Download Math 2 Lesson Plan - GSE ANALYTIC GEOMETRY

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