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