Quarter 1: Real Number System,Measurement and Scientific Notation Topic: Scientific NotationTime Frame : 5 daysStage 1: Desired Results/OutcomesContent Standard:The learner demonstrates understanding of the key concepts of scientific notation.Performance Standard:The learner formulates real-life problems involving scientific notation and solves these using a variety of strategies.Essential Understanding(s):Big and small quantities can be expressed conveniently in scientific notation.Essential Question(s):Why are measures of certain quantities expressed in scientific notation? How? Prior Knowledge:Possible Misunderstanding/Anticipated MisconceptionsScientific notations have no uses in real-life situationThere are some steps needed to convert big numbers into scientific notation.All numbers are difficult to expressed in scientific notation.Transfer Goals:Use scientific notation in expressing big numbers in simplest way and solving problems in real life situation. In The learner will know:numbers that are expressed in scientific notation.real life measures where scientific notation is applied.the application of scientific notation to different disciplines.The learner will be able to:express numbers in scientific notation and vice-versa.solve real life problems involving scientific notation.cite real life situations where scientific notation is applied.formulate and solve real life problems involving scientific notation.Stage 2: Assessment EvidenceProduct or Performance Task: You are a member of school workers who are in charge in conducting a survey in determining the number of indigent families in 5 Barangays. Your task is to conduct a survey on the number of indigent families in the said barangay and express the data in scientific notation. Present a data that includes the complete profile of the families such as: number of male, number of female, number of children, number of elder, age, height, weight, number of households and income. You have to convince the panel of evaluators to allocate a higher budget to the barangay that contains the highest population of indigent families.Evidence at the level of understandingLearner should be able to demonstrate understanding scientific notation using the six(6) facets of understanding:Explaining how big and small quantities are expressed in scientific notation. Criteria: Thorough Accurate JustifiedInterpreting meaning of scientific notation by considering the size of an atom, distances of planets, etc. Criteria: Illustrative Meaningful JustifiedApplying a variety of techniques in posing and solving daily life problems involving very large or very small numbers expressed in scientific notation. Criteria: Appropriate Practical AccurateManifesting self-knowledge by showing usefulness of scientific notation in solving problem. Criteria: Reflective ResponsiveShowing empathy to persons who encounter difficulties in expressing big and small quantities. Criteria: Sensitive Perceptive Developing perspective on other ways to express big and small numbers. Criteria: Appropriate PracticalEvidence at the level of performanceAssessment of problems formulated based on the following suggested criteria: real-life problems problems involve real numbers using scientific notation problems are solved using a variety of strategiesb Rubrics for assessment of problems formulated and solvedStage 3 : Learning PlanTeaching/Learning sequence; Use of Three IsINTRODUCTION OF ESSENTIAL QUESTION:1. Present to the class a picture of the solar system. Situation A: According to the astronomers, the distance from Earth to Mars is approximately 58,968,000,000 light years. (provide an illustration of the solar system) Questions: A. What unit measure is used to measure the distance of the Earth to Mars? B. What is the given distance? C. What have you noticed about the given distance? D. Is there any other way to express these numbers in other form? How/ E. What is the importance of expressing this number in scientific notation?INTERACTION WITH DIFFERENT RESOURCES TO ANSWER EQ:2. Say: In the next activity we will see how scientific notation is useful in real life. Then provide the students a reading material regarding scientific notation. Let them read it silently or by group.Activity 1 Scientists deal with very small numbers like the size of an atom or very large numbers like 602,300,000,000,000,000,000,000, which is the approximate number of atoms in one gram of hydrogen. These numbers are hard to work with or to remember. Besides, there are no names for some of them. The given number above is more easily understood and remembered, as well as read, when written as 6.023x1023. This way of writing numbers is called scientific notation. 3. After reading the context, group the students into 5, then let them answer the following questions.Describe the numbers that a scientist dealing with.What are the disadvantages/difficulties dealing with those numbers?Compare 602,300,000,000,000,000,000,000 from 6.023x1023?What kind of number is 602,300,000,000,000,000,000,000? How about 6.023x1023?How important is scientific notation?4. Ask one representative from each group to share their answers.5. In the Activity 1, swe noticed that a very small numbers or very large numbers can be expressed in scientific notation. Then ask, how will you know that a number is written in scientific notation?6. Ask the students to work on activity 2 into groups. Use the same groups in activity 1.Activity 2Determine if the number is written in scientific notation or not:53.02 x 1012 4. 401.73 x 1047. 7 x 101510. 10. 12 x 1076. 4 x 1085. 642. 08 x 10-138. 5.23 x 10-107.8 x 10-56. 8.5 x 1069. 9.001 x 108 7. Let the students compare the numbers written in scientific notation from those that are not. Then ask them to write their observations on the board. Correct misconceptions if any exist.8. Ask the students the following questions:when is a number written in scientific notation?How do we write numbers in scientific notation?9. Say: The concept of scientific notation is more meaningful and useful if you know how to write decimal numbers into scientific notation. Ask the students to work on activity 3. You may also ask the students to access this website http.//www.janus.astro.umd.edu/cgi_bin/astro/scinote.p/ for their independent study.Activity 3Express the following in scientific notation:Express the following in decimal numbers:0.8741. 1.36 x 10593 000 0002. 8.27 x 10-40.0000068263. 9.75 x 10102 872 000 000 0004. 7.59 x 10-70.004015. 6. 03 x 101510. Check the answers of the students. Correct misconceptions or wrong interpretation. Explain also how they arrived on their answers.11. After answering activity3, ask the students to explain the principles involved in moving the decimal point to the right or to the left. Let them formulate the steps in writing numbers in scientific notation and vice versa. 12. Provide another set of activities to strengthen their ability.13. Tell the students that in the next activity, they will apply their understanding they have acquired in scientific notation. Ask also the students to visit this website http://www.edinformatics.com/math_science/scinota.htmINTEGRATION OF FINDINGS WITH EU AND APPLICATION OF EU:xConcept Map10n1 ≤ n < 10A number is written in scientific notation if it is expressed asSCIENTIFIC NOTATIONTo convert standard form into scientific notation Example:Steps:0.000075Move the decimal point to the right or to the left7.5Drop all zeroes on the right or left of the number (except zeroes between non-zero digits)7.5 x 10-5Multiply the result by 10VALUES INTEGRATION: The students will do some reflections relating their selves to the concepts and skills gained in learning scientific notation.*Do the performance task assigned to the students
Standards and Criteria for Success<br />Your written and oral report will be evaluated using the following rubric.<br />CriteriaDescriptive RatingNumerical RatingWritten report is thorough, coherent and completely accurate, including the facts, concepts, mechanics and computation.Oral report is exceptionally clear and easy to follow.ExcellentWritten report is substantial and generally accurate. Minor inaccuracies do not affect the overall results.Oral report is generally clear and able to follow.SatisfactoryWritten report is inaccurate and numerous errors detract from the result.Oral report lacks clarity and difficult to follow.Needs ImprovementWritten report contains major inaccuracies and significant errors thorough.Oral report is unclear and impossible to follow.Unsatisfactory<br />CRITERIA<br />5432154321543211. Explain<br />Thorough<br />Accurate<br />Justified<br />Total______<br />5432154321543212. Interpret<br />Illustrative<br />Meaningful<br />Justified<br />Total______<br />3. Apply<br />543215432154321<br />Appropriate<br />Practical<br />Accurate<br />Total______<br />4. Self-knowledge<br />5432154321<br />Reflective<br />Responsive<br />Total______<br />5. Empathy<br />5432154321<br />Sensitive<br />Perceptive<br />Total______<br />6. Perspective<br />5432154321<br />Appropriate<br />Practical<br />Total______<br />Prepared by:<br />REGINA LIANGCO<br />JONALYN ADDATU<br />ANGELITA CASTRO<br />MA. CHERIE CRISTOBAL<br />MARREN MAE CALALANG<br />GLAIZA ANN BAYAUA<br />NENETTE TAMAYO<br />MICHAEL JAKE GARCIA<br />JIUCYLEN SANCHEZ<br />JENNILYN SACLOLO<br />
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