Download Math 2 Lesson Plan - GSE ANALYTIC GEOMETRY

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