Spatial Relationships, Geometry, and Logic

4.12.1

E/S
Identify and use the parts of a circle to solve mathematical and practical problems.

Identify and apply properties of interior and exterior angles of polygons to solve mathematical and practical problems.

4.12.2

E/S
Apply properties of similarity through right triangle trigonometry to find missing angles and sides.

4.12.5

E/S

Determine the slope of lines using coordinate geometry and algebraic techniques.

Identify parallel, perpendicular, and intersecting lines in space.

Graph linear equations and find possible solutions to those equations using coordinate geometry.

Find possible solution sets of systems of equations whose slopes indicate parallel, perpendicular or intersecting lines.

4.12.6

I/S
Solve problems using complementary and supplementary angles, congruent angles, vertical angles, and angles, formed when parallel lines are cut by a transversal.

4.12.7

I/S
Apply the Pythagorean Theorem and its converse in mathematical and practical situations.

4.12.8

W/L
Solve problems by drawing and/or *constructing geometric figures to demonstrate geometric relationships.

4.12.9

I/S
Formulate, evaluate, and justify arguments using inductive and deductive reasoning in mathematical and practical situations.