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Transcript
GSE Analytic Geometry-A
Week 7: 2/15/2016 – 2/19/2016
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°.
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: Discovery, Proof Reference Sheet, Lesson Notes
Vocabulary: Triangle Sum Theorem, corollary, Exterior Angle Theorem, Third Angles Theorem, congruent polygons, SSS, SAS, ASA, AAS, HL,
CPCTC
Monday
No School – President’s Day
Tuesday
Essential Question: How can you use corresponding sides and corresponding angles to show that triangles are congruent?
Opening: Homework Check #4, Review Assignment #22
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 #23: p.128-129 #2-11,13-18,23-25,30-34
Wednesday
Essential Question: What information about two triangles allows you to conclude the triangles are congruent?
Opening: Review Assignment #23.
Activity: Introduce SSS, SAS, ASA, AAS, and HL as methods to prove triangles congruent.
Closing: Add postulates and theorems to Proof Reference Sheet.
Assignment #24: U1A10
Thursday – QUIZ!!!!!
Essential Question:
Opening:
Activity:
Closing:
Assignment
Friday
Essential Question: If you know two triangles are congruent, what can you conclude about their corresponding angles and sides?
Opening: Review Assignment #24.
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 #25: U1A11