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Modified Geometry Unit 4 Plans Triangle Congruence Kate Green Massachusetts State Frameworks: G-CO.7: Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. G-CO.8: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. G-CO.10: Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180; base angles of isosceles triangles are congruent. Key Knowledge: Identify and classify triangles by angles and sides Apply the angle sum and exterior angle theorems CPCTC Use the SSS, SAS, ASA, AAS, and HL postulates to test whether triangles are congruent Essential Questions: What are the relationships between the interior and exterior angles of a triangle? How do you identify corresponding parts of congruent triangles? What conditions must be true in order to prove two triangles congruent? What are the properties of an isosceles triangle? o How do they compare to the properties of equilateral triangles? Daily Lesson Plans: DAY 1: Triangles and the Angle Sum Theorem Objective: To classify triangles; to solve problems by applying the Angle Sum Theorem. Warm up Review homework Review Tests Board Notes: Classifying Triangles Board Work Examples Board Work Board Notes: Angle Sum Theorem Example/Board Work Homework: Worksheet 4.1 DAY 2: Exterior Angle Theorem Objective: To solve problems by applying the Exterior Angle Theorem. Warm up Review homework Board Work: Angle Sum Theorem Board Notes: Exterior Angle Theorem Examples Board Work Homework: Worksheet 4.2 DAY 3: Practice with Angle Sum Theorem and Exterior Angle Theorem Objective: To practice solving problems using the Angle Sum and Exterior Angle Theorems. Warm up Review homework Index Card Activity Homework: Worksheet 4.3; study for a quiz next class DAY 4: Corresponding Parts of Congruent Triangles Objective: To identify congruent triangles and label corresponding parts of congruent triangles. Warm up Review homework Quiz: Classifying Triangles, Angle Sum Theorem, Exterior Angle Theorem Board Notes: Congruent Triangles Examples Board Work Homework: Worksheet 4.4 DAY 5: Triangle Congruence: SSS and SAS Objective: To determine if triangles are congruent using the SSS and SAS methods. Warm up Review homework Review Quizzes Board Notes: SSS and SAS Examples Board Work Examples Homework: Worksheet 4.5 DAY 6: Triangle Congruence: ASA and AAS Objective: To determine if triangles are congruent using the ASA and AAS methods. Warm up Review homework Board Notes: ASA and AAS Examples Board Work: Combining All Methods Homework: Worksheet 4.6 DAY 7: Triangle Congruence: HL Objective: To determine if triangles are congruent using the HL method. Warm up Review Homework Board Notes: Right Triangles Board Notes: HL Congruence Examples Board Work Partner Work Homework: Worksheet 4.7; study for a quiz next class DAY 8: Isosceles Triangles Objective: To use the properties of isosceles triangles to solve problems. Warm up Review Homework Quiz: Triangle Congruence Board Notes: Isosceles Triangles Board Notes: Isosceles Triangle Theorem Examples Board Work Homework: Worksheet 4.8 DAY 9: Review Day Objective: To review all unit 4 concepts to prepare for a unit test Warm up Review Homework Review Quizzes Review Activity: Khan Academy Practice Homework: Worksheet 4.9; study for a test next class DAY 10: Test Day Warm up Review Homework Test Homework: Worksheet 4.10