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Assignment 3: Name: VICENTE, ROSALIA ALCANTARA School: Ernesto Rondon High School Part 1: 10 Learning objects (LO) Title of LO Short description 1.Coordinate Plotting points on a graph 2. Triangle Sum angles in a Triangle Pythagorean Theorem useful 4. Coordinate Find the distance between two points useful 5. Angle Animation to show angle bisector useful 6. Triangle Congruence 2 useful 7. Triangle Congruence 3 useful 8. Triangle congruence 4 useful 9. Triangle Congruence 5 useful 10. Triangle Congruence 6 useful 3. Triangle Useful or not useful useful useful If useful, describe an activity how you can use it This can be used to get the students recognize the use of Cartesian coordinate plane in plotting points and identifying the points and its coordinates on it. This can be used to illustrate that the sum of the angles of triangle is 1800. This can be used to prove and strengthen that the theorem really works in all right triangles. This can be used as an application of the formula in getting and showing the distance or length of two points in a coordinate plane. This can be used to show how angle bisector be constructed and also to strengthen the students’ knowledge on Angle Bisector. This can be used as an illustration in proving the ASA Triangle Congruence Theorem This can be used as an illustration in proving the HyL Right Triangle Congruence Theorem This can be used as an illustration in proving the SAS Triangle Congruence Theorem This can be used as an illustration in proving that the SSA Triangle Congruence does not guarantee congruence between two triangles. This can be used as an illustration in proving the SSS Triangle Congruence Theorem Part 2: LESSON PLAN SUBJECT: Mathematics TOPIC: Geometry TITLE: Congruent Triangles Theorem (SSS) LEVEL OF STUDENTS: Third Year Secondary level TIME REQUIRED: 50 minutes KNOWLEDGE REQUIRED BEFORE THIS LESSON: 1. Properties of Real Numbers 2. Definition of Congruent Triangles OBJECTIVES Students at the end of the lesson will be able to: a. state the equivalence relation for segments and angles, b. use SSS Congruence Postulate to show triangle congruence, and c. develop cooperation among the group and use time wisely in doing the task. LESSON PROPER: Time Introduction What teacher is doing What students are doing a. Teacher will help the students a. Students must be able to give to recall the properties of real the following: numbers. List down the 1.Reflexive Property: properties on the board. a=a 2.Symmetric Property: If a = b, then b = a 3.Transitive Property: If a = b, and b = c, then a = c b. Reviews the definition of b. Students must be able to give congruent triangles. Place two the definition of congruent physical models of triangles on triangles, label the vertices of the board. Call on students to two triangles and list down the label the vertices. Using these corresponding parts of two figures let the students list congruent triangles. down the corresponding congruent parts. Activity Conclusions Gives each student a copy of Let the students do the the worksheet. During the activity worksheet in group. (4 members in the teacher will guide the students each group) in order to assure that they are on the right tract. a. The teacher assists the students a. Students can present their in presenting their group results; share their findings works. with their classmates. b. The teacher leads the students b. Students have to state the SSS by using the applet for Congruence Theorem Triangles – Congruence 6 showing the SSS Congruence Theorem to see that the two triangles are congruent based on the conditions that the three sides of one triangle are congruent to the three corresponding sides of the other triangle. Assessment And follow-up. Asks the students to bring out Let the students answer the and open their reference book on a exercises given on the Geometry certain page that will surely help Workbook the students understand further the lesson. Worksheet: Directions: Work as a group cooperatively. Do the worksheet as indicated. 1. Draw Triangle TUE on a piece of paper. 2. On another sheet, draw Triangle WED such that TU ≡ WE, UE ≡ ED and TE ≡ WD. 3. Using a sheet of patty paper trace ∟W, ∟E, ∟D; and put ∟W over ∟M; ∟E over ∟O, and ∟D over ∟N. What relationship can you give between the pair of angles? 4. Cut the triangular regions and compare by placing WED upon MON. What have you noticed? List down all the observations you make. 5. Give conclusion about the relationship between two given triangles.