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Download Math 2 Lesson Plan - GSE ANALYTIC GEOMETRY
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Transcript
GSE Analytic Geometry-A Week 5: 9/5/2016-9/9/2016 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°. 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: note sheets, graphic organizers, proof reference sheet, collaborative groups, constructions Vocabulary: translation, rotation, reflection, dilation, isometry, rigid transformation, scale factor, Triangle Sum Theorem, corollary, Exterior Angle Theorem, Third Angles Theorem, congruent polygons, SSS, SAS, ASA, AAS, HL, CPCTC Monday – NO SCHOOL – Labor Day Tuesday Essential Question: Can I construct parallel and perpendicular lines? Opening: Review Assignments #19-21. Activity: Review materials for constructions. Demonstrate methods for constructing parallel and perpendicular lines. Closing: Complete U1A9 Assignment #22: p.104 #1-10; p.105 #1,3 Wednesday Essential Question: How can you use properties of transformations to determine whether figures are congruent? Opening: Homework Check 4, Review Assignment #22 Activity: Review translation, rotation, and reflection. Introduce dilation. Introduce isometry, rigid transformation, and scale factor. Closing: Complete Ticket Out the Door Assignment #23: Explorations in Core Math p.68 Thursday Essential Question: What are some theorems about the measures of angles in triangles? Opening: Review Assignment #23. Activity: Discuss and prove the Triangle Sum Theorem. Define corollary. Discuss the angles of a right triangle. Introduce the corollary the acute angles of a right triangle are complementary. Review equiangular, Introduce the corollary the measures of each angle of an equiangular triangle is 60°. Introduce and use the Exterior Angles Theorem and Third Angles Theorem. Closing: p.120 Think and Discuss Assignment #24: p.121-124 #4-24,26,41-42 Friday Essential Question: How can you use corresponding sides and corresponding angles to show that triangles are congruent? Opening: Review Assignment #24 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 #25: p.128-129 #2-11,13-18,23,25