1. ### Generalizing Geometric Properties of Ratios in Similar Figures

• Resource ID: GM2L3
• Grade Range: 9–12
• Subject: Math

Students will investigate patterns to make conjectures about geometric relationships and apply the definition of similarity, in terms of a dilation, to identify similar figures and their proportional sides and congruent corresponding angles.

2. ### Determining Area: Sectors of Circles

• Resource ID: GM4L3
• Grade Range: 9–12
• Subject: Math

Students will use proportional reasoning to develop formulas to determine the area of sectors of circles. Students will then solve problems involving the area of sectors of circles.

3. ### Making Conjectures About Circles and Segments

• Resource ID: GM4L16
• Grade Range: 9–12
• Subject: Math

Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties and relationships among the resulting segments.

4. ### Determining Area: Regular Polygons and Circles

• Resource ID: GM4L1
• Grade Range: 9–12
• Subject: Math

The student will apply the formula for the area of regular polygons to solve problems.

5. ### Making Conjectures About Circles and Angles

• Resource ID: GM4L16a
• Grade Range: 9–12
• Subject: Math

Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties of and relationships among the resulting angles.

6. ### Domain and Range: Numerical Representations

• Resource ID: A2M1L1
• Grade Range: 9–12
• Subject: Math

Given a function in the form of a table, mapping diagram, and/or set of ordered pairs, the student will identify the domain and range using set notation, interval notation, or a verbal description as appropriate.

7. ### Solving Problems With Similar Figures

• Resource ID: GM5L2
• Grade Range: 9–12
• Subject: Math

Given problem situations involving similar figures, the student will use ratios to solve the problems.