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ATENEO DE DAVAO UNIVERSITY
ATENEO DE DAVAO UNIVERSITY

LET REVIEWER

Education
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St. Louis Review Center, Inc. Eneelsus Bldg. Gen. Luna St., Davao City Tel. no. (082) 224-2515 or 222-8732 ED-TECH POST – TEST 1. Which of the following statements is correct about the domains of educational technology? A. Design is the production stage while development is the planning stage. B. Both the design and development are the planning stage, C. Evaluation is synonymous with implementation. D. Utilization is the action phase. 2. Ms. Cruz was hired in a well-equipped school but she has to start preparing her instructional materials before classes begin. Which of the following is a systematic process in preparing her materials? A. design – utilization – evaluation - development B. design – development – utilization – evaluation C. development – design – utilization – evaluation D. development – utilization – evaluation – design 3. Ms. Briones is planning to integrate technology in her Mathematics class. Which of the following would be her second step? A. set the objectives B. analyze the learners C. utilize the materials with showmanship D. evaluate the performance of the students 4. Which of the following should Ms. Gomez primarily consider in determining her teaching and learning objectives and use of instructional media? A. the learner C. the instructional activity B. the teacher D. the instructional strategy 5. Which is the best reason why teachers state the objectives before using instructional media? A. To be able to practice how to operate the equipment. B. To determine which media to use best. C. To prepare the materials beforehand. D. To secure available materials. 6. Ms. Villegas is thinking of an educational technology that can relay information clearly to her class. Which principle will guide her in the selection of the material? A. interest C. cost effectiveness B. meaningfulness D. communication effectiveness 7. Mrs. Zinampan presented real samples of rocks when she discussed the different forms of rocks. What principle in the selection of instructional material did she apply? A. interest C. cost effective B. B authenticity D. responsiveness 8. Which of the following is a limitation of conventional technologies in teaching and learning? A. They pose problems on storage.. B. They are less abstract and more concrete. C. They are readily available in the environment, around school, and in the home. D. They provide hands-on learning experiences and emphasize real-world E. applications 9. which of the following is not a contribution of technology to the learning process? . A. The quality of learning can be improved B. The delivery of instructions can be more interesting C. The role of the teacher can be changed into a demonstrator. D. The method of teaching and learning becomes more interactive 10. In what way can instructional aids foster learning? A. Reinforce learning B. Entertain students C. Take the place of the teacher D. Holds students in the classroom 11. With the pervasiveness of technologies nowadays, a learner-centered instruction can be promoted. Which of the following statements support this approach to teaching? I. It focuses on transformation of facts. II. It supports the use of lecture and drill methods. III. It gives emphasis on collaboration and authentic assessment. IV. Students work on tasks determined and controlled by the teacher. A. I and II only C. II and IV only B. I and III only D. III and IV only 12. Prof. Villamin’s students use cooperative learning, inquiry based and project-based learning approaches in creating their digital unit plans. What can be developed among the learners through these approaches? A. repetition and active learning B. repetition & information delivery C. information processing and active learning D. construction of knowledge and information exchange 13. Which of these technologies are arranged from the most symbolic to multisensory? A. real objects, print, audio-visual materials, and visual materials B. visual materials, audio visual materials, print and computers C. visual materials, print, audio-visual materials and realia D. print, audio, visual materials, and computers 14. Which group of technologies has the highest degree of abstraction? A. book, imaginative literature, programmed instruction B. digital video, film, versatile compact disc C. video, pictures and television D. realia and computer 15. Mrs. Soriano, a Grade V teacher prefers to use textbooks than other instructional materials. What could be her reason for using it? A. Textbooks can be easily duplicated. B. Textbooks quickly become updated. C. Textbooks address the needs of diverse students. D. Textbooks contain most of the materials they need to learn in the course. 16. It is impractical to bring real objects to the classroom so Ms. Simangan constructed a threedimensional visual instead. Which of the following did she construct? A. cartoon C. graphic B. chart D. model 17. If a teacher wants to teach her pupils the skill to organize and integrate related concepts, which of the following is the most appropriate graphic organizer to use? A. timeline C. venn diagram B. fishbone D. semantic webbing 18. Which graphic organizer is used to show how a series of events interact to produce a set of results again and again? A. Series of events chart C. cycle B. Web D. timeline 19. Which instructional aid requires pupils to verbalize? A. graphic C. . model B. diorama D. . video 20. Which of the following is inappropriate in using printed visuals such as charts, graphs, and drawings? A. Provide written or verbal cues to highlight important aspects of visuals. B. Allow the students to pass the materials from one person to another. C. Use materials that everyone can see. D. Present the material one at time. 21. Under what category will a globe as an instructional material fall? A. Realia C. solid model B. mock up D. cutaway model
22. Prof. Agustin would like to provide hands-on experience on the expansion and contraction of matter. Which of the following materials would be the best to use? A. models C. realias B. pictures D. slides 23. Ms. Sarah finds the chalkboard an effective instructional material up to present. However, just like any other materials, it also has its limitations. Which one is it? A. It allows spontaneity, speed and change. B. Absent students cannot keep up with their assignments. C. It is valuable for emphasizing the major points of the lesson. D. It can be used for displaying pictures and important clippings. 24. With which learning style group are manipulatives MOST effective? A. Master style group B. Interpersonal style group C. Understanding style group D. Self- expressive style group 25. Which does a pupil use when s/he sings a concept to a familiar tune in order to help himself commit the concept to memory? A. rap C. pop B. jingle D. lullaby 26. Prof. Arcilla would like to use audiocassette tape in teaching a lesson in English. In which activity is audiocassette tape very effective in the teaching-learning process? A. in developing listening skills B. in teaching creative writing C. in composing poems D. in building concepts 27. Romalyn is going to discuss about The ADDIE Model to a big class. She is planning to use a technology by which parts of her presentation could be partly hidden to make it more exciting and interesting. What do you think shall she use? A. model C. transparency B. realia D. video 28. Marife wants to make a presentation material wherein more additional transparent sheets with information can be placed over a base transparency. Which one should she make? A. cut-out C. silhouette B. puppet D. overlay 29. Which one is used with 2D and 3D materials? A. Opaque projector C. digital projector B. overhead projector D. slide projector 30. After watching the film, “Muro Ami’, the students of Mrs. Tamaray are expected to show a demonstrative proof of what they have learned. How is the technology used in thissituation? A. entertainment C. instructional B. informational D. entertainment and informational 31. Self made charts and illustrations serve as universal aid for bringing fascinating and exciting experiences in the classroom. To tap the optimum potentials of these materials, which of the following should be avoided? A. Giving due consideration to lettering. B. Presenting materials with accurate facts. C. Giving more importance to austerity over legibility. D. Focusing on the main idea of the lesson presented. 32. Kamyl used overhead transparencies when she presented her assigned topic to class. What type of educational technology are transparencies? A. printed material C. projected material B. graphic material D. non-projected material 33. Which instructional material/s is/are MOST fit in contextualized learning? A. TV C. pictures B. Slides D. field trip 34. Ms. Villanueva wants to teach the students the performance of a certain skill such as dancing. Which technology would be the most appropriate and convenient to use? A. film C. television B. video D. printed material 35. Slides are miniature transparencies. They can be created with simple cameras and simple equipment. They display color in a realistic manner. However, they also have some limitations. Which one is it? A. They can be easily updated and revised. B. They can be adapted to group or to individual use. C. They can get out of sequence if handled individually. D. They can be combined with taped narration for greater effectiveness. 36. Mrs. Santos used a film clip in teaching science concepts to her Grade Six class. However, she found out that it was inefficiently used in the classroom. When is a technology considered inefficient? A. When it makes viewing more interesting. B. When it increases the time to master the lesson. C. When it helps attain the objectives of the lesson. D. When it enhances understanding of new lesson. 37. Prof. Manantan’s lesson in EPP is about “Pagtatanim ng halaman” to her students. How can she make her lesson more interesting and meaningful? A. Have a viewing activity about the lesson. B. Have them read their EPP book. C. Give them a collaborative work. D. Let them listen to a gardener. 38. Prof. Delos Santos would like her students to give more accurate observations about plants in the environment. Which technique would help her attain her objective? A. Bring them to the garden. B. Bring actual plants to class. C. Show colorful pictures to the class. D. Let the class read books about the topic. 39. Which of the following should be avoided in presenting visuals? A. Show visuals with an element of suspense. B. Shut off the overhead projector when explaining lengthily. C. Present all the materials simultaneously to hold the learners’ interest. D. Erase any writing on the chalkboard or whiteboard when you no longer need it. 40. After listing down the advantages and disadvantages of computers, Mrs. Muñoz decided to purchase a computer for her class. Which do you think is the last consideration in purchasing the equipment? A. Computers can make her more efficient. B. Computers can be a form of entertainment. C. Computers can enhance teaching and learning. D. Computers can be used for interactive presentations. 41. Marnel prepares his school research works using computer to submit his requirements on time. Does the computer make him productive and efficient? Why? I. Yes, because it can generate its own data. II. Yes, because it can make one’s work easier. III. Yes, because it can perform tasks fast and accurately. A. I and II C. II and III B. I and III D. I, II and III 42. Prof. Aguinaldo would like to integrate technology in writing a friendly letter. How can he do it effectively? A. Let the pupils surf a friendly letter from the Internet. B. Have the pupils write a friendly letter and send it through an email. C. Have the pupils forward a downloaded friendly letter to others via email. D. Let the pupils write a friendly letter using word processing and have it critiqued by E. their peers. 43. Which of the following is known for its strength of giving immediate feedback? A. video C. digital encyclopedia B. story book D. computer-assisted instruction
44. Which of the following computer-based instructional material can be used to learn new concepts? A. games C. simulation B. tutorial D. drill and practice 45. 45. Prof. Natividad would like to create a presentation material for his lesson on the types of computer-assisted Instruction. Which tool should he use? A. communicative tool C. productivity tool B. Informative tool D. situating tool 46. Prof. De Guzman uses an online learning approach by which content provides links to information at other locations and serves as a focal point for a distance education experience. Which of the following does he use? A. computer-aided instruction B. web-based instruction C. self-paced program D. teleconferencing 47. Mr. Villena searches for related literature by accessing several databases in the library computer that is connected with other computers that have databases. How is this termed? A. CD ROM search C. mechanical search B. computer search D. online search 48. Which pair of tools provide synchronous communication? A. chatroom and email B. email and bulletin board C. video conferencing and blogs D. instant messaging and chatroom 49. Should Mrs. Reyes allow her pupils to surf the Internet in creating a group newsletter during her English class? Why? A. No, because pupils may just be exchanging messages via email. B. No, because the pupils might open undesirable websites. C. Yes, to allow the pupils to chat with their friends. D. Yes, as long as it is used effectively. 50. Which of the following should you ask yourself in evaluating the content of an instructional material? A. Do the materials reinforce learning effectively? B. Are the materials of high technical quality? C. Does the content match the curriculum? D. Is it appropriate for the students? 51. Which of the following statements does NOT describe educational technology? i. It includes hardware and software. ii. It refers to the efficiency of teachers in using computers iii. It is the development, application, and evaluation of systems, techniques and aids to improve human learning. A. i only C. Both ii and iii B. ii only D. Both i and iii 52. What should Mr. Asuncion determine first in the selection of media in teaching? A. needs of the students C. technique to be used B. availability of the media D. objectives of the lesson 53. Which is the most important reason why teachers preview materials to be used in class? A. To gain confidence in using them. B. To encourage viewers to be more focused. C. To avoid potential problems that might occur while materials are in use. D. To ensure appropriateness of the materials with the objectives and target audience. 54. After Ms. Raca planned her lesson in English, she found out that the materials at hand do not match her objectives. Which is the best thing that she can do? A. Modify the available materials. B. Teach the lesson the following day. C. Change the objectives to match with the available materials. D. Carry out the lesson as planned and use the materials at hand. 55. Prof. Balagtas used worksheets, manipulatives and models in teaching math to help her students understand the lesson and love the subject. What did she bear in mind when she used these materials? A. appropriateness C. breadth B. balance D. variety 56. Ms. Torres always makes sure that text, animation and color do not confuse students in her presentation materials. Which principle is applied? A. simplicity C. responsiveness B. variety D. cost effectiveness 57. Mrs. Reyes, a librarian, informed the students as well as the teachers that several software are available for classroom instruction and individual learning. Which material is she referring to? A. Computers C. Television set B. CD-ROM D. VCD and DVD players 58. Susan’s mother tongue is a vernacular. Which of the following materials would be the most efficient and effective material to learn a second language? A. interactive multimedia B. pictures and print materials C. audio compact discs and radio D. printed materials and real objects 59. Computer can be a good tool for individualized instruction. Which of the following aspects can be a deterrent for its full utilization in the classrooms? A. economic C. social B. physical D. technical 60. With the increasing use of educational technology inside the classroom, what roles are expected of the teacher? A. facilitator C. knowledge giver B. demonstrator D. source of information 61. Which of the following technologies are properly classified? A. computers, compact discs, film, television B. imaginative literature, book, programmed instruction C. versatile compact disc, printed material, diagram, sketches D. digital video, phonograph, compact discs, radio, audio tape 62. Which of the following technologies are arranged from the most concrete to the most abstract? A. motion pictures, verbal symbols, visual symbols, radio, realias B. realias, visual symbols, television, motion pictures, still pictures C. realias, motion pictures, still pictures, visual symbols, verbal symbols D. verbal symbols, still pictures, visual symbols, models, motion pictures 63. Which is the best way to present instructional materials? A. concrete ->semi-concrete-> abstract->semi-abstract B. semi-concrete-> concrete -> abstract-> semi-abstract C. abstract->semi-abstract-> semi-concrete-> concrete D. concrete ->semi-concrete-> semi-abstract -> abstract 64. Which of the following technologies provide iconic experiences? A. videos and computer B. books and periodicals C. audio and audio materials D. printed and verbal symbols 65. How can Prof. Ubiña best promote the use of multimedia in teaching Science to her coteachers? A. Sell multimedia at low cost. B. Demonstrate its use to them. C. Explain the literature supporting its use. D. Convince the principal to require the use of technology.
66. There are countless things in the environment that you and your students can use to learn from such as trees, globes, pebbles, blocks etc. These real objects and models are really effective if they are utilized properly. Which of the following is incorrect about the use of real objects and models? A. Familiarize yourself with the object or model. B. Allow passing of a single object around the class. C. Make sure that objects/models are large enough to be seen by the whole class. D. Encourage students’ participation through questioning and having students E. decide the next step. 67. Aaron constructed a three dimensional material to simulate the circulation of blood. Which of the following did he construct? A. A solid model C. mock-up model B. cutaway model D. cross-sectional model 68. Which is a two-dimensional representation of the earth’s geographic and/or political features? A. globe C. mock-up B. map D. model 69. You asked your students to illustrate what they have understood from what they have read. Which of the following non-projected visuals are you referring to? A. printed visuals C. models B. graphics D. realias 70. Which software should Dr. Balagtas to manipulate numerical data in the computer? A. Spreadsheet C. word processing B. desktop publishing D. multimedia 71. Prof. Silva uses projected visuals such as OHP in presenting her lesson. What could be her main reason in using such an educational technology? A. The materials are readily available. B. Most visuals can be obtained at no cost. C. It is more abstract than any other visuals. D. She can easily prepare her own transparencies in advance. 72. Ms. Pacheco showed a segment of matter in “sine skwela” to her pupils without a follow-up activity. Thus, the pupils got low in the test. What does this imply? A. TV makes viewing enjoyable. B. TV promotes mastery of the lesson. C. TV induces alienation on the part of the learners. D. TV is effective when learners attain the lesson objectives. 73. Which activity is closest to the real thing? A. hear C. watch a demonstration B. view images D. perform in a presentation 74. Your department would like to purchase a computer set as your project. Which of the following advantages of computer will be your last consideration in purchasing it? A. It can enhance the teaching and learning process. B. It can be used for interactive presentation. C. It can be used for research activity D. It can be used for entertainment. 75. Prof. Orencia will have a digitized presentation to pre- service teachers. Which of the following will make her presentation appealing and effective? A. Observe maximum use of animations and graphics together. B. Apply as many computer effects per slide as possible. C. Reinforce textual information with graphic organizers. D. Use as many color as possible. 76. Why are computers increasingly becoming pervasive in schools nowadays? A. Schools advocate the use of computers. B. They increase efficiency and productivity. C. Anybody can operate computers without formal training. D. Students have access to computers in school and at home. 77. There are several reasons why teachers are reluctant in using electronic media in the teaching-learning process. Which is the most common reason? A. The difficulty in integrating them in the curriculum. B. The limited exposure of teachers to new equipment. C. Their incompatibility to diverse needs of the learners. D. The excessive availability of local technology in the community. 78. With the number of senses to be stimulated as criterion, which one should be first in thelist? A. multi sensory aid C. visual aid B. audio-visual aid D. audio aid 79. Which of the following is considered in terms of technical quality of a material? A. stereotyping C. color and size of text B. vocabulary level D. students’ achievement 80. Which statement is true about the opaque projector and overhead projector? A. An opaque projector allows more flexibility than an overhead projector. B. An overhead projector allows more flexibility than an opaque projector. C. Opaque and overhead projectors can instantaneously project 3D visuals well. D. The series of still visuals in an opaque projector are arranged in a fixed pattern but not in an overhead projector. 81. A grade II teacher wanted to show the parts of a seed by using a large, wooden seed visual aid with detachable cotyledons and tiny seed. Under what classification does wooden structure fall? A. assembly model C. realia B. cutaway model D. solid model 82. Which term refers to a model which is constructed so as to emphasize a particular part or function? A. audio recording C. mock-up B. simulation D, realia 83. Which is the best use of computers to students like you? A. They are used for chatting and surfing the net. B. They are used for research and collaboration. C. They are used for playing online games. D. They are used for watching movies. 84. Which statement makes technology ineffective in student learning? A. It develops higher thinking skills. B. It prepares students for the workforce. C. It enhances students’ collaborative skills. D. It decreases achievement in content learning. 85. You plan to use instructional materials to a big class-size. Which of these will you not use? A. pictures C. 27-inch television B. projection device D. computer with LCD projector 86. Computers can be classified according to the roles they play namely communicative tool, informative tool, and constructive tool. What is the other role of computes in the options below? A. instructional tool C. utility tool B. situating tool D, application tool 87. Which of the following categories of CAI will you use in your class if your objective is to increase proficiency in a newly learned skill or refresh an existing one? A. tutorial C. simulation B. drill and practice . D. Instructional game 88. Which of the following is an ineffective use of presentation software? A. Darken the room B. Use appropriate pacing C. Read directly from the slides. D. Allow interaction with the learner. 89. Which of the following is NOT an example of communicative tool? A. multimedia encyclopedia B. teleconferencing C. electronic mail D. chat
90. Which is a characteristic of the teaching machines of B. F. Skinner? A. It does not need any feedback. B. It requires teacher’s assistance. C. It is meant for a collaborative work. D. It allows a student to learn at his/her own pace. 91. Why is one-way delivery of information a misuse of communication tools? A. because the teacher expects the student to study more B. because it requires activities that focus on thinking than responding C. because it enables the users to focus more on higher level cognitive activities D. because this kind of practice lessens interaction capabilities of communication tools 92. Internet consists of thousands of connected computer networks around the world. Which term does NOT refer to Internet? A. A. NET C. “Cyberspace” B. B. Online D. “Information Superhighway” 93. Your class adviser is planning to have an asynchronous communication with your classmates. Which technology tools can she use? A. chat and blog B. chat and instant messaging C. blog and video conferencing D. electronic bulletin board and email 94. In your computer subject, you allow your class to chat as a part of your motivation before discussing them the roles of computer. How is chat used in this context? A. Communicative tool C. Application tool B. Informative tool D. Situating tool 95. Your mother wanted to finish her long dreamed course but she wanted to do it at home during her free time. How could you help your mother in pursuing her dream? A. Encourage her to hire a helper so that she can attend regularly to her class. B. Give up your study so that your mother can attend her classes. C. Enroll her to the school where you enrolled. D. Enroll her in distance education 96. The following statements are true about computer conferencing. Which is an exception? A. It refers to live student interaction with an expert. B. It is also known as discussion forum or bulletin board. C. It also refers to online class discussions, forums or debates D. It permits two or more individuals to engage in asynchronous text-based dialogue. 97. Which instructional tool application will you introduce to your class if your objective is to help them find and use information resources available in the internet? A. Webquests C. Scavenger Hunt B. Hybrid course D. Distance education 98. Maryjane is looking for an organized instructional program in which the teacher and learners can be physically separated. Which of the following will she choose? A. Distance Education B. Uniform Resource Locator C. Web Quests D. Computer-Based Instruction 99. Prof. Ruscoe would like to show Rizal’s museum to the students but due to financial constraint, she couldn’t bring them there. What should she do to make the teachinglearning process more realistic? A. Conduct a virtual tour. B. Use DVD with less resolution. C. Show pictures of the museum to the whole class. D. Go to the museum and relate all observations made. 100. Which of the following should you avoid if you were asked to evaluate the effectiveness of an instructional game after using it in teaching a lesson in high school science? A. Present problems which are relevant to learning objectives. B. Allow learners to select different content materials. C. Provide a cooperative learning atmosphere. D. Provide a scoring system. * * * * * T H E E N D * * * * * POST TEST ED-TECH 1. Which of the following statements is correct about the domains of educational technology? 1. D 51. B 2. B 52 A 3 A 53 D 4 A 54 A 5 B 55 D 6 D 56 A 7 B 57 B 8 A 58 A 9 C 59 A 10 A 60 A 11 B 61 B 12 D 62 C 13 D 63 D 14 A 64 A 15 D 65 B 16 D 66 B 17 D 67 C 18 C 68 B 19 A 69 B 20 B 70 A 21 C 71 D 22 C 72 D 23 B 73 D 24 C 74 D 25 B 75 C 26 A 76 B 27 C 77 B 28 D 78 A 29 A 79 C 30 C 80 A 31 C 81 A 32 C 82 C 33 D 83 B 34 B 84 D 35 C 85 A 36 B 86 B 37 C 87 B 38 A 88 C 39 C 89 A 40 B 90 D 41 C 91 D 42 D 92 B 43 D 93 D 44 B 94 A 45 C 95 D 46 B 96 A 47 D 97 C 48 D 98 A 49 D 99 A 50 B 100 B
FILIPINO POST – TEST I. Panuto: Bilugan ang titik ng wastong sagot. 1. Agad na sumigaw ang bata ____ makitang dumating ang kanyang kapatid a. ng b. nang 2. Ang mga mag-aaral ay nagkasundo _____ sa iminungkahi ng guro. a. din b. rin 3. Ang bawat tao _____ ay kailangang isakatuparan ang kanyang mithiin sa buhay. a. Daw b. raw 4. Ang kirot ay unti-unti ______ nawawala. a. ng b. nang 5. Ayon kay Jose Rizal, ang mga bata _____ ang siyang pag – asa ng bansa. a. daw b. raw 6. Sa Sabado _____ gabi mawawalan ng kuryente. a. ng b. nang 7. Hindi na nakaramdam ng gutom si Kuya mula _____ siya ay natulog. a. ng b. nang 8. _____ dalang pusa ang Inay nang umuwi. a. May b. Mayroon 9. Maya-maya ay sisingaw _____ ang amoy ng Patay. a. din b. rin 10. Ang dunong ay kailangan ng tao ngunit kailangan _____ niya ang tulong ng Maykapal. a. din b. rin 11. Sino ba ang sumisigaw _____ at nagtatakbuhan ang mga tao. a. doon b. roon 12. _____ tainga ang lupa, may pakpak ang balita. a. May b. Mayroon 13. Ang bawat tao sa mundo ___ ay dapat magkaunawaan para sa kanilang ikabubuti. a. Daw b. raw 14. Ang Pilipinas ay malakas ____ tulad ng Singapore kung karapatan ang Pag-uusapan. a. din b. rin 15. Unti- unti ____ humuhupa ang kanyang galit. a. Ng b. nang II. Ibinigay ang kahulugan ng salitang may salungguhit. 16. Narinig ko ang alawat ng mga bata sa silid ng mag- asawang Maria at Jose. a. ingay c. sigaw b. mahinang alingawngaw d. tawanan 17. Ang Itay ay alimbuyaw nang dumating kanina. a. Aburido c. Patakbo b. Masaya d. sumigaw 18. Si Tj ay isang anluwagi nang mapangasawa ni Luisa. a. Guro c. karpintero b. katulong d. pulis 19. Kakarampot ang nakuha kong ulam sa mesa. a. marami c. malalaki b. katiting d. mamhahaba 20. Alumpihit ang Itay habang hinihintay ang Inay. a. Kabang-kaba c. Di-mapalagay b. Siyang- siya d. Tuwang-tuwa 21. Iyon ang kinamihasnan ng babaeng iyon sa bundok kaya di-makaunawa sa iyo. a. natutuhan c. napag-aralan b. kinagawian d. nagustuhan 22. Ang alipustahin ang mga dukha ay di kanais-nais na pag- uugali. a. layuan c. talikdan b. apihin d. kagalitan 23. Nakita kong pakimod na sumagot ang babae sa dalaga nang mag-usap sila. a. Paismid c. patawa b. Pangiti d. pasigaw 24. Isang indihente ang tumawag ng aking pansin dahil sa nakakatawang ayos nito. a. Maralita c. mag-asawa b. Matanda d. paslit 25. Naging Cum Laude si Memi dahil siya ay nagsunog ng kilay gabi-gabi. a. nagbubunot c. nag-aahit b. puspos sa pag-aaral d. nag-aayuno 26. Parang balat-sibuyas ang kutis ng babaeng ito. a. namumula sa bilog c. mahaba at payat b. napakaputi at malinis d. pino at malambot 27. Kapit-tuko sa isat’-isa habang naglalakad ang magkasintahang Heart at Echo. a. away nang away b. mahigpit na magkahawak-kamay c. malayo ang agwat d. patakbo 28. Ang langitngit ng mga bintana ay gumigising nang lubos sa katahimikan ng silid-aralan. a. Alatiit c. dekorasyon b. kulay d. sira 29. Mataginting na tinanggap ng batang paslit ang pangaral ng guro. a. maingay c. mapayapa b. pasigaw d. paismid 30. Ang paswit ay sa aso, ang Oo ay sa tao. a. Palo c. buto b. Sipol d. sigaw III. Ibinigay ang tamang sa mga tulang bayani 31. Ang tawag sa mga tulang bayani a. dalit c. senakulo b. epiko d. duplo 32. Tinaguriang Joseng Batute ng Pilipinas a. Jose Garcia Villa c. Jose Corazon de Jesus b. Francisco Baltazar d. Modesto de Castro 33. Mga sagisag na ginamit ni Rizal a. Piping Dilat c. Pudpod at Plaridel b. Dolores Manapat d. Dimasalang at laong laan 34. Ang “ prinsipe” ng makatang Tagalog a. Modesto de Castro b. Francisco Baltazar c. Fernando bagong Lanta d. Jose Garcia Villa 35. Siya ay tinaguriang “ Ama ng Balarila ng Wikang Pambansa” a. Jose Villa Panganiban c. Severino Reyes b. Lope K. Santos d. Rafael Palma 36. Isang dula noong panahon ng Hapon na isinulat ni Francisco Soc Rodrigo a. Panibugho c. Panday Pira b. Sa pula, Sa Puti d. Luha ng Buwaya 37. Ama ng Katipunan a. Emilio Jacinto c. Apolinario Mabini b. Andres Bonifacio d. Marcelo H. del Pilar 38. Isang uri ng panitikan na nagsasaad ng simulain ng mga bagay o tao sa daigdig a. tula c. alamat b. tibag d. maikling kwento 39. Pinakabantog at pinakamahalagang awit na nasulat ni Francisco Baltazar a. Senakulo c. duplo b. epiko d. Florante at Laura 40. Ang kauna-unahang Pilipinong manlilimbag a. Marcelo del Pilar c. Jose Maria Panganiban b. Tomas Pinpin d. Emilio Aguinaldo 41. Ang tawag sa ating unang alpabeto a. Alpabetong Romano c. Kartilya b. Alibata d. Romanisasyon 42. Ang taong may “memorya fotograpica” a. Jose Maria Panganiban b. Jose Garcia Villa c. Jose Corazon de Jesus d. Jose Rizal
43. “Ama ng Dulang Pilipino” a. Julian Balmaceda c. Lope K. Santos b. Severino Reyes d. Emilio Jacinto 44. Siya ay tinaguriang Joseng Sisiw a. Jose Villa Panganiban c. Jose dela Cruz b. Pedro Paterno d. Modesto de Castro 45. Ang kilalang epiko ng mga Muslim a. Hudhud c. Hinalawod b. Darangan d. Bantugan 46. Ang kauna-unahang aklat na nalimbag sa pilipinas a. Pasyon c. Doctrina Christiana b. Barlaan at Josaphat d. Florante at Laura 47. Ama ng Wikang Pambansa a. Emilio Aguinaldo c. Aurelio Tolentino b. Manuel L. Quezon d. Florante at Laura 48. Ang “ Orator ng Pagbabago” a. Graciano Lopez Jaena c. Urbana at Feliza b. Mariano Ponce d. Jose Buhain 49. Isang dulang nagwagi ng kauna-unahang Gatimpalang Palanca a. Medusa c. Urbana at Feliza b. Tibag d. Hulyo 4, 1946 A.D 50. Ang may-akda ng “Ang Cadaquilaan ng Dios” a. Emilio Aguinaldo c. Julian Felipe b. Marcelo H. del Pilar d. Lopez Jaena 51. Baston ni Adan Hindi mabilang-bilang a. buhok c. dahon b. ulan d. palay 52. Ang dalawa’Y tatlo na, Ang maitim ay maputi na Ang bakod ay lagas na a. aso c. matandang tao b. kalabaw d. punong kahoy 53. Ang anak ay nakaupo na Ang ina’y gumagapang pa a. kalabasa c. sanggol b. saging d. aso 54. Kung araw ay bumbong Kung gabi ay dahon a. saging c. atip ng bahay b. banig d. paying 55. Isang reyna Nakaupo sa tasa a. kandila c. kasoy b. kapa d. santol 56. Dalawang magkaibigan, unahan nang unahan. a. trak c. bibig b. paa d. mata 57. Dalawang bolang sinulid Umaabot hanggang langit a. bola c. lobo b. mata d. saranggola 58. May ulong walang mukha May katawan, walang sikmura Namamahay nang sadya a. pako c. upo b. palito ng posporo d. talong 59. Bumili ako ng alipin Mataas pa sa akin a. payong c. sombrero b. atip d. bahay 60. Tubig sa ining-ining Di mahipan ng hangin a. ilog c. ulan b. balon d. dagat 61. a. eskursiyon c. exkursion b. iskursiyon d. excursion 62. a. scout c. iskawt b. escout d. skawt 63. a. colisiyon c. koliseum b. kolisiyum d. coliseum 64. a. Istadyum c. Estadyum b. Stadium d. estadium 65. a. Matematika c. matimatika b. Mathematica d. matemateka 66. Karamihan sa mga sugapa ay mula sa wasak na tahanan. a. malaki ang sita ng bahay b. maliit lamang ang bahay c. magkahiwalay ang magulang d. walng magulang 67. Matagal na lumagay sa tahimik si Marcia. Ang ibig sabihinay _______. a. matagal na namatay c. hindi na nagpakita b. nag-asawa na d. nanganak na 68. Alin ang salawikain sa sumusunod: a. Nasa Diyos ang awa Nasa Tao ang gawa b. Di-maliparang uwak c. May puno walang bunga May dahon walang sanga d. Nag-bubuhat ng sariling bangko 69. Ang bagong alpabetong Filipino ay may ______ ng letra. a. 20 b. 24 c. 28 d. 30 70. Ito ay bahagi ng aklat na makikita sa likod. Ito ay talaan ng lahat na mahalagang paksa kasama ang pahina. Ang mga paksa ay nakasulat sa paalpabeto. a. Talatuntunan c. Talahulugan b. Talatinigan d. Talaan ng nilalaman 71. Isang kuwento ng ang gumagapang ay mga hayop na kumikilos at nagsasalita na parang tao. a. Parabola c. kuwento b. pabula d. alamat 72. Ito ay isang uri ng dula na nawawakas a pagkamatay ng pangunahing tauhan. a. komedya c. melodrama b. epiko d. trahedya 73. Isang kuwento hango sa banal na kasulatan na umaakay sa tao sa matuwid na landas ng buhay. Ito ay may aral. a. Anekdota c. parabola b. alamat d. sanaysay 74. Isang tagisan ng mga talino sa pamamagitan ng katwiran sa pamamaraang patula. a. balagtasan c. tula b. talumpati d. duplo 75. Si severino Reyes na lalong kilala sa tawag na Lola Basyang ay higit na kilala sa larangan ng: a. dulaan c. pag-awit b. pagtula d. balagtasan 76. Ang Kumitang ay isang uri ng awiting bayan. Ito ay may karaniwang inaawit sa: a. paghaharana c. paghehele b. pakikidigma d. pamamangka 77. Ang senakulo ay isang panrelihiyon; ito ay naglalayon na a. ipaala ang kapanganakan ni Hesukristo b. ipakita ang pagkakapatiran ng mga Kristiyano at Muslim c. magsalarawan ngmga pinagdaanang buhay at kamatayan ni Hesukristo d. magligtas sa mga kasalanan 78. Sa akda niyang “Guryon”, ipinalintulad ni Idelfonso Santos ang Guryon sa: a. buhay ng tao c. anyo ng pagpapalipad b. tibay ng pisi d. hanging habagat 79. “Unupo si Itim, sinulot ni Pula, heto na si Puti na bubuga- buga.” Ito ay halimbawa ng isang: a. bugtong c. alamat b. salawikain d. kuwentong bayan 80. “Ang sinuman ay makabubuo ng matibay na lubid kung pagsasamahin ang sinulid.” Ang ibig sabihin ng kasabihang ito ay: a. Mahirap magkaisa ang mga tao. b. Madali ang gumawa ng lubid kung may sinulid c. Kailangan natin ang lubid sa ating mga Gawain. d. Magkakaroon tayo ng lakas kung tayo’y magkakaisa.
81. “Ang taong nagigipit sa patalm kumapit.” Ano ang ibig sabihin ng salawikaing ito: a. Ang kaligtasan ng taong nagigipit ay sa tapang ng dibdib b. Susuungin ng tao kahit ani mang panganib upang malunasan ang kanyang problema c. Malapit sa panganib ang mga taong nagigipit. d. Huwag makiharap sa taong nagigipit sapagkat siya ay siguradong galit 82. Alin sa sumusunod ang hindi tuluyang anyo ng panitikan? a. korido c. kuwentong bayan b. alamat d. maikling kuwento 83. Tukuyin kung anong uri ng panitikan ang “Isang bayabas, pito ang butas.” a. Sawikain c. Salawikain b. Idyoma d. Bugtong 84. “Ano man ang tibay ng piling abaka ay wala ring lakas kapag nag-iisa.” Isinasasaad ng salawikaing ito ang kahalagaan ng : a. pagkakaisa’t pagtutulungan b. tibay ng dibdib at lakas kahit nag-iisa c. pagkakaroon ng lakas kahit nag-iisa d. pagpapalakas ng loob lalo’t nag-iisa 85. Sa akin lipain doon nagmula Lahat ng pagkain nitong ating bansa Ang lahat ng tao mayaman o dukha Sila’y umaasa sa pawis ko’t gawa. Ano ang ipinahihiwatig ng saknong? a. Lahat ng pagkain ay sa magsasaka nagmumula b. Lahat ng magsasaka ay may lupang sinasaka c. Lahat ng tao’t bagay ay galling sa lupa d. Lahat ng umaasa sa biyayang galling sa magsasaka. 86. Ang kaibigan ko ay isa lamang maralita. a. mangmang c. mabait b. maliliit na tao d. mahirap 87. Si Nena ay inaruga ng kanyang lola mula pa noong siya’y maulila. a. pinabayaan c. inalagaan b. pinamigay d. kinuha 88. Palasak na ang desenyong iyan. a. pambihira c. magastos b. pangkaraniwan d. wala sa moda 89. Ang mga salbahe ay kinamuhian niya a. kinakalinga c. kinatatakutan b. kinukumusta d. kinasusuklaman 90. Ang mga kawal na lumabag sa utos ay binigyan ng babala. a. sundalo c. kusinero b. kaibigan d. pulis 91. Nangangamba ka ba na hindi ka niya pagbibigyan? a. nasisiyahan c. nababanas b. natatakot d. naiinis 92. Ang pagpunta sa Saudi Arabia ay di-gawang biro. a. Madali c. mahirap b. masayang Gawain d. maayos 93. Si Miguel ay sumakabilang buhay na noong Linggo. a. nagpaalam c. nagpunta sa siyudad b. namatay d. nagbayad ng utang 94. Bakit mukhang Biyernes Santo si Marko. a. malungkot c. mukhang masaya b. lumuluha d. tumatawa 95. Nakaririmarim ang nangyaring sakuna sa dagat. a. nakalulungkot c. nakaiinis b. nakatatakot d. nakapangingilabot 96. Ang dayuhang siyang pinakamatalik na kaibigan ni Rizal ay a. Austin Craig c. Otley beyer b. Ferdinand Blumentritt d. Don Eulogio Despujl 97. Dahil sa tulong at pagmamalasakit ni a. Dona Aurora A. Quezon b. Tandang Sora c. Luz B. Magsaysay Sa kapakanan ng mga sinalanta ng sakuna, siyay tinaguriang Ina ng Kruz na Pula. 98. Kung ano ang “Urbana at felisa” sa mga tagalog ang a. Lagda c. Bidasari b. Maragtas d. Hudhud ay siya naman sa mga Bisaya. 99. Sa mga tauhan ng Noli Me Tangere ni Rizal, si a. Basilio c. Capitan Tiago b. Elias d. Simon Ang nagligtas kay Ibarra sa kapahamakan 100. Ang aklat ng mga tinipong tula sa Tagalog ni Lope K. Santos ay pinamagatang a. Damdamin c. Tungkos ng Alaala b. Puso at Diwa d. Mga Dahong Ginto * * * * * T H E E N D * * * * * WORK HARD, DREAM HARDER filipino 1 B 51 B 2 B 52 C 3 B 53 A 4 B 54 B 5 B 55 C 6 A 56 B 7 B 57 B 8 A 58 B 9 B 59 C 10 A 60 B 11 A 61 B 12 A 62 C 13 B 63 B 14 A 64 A 15 B 65 A 16 B 66 C 17 A 67 B 18 C 68 A 19 B 69 C 20 C 70 A 21 B 71 B 22 B 72 D 23 A 73 C 24 A 74 A 25 B 75 A 26 D 76 B 27 B 77 C 28 A 78 A 29 C 79 A 30 B 80 D 31 A 81 B 32 C 82 A 33 D 83 D 34 B 84 A 35 B 85 D 36 B 86 D 37 B 87 C 38 C 88 B 39 D 89 D 40 B 90 A 41 A 91 B 42 A 92 C 43 B 93 B 44 C 94 A 45 B 95 D 46 C 96 B 47 B 97 A 48 A 98 D 49 D 99 D 50 B 100 B
HUMAN GROWTH AND DEVELOPMENT POST-TEST April 2010 Multiple Choices: 1. The process by which certain potentials are inherited from the parents for his development a. Life c. Heredity b. Birth d. Character 2. This theory states that there are 8 basic development stages that the individual has to pass through his life a. Learning Theory b. Psychoanalytic Theory c. Psychosocial Theory d. Cognitive Development 3. Transition age from childhood to adulthood where rapid physical changes and sex maturity occur resulting in changes in ways of feelings, thinking and acting. a. Puberty c. Early adulthood b. Adolescence d. Stage V 4. Modifying an existing scheme after an individual’s interaction with the environment, resulting in the creation of a new scheme. a. Assimilation c. Recognition b. Interaction d. Accommodation 5. Theory stating that a person’s behavior can be motivated by urges towards self satisfaction. a. Psychoanalytic Theory b. Cognitive development theory c. Psychosocial Theory d. Moral development theory 6. The ability of a child to conceptualize the retention and preservation of the same quantity under various changes. a. Recognition c. Assimilation b. Reversibility d. Conservation 7. Refers to the idea that no individual are exactly the same or alike. a. Cognitive theory c. Individual differences b. Exclusivity theory d. Emotional quotient 8. He is known as the Father of Modern I.Q. Test a. Lewis Terman c. Laurence Kohlberg b. Erick Erickson d. Martin Lesley 9. “Intellectual appreciative Experience” is … a. base on the premise that all learning has emotional correlates b. obtained in the field of music, art and literature c. the acquisition and retention o acts and information d. assumes that human activities are based on stimulus and response 10. These statements imply that children at the early learning stage consider parents and teachers as authorities and models. a. Parents and teachers should always coordinate children’s activities b. Parents should enforce strict discipline at home and teachers in school c. Parents and teachers should be the role models at all times d. Parents and teachers should always consult each other with regards the child’s intellectual development 11. Any change in the behavior of an individual a. Learning c. Change b. Response d. Development 12. Which of the following principles IS NOT considered under Classical Conditioning by Ivan Pavlov? a. Excitation b. Adhesive Principle c. Stimulus Generalization d. None of the above 13. The reinforcement of a person’s responses by presentation or removal of rewards and punishment. a. Operant conditioning c. Feedback Principle b. Transfer of learning d. Discipline 14. This stimulation of action best explains the behavior of an individual to take what he perceives to be the shortest route to his goals. a. Recognition c. Response b. Assimilation d. Motivation 15. The process by which an individual acquires the social and cultural heritage o the society where he belongs. a. Socialization c. Integration b. Internalization d. Acquisition 16. Philosophy of education’s main function. a. Aid the leaner to build his own personal philosophy b. Definition o goals and setting of directions from which education c. Educations carries on a lifetime cycle d. Provision of academic background prerequisite to learning 17. According to Froebel, kindergarten is also known as “____________? a. children have fun and enjoyment b. Garden where children could grow c. He learning Center for Life d. Where new beginnings begin 18. Which of the following statements is given emphasis by “humanistic education?” a. The great works of man such as the classics should be enjoyed. b. Man should learn the different philosophies of education c. “Build a man who is distinctly civilized, educations and refined” d. Develop man into a thinking individual 19. A teacher who advocates the pragmatic philosophy of education believes that experience should follow learning, thus, she has to? a. require her student mastery of the lessons b. encourage her students to memorize facts c. equip her students with basic skills and abilities d. provide her student with opportunities to apply their skills and abilities 20. How are institutions of learning encouraged to set higher standards over and above the minimum requirement for state recognition? a. Scholastic achievement b. Faculty development c. Academic freedom d. Voluntary accreditation 21. The period of physical, especially sexual, and mental maturation which is characterized by rapid somatic growth is known as a. infancy c. puberty b. early childhood d. adulthood 22. Claustrophobia is an irrational fear of a. Darkness c. closed space b. strangers d. height 23. An eye defect characterized by clear vision in one dimension but unfocused vision on the other is called a. myopia c. hyperopia b. astigmatism d. presbyopia 24. Which of the following statements does not apply to adolescents? a. they desire the approval of their peers b. they seek dependence on their parents c. they have a marked sex development d. none of the above 25. As young people mature, society expects them to develop competencies and assume social roles in a conventional manner. a. expectation of parents b. influence of peers groups c. influence of formal education d. cultural demands 26. The founder of the theory of psychology called psychoanalysis was a. Lock c. Freud b. Hume d. leibnitz
27. When the learner reaches a point where no further improvement can be expected, he is in a so-called a. development crisis c. regression b. learning plateau d. depression 28. Regarding the sexual maturation o boys and girls, teachers should bear in mind that: a. girls mature at a late stage than boys b. girls mature at an earlier stage than boys c. boys and girls mature at the same time d. there are no marked differences in heir time of maturity 29. Rationalization is used by student who a. always give explanation or reason for their failures rather than own their faults b. like to take the blame for their faults c. bribe their elders with promises d. substitute words for deeds 30. Which of the following is true of Abnormal Psychology? a. it studies the cause of personality defects b. it measures the accomplishments of the individual c. it concentrates on the scholastic performance of the individual d. it investigates the educational background of the individual 31. Which of the following is a continuous variable? a. weight c. nationality b. sex d. race 32. Which of the following is true about one’s IQ? a. it remains fairly constant b. it is highly changeable c. it is affected by attitude d. it is never constant 33. Transfer of training easily takes place if the activities involved a. Are different b. Have identical element c. Occur in the same place d. Vary in difficulty 34. When the learner is well-motivated, he performs his task a. with indifference c. with arrogance b. with disinterest d. with enthusiasm 35. A six-year-old child who has a mental age of eight years has an IQ of a. 120 b. 130 c. 132 d. 133 36. The ratio obtained by dividing mental age by chronological age times 100 is called a. derived quotient b. deviation c. intelligence quotient or IQ d. intelligence ratio 37. Which of the following was written by Plato? a. Sic et Non c. The Republic b. The School and Society d. Emile 38. Who among those below asserted that “Education is for complete living” a. Dewey c. Kant b. Spencer d. Froebel 39. The right of an educational institution and its faculty to prescribe the methods/strategies of teaching refers to: a. building style b. choice of curriculum c. academic freedom d. co and extra curricular program 40. The 1987 Constitution provides that religious institution can be given a. with the students’ consent b. with the parent/guardian approval c. with mayor’s permit d. with the school’s support 41. Public schools in the Philippines are the contribution of which colonizer? a. American c. Japanese b. British d. Spanish 42. Hardship allowance is given to a teacher when a. he’s assigned in a depressed area b. he’s given additional teaching load c. he’s in lahar area d. he’s assigned in a hazardous area 43. The ability for quantitative learning of the relations of facts taken from newspaper readings, letter writing and the like is called: a. functional literacy c. Knowledge outcome b. adjustment learning d. Social competence 44. A teacher who gives a uniform assignment to be worked out by all learners in Arithmetic is not observing a characteristic of a good assignment. Which characteristic is overlooked? a. It should be definite b. It should be stimulating c. It should emphasize the essential d. It should provide for individual differences 45. If a student ask a question which the teacher does not have a ready answer, the latter should: a. dismiss the question as irrelevant b. offer a bluff c. admit the fact that he doesn’t know the answer d. ask volunteers to answer the question and do research on it later. 46. The heredity traits acquired by a person in his lifetime; a. are transmissible to his offspring b. reappear in his future grandparent c. Have no influence on the offspring d. Become recessive traits 47. When student are given a chance to settle differences of opinion by discussion, they develop: a. fair play c. irritants b. tolerance d. sociability 48. The school’s responsibility towards teenagers “gang age” is: a. provide the gang all the freedom it needs b. gives classroom activities to give direction to out-of- school youth activities c. supervise gang activities d. set up norms of conduct or the member of the gang 49. In an intelligence test, a 13-year old girl got a score equivalent to that of a 15-year old. This means: a. that the girl must be accelerated b. that the girl is 2-years older mentally c. that the girl has a chronological age of 15 d. that she has a mental age of 13 50. Which statement is not necessary to achieve the learner’s interest in a learning activity? a. the activity must lead to a practical end b. the activity must be within the ability of the learner c. the activity must fill a need recognized by the learner d. the learner must have the experience that will furnish the background for the activity 51. He is responsible for the theory which recognizes the importance of developing multiple intelligence a. Jean Piaget c. Frederick Freobel b. Howard Gardner d. Sigmund Freud 52. The need to recognize and develop special sensitivity to language, thus helping the learners to use the right word, phrase and/ or graph to grasp new meaning refers to a. visual intelligence c. feelings sensitivity b. linguistic intelligence d. jargon 53. The sensitivity to tone and pitch, allowing one to produce musical scoring is intelligence in? a. musical c. quantitative exercises b. verbal ability d. qualitative analysis 54. One’s ability to do abstract reasoning and manipulate symbols refers to what type of intelligence? a. musical b. personality identification c. mental ability d. mathematical-logical
55. The ability to perceive how objects are related in order to mentally perceive what is seen, thus creating concrete visual images from memory refers to? a. visual-spatial intelligence b. musical c. language d. logical reasoning 56. The capacity to analyze one’s feelings and thus be able to understand and be able to know the motives of other people’s actions. a. spatial c. logical b. personal d. diametric 57. The type of intelligence which enables a person to understand other person’s feelings, behavior and motivation. a. emotional c. social intelligence b. spatial d. quantitative and qualitative 58. The type of intelligence which characterizes actress, actors, mimes, dancers and people of the Arts? a. bodily-kinesthetic c. research b. scientific d. emotions 59. An emerging thrust in determining one’s personality, whether pleasant or unwholesome, this type of personality measurement is the wholesomeness of one’s virtues, i.e., values, relationships with other, adjustments to varying situations, behavior an motivations a. emotional quotient (E.Q.) b. intelligence quotient (I.Q.) c. maladjustment personality d. anticipated behavior 60. It is a measurement of personality which is the result by dividing the mental age by the chronological age. a. emotional quotient (E.Q.) b. intelligence quotient (I.Q.) c. multiple Intelligence d. forecasted behavior quotient 61. The teacher must be aware that both heredity and environment represent complex factors, exerting many specific influences on an individual’s growth. Which of the following statements best represents the influence of heredity and environment? a. Heredity counts; environment is less important. b. If the environment is changed, heredity becomes less important. c. The relative influences of heredity and environment can vary widely in an individual’s growth. d. In the long run, both tend to cancel each other’s influences e. None of the above 62. The best possible way to measure the influence of heredity is by: a. keeping the environment constant. b. Ignoring the environment c. Studying only fraternal o normal capability d. Studying only identical twins of normal capability e. Doing none of the above 63. Educators who contributed to the “open education” movement includes: a. Neill and piaget c. Bruner and Silberman b. Kohl and kozol d. All of the above 64. A child’s social skills can be measured by: a. direct observation and parent-teacher conferences b. psychological test c. adaptive behavior scales d. A and C above 65. A teacher uses behavioral modification techniques in his classes. Which of the following student behaviors would he find most difficult to change? a. Aggressive tendencies toward classmates b. Poor habits in organizing work materials c. Interrupting a speaker d. Abandoning a project before it is finished 66. Learning-disabled children most characteristically have: a. low IQ b. poor socio-economic backgrounds c. an average level of intelligence d. minimal brain damage 67. Which of the following is true about educable mentally retarded children? a. Their IQ range between 50 and 70 b. They have short attention spans and experience difficulty in generalizing c. Their reading, writing, and arithmetic skills cannot be improved d. A and B above 68. Which of the following is characteristics of a dyslexic child a. Mirror writing b. listlessness c. Below-average intelligence d. Hyperactivity 69. Primary reading retardation is presumed to be neurologically based, related to parietal lobe dysfunction? a. Inability to relate sound to letter symbols b. Inadequate auditory information processing c. Left-right directional confusion d. Speech aphasia 70. Students with secondary reading problems have capacity to read, but are non-readers because of: a. auditory problems b. congenital defects c. visual-acuity impairment d. environmental or emotional actors 71. If a teacher accepts Maslow’s theory on the hierarchy of needs, he or she will probably structure objectives to: a. meet both the physiological and intellectual needs of students b. eliminate testing c. eliminate extrinsic motivations d. maintain a certain anxiety level for increased competition 72. The knowledge explosion has led to crowding more and more information into curriculum courses. A likely result is that: a. the textbook will no longer be the main instructional medium in many classes b. the child may spend more time in school c. the teacher may have to rely more on the se of multimedia materials d. all of the above 73. During the learning process the teacher has most control over: a. the learners b. the learning environment c. the learning process d. the behavior of the learners 74. Which of the following conditions does NOT contribute to a climate psychologically suited to learning? a. The teacher acts like a “real person.” b. The teacher makes all of the decisions about students’ learning activities. c. The teacher accepts students as they are d. The teacher shows trust in students’ decisions
75. William Glasser advocates the frequent use of classroom meetings, with teacher and students sitting in a small circle. Which one of the following types of discussion would NOT be appropriate in such a setting? a. An educational-diagnostic conference on the learning weaknesses of individual students. b. An open-ended meeting for the purpose of exploring and discussing student’s ideas about the curriculum c. A social-problem-solving meeting to resolve teacher or student problems elating to the school, the class, or any individual member. d. A sensitivity-training meeting for the purpose of helping students ace their school-related problems and learn how their actions can affect others 76. Which of the following does NOT represent a teacher’s contribution to the emotional environment of the classroom? a. A strident, compelling voice. b. A sustained sense of expectation where student achievement is concerned c. A well-written lesson plan d. A sense of humor in a tense situation 77. According to Jones, student commitment to accomplishing a learning goal depends on all of the following EXCEPT: a. how interesting the goal is b. how likely it seems that the goal can be accomplished c. what degree of challenge the goal presents d. whether the learner will be able to tell if the goal has been accomplished e. whether materials are ready assembled for undertaking the goal 78. The teacher who understands the adolescent’s need to conform will: a. use sarcasm as a disciplinary device b. disregard unique responses in discussion and on examinations c. establish a learning climate that fosters feelings of security d. lecture students on their weakness o character 79. The best public relations agents for a school are the: a. pupils c. PTA members b. Teachers and pupils d. principals 80. The structured curriculum is in decided contrast to the child-centered curriculum, which: a. emphasizes fundamental education b. is changeable and is built around student interest and needs c. is oriented to the needs of a democratic society. d. Utilizes the theory of mental discipline 81. According to Bruner, teacher working with young children should a. Push the children to maximum cognitive development as rapidly as possible b. Present all information verbally so the children will listen well c. Present new material from the concrete to the abstract d. Present new information from the abstract to the concrete 82. from the educational viewpoint, intelligence is: a. an abstract concept b. a trait that can be manipulated c. good judgment d. a form of behavior 83. Every taxonomy of educational objectives: a. describes increasingly difficult learning activities b. describes levels of goals for learner development c. suggest evaluation measure for teacher use d. Classifies learning outcomes 84. A mathematics teacher following Gagne’s theory of learning believes that: a. learning can take place under all conditions b. learning is mainly a mater of accurate discrimination c. learning takes place only when the student is in a receptive state d. learning is reinforced chiefly by classical conditioning 85. Under which of the following conditions is a child’s IQ more likely to increase? a. If the emotional climate in the classroom improves b. If the child is given a large “research” project. c. If the child enjoys problem solving and is given ample opportunity for it d. If A and C are true 86. Intelligence is the basis of education. Education is the effective means for national development, hence, a country spends a large portion of its budget for the systematic training of the learner to attain full development Why is education one major concern of every c country? Because a. intelligence has many facets b. intelligence is useful in testing c. intelligence is a safe gauge for budgetary allocation d. intelligence test when carefully conducted, can help in determining need for future facilities for national building 87. There are no two individuals who are the same. Individual differences, when early recognize and provided for, enable the teacher to provide different motivations and approaches in guiding the learning process. Each pupil differs physically, mentally, socially and emotionally from other children. Unless the teacher provides for this nature of the learner, no amount of modern approaches in teaching can elicit favorable results. a. The paragraph highlights the need or motivating learning b. Individual differences is an important consideration in guiding the learner c. The above paragraph focuses on teacher-pupil relationship d. It takes about the nature of the learning process 88. Robert Craig, et al, wrote of the phase of steps in every learning process. These include: 1.) the focusing of attention to the stimulation at hand, 2.) the interplay of the learner and the social factors that surround him, 3.) the acquisition of a new response or behavior he gives to the new learning and 4.) Retention which presupposes that the new learning is acquired. The above paragraph emphasizes a. the learning process b. the steps/phase of how individuals learn c. the manifestations of learning d. why learning is a difficult process 89. Approaches in teaching change from time to time depending on the traditional of sophistication attached to the course being taught. Some mentors believe that the tie tested ways to teaching is effective. Other are easily carried away to use modern approaches in imparting new subject matter. It maybe safe to conclude that once results are realized in teaching, no specific method can be considered the one-and-only method to use. When teaching a subject area, it is safe to a. stick to the traditional way b. be modern and most recent c. get results in teaching d. to try any method as they are all theories after all
90. In the early 1980’s programmed teaching became popular in helping teachers to provide for individual differences in learners. The chunks of the subject matter which are divided into units are supposed to help the learner master the lesson, since it is simply to understand the frame of the lessons. No test o mastery of the units are done because the purpose is to provide information on certain subject matter Would you as a teacher use programmed instruction if you handle a subject on Values Education? a. yes, definitely b. no, not important for the subject matter c. I don’t know d. Why not if the subject matter calls for it 91. The data/subject matter to teach are gathered in different ways, These include historical sources like surveys, systematic observations, experimentation, interviews, etc. to be reliable and valid, the data collected must be organized, properly analyzed and interpreted. From these processes, some conclusion or generalization are done to reveal certain relationships like cause & effect. Data gathering involves: a. tedious and serious study b. easy does it c. data gathered are tested and filed, then verified before being used d. no follow-up needed 92. Heredity and environment play important roles in the function of human beings. DNA or Deoxyribonucleic Acid is the biological (heredity) band of our genes. Our environment includes the house, school and the community where we live. Whether we become successful or a failure will depend on the interplay of both nature and nurture. If heredity and environment affect the individual, thus, we can conclude that a. both actors play equal roes in one’s life b. one factor, either heredity or environment exerts more influence than the other c. neither factor is important d. nurture and nature are the same 93. The first systematic philosopher to work in the field of education was a. Socrates c. Plato b. Aristotle d. Rousseau 94. The first state in the world’s history where all human capabilities were allowed to develop freely a. Rome c. Sparta b. Athens d. Germany 95. They are the most practical, pragmatic people who absorbed themselves in the management of their state affairs a. Spartans c. Romans b. Athens d. Chinese 96. Invented the first system of writing in the orient a. Phoenicians c. Greeks b. Chinese d. Romans 97. first to introduce the use of printing press in the Philippines a. Romans c. Greeks b. Chinese d. Japanese 98. conducted the world’s first civil service test a. Greeks c. Chinese b. Romans d. English 99. To develop the capacity of man only for war was the educational aim of the ancient a. Romans c. Athenians b. Spartans d. Chinese 100. To produce a young man who would be charming in person and graceful in manner, e.g. a beautiful soul in a beautiful body is the educational aim of education of the a. Romans c. Spartans b. Athens d. Italians * * * * * T H E E N D * * * * * WORK HARD, DREAM HARDER human growth and development 1 c 51 c 2 c 52 b 3 b 53 a 4 d 54 d 5 a 55 a 6 d 56 b 7 c 57 c 8 a 58 a 9 a 59 a 10 c 60 b 11 a 61 c 12 d 62 d 13 c 63 d 14 d 64 d 15 a 65 a 16 b 66 c 17 a 67 d 18 c 68 a 19 d 69 d 20 d 70 d 21 c 71 a 22 c 72 d 23 b 73 b 24 b 74 b 25 d 75 a 26 c 76 c 27 b 77 e 28 b 78 c 29 a 79 b 30 a 80 b 31 a 81 c 32 a 82 a 33 b 83 b 34 d 84 c 35 d 85 d 36 c 86 d 37 c 87 b 38 b 88 b 39 c 89 c 40 b 90 b 41 a 91 a 42 c 92 a 43 d 93 c 44 d 94 b 45 a 95 c 46 a 96 b 47 b 97 b 48 b 98 c 49 b 99 b 50 a 100 b
St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 14 LICENSURE EXAMINATION FOR TEACHERS (LET) Refresher Course Content Area: MATHEMATICS Focus: ANALYTIC GEOMETRY Prepared by: Daisy de Borja-Marcelino Competencies: 1. Solve problems involving coordinates of a point, midpoint of a line segment, and distance between two points. 2. Determine the equation of the line relative to given conditions: slope of a line given its graph, or its equation, or any two points on it. 3. Determine the equation of a non-vertical line given a point on it and the slope of a line, which is either parallel or perpendicular to it. 4. Solve problems involving a. the midpoint of a line segment, distance between two points, slopes of lines, distance between a point and a line, and segment division. b. a circle, parabola, ellipse, and hyperbola. 5. Determine the equations and graphs of a circle, parabola, ellipse and hyperbola. I. The Cartesian Plane Below is a diagram of a Cartesian plane or a rectangular coordinate system, or a coordinate plane. An ordered pair of real numbers, called the coordinates of a point, locates a point in the Cartesian plane. Each ordered pair corresponds to exactly one point in the Cartesian plane. The following are the points in the figure on the right: A(-6,3), B(-2,-3), C (4,-2), D(3,4), E(0,5), F(-3,0). For numbers 1-2, use the following condition: Two insects M and T are initially at a point A(-4, -7) on a Cartesian plane. 1. If M traveled 7 units to the right and 8 units downward, at what point is it now? Solution: (-4+7, -7-8) or (-3,-15) 2. If T traveled 5 units to the left and 11 units downward, at what point is it now? Solution: (-4-5, -7-11) or (-9, -18) II. The Straight Line A. Distance Between Two Points A. The distance between two points (x1,y1) and (x2,y2) is given by 2 2 1 2 2 1 ) ( ) ( y y x x    . Example: Given the points A(2,1) and B(5,4). Determine the length AB. Solution: AB =         18 9 9 3 9 4 1 5 2 2 2 2 2           or 2 9 or 2 3 . Exercises: For 1-2, use the following condition: Two insects L and O are initially at a point (-1,3) on a Cartesian plane. 1. If L traveled 5 units to the left and 4 units upward, at what point is it now? A) (-6, 7) B) (4, 7) C) (-6, -1) D) (4, -7) 2. If O traveled 6 units to the right and 2 units upward, at what point is it now? A) (7, 5) B) (5,5) C) (-7, 5) D) (-5, -5) The two axes separate the plane into four regions called quadrants. Points can lie in one of the four quadrants or on an axis. The points on the x-axis to the right of the origin correspond to positive numbers; while to the left of the origin correspond to negative numbers. The points on the y-axis above the origin correspond to positive numbers; while below the origin correspond to negative numbers.
St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 15 3. Two buses leave the same station at 9:00 p.m. One bus travels at the rate of 30 kph and the other travels at 40 kph. If they go on the same direction, how many km apart are the buses at 10:00 p.m.? A) 70 km B) 10 km C) 140 km D) 50 km 4. Two buses leave the same station at 8:00 a.m. One bus travels at the rate of 30 kph and the other travels at 40 kph. If they go on opposite direction, how many km apart are the buses at 9:00 a.m.? A) 70 km B) 10 km C) 140 km D) 50 km 5. Two buses leave the same station at 7:00 a.m. One bus travels north at the rate of 30 kph and the other travels east at 40 kph. How many km apart are the buses at 8:00 a.m.? A) 70 km B) 10 km C) 140 km D) 50 km 6. Which of the following is true about the quadrilateral with vertices A(0,0), B(-2,1), C(3,4) and D(5,3)? i) AD and BC are equal ii) BD and AC are equal iii) AB and CD are equal A) both i and iii B) ii only C) both ii and iii D) i, ii, and iii 7. What is the distance between (-5,-8) and (10,0)? A) 17 B) 13 C) 23 D) -0.5 B. Slope of a line a) The slope of the non-vertical line containing A(x1,y1) and B(x2,y2) is 2 1 2 1 x x y y m    or 1 2 1 2 x x y y m    . b) The slope of the line parallel to the x-axis is 0. c) The slope of the line parallel to the y-axis is undefined. d) The slope of the line that leans to the right is positive. e) The slope of the line that leans to the left is negative. C. The Equation of the line In general, a line has an equation of the form ax + by + c = 0 where a, b, c are real numbers and that a and b are not both zero. D. Different forms of the Equation of the line  General form: ax + by + c = 0.  Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.  Point slope form: ) ( 1 1 x x m y y    where (x1, y1) is any point on the line.  Two point form: ) ( 1 1 2 1 2 1 x x x x y y y y      where (x1, y1) and (x2, y2) are any two points on the line.  Intercept form: 1   b y a x where a is the x-intercept and b is the y-intercept. Reminders:  A line that leans to the right has positive slope. The steeper the line, the higher the slope is. p q r The slopes of lines p, q, r are all positive. Of the three slopes, the slope of line p is the lowest, the slope of r is the highest.  A line that leans to the left has negative slope. The steeper the line, the lower the slope is. t s u The slopes of lines t, s, u are all negative. Of the three slopes, t is the highest, while u has the lowest (because the values are negative.) Exercises
St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 16 1. What is the slope of 5 4 12 0 x y - + = ? A)1.25 B) -1.25 C) 0.8 D) -0.8 2. What is the slope of x = -9? A) 4 B) 1 C) 0 D) undefined 3. What is the slope of y= 12? A) 7 B) 1 C) 0 D) undefined 4. What is the slope of 1 4 9 x y + = ? A) 4 . 0 B) 2.25 C) - 4 . 0 D) - 2.25 E. Parallel and Perpendicular lines Given two non-vertical lines p and q so that p has slope m1 and q has slope m2.  If p and q are parallel, then m1 = m2.  If p and q are perpendicular to each other, then m1m2 = -1. F. Segment division Given segment AB with A(x1,y1) and B(x2,y2).  The midpoint M of segment AB is ) 2 , 2 ( 2 1 2 1 y y x x M   .  If a point P divides AB in the ratio 2 1 r r so that 2 1 r r PB AP  , then the coordinates of P(x,y) can be obtained using the formula 2 1 1 2 2 1 r r x r x r x    and 2 1 1 2 2 1 r r y r y r y    . G. Distance of a point from a line The distance of a point A(x1,y1) from the line Ax + By + C = 0 is given by 2 2 1 1 B A C By Ax d     . Exercises 1. Write an equation in standard form for the line passing through (–2,3) and (3,4). a. 5x – y = -13 b. x – 5y = 19 c. x – y = -5 d. x – 5y = –17 2. Write an equation in slope intercept form for the line with a slope of 3 and a y-intercept of 28. a. y = –3x + 28 b. y = 0.5x + 28 c. y = 3x + 28 d. y = 3x + 21 3. Write the equation in standard form for a line with slope of 3 and a y-intercept of 7. a. 3x – y = –7 b. 3x + y = 7 c. 3x + y = 7 d. –3x + y = –7 4. Which of the following best describes the graphs of 2x – 3y = 9 and 6x – 9y = 18? a. Parallel b. Perpendicular c. Coinciding d. Intersecting 5. Write the standard equation of the line parallel to the graph of x – 2y – 6 = 0 and passing through (0,1). a. x + 2y = –2 b. 2x – y = –2 c. x – 2y = –2 d. 2x + y = –2 6. Write the equation of the line perpendicular to the graph of x = 3 and passing through (4, –1). a. x – 4 = 0 b. y + 1 = 0 c. x + 1 = 0 d. y – 4 = 0 7. For what value of d will the graph of 6x + dy = 6 be perpendicular to the graph 2x – 6y = 12? a. 0.5 b. 2 c. 4 d. 5 III. Conic Section A conic section or simply conic, is defined as the graph of a second-degree equation in x and y. In terms of locus of points, a conic is defined as the path of a point, which moves so that its distance from a fixed point is in constant ratio to its distance from a fixed line. The fixed point is called the focus of the conic, the fixed line is called the directrix of the conic, and the constant ratio is called the eccentricity, usually denoted by e. If e < 1, the conic is an ellipse. (Note that a circle has e=0.) If e = 1, the conic is a parabola. If e > 1, the conic is hyperbola. A. The Circle 1. A circle is the set of all points on a plane that are equidistant from a fixed point on the plane. The fixed point is called the center, and the distance from the center to any point of the circle is called the radius.
St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 17 x y -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3 3.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2. Equation of a circle a) general form: x 2 + y 2 + Dx + Ey + F = 0 b) center-radius form: (x – h) 2 + (y – k) 2 = r 2 where the center is at (h,k) and the radius is equal to r. 3. Line tangent to a circle A line tangent to a circle touches the circle at exactly one point called the point of tangency. The tangent line is perpendicular to the radius of the circle, at the point of tangency. Exercises For items 1-2, use the illustration on the right. 1. Which of the following does NOT lie on the circle? a. (3,-1) b. (3,0) c. (2,-1) d. (3,-2) 2. What is the equation of the graph? a.   1 3 2    x y b.   1 3 ) 1 ( 2     x y c.   1 3 ) 1 ( 2     x y d.   1 3 ) 1 ( 2     x y B. The Parabola 1. Definition. A parabola is the set of all points on a plane that are equidistant from a fixed point and a fixed line of the plane. The fixed point is called the focus and the fixed line is the directrix. 2. Equation and Graph of a Parabola a) The equation of a parabola with vertex at the origin and focus at (a,0) is y 2 = 4ax. The parabola opens to the right if a > 0 and opens to the left if a < 0. b) The equation of a parabola with vertex at the origin and focus at (0,a) is x 2 = 4ay. The parabola opens upward if a > 0 and opens downward if a < 0. c) The equation of a parabola with vertex at (h , k) and focus at (h + a, k) is (y – k) 2 = 4a(x – h). The parabola opens to the right if a > 0 and opens to the left if a < 0. d) The equation of a parabola with vertex at (h , k) and focus at (h, k + a) is (x – h) 2 = 4a(y – k). e) The parabola opens upward if a > 0 and opens downward if a < 0. f) Standard form: (y – k) 2 = 4a(x – h) or (x – h) 2 = 4a(y – k) g) General form: y 2 + Dx + Ey + F = 0, or x 2 + Dx + Ey + F = 0 3. Parts of a Parabola a) The vertex is the point, midway between the focus and the directrix. b) The axis of the parabola is the line containing the focus and perpendicular to the directrix. The parabola is symmetric with respect to its axis. c) The latus rectum is the chord drawn through the focus and parallel to the directrix (and therefore perpendicular to the axis) of the parabola. d) In the parabola y 2 =4ax, the length of latus rectum is 4a, and the endpoints of the latus rectum are (a, -2a) and (a, 2a). In the figure at the right, the vertex of the parabola is the origin, the focus is F(a,o), the directrix is the line containing ' LL , the axis is the x-axis, the latus rectum is the line containing ' CC .
St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 18 The graph of y x 3 16 2   . The graph of (y-2) 2 = 8 (x-3). C. Ellipse 1. An ellipse is the set of all points P on a plane such that the sum of the distances of P from two fixed points F’ and F on the plane is constant. Each fixed point is called focus (plural: foci). 2. Equation of an Ellipse a) If the center is at the origin, the vertices are at ( a, 0), the foci are at ( c,0), the endpoints of the minor axis are at (0,  b) and 2 2 2 c a b   , then the equation is 1 2 2 2 2   b y a x . b) If the center is at the origin, the vertices are at (0,  a), the foci are at (0,  c), the endpoints of the minor axis are at ( b, 0) and 2 2 2 c a b   , then the equation is 1 2 2 2 2   a y b x . c) If the center is at (h, k), the distance between the vertices is 2a, the principal axis is horizontal and 2 2 2 c a b   , then the equation is 1 ) ( ) ( 2 2 2 2     b k y a h x . d) If the center is at (h, k), the distance between the vertices is 2a, the principal axis is vertical and 2 2 2 c a b   , then the equation is 1 ) ( ) ( 2 2 2 2     b h x a k y . 4. Parts of an Ellipse For the terms described below, refer to the ellipse shown with center at O, vertices at V’(-a,0) and V(a,0), foci at F’(-c,0) and F(c,0), endpoints of the minor axis at B’(0,-b) and B(0,b), endpoints of one latus rectum at G’ (-c, a b2  ) and G(-c, a b2 ) and the other at H’ (c, a b2  ) and G(c, a b2 ). a) The center of an ellipse is the midpoint of the segment joining the two foci. It is the intersection of the axes of the ellipse. In the figure above, point O is the center. b) The principal axis of the ellipse is the line containing the foci and intersecting the ellipse at its vertices. The major axis is a segment of the principal axis whose endpoints are the vertices of the ellipse. In the figure, V V' is the major axis and has length of 2a units. c) The minor axis is the perpendicular bisector of the major axis and whose endpoints are both on the ellipse. In the figure, B B' is the minor axis and has length 2b units. d) The latus rectum is the chord through a focus and perpendicular to the major axis. G G' and H H' are the latus rectum, each with a length of a b2 2 . x y O B(0,b ) B’(0,- b) F’(- c,0) F(c,0 ) V’(- a,0) V(a,0 ) ) , ( 2 a b c ) , ( 2 a b c  ) , ( 2 a b c  ) , ( 2 a b c   x y O (-4,0) (4,0) (5,0) ) 5 9 (4, (-5,0) ) 5 9 (4,- ) 5 9 (-4, ) 5 9 (-4,- (0, -3) (0, 3) x y O (12,1) (2,-4) (-8,1) (2,6) (-6,4) (2,1) (8,5) (8,3)
St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 19 The graph of 1 9 25 2 2   y x . The graph of 1 25 ) 1 ( 100 ) 2 ( 2 2     y x . 4. Kinds of Ellipses a) Horizontal ellipse. An ellipse is horizontal if its principal axis is horizontal. The graphs above are both horizontal ellipses. b) Vertical ellipse. An ellipse is vertical if its principal axis is vertical. D. The Hyperbola 1. A hyperbola is the set of points on a plane such that the difference of the distances of each point on the set from two fixed points on the plane is constant. Each of the fixed points is called focus. 2. Equation of a hyperbola a) If the center is at the origin, the vertices are at ( a, 0), the foci are at ( c,0), the endpoints of the minor axis are at (0,  b) and 2 2 2 a c b   , then the equation is 1 2 2 2 2   b y a x . b) If the center is at the origin, the vertices are at (0,  a), the foci are at (0,  c), the endpoints of the minor axis are at ( b, 0) and 2 2 2 a c b   , then the equation is 1 2 2 2 2   b x a y . c) If the center is at (h, k), the distance between the vertices is 2a, the principal axis is horizontal and 2 2 2 a c b   , then the equation is 1 ) ( ) ( 2 2 2 2     b k y a h x . d) If the center is at (h, k), the distance between the vertices is 2a, the principal axis is vertical and 2 2 2 a c b   , then the equation is 1 ) ( ) ( 2 2 2 2     b h x a k y 2. Parts of a hyperbola For the terms described below, refer to the hyperbola shown which has its center at O, vertices at V’(-a,0) and V(a,0), foci at F’(-c,0) and F(c,0) and endpoints of one latus rectum at G’ (-c, a b2  ) and G(-c, a b2 ) and the other at H’ (c, a b2  ) and H(c, a b2 ). a) The hyperbola consists of two separate parts called branches. b) The two fixed points are called foci. In the figure, the foci are at ( c,0). c) The line containing the two foci is called the principal axis. In the figure, the principal axis is the x-axis. d) The vertices of a hyperbola are the points of intersection of the hyperbola and the principal axis. In the figure, the vertices are at ( a,0). e) The segment whose endpoints are the vertices is called the transverse axis. In the figure V V' is the transverse axis. f) The line segment with endpoints (0,b) and (0,-b) where 2 2 2 a c b   is called the conjugate axis, and is a perpendicular bisector of the transverse axis. g) The intersection of the two axes is the center of the hyperbola .
St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 20 h) The chord through a focus and perpendicular to the transverse axis is called a latus rectum. In the figure, G G' is a latus rectum whose endpoints are G’ (-c, a b2  ) and G(-c, a b2 ) and has a length of a b2 2 . 3. The Asymptotes of a Hyperbola Shown in the figure on the right is a hyperbola with two lines as extended diagonals of the rectangle shown. These two diagonal lines are said to be the asymptotes of the curve, and are helpful in sketching the graph of a hyperbola. The equations of the asymptotes associated with 1 2 2 2 2   b y a x are x a b y  and x a b y   . Similarly, the equations of the asymptotes associated with 1 2 2 2 2   b x a y are x b a y  and x b a y   . The graph of 1 27 9 2 2   y x . The graph of 1 27 9 2 2   x y . PRACTICE EXERCISES Directions: Choose the best answer from the choices given and write the corresponding letter of your choice. For items 1-5, use the illustration on the right. 1. Which of the following are the coordinates of A? a. (1,2) b. (2,1) c. (-3,3) d. (2,-3) 2. What is the distance between points M and T? a. 61 units b. 6 sq. units c. 51 units d. 8 units 3. Which of the following points has the coordinates (-3,-1) a. M b. A c. T d. H 4. Which of the following is the area of the triangle formed with vertices M, A and H? a. 5 sq. units b. 10 sq. units c. 5 units d. 10 units 5. Which of the following is the equation of the line containing points A and T? a. y= 2 b. x=2 c. y+2x=3 d. y-2x+3=0 6. Suppose that an isosceles trapezoid is placed on the Cartesian plane as shown On the right, which of the following should be the coordinates of vertex V? a. (a,b) b. (b+a, 0) c. (b-a,b)d. (b+a,b) 7. The points (-11,3), (3,8) and (-8,-2) are vertices of what triangle? a. Isosceles b. Scalene c. Equilateral d. Right 8. What is the area of the triangle in #7? a. 40.5 sq units b. 41.8 sq units c. 42 sq units d. 46.8 sq units 9. Which of the following sets of points lie on a straight line? a. (2,3), (-4,7), (5,8) b. (-2,1), (3,2), (6,3) c. (-1,-4), (2,5), (7,-2) d. (4,1), (5,-2), (6,-5) 10. If the point (9,2) divides the segment of the line from P1(6,8) to P2(x2,y2) in the ratio r = 7 3 , give the coordinates of P2. x y F’(-6,0) O (-3,0) (3,0) F(6,0) (6,9) (6,-9) x y F’(0,-6) O (0,3) F(0,6) (0,-3) (-9,6) (9,6) 0 3   x y 0 3   x y x 1 2 3 1 2 3 -3 -2 -1 -3 -2 -1 M A T H y x D(a,0) E(b,0) O(0,b) V 0 0
St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 21 x y -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3 3.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 x y -30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30 -15 -10 -5 0 5 10 15 x y -30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30 -15 -10 -5 0 5 10 15 x y -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3 3.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 a. (16,–12) b. (–16, 15) c. (14,15) d. (12,–12) 11. Give the fourth vertex, at the third quadrant, of the parallelogram whose three vertices are (-1,-5), (2,1) and (1,5). a. (-3,-2) c. (-3,-4) c. (-4,-1) d. (-2,-1) 12. The line segment joining A(-2,-1) and B(3,3) is extended to C. If BC = 3AB, give the coordinates of C. a. (17,12) b. (15,17) c. (18,15) d. (12,18) 13. The line L2 makes an angle of 60 0 with the L1. If the slope of L1 is 1, give the slope of L2. a. (3 + 2 0.5 ) b. (2 + 2 0.5 ) c. –(2 + 3 0.5 ) d. –(3 + 3 0.5 ) 14. The angle from the line through (-4,5) and (3,m) to the line (-2,4) and (9,1) is 135 0 . Give the value of m. a.7 b. 8 c. 9 d. 10 15. Which equation represents a line perpendicular to the graph of 2x + y = 2? a. y = -0.5x – 2 b. y = –2x + 2 c. y = 2x – 2 d. y = 0.5x + 2 16. Which of the following is the y – intercept of the graph 2x – 2y + 8 = 0? a. -4 b. -2 c. 2 d. 4 17. Which of the following may be a graph of x – y = a where a is a positive real number? a. b. c. d. 18. Write an equation in standard form for a line with a slope of –1 passing through (2,1). a. x + y = –3 b. –x + y = 3 c. x + y = 3 d. x – y = –3 b. For items 19-22, use the illustration on the right. 19. Which of the following are the coordinates of A? a. (1,1) b. (1,-1) c. (-1,1) d. (-1,-1) 20. What is the distance between points A and H? a. 61 units b. 6 sq. units c. 51 units d. 8 units 21. Which of the following points has the coordinates (-2,-2)? a. M b. A c. T d. H 22. Which of the following is the equation of the given graph? a.   2 2   x y . b.   2 2    x y . c.   2 2   x y . d.   2 2    x y . 23. Which of the following is the equation of the line containing points M and T? a. y= 2 b. x=2 c. y-2x-2=0 d. y+2x+2=0 24. What is the shortest distance of y x 8 2  from 3  x ? a. 1 unit b. 2 units c. 3 units d. 8 units 25. Which of the following is a focus of 1 4 12 2 2   x y ? a. (0,-4) b. (-4,0) c. (0,4) d. (4,0) 26. What are the x-intercepts of 1 9 4 2 2   y x ? a. none b. 2  c. 3  d. 4  27. Which of the following is a graph of a hyperbola? a. b. c. d. 28. Which of the following is an equation of an ellipse that has 10 as length of the major axis and has foci which are 4 units away from the center? x y -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3 3.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 y y y y x x x x A H M T
St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 22 x y -30 -20 -10 0 10 20 30 -10 0 10 x y -30 -20 -10 0 10 20 30 -10 0 10 a. 1 9 25 2 2   x y b. 1 16 9 2 2   x y c. 1 3 5 2 2   x y d. 1 25 16 2 2   x y For items 29-31, consider the graph on the right. 29. Which of the following is the equation of the graph? a. 2500 25 100 2 2   x y b. 2500 25 100 2 2   y x c. 2500 25 100 2 2   x y d. 2500 25 100 2 2   y x 30. What are the x-intercepts of the graph? a. none b. 2  c. 5  d. 10  31. What kind of figure is shown on the graph? a. circle b. ellipse c. hyperbola d. Parabola 32. Which of the following is the center of the graph shown on the right? a. (0,0) b. (0,10) c. (10,0) c. (0,-10) 33. Which of the following is a focus of the graph shown on the right? a. (0,0) b. (0,10) c. (0,5) c. (0,-10) 34. What is the area of the shaded region? a. 4 units b. 4 square units c. 16 units d. 16 square units LICENSURE EXAMINATION FOR TEACHERS (LET)
St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 23 Refresher Course Content Area: MATHEMATICS Focus: ADVANCED ALGEBRA Prepared by: Daisy de Borja-Marcelino Competencies: Show mastery of the basic terms, concepts and equations in Advanced Algebra involving radicals, rational exponents and functions. Solve, evaluate and manipulate symbolic and numerical problems in above areas by applying fundamental principles and processes. KEY IDEAS Some Helpful Tips in Answering the LET 1 Read the question/s or the items carefully and understand what they say. 2 Determine what is/are wanted or what is/are asked for. 3 Find out what is/are given and which data are needed to solve the problem. 4 Reason out what processes (operations) to apply and the order in which they are to be applied. 5 Summarize the problem by means of an open number sentence. 6 Compute carefully. Check each step in the computations. 7 Decide the reasonableness of the result. 8 Check the result by seeing to it that the result satisfies all the conditions of the problem. RATIONAL EXPONENTS If a is a real number and n is any positive integer, the symbol n a denotes the n th power of a. The real number a is called the base and n is called the exponent. In symbols, a a a a an      ... . n factors Examples: a)      4 3 3 3 3 3  or 81. b)      . 2 2 2 2 3 m m m m      c) . 2 1 2 1 2 1 2 1 2 1 4            d)      . 3 . 1 3 . 1 3 . 1 2  e)      math math math  2 . e)      . 2 2 2 m m m  Note that any base raised to the power of 1, is just the base. Moreover, any base raised to the power of 0 is 1, while 0 0 is indeterminate. Examples: a) . 1 90  b) . 4 41  c) (-m) 1 = - m. d) z 0 = 1. e)   1 0 3 2  e op h . f)   1 23 . 38 0   . g)   5 3 2 1 5 3 2 y o j y o j  . h) a a m   4 1 4 1 1 0 . Laws of Exponents If a and b are real numbers and m and n are positive real numbers, then the following are true. n m n m a a a   .   nm m n a a  . If n m  and 0  a , then n m n m a a a   .   n n n b a ab  . If m n  and 0  a , then m n n m a a a   1 . If 0  b , then n n n b a b a        . If 0  a , then 1 0   a a a n n . Examples: a)   . 4 4 6 3 2  b)    . 32 2 2 2 2 5 2 3 2 3     c) (3 x 4 ) 2 = 3 2 x 4 2 . d) . 1 3 3 2 2  e) . 27 3 3 3 3 3 2 5 2 5     f). . 27 1 3 1 3 3 3 3 3 3 5 2 5 2       Exercises 1. In the expression 8m 5 , 5 is called the ________. A. base B. coefficient C. constant D. exponent 2. Evaluate      0 10 8 6 0 14 3 9 0 2 0 10 20 5 25      m n s s n m m m . A. 5 B. 23m 12 n 4 s -2 C. 20 2  m D. undefined
St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 24 3. Anthony wrote  4 1 4 3 b a  = ( )4 1 3a +  4 1 4b . Which of the following is his misconception? A. It is possible to factor out the exponent. B. It is possible to distribute exponents over a sum. C. The exponents should be multiplied with the base. D. The coefficient inside the parentheses should be added. 4. Is 2 3 4 3 5         s r equal to ? 9 25 5 6 s r Why or why not? A. Yes, for the exponents inside the parenthesis and the numerical coefficients should be added to 2. B. No, for the exponents inside the parenthesis and the numerical coefficients should be subtracted from 2. C. Yes, for the exponents inside the parenthesis should be added and the numerical coefficients should be raised to 2. D. No, for the exponent inside the parenthesis should be multiplied by 2 and the numerical coefficients should be raised to 2. 5. Explain why 3 12 x x is not equal to x 4 ? A. Because the exponents should be added. B. Because the exponents should be multiplied. C. Because the numerator should be divided by the denominator. D. Because the exponent of the numerator should be subtracted by the exponent of the denominator. 6. Which of the following is the product of x 5 y 3 z and x 2 y 4 z 2 ? A. 2x 10 2y 12 2z 2 B. x 10 y 12 z 2 C. 2x 7 2y 7 2z 3 D. x 7 y 7 z 3 7. Give the product of a 5 and . 11 2 5 3 a a a   A. 2 5 4 55 10 5 a a a   C. a a a 55 10 5 6 3   B. 2 6 4 55 10 5 a a a   D. a a a 55 10 5 5 3   8. Marlon claims that    5 3 2 2 is equal to 8 2 . Is he correct? Why or why not? A. Yes, for the exponents inside the parenthesis and the numerical coefficients should be added to 5. B. No, for the exponents inside the parenthesis should be multiplied by 2 and the numerical coefficients should be raised to 5. C. No, for the exponents should be multiplied. D. Yes, for the exponents should be added. The mentioned laws of exponents also hold when m and n are positive rational numbers. Examples: The following are true if there is no zero denominator. a) 3 3 3 3 3 1 2 1 2 1 2 1 2 1                     . b) 3 7 3 5 3 2 3 5 3 2 m m m m                    . c) 3 1 3 1 3 2 3 1 3 2 5 5 5 5    . d) 7 2 7 3 7 5 7 3 7 5 p p p p    . e)         1 0 3 2 3 2 3 2 3 2     e e e e . f)   12 8 4 4 3 4 2 4 1 4 3 2 3 3 3 y x y x y x      . g)    5 2 5 2 5 2 xy art xy art          . h)          2 3 4 6 4 5 4 11 4 11 4 5 1 1 1 y y y y y y x x x x x     . Negative Exponents If a is a nonzero real number and n is any rational number, then a -n = n a 1 . To simplify algebraic expressions with negative exponents is just to express the given expression into an equivalent quantity where the exponents become positive. Examples: Simplify the following such that they only have positive exponents. a) 2 1 3  b) 4 3 7  c)   4 1 2  m Solution: a) . 3 1 3 2 1 2 1   b) . 7 1 7 4 3 4 3   c)     . 2 1 2 4 1 4 1 m m   Examples: Simplify the following such that they only have positive exponents. Assume nonzero bases and no denominator is zero. a) 4 2 4 16   b) 3 4   m m c) 2  a a d) 3 3   t t
St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 25 e) 3 2 3 4 3 4 2 4 16        t a m at m f) 3 1 3 4    h g g m g)  2 1 3 5     h)   2 2   x Solution: a) 4 2 4 16   =      4 2 2 4 4 1 4 4 4 4    . b) 3 4   m m =   m m m m 1 1 3 4 3 4          . c) 2  a a =   3 2 1 2 1 a a a      d) 3 3   t t = 1. e) 3 2 3 4 3 4 2 4 16        t a m at m = . 4 4 16 4 3 3 4 4 3 3 3 4 3 4 2 3 2 3 4 m a t m t a m t m t aa m   f) 3 1 3 4    h g g m =   3 1 3 4 3 1 3 4 1 1 1 h g m h g g m           =   4 3 4 4 3 1 3 m h g m h g    . g)  2 1 3 5     = 2 3 2 5 2 3 2 5 ) 2 1 )( 3 ( ) 2 1 )( 5 (             . h)   2 2   x =  2 2 1  x or    2 2 1   x x or 4 4 1 2   x x . Note that    2 2 1   x x is equal to     2 1 x   2 1  x but 4 4 1 2   x x is not equal to 4 1 4 1 1 2   x x . Whenever the exponent of a base is in rational form b a where b 0, the expression can always be expressed in radical form. RADICALS If n is a positive integer and a is a real number for which n a 1 is defined, then the expression n a is called a radical, and n a = n a 1 . The symbol is a radical sign, the number a is the radicand and n is the index of the radical n a . Examples: a) In the expression 3 5 , the number 3 is called the index and 5 is the radicand. b) The expression 4 1 27 can be written as 4 27 . When a radical notation has no index, it is understood that n=2 or we are going to extract the square roots of the radicand. Examples: a) . 49 49 2  b) . 3 3 3 2 2 1   Simplified radicals An expression with radicals is simplified when all of the following conditions are satisfied. Exponents of the radicand and index of the radical have no common factor except 1. The radicand has no factor raised to a power greater than or equal to the index. All indicated operations have been performed (if possible). No denominator contains a radical. The radicand has no fractions. Radical notation of n m a If a is a real number, m is an integer and n a is a real number, then n m a =  m n a = n m a . Examples: Write each exponential expression using radical notation. a) 3 1 a b) 4 3  m c) 2 3 5 Solution: a) 3 1 a = 3 a . b) 4 3  m = 3 4 ) (  m . c) 2 3 5 = 2 3 5 =  3 2 5 or 3 5 . Examples: Write each radical expression using exponential notation and simplify. a) 22 b) 3 27  c) 3 6 x
St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 26 Solution: a) 22 = 2 1 22 . b) 3 27  = 3 1 ) 27 ( =   3 3 3 1 3    . c) 3 6 x = 3 6 x = 2 x . If n is an even positive integer, then a a n n = = a  and if n is an odd positive integer then a a n n = . Examples: Simplify each of the following and give all the roots. a) 625 b) 4 81 c) 6 169x d) 3 9 6 27 y x Solution: a) 25 25 625 2    . b) 4 81= 4 4 3 =  3. c) 6 169x =  2 3 2 13 x =  13x 3 . d) 3 9 6 27 y x =     3 3 3 3 2 3 3 y x =3x 2 y 3 . For all real numbers a and b, and positive integers m and n for which the indicated roots are real numbers, the following are true. ( )( ) n n n ab b a = . mn m n a a  . n n n b a b a  where b is not equal to zero. Examples: The following are true. a) . 15 5 3   b) 8 4 2 4 81 81 81 x x x    . c)   6 12 x   12 3 x  . Examples: Simplify each of the following. a) 3 125 8  b) 4 5 243 32y Solution: a)   . 5 2 5 2 5 ) 2 ( 5 8 125 8 3 3 3 3 3 3          b) 4 5 243 32y =     4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 3 2 2 3 81 2 16 y y y y y y         =          4 3 2 3 2 y y =   3 54 2 4 y y  . Operations on Radical Expressions Addition and Subtraction Radicals with the same radicand and the same index are called like radicals. Like radicals are added or subtracted by using the distributive property of real numbers. Moreover, only like radicals can be combined. Examples: a) Give the sum of 3 7 , 3 3 7 , 2 3 7 and 4 3 7 . b) Evaluate 10 15 +3 15 - 15 . c) If the lengths of the sides of a triangle is 24 cm, 6 2 cm and 4cm, give its perimeter. Solution: a) 3 7 +3 3 7 +2 3 7 + 4 3 7 =10 3 7 . b) 10 15 +3 15 - 15 = 12 15 . c) Given a triangle, its perimeter is determined by adding the lengths of its sides. Hence, 24 cm + 6 2 + 4cm = 6 4 cm + 6 2 cm + 4cm = 6 2 cm + 6 2 cm+ 4cm = 6 4 cm + 4cm. Multiplication of Radicals Note that n ab = n a  n b allows multiplication of radicals with the same index. Examples: Give the product of the following in simplest form. Take only the positive roots. a) 8 6   10 9 b)   ) 3 ( 2 3 2 3 3 2 m m m  c) 7 3 ( + ) 8 7 3 ( - ) 8 Solution: a) 8 6   10 9 =      5 216 5 4 54 5 16 54 80 54 10 8 9 6           .
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04- st louis-reviewer_2

  • 1. St. Louis Review Center, Inc. Eneelsus Bldg. Gen. Luna St., Davao City Tel. no. (082) 224-2515 or 222-8732 ED-TECH POST – TEST 1. Which of the following statements is correct about the domains of educational technology? A. Design is the production stage while development is the planning stage. B. Both the design and development are the planning stage, C. Evaluation is synonymous with implementation. D. Utilization is the action phase. 2. Ms. Cruz was hired in a well-equipped school but she has to start preparing her instructional materials before classes begin. Which of the following is a systematic process in preparing her materials? A. design – utilization – evaluation - development B. design – development – utilization – evaluation C. development – design – utilization – evaluation D. development – utilization – evaluation – design 3. Ms. Briones is planning to integrate technology in her Mathematics class. Which of the following would be her second step? A. set the objectives B. analyze the learners C. utilize the materials with showmanship D. evaluate the performance of the students 4. Which of the following should Ms. Gomez primarily consider in determining her teaching and learning objectives and use of instructional media? A. the learner C. the instructional activity B. the teacher D. the instructional strategy 5. Which is the best reason why teachers state the objectives before using instructional media? A. To be able to practice how to operate the equipment. B. To determine which media to use best. C. To prepare the materials beforehand. D. To secure available materials. 6. Ms. Villegas is thinking of an educational technology that can relay information clearly to her class. Which principle will guide her in the selection of the material? A. interest C. cost effectiveness B. meaningfulness D. communication effectiveness 7. Mrs. Zinampan presented real samples of rocks when she discussed the different forms of rocks. What principle in the selection of instructional material did she apply? A. interest C. cost effective B. B authenticity D. responsiveness 8. Which of the following is a limitation of conventional technologies in teaching and learning? A. They pose problems on storage.. B. They are less abstract and more concrete. C. They are readily available in the environment, around school, and in the home. D. They provide hands-on learning experiences and emphasize real-world E. applications 9. which of the following is not a contribution of technology to the learning process? . A. The quality of learning can be improved B. The delivery of instructions can be more interesting C. The role of the teacher can be changed into a demonstrator. D. The method of teaching and learning becomes more interactive 10. In what way can instructional aids foster learning? A. Reinforce learning B. Entertain students C. Take the place of the teacher D. Holds students in the classroom 11. With the pervasiveness of technologies nowadays, a learner-centered instruction can be promoted. Which of the following statements support this approach to teaching? I. It focuses on transformation of facts. II. It supports the use of lecture and drill methods. III. It gives emphasis on collaboration and authentic assessment. IV. Students work on tasks determined and controlled by the teacher. A. I and II only C. II and IV only B. I and III only D. III and IV only 12. Prof. Villamin’s students use cooperative learning, inquiry based and project-based learning approaches in creating their digital unit plans. What can be developed among the learners through these approaches? A. repetition and active learning B. repetition & information delivery C. information processing and active learning D. construction of knowledge and information exchange 13. Which of these technologies are arranged from the most symbolic to multisensory? A. real objects, print, audio-visual materials, and visual materials B. visual materials, audio visual materials, print and computers C. visual materials, print, audio-visual materials and realia D. print, audio, visual materials, and computers 14. Which group of technologies has the highest degree of abstraction? A. book, imaginative literature, programmed instruction B. digital video, film, versatile compact disc C. video, pictures and television D. realia and computer 15. Mrs. Soriano, a Grade V teacher prefers to use textbooks than other instructional materials. What could be her reason for using it? A. Textbooks can be easily duplicated. B. Textbooks quickly become updated. C. Textbooks address the needs of diverse students. D. Textbooks contain most of the materials they need to learn in the course. 16. It is impractical to bring real objects to the classroom so Ms. Simangan constructed a threedimensional visual instead. Which of the following did she construct? A. cartoon C. graphic B. chart D. model 17. If a teacher wants to teach her pupils the skill to organize and integrate related concepts, which of the following is the most appropriate graphic organizer to use? A. timeline C. venn diagram B. fishbone D. semantic webbing 18. Which graphic organizer is used to show how a series of events interact to produce a set of results again and again? A. Series of events chart C. cycle B. Web D. timeline 19. Which instructional aid requires pupils to verbalize? A. graphic C. . model B. diorama D. . video 20. Which of the following is inappropriate in using printed visuals such as charts, graphs, and drawings? A. Provide written or verbal cues to highlight important aspects of visuals. B. Allow the students to pass the materials from one person to another. C. Use materials that everyone can see. D. Present the material one at time. 21. Under what category will a globe as an instructional material fall? A. Realia C. solid model B. mock up D. cutaway model
  • 2. 22. Prof. Agustin would like to provide hands-on experience on the expansion and contraction of matter. Which of the following materials would be the best to use? A. models C. realias B. pictures D. slides 23. Ms. Sarah finds the chalkboard an effective instructional material up to present. However, just like any other materials, it also has its limitations. Which one is it? A. It allows spontaneity, speed and change. B. Absent students cannot keep up with their assignments. C. It is valuable for emphasizing the major points of the lesson. D. It can be used for displaying pictures and important clippings. 24. With which learning style group are manipulatives MOST effective? A. Master style group B. Interpersonal style group C. Understanding style group D. Self- expressive style group 25. Which does a pupil use when s/he sings a concept to a familiar tune in order to help himself commit the concept to memory? A. rap C. pop B. jingle D. lullaby 26. Prof. Arcilla would like to use audiocassette tape in teaching a lesson in English. In which activity is audiocassette tape very effective in the teaching-learning process? A. in developing listening skills B. in teaching creative writing C. in composing poems D. in building concepts 27. Romalyn is going to discuss about The ADDIE Model to a big class. She is planning to use a technology by which parts of her presentation could be partly hidden to make it more exciting and interesting. What do you think shall she use? A. model C. transparency B. realia D. video 28. Marife wants to make a presentation material wherein more additional transparent sheets with information can be placed over a base transparency. Which one should she make? A. cut-out C. silhouette B. puppet D. overlay 29. Which one is used with 2D and 3D materials? A. Opaque projector C. digital projector B. overhead projector D. slide projector 30. After watching the film, “Muro Ami’, the students of Mrs. Tamaray are expected to show a demonstrative proof of what they have learned. How is the technology used in thissituation? A. entertainment C. instructional B. informational D. entertainment and informational 31. Self made charts and illustrations serve as universal aid for bringing fascinating and exciting experiences in the classroom. To tap the optimum potentials of these materials, which of the following should be avoided? A. Giving due consideration to lettering. B. Presenting materials with accurate facts. C. Giving more importance to austerity over legibility. D. Focusing on the main idea of the lesson presented. 32. Kamyl used overhead transparencies when she presented her assigned topic to class. What type of educational technology are transparencies? A. printed material C. projected material B. graphic material D. non-projected material 33. Which instructional material/s is/are MOST fit in contextualized learning? A. TV C. pictures B. Slides D. field trip 34. Ms. Villanueva wants to teach the students the performance of a certain skill such as dancing. Which technology would be the most appropriate and convenient to use? A. film C. television B. video D. printed material 35. Slides are miniature transparencies. They can be created with simple cameras and simple equipment. They display color in a realistic manner. However, they also have some limitations. Which one is it? A. They can be easily updated and revised. B. They can be adapted to group or to individual use. C. They can get out of sequence if handled individually. D. They can be combined with taped narration for greater effectiveness. 36. Mrs. Santos used a film clip in teaching science concepts to her Grade Six class. However, she found out that it was inefficiently used in the classroom. When is a technology considered inefficient? A. When it makes viewing more interesting. B. When it increases the time to master the lesson. C. When it helps attain the objectives of the lesson. D. When it enhances understanding of new lesson. 37. Prof. Manantan’s lesson in EPP is about “Pagtatanim ng halaman” to her students. How can she make her lesson more interesting and meaningful? A. Have a viewing activity about the lesson. B. Have them read their EPP book. C. Give them a collaborative work. D. Let them listen to a gardener. 38. Prof. Delos Santos would like her students to give more accurate observations about plants in the environment. Which technique would help her attain her objective? A. Bring them to the garden. B. Bring actual plants to class. C. Show colorful pictures to the class. D. Let the class read books about the topic. 39. Which of the following should be avoided in presenting visuals? A. Show visuals with an element of suspense. B. Shut off the overhead projector when explaining lengthily. C. Present all the materials simultaneously to hold the learners’ interest. D. Erase any writing on the chalkboard or whiteboard when you no longer need it. 40. After listing down the advantages and disadvantages of computers, Mrs. Muñoz decided to purchase a computer for her class. Which do you think is the last consideration in purchasing the equipment? A. Computers can make her more efficient. B. Computers can be a form of entertainment. C. Computers can enhance teaching and learning. D. Computers can be used for interactive presentations. 41. Marnel prepares his school research works using computer to submit his requirements on time. Does the computer make him productive and efficient? Why? I. Yes, because it can generate its own data. II. Yes, because it can make one’s work easier. III. Yes, because it can perform tasks fast and accurately. A. I and II C. II and III B. I and III D. I, II and III 42. Prof. Aguinaldo would like to integrate technology in writing a friendly letter. How can he do it effectively? A. Let the pupils surf a friendly letter from the Internet. B. Have the pupils write a friendly letter and send it through an email. C. Have the pupils forward a downloaded friendly letter to others via email. D. Let the pupils write a friendly letter using word processing and have it critiqued by E. their peers. 43. Which of the following is known for its strength of giving immediate feedback? A. video C. digital encyclopedia B. story book D. computer-assisted instruction
  • 3. 44. Which of the following computer-based instructional material can be used to learn new concepts? A. games C. simulation B. tutorial D. drill and practice 45. 45. Prof. Natividad would like to create a presentation material for his lesson on the types of computer-assisted Instruction. Which tool should he use? A. communicative tool C. productivity tool B. Informative tool D. situating tool 46. Prof. De Guzman uses an online learning approach by which content provides links to information at other locations and serves as a focal point for a distance education experience. Which of the following does he use? A. computer-aided instruction B. web-based instruction C. self-paced program D. teleconferencing 47. Mr. Villena searches for related literature by accessing several databases in the library computer that is connected with other computers that have databases. How is this termed? A. CD ROM search C. mechanical search B. computer search D. online search 48. Which pair of tools provide synchronous communication? A. chatroom and email B. email and bulletin board C. video conferencing and blogs D. instant messaging and chatroom 49. Should Mrs. Reyes allow her pupils to surf the Internet in creating a group newsletter during her English class? Why? A. No, because pupils may just be exchanging messages via email. B. No, because the pupils might open undesirable websites. C. Yes, to allow the pupils to chat with their friends. D. Yes, as long as it is used effectively. 50. Which of the following should you ask yourself in evaluating the content of an instructional material? A. Do the materials reinforce learning effectively? B. Are the materials of high technical quality? C. Does the content match the curriculum? D. Is it appropriate for the students? 51. Which of the following statements does NOT describe educational technology? i. It includes hardware and software. ii. It refers to the efficiency of teachers in using computers iii. It is the development, application, and evaluation of systems, techniques and aids to improve human learning. A. i only C. Both ii and iii B. ii only D. Both i and iii 52. What should Mr. Asuncion determine first in the selection of media in teaching? A. needs of the students C. technique to be used B. availability of the media D. objectives of the lesson 53. Which is the most important reason why teachers preview materials to be used in class? A. To gain confidence in using them. B. To encourage viewers to be more focused. C. To avoid potential problems that might occur while materials are in use. D. To ensure appropriateness of the materials with the objectives and target audience. 54. After Ms. Raca planned her lesson in English, she found out that the materials at hand do not match her objectives. Which is the best thing that she can do? A. Modify the available materials. B. Teach the lesson the following day. C. Change the objectives to match with the available materials. D. Carry out the lesson as planned and use the materials at hand. 55. Prof. Balagtas used worksheets, manipulatives and models in teaching math to help her students understand the lesson and love the subject. What did she bear in mind when she used these materials? A. appropriateness C. breadth B. balance D. variety 56. Ms. Torres always makes sure that text, animation and color do not confuse students in her presentation materials. Which principle is applied? A. simplicity C. responsiveness B. variety D. cost effectiveness 57. Mrs. Reyes, a librarian, informed the students as well as the teachers that several software are available for classroom instruction and individual learning. Which material is she referring to? A. Computers C. Television set B. CD-ROM D. VCD and DVD players 58. Susan’s mother tongue is a vernacular. Which of the following materials would be the most efficient and effective material to learn a second language? A. interactive multimedia B. pictures and print materials C. audio compact discs and radio D. printed materials and real objects 59. Computer can be a good tool for individualized instruction. Which of the following aspects can be a deterrent for its full utilization in the classrooms? A. economic C. social B. physical D. technical 60. With the increasing use of educational technology inside the classroom, what roles are expected of the teacher? A. facilitator C. knowledge giver B. demonstrator D. source of information 61. Which of the following technologies are properly classified? A. computers, compact discs, film, television B. imaginative literature, book, programmed instruction C. versatile compact disc, printed material, diagram, sketches D. digital video, phonograph, compact discs, radio, audio tape 62. Which of the following technologies are arranged from the most concrete to the most abstract? A. motion pictures, verbal symbols, visual symbols, radio, realias B. realias, visual symbols, television, motion pictures, still pictures C. realias, motion pictures, still pictures, visual symbols, verbal symbols D. verbal symbols, still pictures, visual symbols, models, motion pictures 63. Which is the best way to present instructional materials? A. concrete ->semi-concrete-> abstract->semi-abstract B. semi-concrete-> concrete -> abstract-> semi-abstract C. abstract->semi-abstract-> semi-concrete-> concrete D. concrete ->semi-concrete-> semi-abstract -> abstract 64. Which of the following technologies provide iconic experiences? A. videos and computer B. books and periodicals C. audio and audio materials D. printed and verbal symbols 65. How can Prof. Ubiña best promote the use of multimedia in teaching Science to her coteachers? A. Sell multimedia at low cost. B. Demonstrate its use to them. C. Explain the literature supporting its use. D. Convince the principal to require the use of technology.
  • 4. 66. There are countless things in the environment that you and your students can use to learn from such as trees, globes, pebbles, blocks etc. These real objects and models are really effective if they are utilized properly. Which of the following is incorrect about the use of real objects and models? A. Familiarize yourself with the object or model. B. Allow passing of a single object around the class. C. Make sure that objects/models are large enough to be seen by the whole class. D. Encourage students’ participation through questioning and having students E. decide the next step. 67. Aaron constructed a three dimensional material to simulate the circulation of blood. Which of the following did he construct? A. A solid model C. mock-up model B. cutaway model D. cross-sectional model 68. Which is a two-dimensional representation of the earth’s geographic and/or political features? A. globe C. mock-up B. map D. model 69. You asked your students to illustrate what they have understood from what they have read. Which of the following non-projected visuals are you referring to? A. printed visuals C. models B. graphics D. realias 70. Which software should Dr. Balagtas to manipulate numerical data in the computer? A. Spreadsheet C. word processing B. desktop publishing D. multimedia 71. Prof. Silva uses projected visuals such as OHP in presenting her lesson. What could be her main reason in using such an educational technology? A. The materials are readily available. B. Most visuals can be obtained at no cost. C. It is more abstract than any other visuals. D. She can easily prepare her own transparencies in advance. 72. Ms. Pacheco showed a segment of matter in “sine skwela” to her pupils without a follow-up activity. Thus, the pupils got low in the test. What does this imply? A. TV makes viewing enjoyable. B. TV promotes mastery of the lesson. C. TV induces alienation on the part of the learners. D. TV is effective when learners attain the lesson objectives. 73. Which activity is closest to the real thing? A. hear C. watch a demonstration B. view images D. perform in a presentation 74. Your department would like to purchase a computer set as your project. Which of the following advantages of computer will be your last consideration in purchasing it? A. It can enhance the teaching and learning process. B. It can be used for interactive presentation. C. It can be used for research activity D. It can be used for entertainment. 75. Prof. Orencia will have a digitized presentation to pre- service teachers. Which of the following will make her presentation appealing and effective? A. Observe maximum use of animations and graphics together. B. Apply as many computer effects per slide as possible. C. Reinforce textual information with graphic organizers. D. Use as many color as possible. 76. Why are computers increasingly becoming pervasive in schools nowadays? A. Schools advocate the use of computers. B. They increase efficiency and productivity. C. Anybody can operate computers without formal training. D. Students have access to computers in school and at home. 77. There are several reasons why teachers are reluctant in using electronic media in the teaching-learning process. Which is the most common reason? A. The difficulty in integrating them in the curriculum. B. The limited exposure of teachers to new equipment. C. Their incompatibility to diverse needs of the learners. D. The excessive availability of local technology in the community. 78. With the number of senses to be stimulated as criterion, which one should be first in thelist? A. multi sensory aid C. visual aid B. audio-visual aid D. audio aid 79. Which of the following is considered in terms of technical quality of a material? A. stereotyping C. color and size of text B. vocabulary level D. students’ achievement 80. Which statement is true about the opaque projector and overhead projector? A. An opaque projector allows more flexibility than an overhead projector. B. An overhead projector allows more flexibility than an opaque projector. C. Opaque and overhead projectors can instantaneously project 3D visuals well. D. The series of still visuals in an opaque projector are arranged in a fixed pattern but not in an overhead projector. 81. A grade II teacher wanted to show the parts of a seed by using a large, wooden seed visual aid with detachable cotyledons and tiny seed. Under what classification does wooden structure fall? A. assembly model C. realia B. cutaway model D. solid model 82. Which term refers to a model which is constructed so as to emphasize a particular part or function? A. audio recording C. mock-up B. simulation D, realia 83. Which is the best use of computers to students like you? A. They are used for chatting and surfing the net. B. They are used for research and collaboration. C. They are used for playing online games. D. They are used for watching movies. 84. Which statement makes technology ineffective in student learning? A. It develops higher thinking skills. B. It prepares students for the workforce. C. It enhances students’ collaborative skills. D. It decreases achievement in content learning. 85. You plan to use instructional materials to a big class-size. Which of these will you not use? A. pictures C. 27-inch television B. projection device D. computer with LCD projector 86. Computers can be classified according to the roles they play namely communicative tool, informative tool, and constructive tool. What is the other role of computes in the options below? A. instructional tool C. utility tool B. situating tool D, application tool 87. Which of the following categories of CAI will you use in your class if your objective is to increase proficiency in a newly learned skill or refresh an existing one? A. tutorial C. simulation B. drill and practice . D. Instructional game 88. Which of the following is an ineffective use of presentation software? A. Darken the room B. Use appropriate pacing C. Read directly from the slides. D. Allow interaction with the learner. 89. Which of the following is NOT an example of communicative tool? A. multimedia encyclopedia B. teleconferencing C. electronic mail D. chat
  • 5. 90. Which is a characteristic of the teaching machines of B. F. Skinner? A. It does not need any feedback. B. It requires teacher’s assistance. C. It is meant for a collaborative work. D. It allows a student to learn at his/her own pace. 91. Why is one-way delivery of information a misuse of communication tools? A. because the teacher expects the student to study more B. because it requires activities that focus on thinking than responding C. because it enables the users to focus more on higher level cognitive activities D. because this kind of practice lessens interaction capabilities of communication tools 92. Internet consists of thousands of connected computer networks around the world. Which term does NOT refer to Internet? A. A. NET C. “Cyberspace” B. B. Online D. “Information Superhighway” 93. Your class adviser is planning to have an asynchronous communication with your classmates. Which technology tools can she use? A. chat and blog B. chat and instant messaging C. blog and video conferencing D. electronic bulletin board and email 94. In your computer subject, you allow your class to chat as a part of your motivation before discussing them the roles of computer. How is chat used in this context? A. Communicative tool C. Application tool B. Informative tool D. Situating tool 95. Your mother wanted to finish her long dreamed course but she wanted to do it at home during her free time. How could you help your mother in pursuing her dream? A. Encourage her to hire a helper so that she can attend regularly to her class. B. Give up your study so that your mother can attend her classes. C. Enroll her to the school where you enrolled. D. Enroll her in distance education 96. The following statements are true about computer conferencing. Which is an exception? A. It refers to live student interaction with an expert. B. It is also known as discussion forum or bulletin board. C. It also refers to online class discussions, forums or debates D. It permits two or more individuals to engage in asynchronous text-based dialogue. 97. Which instructional tool application will you introduce to your class if your objective is to help them find and use information resources available in the internet? A. Webquests C. Scavenger Hunt B. Hybrid course D. Distance education 98. Maryjane is looking for an organized instructional program in which the teacher and learners can be physically separated. Which of the following will she choose? A. Distance Education B. Uniform Resource Locator C. Web Quests D. Computer-Based Instruction 99. Prof. Ruscoe would like to show Rizal’s museum to the students but due to financial constraint, she couldn’t bring them there. What should she do to make the teachinglearning process more realistic? A. Conduct a virtual tour. B. Use DVD with less resolution. C. Show pictures of the museum to the whole class. D. Go to the museum and relate all observations made. 100. Which of the following should you avoid if you were asked to evaluate the effectiveness of an instructional game after using it in teaching a lesson in high school science? A. Present problems which are relevant to learning objectives. B. Allow learners to select different content materials. C. Provide a cooperative learning atmosphere. D. Provide a scoring system. * * * * * T H E E N D * * * * * POST TEST ED-TECH 1. Which of the following statements is correct about the domains of educational technology? 1. D 51. B 2. B 52 A 3 A 53 D 4 A 54 A 5 B 55 D 6 D 56 A 7 B 57 B 8 A 58 A 9 C 59 A 10 A 60 A 11 B 61 B 12 D 62 C 13 D 63 D 14 A 64 A 15 D 65 B 16 D 66 B 17 D 67 C 18 C 68 B 19 A 69 B 20 B 70 A 21 C 71 D 22 C 72 D 23 B 73 D 24 C 74 D 25 B 75 C 26 A 76 B 27 C 77 B 28 D 78 A 29 A 79 C 30 C 80 A 31 C 81 A 32 C 82 C 33 D 83 B 34 B 84 D 35 C 85 A 36 B 86 B 37 C 87 B 38 A 88 C 39 C 89 A 40 B 90 D 41 C 91 D 42 D 92 B 43 D 93 D 44 B 94 A 45 C 95 D 46 B 96 A 47 D 97 C 48 D 98 A 49 D 99 A 50 B 100 B
  • 6. FILIPINO POST – TEST I. Panuto: Bilugan ang titik ng wastong sagot. 1. Agad na sumigaw ang bata ____ makitang dumating ang kanyang kapatid a. ng b. nang 2. Ang mga mag-aaral ay nagkasundo _____ sa iminungkahi ng guro. a. din b. rin 3. Ang bawat tao _____ ay kailangang isakatuparan ang kanyang mithiin sa buhay. a. Daw b. raw 4. Ang kirot ay unti-unti ______ nawawala. a. ng b. nang 5. Ayon kay Jose Rizal, ang mga bata _____ ang siyang pag – asa ng bansa. a. daw b. raw 6. Sa Sabado _____ gabi mawawalan ng kuryente. a. ng b. nang 7. Hindi na nakaramdam ng gutom si Kuya mula _____ siya ay natulog. a. ng b. nang 8. _____ dalang pusa ang Inay nang umuwi. a. May b. Mayroon 9. Maya-maya ay sisingaw _____ ang amoy ng Patay. a. din b. rin 10. Ang dunong ay kailangan ng tao ngunit kailangan _____ niya ang tulong ng Maykapal. a. din b. rin 11. Sino ba ang sumisigaw _____ at nagtatakbuhan ang mga tao. a. doon b. roon 12. _____ tainga ang lupa, may pakpak ang balita. a. May b. Mayroon 13. Ang bawat tao sa mundo ___ ay dapat magkaunawaan para sa kanilang ikabubuti. a. Daw b. raw 14. Ang Pilipinas ay malakas ____ tulad ng Singapore kung karapatan ang Pag-uusapan. a. din b. rin 15. Unti- unti ____ humuhupa ang kanyang galit. a. Ng b. nang II. Ibinigay ang kahulugan ng salitang may salungguhit. 16. Narinig ko ang alawat ng mga bata sa silid ng mag- asawang Maria at Jose. a. ingay c. sigaw b. mahinang alingawngaw d. tawanan 17. Ang Itay ay alimbuyaw nang dumating kanina. a. Aburido c. Patakbo b. Masaya d. sumigaw 18. Si Tj ay isang anluwagi nang mapangasawa ni Luisa. a. Guro c. karpintero b. katulong d. pulis 19. Kakarampot ang nakuha kong ulam sa mesa. a. marami c. malalaki b. katiting d. mamhahaba 20. Alumpihit ang Itay habang hinihintay ang Inay. a. Kabang-kaba c. Di-mapalagay b. Siyang- siya d. Tuwang-tuwa 21. Iyon ang kinamihasnan ng babaeng iyon sa bundok kaya di-makaunawa sa iyo. a. natutuhan c. napag-aralan b. kinagawian d. nagustuhan 22. Ang alipustahin ang mga dukha ay di kanais-nais na pag- uugali. a. layuan c. talikdan b. apihin d. kagalitan 23. Nakita kong pakimod na sumagot ang babae sa dalaga nang mag-usap sila. a. Paismid c. patawa b. Pangiti d. pasigaw 24. Isang indihente ang tumawag ng aking pansin dahil sa nakakatawang ayos nito. a. Maralita c. mag-asawa b. Matanda d. paslit 25. Naging Cum Laude si Memi dahil siya ay nagsunog ng kilay gabi-gabi. a. nagbubunot c. nag-aahit b. puspos sa pag-aaral d. nag-aayuno 26. Parang balat-sibuyas ang kutis ng babaeng ito. a. namumula sa bilog c. mahaba at payat b. napakaputi at malinis d. pino at malambot 27. Kapit-tuko sa isat’-isa habang naglalakad ang magkasintahang Heart at Echo. a. away nang away b. mahigpit na magkahawak-kamay c. malayo ang agwat d. patakbo 28. Ang langitngit ng mga bintana ay gumigising nang lubos sa katahimikan ng silid-aralan. a. Alatiit c. dekorasyon b. kulay d. sira 29. Mataginting na tinanggap ng batang paslit ang pangaral ng guro. a. maingay c. mapayapa b. pasigaw d. paismid 30. Ang paswit ay sa aso, ang Oo ay sa tao. a. Palo c. buto b. Sipol d. sigaw III. Ibinigay ang tamang sa mga tulang bayani 31. Ang tawag sa mga tulang bayani a. dalit c. senakulo b. epiko d. duplo 32. Tinaguriang Joseng Batute ng Pilipinas a. Jose Garcia Villa c. Jose Corazon de Jesus b. Francisco Baltazar d. Modesto de Castro 33. Mga sagisag na ginamit ni Rizal a. Piping Dilat c. Pudpod at Plaridel b. Dolores Manapat d. Dimasalang at laong laan 34. Ang “ prinsipe” ng makatang Tagalog a. Modesto de Castro b. Francisco Baltazar c. Fernando bagong Lanta d. Jose Garcia Villa 35. Siya ay tinaguriang “ Ama ng Balarila ng Wikang Pambansa” a. Jose Villa Panganiban c. Severino Reyes b. Lope K. Santos d. Rafael Palma 36. Isang dula noong panahon ng Hapon na isinulat ni Francisco Soc Rodrigo a. Panibugho c. Panday Pira b. Sa pula, Sa Puti d. Luha ng Buwaya 37. Ama ng Katipunan a. Emilio Jacinto c. Apolinario Mabini b. Andres Bonifacio d. Marcelo H. del Pilar 38. Isang uri ng panitikan na nagsasaad ng simulain ng mga bagay o tao sa daigdig a. tula c. alamat b. tibag d. maikling kwento 39. Pinakabantog at pinakamahalagang awit na nasulat ni Francisco Baltazar a. Senakulo c. duplo b. epiko d. Florante at Laura 40. Ang kauna-unahang Pilipinong manlilimbag a. Marcelo del Pilar c. Jose Maria Panganiban b. Tomas Pinpin d. Emilio Aguinaldo 41. Ang tawag sa ating unang alpabeto a. Alpabetong Romano c. Kartilya b. Alibata d. Romanisasyon 42. Ang taong may “memorya fotograpica” a. Jose Maria Panganiban b. Jose Garcia Villa c. Jose Corazon de Jesus d. Jose Rizal
  • 7. 43. “Ama ng Dulang Pilipino” a. Julian Balmaceda c. Lope K. Santos b. Severino Reyes d. Emilio Jacinto 44. Siya ay tinaguriang Joseng Sisiw a. Jose Villa Panganiban c. Jose dela Cruz b. Pedro Paterno d. Modesto de Castro 45. Ang kilalang epiko ng mga Muslim a. Hudhud c. Hinalawod b. Darangan d. Bantugan 46. Ang kauna-unahang aklat na nalimbag sa pilipinas a. Pasyon c. Doctrina Christiana b. Barlaan at Josaphat d. Florante at Laura 47. Ama ng Wikang Pambansa a. Emilio Aguinaldo c. Aurelio Tolentino b. Manuel L. Quezon d. Florante at Laura 48. Ang “ Orator ng Pagbabago” a. Graciano Lopez Jaena c. Urbana at Feliza b. Mariano Ponce d. Jose Buhain 49. Isang dulang nagwagi ng kauna-unahang Gatimpalang Palanca a. Medusa c. Urbana at Feliza b. Tibag d. Hulyo 4, 1946 A.D 50. Ang may-akda ng “Ang Cadaquilaan ng Dios” a. Emilio Aguinaldo c. Julian Felipe b. Marcelo H. del Pilar d. Lopez Jaena 51. Baston ni Adan Hindi mabilang-bilang a. buhok c. dahon b. ulan d. palay 52. Ang dalawa’Y tatlo na, Ang maitim ay maputi na Ang bakod ay lagas na a. aso c. matandang tao b. kalabaw d. punong kahoy 53. Ang anak ay nakaupo na Ang ina’y gumagapang pa a. kalabasa c. sanggol b. saging d. aso 54. Kung araw ay bumbong Kung gabi ay dahon a. saging c. atip ng bahay b. banig d. paying 55. Isang reyna Nakaupo sa tasa a. kandila c. kasoy b. kapa d. santol 56. Dalawang magkaibigan, unahan nang unahan. a. trak c. bibig b. paa d. mata 57. Dalawang bolang sinulid Umaabot hanggang langit a. bola c. lobo b. mata d. saranggola 58. May ulong walang mukha May katawan, walang sikmura Namamahay nang sadya a. pako c. upo b. palito ng posporo d. talong 59. Bumili ako ng alipin Mataas pa sa akin a. payong c. sombrero b. atip d. bahay 60. Tubig sa ining-ining Di mahipan ng hangin a. ilog c. ulan b. balon d. dagat 61. a. eskursiyon c. exkursion b. iskursiyon d. excursion 62. a. scout c. iskawt b. escout d. skawt 63. a. colisiyon c. koliseum b. kolisiyum d. coliseum 64. a. Istadyum c. Estadyum b. Stadium d. estadium 65. a. Matematika c. matimatika b. Mathematica d. matemateka 66. Karamihan sa mga sugapa ay mula sa wasak na tahanan. a. malaki ang sita ng bahay b. maliit lamang ang bahay c. magkahiwalay ang magulang d. walng magulang 67. Matagal na lumagay sa tahimik si Marcia. Ang ibig sabihinay _______. a. matagal na namatay c. hindi na nagpakita b. nag-asawa na d. nanganak na 68. Alin ang salawikain sa sumusunod: a. Nasa Diyos ang awa Nasa Tao ang gawa b. Di-maliparang uwak c. May puno walang bunga May dahon walang sanga d. Nag-bubuhat ng sariling bangko 69. Ang bagong alpabetong Filipino ay may ______ ng letra. a. 20 b. 24 c. 28 d. 30 70. Ito ay bahagi ng aklat na makikita sa likod. Ito ay talaan ng lahat na mahalagang paksa kasama ang pahina. Ang mga paksa ay nakasulat sa paalpabeto. a. Talatuntunan c. Talahulugan b. Talatinigan d. Talaan ng nilalaman 71. Isang kuwento ng ang gumagapang ay mga hayop na kumikilos at nagsasalita na parang tao. a. Parabola c. kuwento b. pabula d. alamat 72. Ito ay isang uri ng dula na nawawakas a pagkamatay ng pangunahing tauhan. a. komedya c. melodrama b. epiko d. trahedya 73. Isang kuwento hango sa banal na kasulatan na umaakay sa tao sa matuwid na landas ng buhay. Ito ay may aral. a. Anekdota c. parabola b. alamat d. sanaysay 74. Isang tagisan ng mga talino sa pamamagitan ng katwiran sa pamamaraang patula. a. balagtasan c. tula b. talumpati d. duplo 75. Si severino Reyes na lalong kilala sa tawag na Lola Basyang ay higit na kilala sa larangan ng: a. dulaan c. pag-awit b. pagtula d. balagtasan 76. Ang Kumitang ay isang uri ng awiting bayan. Ito ay may karaniwang inaawit sa: a. paghaharana c. paghehele b. pakikidigma d. pamamangka 77. Ang senakulo ay isang panrelihiyon; ito ay naglalayon na a. ipaala ang kapanganakan ni Hesukristo b. ipakita ang pagkakapatiran ng mga Kristiyano at Muslim c. magsalarawan ngmga pinagdaanang buhay at kamatayan ni Hesukristo d. magligtas sa mga kasalanan 78. Sa akda niyang “Guryon”, ipinalintulad ni Idelfonso Santos ang Guryon sa: a. buhay ng tao c. anyo ng pagpapalipad b. tibay ng pisi d. hanging habagat 79. “Unupo si Itim, sinulot ni Pula, heto na si Puti na bubuga- buga.” Ito ay halimbawa ng isang: a. bugtong c. alamat b. salawikain d. kuwentong bayan 80. “Ang sinuman ay makabubuo ng matibay na lubid kung pagsasamahin ang sinulid.” Ang ibig sabihin ng kasabihang ito ay: a. Mahirap magkaisa ang mga tao. b. Madali ang gumawa ng lubid kung may sinulid c. Kailangan natin ang lubid sa ating mga Gawain. d. Magkakaroon tayo ng lakas kung tayo’y magkakaisa.
  • 8. 81. “Ang taong nagigipit sa patalm kumapit.” Ano ang ibig sabihin ng salawikaing ito: a. Ang kaligtasan ng taong nagigipit ay sa tapang ng dibdib b. Susuungin ng tao kahit ani mang panganib upang malunasan ang kanyang problema c. Malapit sa panganib ang mga taong nagigipit. d. Huwag makiharap sa taong nagigipit sapagkat siya ay siguradong galit 82. Alin sa sumusunod ang hindi tuluyang anyo ng panitikan? a. korido c. kuwentong bayan b. alamat d. maikling kuwento 83. Tukuyin kung anong uri ng panitikan ang “Isang bayabas, pito ang butas.” a. Sawikain c. Salawikain b. Idyoma d. Bugtong 84. “Ano man ang tibay ng piling abaka ay wala ring lakas kapag nag-iisa.” Isinasasaad ng salawikaing ito ang kahalagaan ng : a. pagkakaisa’t pagtutulungan b. tibay ng dibdib at lakas kahit nag-iisa c. pagkakaroon ng lakas kahit nag-iisa d. pagpapalakas ng loob lalo’t nag-iisa 85. Sa akin lipain doon nagmula Lahat ng pagkain nitong ating bansa Ang lahat ng tao mayaman o dukha Sila’y umaasa sa pawis ko’t gawa. Ano ang ipinahihiwatig ng saknong? a. Lahat ng pagkain ay sa magsasaka nagmumula b. Lahat ng magsasaka ay may lupang sinasaka c. Lahat ng tao’t bagay ay galling sa lupa d. Lahat ng umaasa sa biyayang galling sa magsasaka. 86. Ang kaibigan ko ay isa lamang maralita. a. mangmang c. mabait b. maliliit na tao d. mahirap 87. Si Nena ay inaruga ng kanyang lola mula pa noong siya’y maulila. a. pinabayaan c. inalagaan b. pinamigay d. kinuha 88. Palasak na ang desenyong iyan. a. pambihira c. magastos b. pangkaraniwan d. wala sa moda 89. Ang mga salbahe ay kinamuhian niya a. kinakalinga c. kinatatakutan b. kinukumusta d. kinasusuklaman 90. Ang mga kawal na lumabag sa utos ay binigyan ng babala. a. sundalo c. kusinero b. kaibigan d. pulis 91. Nangangamba ka ba na hindi ka niya pagbibigyan? a. nasisiyahan c. nababanas b. natatakot d. naiinis 92. Ang pagpunta sa Saudi Arabia ay di-gawang biro. a. Madali c. mahirap b. masayang Gawain d. maayos 93. Si Miguel ay sumakabilang buhay na noong Linggo. a. nagpaalam c. nagpunta sa siyudad b. namatay d. nagbayad ng utang 94. Bakit mukhang Biyernes Santo si Marko. a. malungkot c. mukhang masaya b. lumuluha d. tumatawa 95. Nakaririmarim ang nangyaring sakuna sa dagat. a. nakalulungkot c. nakaiinis b. nakatatakot d. nakapangingilabot 96. Ang dayuhang siyang pinakamatalik na kaibigan ni Rizal ay a. Austin Craig c. Otley beyer b. Ferdinand Blumentritt d. Don Eulogio Despujl 97. Dahil sa tulong at pagmamalasakit ni a. Dona Aurora A. Quezon b. Tandang Sora c. Luz B. Magsaysay Sa kapakanan ng mga sinalanta ng sakuna, siyay tinaguriang Ina ng Kruz na Pula. 98. Kung ano ang “Urbana at felisa” sa mga tagalog ang a. Lagda c. Bidasari b. Maragtas d. Hudhud ay siya naman sa mga Bisaya. 99. Sa mga tauhan ng Noli Me Tangere ni Rizal, si a. Basilio c. Capitan Tiago b. Elias d. Simon Ang nagligtas kay Ibarra sa kapahamakan 100. Ang aklat ng mga tinipong tula sa Tagalog ni Lope K. Santos ay pinamagatang a. Damdamin c. Tungkos ng Alaala b. Puso at Diwa d. Mga Dahong Ginto * * * * * T H E E N D * * * * * WORK HARD, DREAM HARDER filipino 1 B 51 B 2 B 52 C 3 B 53 A 4 B 54 B 5 B 55 C 6 A 56 B 7 B 57 B 8 A 58 B 9 B 59 C 10 A 60 B 11 A 61 B 12 A 62 C 13 B 63 B 14 A 64 A 15 B 65 A 16 B 66 C 17 A 67 B 18 C 68 A 19 B 69 C 20 C 70 A 21 B 71 B 22 B 72 D 23 A 73 C 24 A 74 A 25 B 75 A 26 D 76 B 27 B 77 C 28 A 78 A 29 C 79 A 30 B 80 D 31 A 81 B 32 C 82 A 33 D 83 D 34 B 84 A 35 B 85 D 36 B 86 D 37 B 87 C 38 C 88 B 39 D 89 D 40 B 90 A 41 A 91 B 42 A 92 C 43 B 93 B 44 C 94 A 45 B 95 D 46 C 96 B 47 B 97 A 48 A 98 D 49 D 99 D 50 B 100 B
  • 9. HUMAN GROWTH AND DEVELOPMENT POST-TEST April 2010 Multiple Choices: 1. The process by which certain potentials are inherited from the parents for his development a. Life c. Heredity b. Birth d. Character 2. This theory states that there are 8 basic development stages that the individual has to pass through his life a. Learning Theory b. Psychoanalytic Theory c. Psychosocial Theory d. Cognitive Development 3. Transition age from childhood to adulthood where rapid physical changes and sex maturity occur resulting in changes in ways of feelings, thinking and acting. a. Puberty c. Early adulthood b. Adolescence d. Stage V 4. Modifying an existing scheme after an individual’s interaction with the environment, resulting in the creation of a new scheme. a. Assimilation c. Recognition b. Interaction d. Accommodation 5. Theory stating that a person’s behavior can be motivated by urges towards self satisfaction. a. Psychoanalytic Theory b. Cognitive development theory c. Psychosocial Theory d. Moral development theory 6. The ability of a child to conceptualize the retention and preservation of the same quantity under various changes. a. Recognition c. Assimilation b. Reversibility d. Conservation 7. Refers to the idea that no individual are exactly the same or alike. a. Cognitive theory c. Individual differences b. Exclusivity theory d. Emotional quotient 8. He is known as the Father of Modern I.Q. Test a. Lewis Terman c. Laurence Kohlberg b. Erick Erickson d. Martin Lesley 9. “Intellectual appreciative Experience” is … a. base on the premise that all learning has emotional correlates b. obtained in the field of music, art and literature c. the acquisition and retention o acts and information d. assumes that human activities are based on stimulus and response 10. These statements imply that children at the early learning stage consider parents and teachers as authorities and models. a. Parents and teachers should always coordinate children’s activities b. Parents should enforce strict discipline at home and teachers in school c. Parents and teachers should be the role models at all times d. Parents and teachers should always consult each other with regards the child’s intellectual development 11. Any change in the behavior of an individual a. Learning c. Change b. Response d. Development 12. Which of the following principles IS NOT considered under Classical Conditioning by Ivan Pavlov? a. Excitation b. Adhesive Principle c. Stimulus Generalization d. None of the above 13. The reinforcement of a person’s responses by presentation or removal of rewards and punishment. a. Operant conditioning c. Feedback Principle b. Transfer of learning d. Discipline 14. This stimulation of action best explains the behavior of an individual to take what he perceives to be the shortest route to his goals. a. Recognition c. Response b. Assimilation d. Motivation 15. The process by which an individual acquires the social and cultural heritage o the society where he belongs. a. Socialization c. Integration b. Internalization d. Acquisition 16. Philosophy of education’s main function. a. Aid the leaner to build his own personal philosophy b. Definition o goals and setting of directions from which education c. Educations carries on a lifetime cycle d. Provision of academic background prerequisite to learning 17. According to Froebel, kindergarten is also known as “____________? a. children have fun and enjoyment b. Garden where children could grow c. He learning Center for Life d. Where new beginnings begin 18. Which of the following statements is given emphasis by “humanistic education?” a. The great works of man such as the classics should be enjoyed. b. Man should learn the different philosophies of education c. “Build a man who is distinctly civilized, educations and refined” d. Develop man into a thinking individual 19. A teacher who advocates the pragmatic philosophy of education believes that experience should follow learning, thus, she has to? a. require her student mastery of the lessons b. encourage her students to memorize facts c. equip her students with basic skills and abilities d. provide her student with opportunities to apply their skills and abilities 20. How are institutions of learning encouraged to set higher standards over and above the minimum requirement for state recognition? a. Scholastic achievement b. Faculty development c. Academic freedom d. Voluntary accreditation 21. The period of physical, especially sexual, and mental maturation which is characterized by rapid somatic growth is known as a. infancy c. puberty b. early childhood d. adulthood 22. Claustrophobia is an irrational fear of a. Darkness c. closed space b. strangers d. height 23. An eye defect characterized by clear vision in one dimension but unfocused vision on the other is called a. myopia c. hyperopia b. astigmatism d. presbyopia 24. Which of the following statements does not apply to adolescents? a. they desire the approval of their peers b. they seek dependence on their parents c. they have a marked sex development d. none of the above 25. As young people mature, society expects them to develop competencies and assume social roles in a conventional manner. a. expectation of parents b. influence of peers groups c. influence of formal education d. cultural demands 26. The founder of the theory of psychology called psychoanalysis was a. Lock c. Freud b. Hume d. leibnitz
  • 10. 27. When the learner reaches a point where no further improvement can be expected, he is in a so-called a. development crisis c. regression b. learning plateau d. depression 28. Regarding the sexual maturation o boys and girls, teachers should bear in mind that: a. girls mature at a late stage than boys b. girls mature at an earlier stage than boys c. boys and girls mature at the same time d. there are no marked differences in heir time of maturity 29. Rationalization is used by student who a. always give explanation or reason for their failures rather than own their faults b. like to take the blame for their faults c. bribe their elders with promises d. substitute words for deeds 30. Which of the following is true of Abnormal Psychology? a. it studies the cause of personality defects b. it measures the accomplishments of the individual c. it concentrates on the scholastic performance of the individual d. it investigates the educational background of the individual 31. Which of the following is a continuous variable? a. weight c. nationality b. sex d. race 32. Which of the following is true about one’s IQ? a. it remains fairly constant b. it is highly changeable c. it is affected by attitude d. it is never constant 33. Transfer of training easily takes place if the activities involved a. Are different b. Have identical element c. Occur in the same place d. Vary in difficulty 34. When the learner is well-motivated, he performs his task a. with indifference c. with arrogance b. with disinterest d. with enthusiasm 35. A six-year-old child who has a mental age of eight years has an IQ of a. 120 b. 130 c. 132 d. 133 36. The ratio obtained by dividing mental age by chronological age times 100 is called a. derived quotient b. deviation c. intelligence quotient or IQ d. intelligence ratio 37. Which of the following was written by Plato? a. Sic et Non c. The Republic b. The School and Society d. Emile 38. Who among those below asserted that “Education is for complete living” a. Dewey c. Kant b. Spencer d. Froebel 39. The right of an educational institution and its faculty to prescribe the methods/strategies of teaching refers to: a. building style b. choice of curriculum c. academic freedom d. co and extra curricular program 40. The 1987 Constitution provides that religious institution can be given a. with the students’ consent b. with the parent/guardian approval c. with mayor’s permit d. with the school’s support 41. Public schools in the Philippines are the contribution of which colonizer? a. American c. Japanese b. British d. Spanish 42. Hardship allowance is given to a teacher when a. he’s assigned in a depressed area b. he’s given additional teaching load c. he’s in lahar area d. he’s assigned in a hazardous area 43. The ability for quantitative learning of the relations of facts taken from newspaper readings, letter writing and the like is called: a. functional literacy c. Knowledge outcome b. adjustment learning d. Social competence 44. A teacher who gives a uniform assignment to be worked out by all learners in Arithmetic is not observing a characteristic of a good assignment. Which characteristic is overlooked? a. It should be definite b. It should be stimulating c. It should emphasize the essential d. It should provide for individual differences 45. If a student ask a question which the teacher does not have a ready answer, the latter should: a. dismiss the question as irrelevant b. offer a bluff c. admit the fact that he doesn’t know the answer d. ask volunteers to answer the question and do research on it later. 46. The heredity traits acquired by a person in his lifetime; a. are transmissible to his offspring b. reappear in his future grandparent c. Have no influence on the offspring d. Become recessive traits 47. When student are given a chance to settle differences of opinion by discussion, they develop: a. fair play c. irritants b. tolerance d. sociability 48. The school’s responsibility towards teenagers “gang age” is: a. provide the gang all the freedom it needs b. gives classroom activities to give direction to out-of- school youth activities c. supervise gang activities d. set up norms of conduct or the member of the gang 49. In an intelligence test, a 13-year old girl got a score equivalent to that of a 15-year old. This means: a. that the girl must be accelerated b. that the girl is 2-years older mentally c. that the girl has a chronological age of 15 d. that she has a mental age of 13 50. Which statement is not necessary to achieve the learner’s interest in a learning activity? a. the activity must lead to a practical end b. the activity must be within the ability of the learner c. the activity must fill a need recognized by the learner d. the learner must have the experience that will furnish the background for the activity 51. He is responsible for the theory which recognizes the importance of developing multiple intelligence a. Jean Piaget c. Frederick Freobel b. Howard Gardner d. Sigmund Freud 52. The need to recognize and develop special sensitivity to language, thus helping the learners to use the right word, phrase and/ or graph to grasp new meaning refers to a. visual intelligence c. feelings sensitivity b. linguistic intelligence d. jargon 53. The sensitivity to tone and pitch, allowing one to produce musical scoring is intelligence in? a. musical c. quantitative exercises b. verbal ability d. qualitative analysis 54. One’s ability to do abstract reasoning and manipulate symbols refers to what type of intelligence? a. musical b. personality identification c. mental ability d. mathematical-logical
  • 11. 55. The ability to perceive how objects are related in order to mentally perceive what is seen, thus creating concrete visual images from memory refers to? a. visual-spatial intelligence b. musical c. language d. logical reasoning 56. The capacity to analyze one’s feelings and thus be able to understand and be able to know the motives of other people’s actions. a. spatial c. logical b. personal d. diametric 57. The type of intelligence which enables a person to understand other person’s feelings, behavior and motivation. a. emotional c. social intelligence b. spatial d. quantitative and qualitative 58. The type of intelligence which characterizes actress, actors, mimes, dancers and people of the Arts? a. bodily-kinesthetic c. research b. scientific d. emotions 59. An emerging thrust in determining one’s personality, whether pleasant or unwholesome, this type of personality measurement is the wholesomeness of one’s virtues, i.e., values, relationships with other, adjustments to varying situations, behavior an motivations a. emotional quotient (E.Q.) b. intelligence quotient (I.Q.) c. maladjustment personality d. anticipated behavior 60. It is a measurement of personality which is the result by dividing the mental age by the chronological age. a. emotional quotient (E.Q.) b. intelligence quotient (I.Q.) c. multiple Intelligence d. forecasted behavior quotient 61. The teacher must be aware that both heredity and environment represent complex factors, exerting many specific influences on an individual’s growth. Which of the following statements best represents the influence of heredity and environment? a. Heredity counts; environment is less important. b. If the environment is changed, heredity becomes less important. c. The relative influences of heredity and environment can vary widely in an individual’s growth. d. In the long run, both tend to cancel each other’s influences e. None of the above 62. The best possible way to measure the influence of heredity is by: a. keeping the environment constant. b. Ignoring the environment c. Studying only fraternal o normal capability d. Studying only identical twins of normal capability e. Doing none of the above 63. Educators who contributed to the “open education” movement includes: a. Neill and piaget c. Bruner and Silberman b. Kohl and kozol d. All of the above 64. A child’s social skills can be measured by: a. direct observation and parent-teacher conferences b. psychological test c. adaptive behavior scales d. A and C above 65. A teacher uses behavioral modification techniques in his classes. Which of the following student behaviors would he find most difficult to change? a. Aggressive tendencies toward classmates b. Poor habits in organizing work materials c. Interrupting a speaker d. Abandoning a project before it is finished 66. Learning-disabled children most characteristically have: a. low IQ b. poor socio-economic backgrounds c. an average level of intelligence d. minimal brain damage 67. Which of the following is true about educable mentally retarded children? a. Their IQ range between 50 and 70 b. They have short attention spans and experience difficulty in generalizing c. Their reading, writing, and arithmetic skills cannot be improved d. A and B above 68. Which of the following is characteristics of a dyslexic child a. Mirror writing b. listlessness c. Below-average intelligence d. Hyperactivity 69. Primary reading retardation is presumed to be neurologically based, related to parietal lobe dysfunction? a. Inability to relate sound to letter symbols b. Inadequate auditory information processing c. Left-right directional confusion d. Speech aphasia 70. Students with secondary reading problems have capacity to read, but are non-readers because of: a. auditory problems b. congenital defects c. visual-acuity impairment d. environmental or emotional actors 71. If a teacher accepts Maslow’s theory on the hierarchy of needs, he or she will probably structure objectives to: a. meet both the physiological and intellectual needs of students b. eliminate testing c. eliminate extrinsic motivations d. maintain a certain anxiety level for increased competition 72. The knowledge explosion has led to crowding more and more information into curriculum courses. A likely result is that: a. the textbook will no longer be the main instructional medium in many classes b. the child may spend more time in school c. the teacher may have to rely more on the se of multimedia materials d. all of the above 73. During the learning process the teacher has most control over: a. the learners b. the learning environment c. the learning process d. the behavior of the learners 74. Which of the following conditions does NOT contribute to a climate psychologically suited to learning? a. The teacher acts like a “real person.” b. The teacher makes all of the decisions about students’ learning activities. c. The teacher accepts students as they are d. The teacher shows trust in students’ decisions
  • 12. 75. William Glasser advocates the frequent use of classroom meetings, with teacher and students sitting in a small circle. Which one of the following types of discussion would NOT be appropriate in such a setting? a. An educational-diagnostic conference on the learning weaknesses of individual students. b. An open-ended meeting for the purpose of exploring and discussing student’s ideas about the curriculum c. A social-problem-solving meeting to resolve teacher or student problems elating to the school, the class, or any individual member. d. A sensitivity-training meeting for the purpose of helping students ace their school-related problems and learn how their actions can affect others 76. Which of the following does NOT represent a teacher’s contribution to the emotional environment of the classroom? a. A strident, compelling voice. b. A sustained sense of expectation where student achievement is concerned c. A well-written lesson plan d. A sense of humor in a tense situation 77. According to Jones, student commitment to accomplishing a learning goal depends on all of the following EXCEPT: a. how interesting the goal is b. how likely it seems that the goal can be accomplished c. what degree of challenge the goal presents d. whether the learner will be able to tell if the goal has been accomplished e. whether materials are ready assembled for undertaking the goal 78. The teacher who understands the adolescent’s need to conform will: a. use sarcasm as a disciplinary device b. disregard unique responses in discussion and on examinations c. establish a learning climate that fosters feelings of security d. lecture students on their weakness o character 79. The best public relations agents for a school are the: a. pupils c. PTA members b. Teachers and pupils d. principals 80. The structured curriculum is in decided contrast to the child-centered curriculum, which: a. emphasizes fundamental education b. is changeable and is built around student interest and needs c. is oriented to the needs of a democratic society. d. Utilizes the theory of mental discipline 81. According to Bruner, teacher working with young children should a. Push the children to maximum cognitive development as rapidly as possible b. Present all information verbally so the children will listen well c. Present new material from the concrete to the abstract d. Present new information from the abstract to the concrete 82. from the educational viewpoint, intelligence is: a. an abstract concept b. a trait that can be manipulated c. good judgment d. a form of behavior 83. Every taxonomy of educational objectives: a. describes increasingly difficult learning activities b. describes levels of goals for learner development c. suggest evaluation measure for teacher use d. Classifies learning outcomes 84. A mathematics teacher following Gagne’s theory of learning believes that: a. learning can take place under all conditions b. learning is mainly a mater of accurate discrimination c. learning takes place only when the student is in a receptive state d. learning is reinforced chiefly by classical conditioning 85. Under which of the following conditions is a child’s IQ more likely to increase? a. If the emotional climate in the classroom improves b. If the child is given a large “research” project. c. If the child enjoys problem solving and is given ample opportunity for it d. If A and C are true 86. Intelligence is the basis of education. Education is the effective means for national development, hence, a country spends a large portion of its budget for the systematic training of the learner to attain full development Why is education one major concern of every c country? Because a. intelligence has many facets b. intelligence is useful in testing c. intelligence is a safe gauge for budgetary allocation d. intelligence test when carefully conducted, can help in determining need for future facilities for national building 87. There are no two individuals who are the same. Individual differences, when early recognize and provided for, enable the teacher to provide different motivations and approaches in guiding the learning process. Each pupil differs physically, mentally, socially and emotionally from other children. Unless the teacher provides for this nature of the learner, no amount of modern approaches in teaching can elicit favorable results. a. The paragraph highlights the need or motivating learning b. Individual differences is an important consideration in guiding the learner c. The above paragraph focuses on teacher-pupil relationship d. It takes about the nature of the learning process 88. Robert Craig, et al, wrote of the phase of steps in every learning process. These include: 1.) the focusing of attention to the stimulation at hand, 2.) the interplay of the learner and the social factors that surround him, 3.) the acquisition of a new response or behavior he gives to the new learning and 4.) Retention which presupposes that the new learning is acquired. The above paragraph emphasizes a. the learning process b. the steps/phase of how individuals learn c. the manifestations of learning d. why learning is a difficult process 89. Approaches in teaching change from time to time depending on the traditional of sophistication attached to the course being taught. Some mentors believe that the tie tested ways to teaching is effective. Other are easily carried away to use modern approaches in imparting new subject matter. It maybe safe to conclude that once results are realized in teaching, no specific method can be considered the one-and-only method to use. When teaching a subject area, it is safe to a. stick to the traditional way b. be modern and most recent c. get results in teaching d. to try any method as they are all theories after all
  • 13. 90. In the early 1980’s programmed teaching became popular in helping teachers to provide for individual differences in learners. The chunks of the subject matter which are divided into units are supposed to help the learner master the lesson, since it is simply to understand the frame of the lessons. No test o mastery of the units are done because the purpose is to provide information on certain subject matter Would you as a teacher use programmed instruction if you handle a subject on Values Education? a. yes, definitely b. no, not important for the subject matter c. I don’t know d. Why not if the subject matter calls for it 91. The data/subject matter to teach are gathered in different ways, These include historical sources like surveys, systematic observations, experimentation, interviews, etc. to be reliable and valid, the data collected must be organized, properly analyzed and interpreted. From these processes, some conclusion or generalization are done to reveal certain relationships like cause & effect. Data gathering involves: a. tedious and serious study b. easy does it c. data gathered are tested and filed, then verified before being used d. no follow-up needed 92. Heredity and environment play important roles in the function of human beings. DNA or Deoxyribonucleic Acid is the biological (heredity) band of our genes. Our environment includes the house, school and the community where we live. Whether we become successful or a failure will depend on the interplay of both nature and nurture. If heredity and environment affect the individual, thus, we can conclude that a. both actors play equal roes in one’s life b. one factor, either heredity or environment exerts more influence than the other c. neither factor is important d. nurture and nature are the same 93. The first systematic philosopher to work in the field of education was a. Socrates c. Plato b. Aristotle d. Rousseau 94. The first state in the world’s history where all human capabilities were allowed to develop freely a. Rome c. Sparta b. Athens d. Germany 95. They are the most practical, pragmatic people who absorbed themselves in the management of their state affairs a. Spartans c. Romans b. Athens d. Chinese 96. Invented the first system of writing in the orient a. Phoenicians c. Greeks b. Chinese d. Romans 97. first to introduce the use of printing press in the Philippines a. Romans c. Greeks b. Chinese d. Japanese 98. conducted the world’s first civil service test a. Greeks c. Chinese b. Romans d. English 99. To develop the capacity of man only for war was the educational aim of the ancient a. Romans c. Athenians b. Spartans d. Chinese 100. To produce a young man who would be charming in person and graceful in manner, e.g. a beautiful soul in a beautiful body is the educational aim of education of the a. Romans c. Spartans b. Athens d. Italians * * * * * T H E E N D * * * * * WORK HARD, DREAM HARDER human growth and development 1 c 51 c 2 c 52 b 3 b 53 a 4 d 54 d 5 a 55 a 6 d 56 b 7 c 57 c 8 a 58 a 9 a 59 a 10 c 60 b 11 a 61 c 12 d 62 d 13 c 63 d 14 d 64 d 15 a 65 a 16 b 66 c 17 a 67 d 18 c 68 a 19 d 69 d 20 d 70 d 21 c 71 a 22 c 72 d 23 b 73 b 24 b 74 b 25 d 75 a 26 c 76 c 27 b 77 e 28 b 78 c 29 a 79 b 30 a 80 b 31 a 81 c 32 a 82 a 33 b 83 b 34 d 84 c 35 d 85 d 36 c 86 d 37 c 87 b 38 b 88 b 39 c 89 c 40 b 90 b 41 a 91 a 42 c 92 a 43 d 93 c 44 d 94 b 45 a 95 c 46 a 96 b 47 b 97 b 48 b 98 c 49 b 99 b 50 a 100 b
  • 14. St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 14 LICENSURE EXAMINATION FOR TEACHERS (LET) Refresher Course Content Area: MATHEMATICS Focus: ANALYTIC GEOMETRY Prepared by: Daisy de Borja-Marcelino Competencies: 1. Solve problems involving coordinates of a point, midpoint of a line segment, and distance between two points. 2. Determine the equation of the line relative to given conditions: slope of a line given its graph, or its equation, or any two points on it. 3. Determine the equation of a non-vertical line given a point on it and the slope of a line, which is either parallel or perpendicular to it. 4. Solve problems involving a. the midpoint of a line segment, distance between two points, slopes of lines, distance between a point and a line, and segment division. b. a circle, parabola, ellipse, and hyperbola. 5. Determine the equations and graphs of a circle, parabola, ellipse and hyperbola. I. The Cartesian Plane Below is a diagram of a Cartesian plane or a rectangular coordinate system, or a coordinate plane. An ordered pair of real numbers, called the coordinates of a point, locates a point in the Cartesian plane. Each ordered pair corresponds to exactly one point in the Cartesian plane. The following are the points in the figure on the right: A(-6,3), B(-2,-3), C (4,-2), D(3,4), E(0,5), F(-3,0). For numbers 1-2, use the following condition: Two insects M and T are initially at a point A(-4, -7) on a Cartesian plane. 1. If M traveled 7 units to the right and 8 units downward, at what point is it now? Solution: (-4+7, -7-8) or (-3,-15) 2. If T traveled 5 units to the left and 11 units downward, at what point is it now? Solution: (-4-5, -7-11) or (-9, -18) II. The Straight Line A. Distance Between Two Points A. The distance between two points (x1,y1) and (x2,y2) is given by 2 2 1 2 2 1 ) ( ) ( y y x x    . Example: Given the points A(2,1) and B(5,4). Determine the length AB. Solution: AB =         18 9 9 3 9 4 1 5 2 2 2 2 2           or 2 9 or 2 3 . Exercises: For 1-2, use the following condition: Two insects L and O are initially at a point (-1,3) on a Cartesian plane. 1. If L traveled 5 units to the left and 4 units upward, at what point is it now? A) (-6, 7) B) (4, 7) C) (-6, -1) D) (4, -7) 2. If O traveled 6 units to the right and 2 units upward, at what point is it now? A) (7, 5) B) (5,5) C) (-7, 5) D) (-5, -5) The two axes separate the plane into four regions called quadrants. Points can lie in one of the four quadrants or on an axis. The points on the x-axis to the right of the origin correspond to positive numbers; while to the left of the origin correspond to negative numbers. The points on the y-axis above the origin correspond to positive numbers; while below the origin correspond to negative numbers.
  • 15. St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 15 3. Two buses leave the same station at 9:00 p.m. One bus travels at the rate of 30 kph and the other travels at 40 kph. If they go on the same direction, how many km apart are the buses at 10:00 p.m.? A) 70 km B) 10 km C) 140 km D) 50 km 4. Two buses leave the same station at 8:00 a.m. One bus travels at the rate of 30 kph and the other travels at 40 kph. If they go on opposite direction, how many km apart are the buses at 9:00 a.m.? A) 70 km B) 10 km C) 140 km D) 50 km 5. Two buses leave the same station at 7:00 a.m. One bus travels north at the rate of 30 kph and the other travels east at 40 kph. How many km apart are the buses at 8:00 a.m.? A) 70 km B) 10 km C) 140 km D) 50 km 6. Which of the following is true about the quadrilateral with vertices A(0,0), B(-2,1), C(3,4) and D(5,3)? i) AD and BC are equal ii) BD and AC are equal iii) AB and CD are equal A) both i and iii B) ii only C) both ii and iii D) i, ii, and iii 7. What is the distance between (-5,-8) and (10,0)? A) 17 B) 13 C) 23 D) -0.5 B. Slope of a line a) The slope of the non-vertical line containing A(x1,y1) and B(x2,y2) is 2 1 2 1 x x y y m    or 1 2 1 2 x x y y m    . b) The slope of the line parallel to the x-axis is 0. c) The slope of the line parallel to the y-axis is undefined. d) The slope of the line that leans to the right is positive. e) The slope of the line that leans to the left is negative. C. The Equation of the line In general, a line has an equation of the form ax + by + c = 0 where a, b, c are real numbers and that a and b are not both zero. D. Different forms of the Equation of the line  General form: ax + by + c = 0.  Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.  Point slope form: ) ( 1 1 x x m y y    where (x1, y1) is any point on the line.  Two point form: ) ( 1 1 2 1 2 1 x x x x y y y y      where (x1, y1) and (x2, y2) are any two points on the line.  Intercept form: 1   b y a x where a is the x-intercept and b is the y-intercept. Reminders:  A line that leans to the right has positive slope. The steeper the line, the higher the slope is. p q r The slopes of lines p, q, r are all positive. Of the three slopes, the slope of line p is the lowest, the slope of r is the highest.  A line that leans to the left has negative slope. The steeper the line, the lower the slope is. t s u The slopes of lines t, s, u are all negative. Of the three slopes, t is the highest, while u has the lowest (because the values are negative.) Exercises
  • 16. St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 16 1. What is the slope of 5 4 12 0 x y - + = ? A)1.25 B) -1.25 C) 0.8 D) -0.8 2. What is the slope of x = -9? A) 4 B) 1 C) 0 D) undefined 3. What is the slope of y= 12? A) 7 B) 1 C) 0 D) undefined 4. What is the slope of 1 4 9 x y + = ? A) 4 . 0 B) 2.25 C) - 4 . 0 D) - 2.25 E. Parallel and Perpendicular lines Given two non-vertical lines p and q so that p has slope m1 and q has slope m2.  If p and q are parallel, then m1 = m2.  If p and q are perpendicular to each other, then m1m2 = -1. F. Segment division Given segment AB with A(x1,y1) and B(x2,y2).  The midpoint M of segment AB is ) 2 , 2 ( 2 1 2 1 y y x x M   .  If a point P divides AB in the ratio 2 1 r r so that 2 1 r r PB AP  , then the coordinates of P(x,y) can be obtained using the formula 2 1 1 2 2 1 r r x r x r x    and 2 1 1 2 2 1 r r y r y r y    . G. Distance of a point from a line The distance of a point A(x1,y1) from the line Ax + By + C = 0 is given by 2 2 1 1 B A C By Ax d     . Exercises 1. Write an equation in standard form for the line passing through (–2,3) and (3,4). a. 5x – y = -13 b. x – 5y = 19 c. x – y = -5 d. x – 5y = –17 2. Write an equation in slope intercept form for the line with a slope of 3 and a y-intercept of 28. a. y = –3x + 28 b. y = 0.5x + 28 c. y = 3x + 28 d. y = 3x + 21 3. Write the equation in standard form for a line with slope of 3 and a y-intercept of 7. a. 3x – y = –7 b. 3x + y = 7 c. 3x + y = 7 d. –3x + y = –7 4. Which of the following best describes the graphs of 2x – 3y = 9 and 6x – 9y = 18? a. Parallel b. Perpendicular c. Coinciding d. Intersecting 5. Write the standard equation of the line parallel to the graph of x – 2y – 6 = 0 and passing through (0,1). a. x + 2y = –2 b. 2x – y = –2 c. x – 2y = –2 d. 2x + y = –2 6. Write the equation of the line perpendicular to the graph of x = 3 and passing through (4, –1). a. x – 4 = 0 b. y + 1 = 0 c. x + 1 = 0 d. y – 4 = 0 7. For what value of d will the graph of 6x + dy = 6 be perpendicular to the graph 2x – 6y = 12? a. 0.5 b. 2 c. 4 d. 5 III. Conic Section A conic section or simply conic, is defined as the graph of a second-degree equation in x and y. In terms of locus of points, a conic is defined as the path of a point, which moves so that its distance from a fixed point is in constant ratio to its distance from a fixed line. The fixed point is called the focus of the conic, the fixed line is called the directrix of the conic, and the constant ratio is called the eccentricity, usually denoted by e. If e < 1, the conic is an ellipse. (Note that a circle has e=0.) If e = 1, the conic is a parabola. If e > 1, the conic is hyperbola. A. The Circle 1. A circle is the set of all points on a plane that are equidistant from a fixed point on the plane. The fixed point is called the center, and the distance from the center to any point of the circle is called the radius.
  • 17. St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 17 x y -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3 3.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2. Equation of a circle a) general form: x 2 + y 2 + Dx + Ey + F = 0 b) center-radius form: (x – h) 2 + (y – k) 2 = r 2 where the center is at (h,k) and the radius is equal to r. 3. Line tangent to a circle A line tangent to a circle touches the circle at exactly one point called the point of tangency. The tangent line is perpendicular to the radius of the circle, at the point of tangency. Exercises For items 1-2, use the illustration on the right. 1. Which of the following does NOT lie on the circle? a. (3,-1) b. (3,0) c. (2,-1) d. (3,-2) 2. What is the equation of the graph? a.   1 3 2    x y b.   1 3 ) 1 ( 2     x y c.   1 3 ) 1 ( 2     x y d.   1 3 ) 1 ( 2     x y B. The Parabola 1. Definition. A parabola is the set of all points on a plane that are equidistant from a fixed point and a fixed line of the plane. The fixed point is called the focus and the fixed line is the directrix. 2. Equation and Graph of a Parabola a) The equation of a parabola with vertex at the origin and focus at (a,0) is y 2 = 4ax. The parabola opens to the right if a > 0 and opens to the left if a < 0. b) The equation of a parabola with vertex at the origin and focus at (0,a) is x 2 = 4ay. The parabola opens upward if a > 0 and opens downward if a < 0. c) The equation of a parabola with vertex at (h , k) and focus at (h + a, k) is (y – k) 2 = 4a(x – h). The parabola opens to the right if a > 0 and opens to the left if a < 0. d) The equation of a parabola with vertex at (h , k) and focus at (h, k + a) is (x – h) 2 = 4a(y – k). e) The parabola opens upward if a > 0 and opens downward if a < 0. f) Standard form: (y – k) 2 = 4a(x – h) or (x – h) 2 = 4a(y – k) g) General form: y 2 + Dx + Ey + F = 0, or x 2 + Dx + Ey + F = 0 3. Parts of a Parabola a) The vertex is the point, midway between the focus and the directrix. b) The axis of the parabola is the line containing the focus and perpendicular to the directrix. The parabola is symmetric with respect to its axis. c) The latus rectum is the chord drawn through the focus and parallel to the directrix (and therefore perpendicular to the axis) of the parabola. d) In the parabola y 2 =4ax, the length of latus rectum is 4a, and the endpoints of the latus rectum are (a, -2a) and (a, 2a). In the figure at the right, the vertex of the parabola is the origin, the focus is F(a,o), the directrix is the line containing ' LL , the axis is the x-axis, the latus rectum is the line containing ' CC .
  • 18. St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 18 The graph of y x 3 16 2   . The graph of (y-2) 2 = 8 (x-3). C. Ellipse 1. An ellipse is the set of all points P on a plane such that the sum of the distances of P from two fixed points F’ and F on the plane is constant. Each fixed point is called focus (plural: foci). 2. Equation of an Ellipse a) If the center is at the origin, the vertices are at ( a, 0), the foci are at ( c,0), the endpoints of the minor axis are at (0,  b) and 2 2 2 c a b   , then the equation is 1 2 2 2 2   b y a x . b) If the center is at the origin, the vertices are at (0,  a), the foci are at (0,  c), the endpoints of the minor axis are at ( b, 0) and 2 2 2 c a b   , then the equation is 1 2 2 2 2   a y b x . c) If the center is at (h, k), the distance between the vertices is 2a, the principal axis is horizontal and 2 2 2 c a b   , then the equation is 1 ) ( ) ( 2 2 2 2     b k y a h x . d) If the center is at (h, k), the distance between the vertices is 2a, the principal axis is vertical and 2 2 2 c a b   , then the equation is 1 ) ( ) ( 2 2 2 2     b h x a k y . 4. Parts of an Ellipse For the terms described below, refer to the ellipse shown with center at O, vertices at V’(-a,0) and V(a,0), foci at F’(-c,0) and F(c,0), endpoints of the minor axis at B’(0,-b) and B(0,b), endpoints of one latus rectum at G’ (-c, a b2  ) and G(-c, a b2 ) and the other at H’ (c, a b2  ) and G(c, a b2 ). a) The center of an ellipse is the midpoint of the segment joining the two foci. It is the intersection of the axes of the ellipse. In the figure above, point O is the center. b) The principal axis of the ellipse is the line containing the foci and intersecting the ellipse at its vertices. The major axis is a segment of the principal axis whose endpoints are the vertices of the ellipse. In the figure, V V' is the major axis and has length of 2a units. c) The minor axis is the perpendicular bisector of the major axis and whose endpoints are both on the ellipse. In the figure, B B' is the minor axis and has length 2b units. d) The latus rectum is the chord through a focus and perpendicular to the major axis. G G' and H H' are the latus rectum, each with a length of a b2 2 . x y O B(0,b ) B’(0,- b) F’(- c,0) F(c,0 ) V’(- a,0) V(a,0 ) ) , ( 2 a b c ) , ( 2 a b c  ) , ( 2 a b c  ) , ( 2 a b c   x y O (-4,0) (4,0) (5,0) ) 5 9 (4, (-5,0) ) 5 9 (4,- ) 5 9 (-4, ) 5 9 (-4,- (0, -3) (0, 3) x y O (12,1) (2,-4) (-8,1) (2,6) (-6,4) (2,1) (8,5) (8,3)
  • 19. St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 19 The graph of 1 9 25 2 2   y x . The graph of 1 25 ) 1 ( 100 ) 2 ( 2 2     y x . 4. Kinds of Ellipses a) Horizontal ellipse. An ellipse is horizontal if its principal axis is horizontal. The graphs above are both horizontal ellipses. b) Vertical ellipse. An ellipse is vertical if its principal axis is vertical. D. The Hyperbola 1. A hyperbola is the set of points on a plane such that the difference of the distances of each point on the set from two fixed points on the plane is constant. Each of the fixed points is called focus. 2. Equation of a hyperbola a) If the center is at the origin, the vertices are at ( a, 0), the foci are at ( c,0), the endpoints of the minor axis are at (0,  b) and 2 2 2 a c b   , then the equation is 1 2 2 2 2   b y a x . b) If the center is at the origin, the vertices are at (0,  a), the foci are at (0,  c), the endpoints of the minor axis are at ( b, 0) and 2 2 2 a c b   , then the equation is 1 2 2 2 2   b x a y . c) If the center is at (h, k), the distance between the vertices is 2a, the principal axis is horizontal and 2 2 2 a c b   , then the equation is 1 ) ( ) ( 2 2 2 2     b k y a h x . d) If the center is at (h, k), the distance between the vertices is 2a, the principal axis is vertical and 2 2 2 a c b   , then the equation is 1 ) ( ) ( 2 2 2 2     b h x a k y 2. Parts of a hyperbola For the terms described below, refer to the hyperbola shown which has its center at O, vertices at V’(-a,0) and V(a,0), foci at F’(-c,0) and F(c,0) and endpoints of one latus rectum at G’ (-c, a b2  ) and G(-c, a b2 ) and the other at H’ (c, a b2  ) and H(c, a b2 ). a) The hyperbola consists of two separate parts called branches. b) The two fixed points are called foci. In the figure, the foci are at ( c,0). c) The line containing the two foci is called the principal axis. In the figure, the principal axis is the x-axis. d) The vertices of a hyperbola are the points of intersection of the hyperbola and the principal axis. In the figure, the vertices are at ( a,0). e) The segment whose endpoints are the vertices is called the transverse axis. In the figure V V' is the transverse axis. f) The line segment with endpoints (0,b) and (0,-b) where 2 2 2 a c b   is called the conjugate axis, and is a perpendicular bisector of the transverse axis. g) The intersection of the two axes is the center of the hyperbola .
  • 20. St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 20 h) The chord through a focus and perpendicular to the transverse axis is called a latus rectum. In the figure, G G' is a latus rectum whose endpoints are G’ (-c, a b2  ) and G(-c, a b2 ) and has a length of a b2 2 . 3. The Asymptotes of a Hyperbola Shown in the figure on the right is a hyperbola with two lines as extended diagonals of the rectangle shown. These two diagonal lines are said to be the asymptotes of the curve, and are helpful in sketching the graph of a hyperbola. The equations of the asymptotes associated with 1 2 2 2 2   b y a x are x a b y  and x a b y   . Similarly, the equations of the asymptotes associated with 1 2 2 2 2   b x a y are x b a y  and x b a y   . The graph of 1 27 9 2 2   y x . The graph of 1 27 9 2 2   x y . PRACTICE EXERCISES Directions: Choose the best answer from the choices given and write the corresponding letter of your choice. For items 1-5, use the illustration on the right. 1. Which of the following are the coordinates of A? a. (1,2) b. (2,1) c. (-3,3) d. (2,-3) 2. What is the distance between points M and T? a. 61 units b. 6 sq. units c. 51 units d. 8 units 3. Which of the following points has the coordinates (-3,-1) a. M b. A c. T d. H 4. Which of the following is the area of the triangle formed with vertices M, A and H? a. 5 sq. units b. 10 sq. units c. 5 units d. 10 units 5. Which of the following is the equation of the line containing points A and T? a. y= 2 b. x=2 c. y+2x=3 d. y-2x+3=0 6. Suppose that an isosceles trapezoid is placed on the Cartesian plane as shown On the right, which of the following should be the coordinates of vertex V? a. (a,b) b. (b+a, 0) c. (b-a,b)d. (b+a,b) 7. The points (-11,3), (3,8) and (-8,-2) are vertices of what triangle? a. Isosceles b. Scalene c. Equilateral d. Right 8. What is the area of the triangle in #7? a. 40.5 sq units b. 41.8 sq units c. 42 sq units d. 46.8 sq units 9. Which of the following sets of points lie on a straight line? a. (2,3), (-4,7), (5,8) b. (-2,1), (3,2), (6,3) c. (-1,-4), (2,5), (7,-2) d. (4,1), (5,-2), (6,-5) 10. If the point (9,2) divides the segment of the line from P1(6,8) to P2(x2,y2) in the ratio r = 7 3 , give the coordinates of P2. x y F’(-6,0) O (-3,0) (3,0) F(6,0) (6,9) (6,-9) x y F’(0,-6) O (0,3) F(0,6) (0,-3) (-9,6) (9,6) 0 3   x y 0 3   x y x 1 2 3 1 2 3 -3 -2 -1 -3 -2 -1 M A T H y x D(a,0) E(b,0) O(0,b) V 0 0
  • 21. St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 21 x y -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3 3.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 x y -30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30 -15 -10 -5 0 5 10 15 x y -30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30 -15 -10 -5 0 5 10 15 x y -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3 3.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 a. (16,–12) b. (–16, 15) c. (14,15) d. (12,–12) 11. Give the fourth vertex, at the third quadrant, of the parallelogram whose three vertices are (-1,-5), (2,1) and (1,5). a. (-3,-2) c. (-3,-4) c. (-4,-1) d. (-2,-1) 12. The line segment joining A(-2,-1) and B(3,3) is extended to C. If BC = 3AB, give the coordinates of C. a. (17,12) b. (15,17) c. (18,15) d. (12,18) 13. The line L2 makes an angle of 60 0 with the L1. If the slope of L1 is 1, give the slope of L2. a. (3 + 2 0.5 ) b. (2 + 2 0.5 ) c. –(2 + 3 0.5 ) d. –(3 + 3 0.5 ) 14. The angle from the line through (-4,5) and (3,m) to the line (-2,4) and (9,1) is 135 0 . Give the value of m. a.7 b. 8 c. 9 d. 10 15. Which equation represents a line perpendicular to the graph of 2x + y = 2? a. y = -0.5x – 2 b. y = –2x + 2 c. y = 2x – 2 d. y = 0.5x + 2 16. Which of the following is the y – intercept of the graph 2x – 2y + 8 = 0? a. -4 b. -2 c. 2 d. 4 17. Which of the following may be a graph of x – y = a where a is a positive real number? a. b. c. d. 18. Write an equation in standard form for a line with a slope of –1 passing through (2,1). a. x + y = –3 b. –x + y = 3 c. x + y = 3 d. x – y = –3 b. For items 19-22, use the illustration on the right. 19. Which of the following are the coordinates of A? a. (1,1) b. (1,-1) c. (-1,1) d. (-1,-1) 20. What is the distance between points A and H? a. 61 units b. 6 sq. units c. 51 units d. 8 units 21. Which of the following points has the coordinates (-2,-2)? a. M b. A c. T d. H 22. Which of the following is the equation of the given graph? a.   2 2   x y . b.   2 2    x y . c.   2 2   x y . d.   2 2    x y . 23. Which of the following is the equation of the line containing points M and T? a. y= 2 b. x=2 c. y-2x-2=0 d. y+2x+2=0 24. What is the shortest distance of y x 8 2  from 3  x ? a. 1 unit b. 2 units c. 3 units d. 8 units 25. Which of the following is a focus of 1 4 12 2 2   x y ? a. (0,-4) b. (-4,0) c. (0,4) d. (4,0) 26. What are the x-intercepts of 1 9 4 2 2   y x ? a. none b. 2  c. 3  d. 4  27. Which of the following is a graph of a hyperbola? a. b. c. d. 28. Which of the following is an equation of an ellipse that has 10 as length of the major axis and has foci which are 4 units away from the center? x y -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3 3.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 y y y y x x x x A H M T
  • 22. St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 22 x y -30 -20 -10 0 10 20 30 -10 0 10 x y -30 -20 -10 0 10 20 30 -10 0 10 a. 1 9 25 2 2   x y b. 1 16 9 2 2   x y c. 1 3 5 2 2   x y d. 1 25 16 2 2   x y For items 29-31, consider the graph on the right. 29. Which of the following is the equation of the graph? a. 2500 25 100 2 2   x y b. 2500 25 100 2 2   y x c. 2500 25 100 2 2   x y d. 2500 25 100 2 2   y x 30. What are the x-intercepts of the graph? a. none b. 2  c. 5  d. 10  31. What kind of figure is shown on the graph? a. circle b. ellipse c. hyperbola d. Parabola 32. Which of the following is the center of the graph shown on the right? a. (0,0) b. (0,10) c. (10,0) c. (0,-10) 33. Which of the following is a focus of the graph shown on the right? a. (0,0) b. (0,10) c. (0,5) c. (0,-10) 34. What is the area of the shaded region? a. 4 units b. 4 square units c. 16 units d. 16 square units LICENSURE EXAMINATION FOR TEACHERS (LET)
  • 23. St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 23 Refresher Course Content Area: MATHEMATICS Focus: ADVANCED ALGEBRA Prepared by: Daisy de Borja-Marcelino Competencies: Show mastery of the basic terms, concepts and equations in Advanced Algebra involving radicals, rational exponents and functions. Solve, evaluate and manipulate symbolic and numerical problems in above areas by applying fundamental principles and processes. KEY IDEAS Some Helpful Tips in Answering the LET 1 Read the question/s or the items carefully and understand what they say. 2 Determine what is/are wanted or what is/are asked for. 3 Find out what is/are given and which data are needed to solve the problem. 4 Reason out what processes (operations) to apply and the order in which they are to be applied. 5 Summarize the problem by means of an open number sentence. 6 Compute carefully. Check each step in the computations. 7 Decide the reasonableness of the result. 8 Check the result by seeing to it that the result satisfies all the conditions of the problem. RATIONAL EXPONENTS If a is a real number and n is any positive integer, the symbol n a denotes the n th power of a. The real number a is called the base and n is called the exponent. In symbols, a a a a an      ... . n factors Examples: a)      4 3 3 3 3 3  or 81. b)      . 2 2 2 2 3 m m m m      c) . 2 1 2 1 2 1 2 1 2 1 4            d)      . 3 . 1 3 . 1 3 . 1 2  e)      math math math  2 . e)      . 2 2 2 m m m  Note that any base raised to the power of 1, is just the base. Moreover, any base raised to the power of 0 is 1, while 0 0 is indeterminate. Examples: a) . 1 90  b) . 4 41  c) (-m) 1 = - m. d) z 0 = 1. e)   1 0 3 2  e op h . f)   1 23 . 38 0   . g)   5 3 2 1 5 3 2 y o j y o j  . h) a a m   4 1 4 1 1 0 . Laws of Exponents If a and b are real numbers and m and n are positive real numbers, then the following are true. n m n m a a a   .   nm m n a a  . If n m  and 0  a , then n m n m a a a   .   n n n b a ab  . If m n  and 0  a , then m n n m a a a   1 . If 0  b , then n n n b a b a        . If 0  a , then 1 0   a a a n n . Examples: a)   . 4 4 6 3 2  b)    . 32 2 2 2 2 5 2 3 2 3     c) (3 x 4 ) 2 = 3 2 x 4 2 . d) . 1 3 3 2 2  e) . 27 3 3 3 3 3 2 5 2 5     f). . 27 1 3 1 3 3 3 3 3 3 5 2 5 2       Exercises 1. In the expression 8m 5 , 5 is called the ________. A. base B. coefficient C. constant D. exponent 2. Evaluate      0 10 8 6 0 14 3 9 0 2 0 10 20 5 25      m n s s n m m m . A. 5 B. 23m 12 n 4 s -2 C. 20 2  m D. undefined
  • 24. St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 24 3. Anthony wrote  4 1 4 3 b a  = ( )4 1 3a +  4 1 4b . Which of the following is his misconception? A. It is possible to factor out the exponent. B. It is possible to distribute exponents over a sum. C. The exponents should be multiplied with the base. D. The coefficient inside the parentheses should be added. 4. Is 2 3 4 3 5         s r equal to ? 9 25 5 6 s r Why or why not? A. Yes, for the exponents inside the parenthesis and the numerical coefficients should be added to 2. B. No, for the exponents inside the parenthesis and the numerical coefficients should be subtracted from 2. C. Yes, for the exponents inside the parenthesis should be added and the numerical coefficients should be raised to 2. D. No, for the exponent inside the parenthesis should be multiplied by 2 and the numerical coefficients should be raised to 2. 5. Explain why 3 12 x x is not equal to x 4 ? A. Because the exponents should be added. B. Because the exponents should be multiplied. C. Because the numerator should be divided by the denominator. D. Because the exponent of the numerator should be subtracted by the exponent of the denominator. 6. Which of the following is the product of x 5 y 3 z and x 2 y 4 z 2 ? A. 2x 10 2y 12 2z 2 B. x 10 y 12 z 2 C. 2x 7 2y 7 2z 3 D. x 7 y 7 z 3 7. Give the product of a 5 and . 11 2 5 3 a a a   A. 2 5 4 55 10 5 a a a   C. a a a 55 10 5 6 3   B. 2 6 4 55 10 5 a a a   D. a a a 55 10 5 5 3   8. Marlon claims that    5 3 2 2 is equal to 8 2 . Is he correct? Why or why not? A. Yes, for the exponents inside the parenthesis and the numerical coefficients should be added to 5. B. No, for the exponents inside the parenthesis should be multiplied by 2 and the numerical coefficients should be raised to 5. C. No, for the exponents should be multiplied. D. Yes, for the exponents should be added. The mentioned laws of exponents also hold when m and n are positive rational numbers. Examples: The following are true if there is no zero denominator. a) 3 3 3 3 3 1 2 1 2 1 2 1 2 1                     . b) 3 7 3 5 3 2 3 5 3 2 m m m m                    . c) 3 1 3 1 3 2 3 1 3 2 5 5 5 5    . d) 7 2 7 3 7 5 7 3 7 5 p p p p    . e)         1 0 3 2 3 2 3 2 3 2     e e e e . f)   12 8 4 4 3 4 2 4 1 4 3 2 3 3 3 y x y x y x      . g)    5 2 5 2 5 2 xy art xy art          . h)          2 3 4 6 4 5 4 11 4 11 4 5 1 1 1 y y y y y y x x x x x     . Negative Exponents If a is a nonzero real number and n is any rational number, then a -n = n a 1 . To simplify algebraic expressions with negative exponents is just to express the given expression into an equivalent quantity where the exponents become positive. Examples: Simplify the following such that they only have positive exponents. a) 2 1 3  b) 4 3 7  c)   4 1 2  m Solution: a) . 3 1 3 2 1 2 1   b) . 7 1 7 4 3 4 3   c)     . 2 1 2 4 1 4 1 m m   Examples: Simplify the following such that they only have positive exponents. Assume nonzero bases and no denominator is zero. a) 4 2 4 16   b) 3 4   m m c) 2  a a d) 3 3   t t
  • 25. St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 25 e) 3 2 3 4 3 4 2 4 16        t a m at m f) 3 1 3 4    h g g m g)  2 1 3 5     h)   2 2   x Solution: a) 4 2 4 16   =      4 2 2 4 4 1 4 4 4 4    . b) 3 4   m m =   m m m m 1 1 3 4 3 4          . c) 2  a a =   3 2 1 2 1 a a a      d) 3 3   t t = 1. e) 3 2 3 4 3 4 2 4 16        t a m at m = . 4 4 16 4 3 3 4 4 3 3 3 4 3 4 2 3 2 3 4 m a t m t a m t m t aa m   f) 3 1 3 4    h g g m =   3 1 3 4 3 1 3 4 1 1 1 h g m h g g m           =   4 3 4 4 3 1 3 m h g m h g    . g)  2 1 3 5     = 2 3 2 5 2 3 2 5 ) 2 1 )( 3 ( ) 2 1 )( 5 (             . h)   2 2   x =  2 2 1  x or    2 2 1   x x or 4 4 1 2   x x . Note that    2 2 1   x x is equal to     2 1 x   2 1  x but 4 4 1 2   x x is not equal to 4 1 4 1 1 2   x x . Whenever the exponent of a base is in rational form b a where b 0, the expression can always be expressed in radical form. RADICALS If n is a positive integer and a is a real number for which n a 1 is defined, then the expression n a is called a radical, and n a = n a 1 . The symbol is a radical sign, the number a is the radicand and n is the index of the radical n a . Examples: a) In the expression 3 5 , the number 3 is called the index and 5 is the radicand. b) The expression 4 1 27 can be written as 4 27 . When a radical notation has no index, it is understood that n=2 or we are going to extract the square roots of the radicand. Examples: a) . 49 49 2  b) . 3 3 3 2 2 1   Simplified radicals An expression with radicals is simplified when all of the following conditions are satisfied. Exponents of the radicand and index of the radical have no common factor except 1. The radicand has no factor raised to a power greater than or equal to the index. All indicated operations have been performed (if possible). No denominator contains a radical. The radicand has no fractions. Radical notation of n m a If a is a real number, m is an integer and n a is a real number, then n m a =  m n a = n m a . Examples: Write each exponential expression using radical notation. a) 3 1 a b) 4 3  m c) 2 3 5 Solution: a) 3 1 a = 3 a . b) 4 3  m = 3 4 ) (  m . c) 2 3 5 = 2 3 5 =  3 2 5 or 3 5 . Examples: Write each radical expression using exponential notation and simplify. a) 22 b) 3 27  c) 3 6 x
  • 26. St. Louis Review Center-Inc-Davao Tel. no. (082) 224-2515 26 Solution: a) 22 = 2 1 22 . b) 3 27  = 3 1 ) 27 ( =   3 3 3 1 3    . c) 3 6 x = 3 6 x = 2 x . If n is an even positive integer, then a a n n = = a  and if n is an odd positive integer then a a n n = . Examples: Simplify each of the following and give all the roots. a) 625 b) 4 81 c) 6 169x d) 3 9 6 27 y x Solution: a) 25 25 625 2    . b) 4 81= 4 4 3 =  3. c) 6 169x =  2 3 2 13 x =  13x 3 . d) 3 9 6 27 y x =     3 3 3 3 2 3 3 y x =3x 2 y 3 . For all real numbers a and b, and positive integers m and n for which the indicated roots are real numbers, the following are true. ( )( ) n n n ab b a = . mn m n a a  . n n n b a b a  where b is not equal to zero. Examples: The following are true. a) . 15 5 3   b) 8 4 2 4 81 81 81 x x x    . c)   6 12 x   12 3 x  . Examples: Simplify each of the following. a) 3 125 8  b) 4 5 243 32y Solution: a)   . 5 2 5 2 5 ) 2 ( 5 8 125 8 3 3 3 3 3 3          b) 4 5 243 32y =     4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 3 2 2 3 81 2 16 y y y y y y         =          4 3 2 3 2 y y =   3 54 2 4 y y  . Operations on Radical Expressions Addition and Subtraction Radicals with the same radicand and the same index are called like radicals. Like radicals are added or subtracted by using the distributive property of real numbers. Moreover, only like radicals can be combined. Examples: a) Give the sum of 3 7 , 3 3 7 , 2 3 7 and 4 3 7 . b) Evaluate 10 15 +3 15 - 15 . c) If the lengths of the sides of a triangle is 24 cm, 6 2 cm and 4cm, give its perimeter. Solution: a) 3 7 +3 3 7 +2 3 7 + 4 3 7 =10 3 7 . b) 10 15 +3 15 - 15 = 12 15 . c) Given a triangle, its perimeter is determined by adding the lengths of its sides. Hence, 24 cm + 6 2 + 4cm = 6 4 cm + 6 2 cm + 4cm = 6 2 cm + 6 2 cm+ 4cm = 6 4 cm + 4cm. Multiplication of Radicals Note that n ab = n a  n b allows multiplication of radicals with the same index. Examples: Give the product of the following in simplest form. Take only the positive roots. a) 8 6   10 9 b)   ) 3 ( 2 3 2 3 3 2 m m m  c) 7 3 ( + ) 8 7 3 ( - ) 8 Solution: a) 8 6   10 9 =      5 216 5 4 54 5 16 54 80 54 10 8 9 6           .