# 435 Accelerated Geometry

## What your student will be able to do after a successful year

### Congruence

• Experiment with transformations in the plane
• Understand congruence in terms of rigid motions
• Prove geometric theorems
• Make geometric constructions
• Apply geometric concepts in modeling situations

### 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
• Apply geometric concepts in modeling situations

### Circles

• Understand and apply theorems about circles
• Find arc lengths and areas of sectors of circles
• Apply geometric concepts in modeling situations

### 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.
• Apply geometric concepts in modeling situations.

### Geometric Measurement and Dimension

• 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

### Algebra - creating and reasoning with equations and inequalities

• Create equations that describe numbers or relationships
• Solve equations and inequalities in one variable
• Represent and solve equations and inequalities graphically
• Conditional Probability, the Rules of Probability, and using probability to Make Decisions
• 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
• Calculate expected values and use them to solve problems
• Use probability to evaluate outcomes of decisions