Mathematics - Grades 9 - 12

Geometric and Spatial Relationships

1. Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships

A. Describe and use geometric relationships

N/A

Code	GLE	Standard	Goal
a.i	solve problems involving angle relationships (supplementary, complementary angles) and Pythagorean Theorem	1,5	3.4,4.1

B. Apply geometric relationships

N/A

Code	GLE	Standard	Goal
a.i	apply geometric properties and relationships, such as similarity, to solve multi-step problems in 2 dimensions	4	3.6

2. Specify locations and describe spatial relationships using coordinate geometry and other representational systems

A. Use coordinate systems

N/A

Code	GLE	Standard	Goal
a.i	solve problems related to two-dimensional objects by finding the distance on a Cartesian plane	2	1.6

3. Apply transformations and use symmetry to analyze mathematical situations

A. Use transformations on objects

N/A

Code	GLE	Standard	Goal
a.i	represent translations, reflections, rotations, and dilations of objects in the coordinate plane	5	1.10

B. Use transformations on functions

N/A

Code	GLE	Standard	Goal
a.i	translate and reflect linear functions	1	3.3

4. Use visualization, spatial reasoning and geometric modeling to solve problems

A. Recognize and draw three-dimensional representations

N/A

Code	GLE	Standard	Goal
a.i	draw and use vertex and edge graphs or networks to find optimal solutions	2	3.6

B. Draw and use visual models

N/A

Code	GLE	Standard	Goal
a.i	draw or use visual models to represent and solve problems	2	1.6,1.10