**CHALLENGE #5: IMPACT GEOMETRY**

**SPECIFIC STANDARDS ADDRESSED IN DEEP IMPACT MISSION CHALLENGE from Principles and Standards for School Mathematics (NCTM)**

**Algebra**
*Represent and analyze mathematical situations and structures using algebraic symbols*

- Grades 6-8 - Use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships
- Grades 9-12 - Use symbolic algebra to represent and explain mathematical relationships

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

- Grades 6-8 - Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship
- Grades 9-12 - Use trigonometric relationships to determine lengths and angle measures

**Measurement**
*Apply appropriate techniques, tools, and formulas to determine measurements*

- Grades 6-8 - Solve simple problems involving rates and derived measurements for such attributes as velocity and density