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GSE Analytic Geometry-A Week 6: 9/12/2016 – 9/16/2016 Common Core Georgia Performance Standards: MCC9-12.G.CO.10 Prove theorems about triangles. Theorems include: measure of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. MCC9-12.G.CO.12 Make formal geometric constructions with a variety of tools and methods. Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a segment; and constructing a line parallel to a given line through a point not on the line. 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: Proof Reference Sheet, Lesson Notes, Patty Paper Vocabulary: SSS, SAS, ASA, AAS, HL, CPCTC, isosceles, equilateral Monday Essential Question: What information about two triangles allows you to conclude the triangles are congruent? Opening: Review Assignment #25. Activity: Introduce SSS, SAS, ASA, AAS, and HL as methods to prove triangles congruent. Closing: Add postulates and theorems to Proof Reference Sheet. Assignment #26: U1A10 Tuesday E Essential Question: If you know two triangles are congruent, what can you conclude about their corresponding angles and sides? Opening: Homework Check #5, Review Assignment #26. 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 #27: U1A11 Wednesday Essential Question: What special relationships exist among the sides and angles of isosceles and equilateral triangles? Opening: Review Assignment #27. Activity: Review the definition and properties of isosceles and equilateral triangles. Present the Isosceles Triangle Theorem, Converse of the Isosceles Triangle Theorem, and equilateral triangle corollaries. Closing: Add theorems and corollaries to Proof Reference Sheet. Assignment #28: p.166-169 #3-10,13,14,16-18,22-25,33,34 Thursday Essential Question: How can you construct a regular polygon? Opening: Review Assignment #28 Activity: Construct regular triangles, quadrilaterals, and hexagons Closing: Review all constructions. Assignment #29: p.172-173 Ready To Go On? #1-4,7; PARCC Assessment Readiness #1-3 Assignment #30: Have Student Summary Report and (if applicable) Deficiency Report signed by a parent or guardian and return it to class Friday 9/16/16. Friday Essential Question: What do you know about triangles, proving triangles congruent, and constructions? Activity: Quiz #3 Assignment #31: Congruent Triangle Proof Review