About the Class

Unit 1: Congruence, Proof, and Construction

1. Why is precise language helpful in expressing geometric ideas?

2. How are solving and proving different?

3. How does geometry describe our world?

4. What can be learned from doing formal constructions?

5. How can transformations be described mathematically?

6. How do you use deductive reasoning to draw conclusions?

7. How does classifying make communication easier?

Unit 2: Similarity, Right Triangles, and Trigonometry

1. What does it mean that figures are similar?

2. What properties of a figure change when it is shrunk or expanded?

3. How is similarity recognized and applied in the real world?

4. How does similarity relate to trigonometry?

5. When can estimation be used instead of exact solutions?

6. How can trigonometry be used with non-right triangles?

7. How do you use logical reasoning and deduction to support a conjecture?

Unit 3: Circles

1. How do you know which representation of pi should be used in a given problem?

2. How is similarity used in describing geometric shapes?

3. How are solving and proving different?

4. How does the classification of geometric objects make communication better?

5. How does precise language help us express mathematical ideas?

6. How do you use deductive reasoning to draw conclusions?

Unit 4: Expressing Geometric Properties with Equations

1. How are equations used to represent patterns observed from graphing?

2. How are solving and proving different?

3. How do you know when you have proven something?

4. How do algebra and geometry work together in the coordinate plane?

5. How does classifying of geometric objects make communication better?

6. How do you use deductive reasoning to draw conclusions?

Unit 5: Geometric Measurement and Dimensions

1. Why is visualization beneficial in geometry?

2. How precise must a measurement be?

3. When is estimation better used instead of exact measurements?

4. How does geometry describe the structure of our world?

5. How can space be defined through numbers and measurement?

6. How do you determine which unit of measurement to use in a problem when several different units are known

7. How do formulas relate observed patterns?