Download Week 5 (February 1st

GSE Analytic Geometry-A
Week 5: 02/01/2016 – 02/05/2016
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 5 Use appropriate tools strategically.
MP 2 Reason abstractly and quantitatively.
MP 6 Attend to precision.
MP 3 Construct viable arguments and critique the reasoning of others.
MP 7 Look for and make use of structure.
MP 4 Model with mathematics.
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
Essential Question: How can you prove and use theorems about perpendicular lines?
Opening: Review Assignment
Activity: Define coplanar, perpendicular bisector, distance from a point to a line. Introduce the following theorems:
(1) If two intersecting lines form a linear pair of congruent angles, then the lines are perpendicular. (2) Perpendicular
Transversal Theorem. (3) If two coplanar lines are perpendicular to the same line, then the two lines are parallel to
each other.
Closing: Add the day’s theorems to the Proof Reference Sheet.
Assignment #14: p.99-102 #1-4,6,7,10-15,31-34
Tuesday - QUIZ
Essential Question: What are some theorems about the measures of angles in triangles?
Opening: Review Assignment .
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 : p.121-124 #4-24,26,41-44
Wednesday
Essential Question: What are some theorems about the measures of angles in triangles?
Opening: Review Assignment .
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 : p.121-124 #4-24,26,41-44
Thursday
Essential Question: How can you use corresponding sides and corresponding angles to show that triangles are
congruent?
Opening: Review Assignment
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 : p.128-129 #2-11,13-18,23-25,30-34
Friday
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 : U1A10