## Congruence, Proof, and Constructions

- Experiment with transformations in the plane.
- Understand congruence in terms of rigid motions.
- Prove geometric theorems.
- Make geometric constructions.

## Similarity, Proof, and Trigonometry

- Understand similarity in terms of similarity transformations.
- Prove theorems involving similarity.
- Define trigonometric ratios and solve problems involving right triangles.
- Apply geometric concepts in modeling situations.
- Apply trigonometry to general triangles.

## Extending to Three Dimensions

- Explain volume formulas and use them to solve problems.
- Visualize the relation between two-dimensional and three-dimensional objects.
- Apply geometric concepts in modeling situations.

## Connecting Algebra and Geometry through Coordinates

- Use coordinates to prove simple geometric theorems algebraically.
- Translate between the geometric description and the equation for a conic section.

## Circles With and Without Coordinates

- Understand and apply theorems about circles.
- Find arc lengths and areas of sectors of circles.
- Translate between the geometric description and the equation for a conic section.
- Use coordinates to prove simple geometric theorem algebraically.
- Apply geometric concepts in modeling situations.

## Applications 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.
- Use probability to evaluate outcomes of decisions.