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Detailed lesson plan sss congruence postulate

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Here is the improved and edited detailed lesson plan with a subject matter SSS Congruence Postulate. I uploaded the old version and now I upload the edited one. you can always download this one..maybe it could help you.

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Detailed lesson plan sss congruence postulate

  1. 1. Gov. Alfonso D. Tan College Teacher Education Department Maloro, Tangub City Demonstrator : Elton John B. Embodo Subject Matter : SSS (Side-Side-Side) Congruence Postulate Cooperating School : Sta. Maria National High School Critic Teacher : Mr. Roland B. Amora Principal : Mrs. Efleda D. Enerio
  2. 2. I. Objectives: At the end of the lesson, students are expected to: a. complete the congruent marks to illustrate that the triangles are congruent through SSS Congruence Theorem; b. match the given sides of triangles to show that the triangles are congruent through SSS Congruence Postulate; c. describe the importance of equality in the society. II. Subject Matter: SSS (Side-Side-Side) Congruence Postulate Reference: Mathematics Learner’s Module for Grade 8 page (357) Skills: drawing, analyzing and solving Values: unity and cooperation III. Materials: ruler, pencil, bond paper and cardboard IV. Procedure: 4A’s Method Teacher’s Activity Students’ Activity A. Preparation a. Review (prayer) (greetings) (announcing of classroom rules) (checking of attendance) (collecting of assignment) Before we proceed to our new lesson for today, let’s have first a review about our lesson last meeting What did we discuss last meeting? Yes Joyce! Very good! Who can recall what ASA Congruence Postulate is? Yesterday, we discussed about ASA Congruence Postulate.
  3. 3. Teacher’s Activity Students’ Activity Yes Evan! Absolutely! Who wants to go to the board and illustrate the ASA Congruence Postulate? Yes Rodan! Very good! The ABC and XYZ are congruent since ,A X   AC XZ and C Z   and it refers to ASA Congruence Postulate. a. Motivation Now class, I have here two triangles made from cardboard material. One is colored blue and the other one is colored yellow. Class, do you know on how to determine the congruence of these two triangles colored blue and colored yellow by dealing only on their sides not the angles? ASA Congruence Postulate states that, “If the two angles and the included side of one triangle are congruent to the corresponding two angles and the included side of another triangle, then the triangles are congruent. (student does as told) No, Sir! A B C X Y Z
  4. 4. Teacher’s Activity Students’ Activity B. Activity So be with me this morning as I’ll discuss to you the “SSS Congruence Postulate.” Everybody read! a. Statement of the Aim *complete the congruent marks to illustrate that the triangles are congruent through SSS Congruence Postulate; *match the given sides of triangles to show that the triangles are congruent through SSS Congruence Postulate; * describe the importance of equality in the society. Now, I’ll group you into 4 groups and form a circle with your group. All you have to do class is to draw the desired figure through the following procedures being flashed on the screen. Do you get me class? When you are already finished, you have to say with action, “Clap, clap, clap Champion”! The group which can finish first will be the winner and will receive a secret price. I’ll give you five minutes to do it and your time will start now. “SSS Congruence Postulate” Yes Sir. Students do as told.
  5. 5. Teacher’s Activity Students’ Activity C. Analysis I want somebody from group 1 to draw their figure on the board. Yes Lovely Is there somebody from group 2 to draw their figure on the board? Yes Apple Is there any representative from group 3 to discuss the work of group 1? Yes Adrian How about from group 4 to discuss the work of the group 2. Yes Rodan Very good! Let’s name the other triangle as OMN . Do the following in your group: (student does as told) (student does as told) (student does as told) (student does as told) 1. Draw a straight horizontal line segment and name it as ST having a length of 15cm. 2. On the Point S of the line segmentST , draw a vertical line segment and name it as SU having a length of 20cm. 3. Connect the point U and T to form a new diagonal line segment named UT having a measure of 25cm. 4. Name the newly formed triangle as STU and indicate the measures of the three sides of STU .
  6. 6. Teacher’s Activity Students’ Activity What side of STU corresponds with the side MO of MNO ? Yes Aaron Very good! Since, sides MO and SU are corresponding sides, what then have you observed about their measures? Yes Cheyenne That’s right If they have the same measure, then how are we going to describe them? Yes Annie That’s correct! What side of STU corresponds with the side MN of MNO ? Yes Sunshine Very good! How are you going to describe the two corresponding sides: MN and ST ? Yes Panfy Exactly! So now, how are you going to describe the last pair of sides; UT and NO ? It is the side SU . SU and MO have the same measure. The two sides are congruent. It is the side ST . MN and ST are corresponding and congruent sides because they have the same measure. U S T O M N 20cm20cm 25cm 25cm 15cm 15cm
  7. 7. Teacher’s Activity Students’ Activity Yes Ellajane Absolutely! D. Abstraction Based from the information, can we now determine that the STU and MNO are congruent? Then, why did you say “yes”? Any idea? Yes Evan! Amazing! Based from Evan’s answer, how are you going to state the SSS (Side-Side-Side) Congruence Postulate? Yes, Lovely Exactly! Who else? Yes Sunshine Very good! Now, how are you going to illustrate the SSS Congruence Postulate? Who wants to volunteer to go to the board and illustrate the SSS Congruence Postulate? UT and NO are corresponding sides and they are also congruent because they have the same measures, both of which is 25cm. Yes Sir We can now determine that the STU and MNO are congruent because the three sides of STU are corresponding and congruent to the three sides of MNO . SSS Congruence Postulate If the three sides of a traingle are conrresponding and congruent to the three sides of the other triangle, th the two triangles are congruent. SSS Congruence Postulate If the three sides of a traingle are congruent to the three sides of another triangle, then they are congruent.
  8. 8. Teacher’s Activity Students’ Activity Yes Adrian Very good! For your better understanding, here is now the exact statement of the SSS Congruence Postulate. Everybody read! Values Integration A while ago class, we’ve discussed about SSS Congruence Postulate and we were able to determine the Congruence of triangles through this certain congruence Postulate. Class, have you noticed the word congruence? What word can you associate with the term, congruence class? That’s right! Student does as told. SSS (Side-Side-Side) Congruence Postulate If the three sides of one triangle are congruent to the corresponding three sides of another triangle, then the triangles are conguent. Example: IfOT UN ,OS PN and ST UP then OST PNU   . Yes sir It is similar with the word equality, sir. T S O N P U
  9. 9. Teacher’s Activity Students’ Activity So, class how important is equality in the society? Yes Janniah! You have the idea! Class, what if one family needs more remedy from the government than the other families, should the government give more remedy to that certain family? Why did you say yes? Yes, Sunshine! That’s right! Let me show you this picture to you. Your answers are related to this picture. So it is not enough that every family receives equal amount of remedy from the government when one family needs more than the other do. So, to make them more equal, the government should give more remedy to the family which needs more. For me, equality is very important in order for the people in the society to be equal. In terms of benefits from the government, whenever a family receives remedy from the governement, the other families will also receive. In that way, they will be equal. Yes Sir To make every family fair, the government should give more remedy to certain family which needs more help than the other families.
  10. 10. Teacher’s Activity “Equality has become synonymous with “levelling the playing field.” So let’s make equity synonymous with “more for those who need it.” Do you get me class? E. Application How important are congruent triangles in real world class? How are they being applied? Yes Evan! Amazing! What a nice answer! Activity 1 Directions: Complete the congruent marks of the following pairs of triangles to illustrate that they are congruent through SSS Congruence Postulate. 1. 2. Students’ Activty Yes Sir Traingles are ver important since they are useful in constructing geometric structures like bridges, houses, hospitals, buildings and other establishements that involve triagles. They served as the basic foundation to make the structures strong, balance and safe.
  11. 11. Teacher’s Activity 3. 4. 5. Students’ Activity
  12. 12. 1. e 2. d 3. c 4. b 5. a Teacher’s Activity Students’ Activity V. Evaluation Directions: Match the given sides in Column A to their corresponding side in column B to show that the following pairs of triangles are congruent through SSS Congruence Postulate. Column A Column B 1. ABC  8 ,AB cm 9 ,BC cm 12AC cm DEF  8DE cm , ?,EF  12DF cm .) 25 2a cm   2. GHI  7 ,GH cm 6 ,HI cm ?GI  JKL  7 ,KJ cm 6 ,KL cm 8JL cm 90 . 15 3 b cm      3. MNO  ?,MO  12NO cm , 14MN cm PQR  10 ,PR cm 12 ,PQ cm 14QR cm 24 . 2 2 c cm      4. STU  18 ,SU cm 17 ,TU cm 15ST cm VWX  18 ,VX cm 17 ,WX cm ?VW  64 . 8 d cm      5. YZA  5 ,YZ cm ?,AY  9ZA cm BCD  5 ,CD cm 7BC cm 9BD cm VI. Assignment Directions: In a one-half crosswise, prove that XAY and FEG are congruent through SSS Congruence Postulate. Give at least three statements with corresponding reasons. Make it in a tabular form. Pass it next meeting.  . 2 10 11e cm  

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