Congruence

 Experiment with transformations in the plane.

 Understand congruence in terms of rigid motions.

 Prove geometric theorems.

 Make geometric constructions.

Similarity, Right Triangles, and Trigonometry

 Understand similarity in terms of similarity transformations.

 Prove theorems involving similarity.

 Define trigonometric ratios and solve problems involving right triangles.

 Apply trigonometry to general triangles.

Circles

 Understand and apply theorems about circles.

 Find arc lengths and area of sectors of circles.

Expressing Geometric Properties with Equations

 Translate between the geometric description and the equation for a conic section.

 Use coordinates to prove simple geometric theorems algebraically.

Geometric Measurement and Dimension

 Explain volume formulas and use them to solve problems.

 Visualize relationships between two-dimensional and three-dimensional objects.

Modeling with Geometry

 Apply geometric concepts in modeling situations.

Statistics and Probability

Conditional Probability and the Rules of Probability

 Understand independence and conditional probability and use them to interpret data.

 Use the rules of probability to compute probabilities of compound events in a uniform probability model.

Using Probability to Make Decisions

 Use probability to evaluate outcomes of decisions.