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GSE Analytic Geometry-A Week 8: 9/26/2016 – 9/29/2016 Georgia Standards of Excellence: 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. 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. MGSE9-12.G.CO.11 Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. MGSE9-12.G.GPE.4 Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle. 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 Vocabulary: parallelogram Monday Essential Question: What do you know about perpendicular bisectors, angle bisectors, circumcenters, incenters, centroids, orthocenters, and midsegments? Opening: Review Assignment #36, discuss the week’s assessments. Activity: Review for Quiz #4 Closing: Make sure Proof Reference Sheet is current. Assignment #37: p.204-205 Ready to Go On? #1-3,5-12,PARCC Assessment Readiness #1,3-5 Tuesday Essential Question: What do you know about perpendicular bisectors, angle bisectors, circumcenters, incenters, centroids, orthocenters, and midsegments? Activity: Quiz #4, Homework Check #6 Assignment #38: p.288-290 #2-5,11-13,15,17-22 Wednesday Essential Question: What do you know about parallelograms and can you prove theorems about parallelograms? Opening: Review Assignment #38 Activity: Introduce parallelograms and associated theorems. Closing: Add theorems to the Proof Reference Sheet. Assignment #39: p.213-215 #9-12,21-24,27,28,32-42,51-53; p.228-231 #10-13,46,47 Thursday Essential Question: What do you know about parallelograms and can you prove theorems about parallelograms? Activity: Complete parallelogram classwork. Assignment #40: p.242-243 #1-16,18-21 Friday Essential Question: What do you know about quadrilaterals and parallelograms? Opening: Review Assignments #39 and #40 Activity: Quadrilaterals in the Coordinate Plane Closing: Discuss activity Assignment #41: Parallelogram Proofs