Download Week 10 3.6.17-3.10.17 - GSE ANALYTIC GEOMETRY

GSE Analytic Geometry-A
Week 10: 3/6/2017 – 3/10/2017
Georgia Performance Standards:
• verify experimentally with dilations in the coordinate plane
• use the idea of dilation transformations to develop the definition of similarity
• determine whether two figures are similar
• use the properties of similarity transformations to develop the criteria for proving similar triangles
• use AA, SAS, SSS similarity theorems to prove triangles are similar
• use triangle similarity to prove other theorems about triangles
• using similarity theorems to prove that two triangles are congruent
• prove geometric figures, other than triangles, are similar and/or congruent
• use descriptions of rigid motion and transformed geometric figures to predict the effects rigid motion has on figures in the coordinate
plane
• know that rigid transformations preserve size and shape or distance and angle; use this fact to connect the idea of congruency and
develop the definition of congruent
• use the definition of congruence, based on rigid motion, to show two triangles are congruent if and only if their corresponding sides
and corresponding angles are congruent
• use the definition of congruence, based on rigid motion, to develop and explain the triangle congruence criteria; ASA, SSS, and SAS
• prove theorems pertaining to lines and angles
• prove theorems pertaining to triangles
Standards for Mathematical Practice:
1. Make sense of problems and persevere in solving
them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the
reasoning of others.
4.
5.
6.
7.
8.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning
Differentiation Strategy(ies): Geometry Reference Book
Vocabulary: similarity, SSS~, SAS~, AA~
Essential Question: What do I know about similarity and parallelograms?
Activities: Use triangle similarity theorems, discover and use properties of parallelograms.
Monday:
Assignment #34: Triangle Similarity 1
Tuesday:
Assignment #35: Triangle Similarity 2
Wednesday:
Assignment #36: Parallelograms 1
Thursday:
Assignment #37: Parallelograms 2
Friday:
Assignment #38: Parallelograms 3
Do you have GRIT?