
Investigating and Applying Dimension Changes: Perimeter
 Resource ID: GM5L6a
 Grade Range: 9–12
 Subject: Math
Given problem situations involving similar figures, the student will describe the effect on perimeter when one or more dimensions of the figure are changed and apply this idea in solving problems.

Investigating and Applying Dimension Changes: Volume
 Resource ID: GM5L6c
 Grade Range: 9–12
 Subject: Math
The student will describe the effects of changing one or more dimensions on the volume of a 3dimensional figure.

Using Logical Reasoning to Prove Conjectures About Quadrilaterals
 Resource ID: GM1L18
 Grade Range: 9–12
 Subject: Math
Given conjectures about quadrilaterals, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.

Introducing Conic Sections
 Resource ID: PCM1L1
 Grade Range: 9–12
 Subject: Math
Given a verbal description or a pictorial representation, the student will describe a conic section as the intersection of a cone and a plane.

Using Logical Reasoning to Prove Conjectures about Circles
 Resource ID: GM1L19
 Grade Range: 9–12
 Subject: Math
Given conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.

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.

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.

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.

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.

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.

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.

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.