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GSE Analytic Geometry-A Week 7: 2/15/2016 – 2/19/2016 Common Core Georgia Performance Standards: MCC9-12.G.CO.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints. CC9-12.G.CO.10 Prove theorems about triangles. Theorems include: measure of interior angles of a triangle sum to 180°. Standards for Mathematical Practice: MP 1 Make sense of problems and persevere in solving them. MP 2 Reason abstractly and quantitatively. MP 3 Construct viable arguments and critique the reasoning of others. MP 4 Model with mathematics. MP 5 Use appropriate tools strategically. MP 6 Attend to precision. MP 7 Look for and make use of structure. MP 8 Look for and express regularity in repeated reasoning. Differentiation Strategies: Discovery, Proof Reference Sheet, Lesson Notes Vocabulary: Triangle Sum Theorem, corollary, Exterior Angle Theorem, Third Angles Theorem, congruent polygons, SSS, SAS, ASA, AAS, HL, CPCTC Monday No School – President’s Day Tuesday Essential Question: How can you use corresponding sides and corresponding angles to show that triangles are congruent? Opening: Homework Check #4, Review Assignment #22 Activity: Define congruent polygon. Discuss corresponding parts. Practice naming polygons and corresponding parts. Use corresponding parts to solve problems. Prove triangles are congruent. Closing: p.127 Think and Discuss #2 Assignment #23: p.128-129 #2-11,13-18,23-25,30-34 Wednesday Essential Question: What information about two triangles allows you to conclude the triangles are congruent? Opening: Review Assignment #23. Activity: Introduce SSS, SAS, ASA, AAS, and HL as methods to prove triangles congruent. Closing: Add postulates and theorems to Proof Reference Sheet. Assignment #24: U1A10 Thursday – QUIZ!!!!! Essential Question: Opening: Activity: Closing: Assignment Friday Essential Question: If you know two triangles are congruent, what can you conclude about their corresponding angles and sides? Opening: Review Assignment #24. Activity: Review SSS, SAS, ASA, AAS, and HL. Review corresponding parts of congruent triangles. Develop the idea that if two triangles can be proven congruent with a limited amount of information, all sides and angles can be said to be congruent. Closing: Practice writing proofs. Assignment #25: U1A11