Applications of Probability & Geometric Modeling in Two Dimensions

Angle Measures of Polygons

• Identify and describe polygons.

• Apply the polygon interior angle sum theorem to solve problems.

• Apply the polygon exterior angle sum theorem to solve problems.

Area of Regular Polygons

• Calculate the length of the apothem of a regular polygon.

• Calculate the area of a regular polygon.

• Solve real-world problems involving the area of regular polygons.

Area of Composite Figures

• Decompose composite 2-D figures.

• Write an expression that represents the area of a composite 2-D figure.

• Calculate the area of composite 2-D figures, including real-world applications.

Probability and Two-Way Tables

• Construct a two-way table.

• Use a two-way table to determine if two events are independent.

• Compute conditional probabilities from data displayed in a two-way table.

Probability with Combinations and Permutations

• Identify expressions that represent probabilities of compound events.

• Use combinations to compute probabilities of compound events.

• Use permutations to compute probabilities of compound events.