
Connecting Postulates, Definitions, and Theorems
 Resource ID: GM1L1
 Grade Range: 9–12
 Subject: Math
The student will distinguish the difference between undefined terms, definitions, postulates, conjectures, and theorems. 
Determining the Surface Area and Volume of Spheres
 Resource ID: GM4L11
 Grade Range: 9–12
 Subject: Math
Given a problem involving spheres, the student will find the surface area and volume.

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 the Surface Area and Volume of Composite Figures
 Resource ID: GM4L12
 Grade Range: 9–12
 Subject: Math
Given a problem involving composite figures made from prisms, pyramids, spheres, cones, and/or cylinders, the student will find the surface area and volume of the composite figure.

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.

Applying Pythagorean Triples to Solve Problems
 Resource ID: GM2L8
 Grade Range: 9–12
 Subject: Math
Given verbal and pictorial representations of problem situations, the student will apply patterns from right triangles whose sides are Pythagorean Triples to solve the problems.

Making and Verifying Conjectures about Polygons
 Resource ID: GM1L9
 Grade Range: 9–12
 Subject: Math
Students will investigate patterns and make conjectures about geometric relationships, including interior angles of polygons.

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.

Using The Pythagorean Theorem
 Resource ID: GM4L5
 Grade Range: 9–12
 Subject: Math
The student will use triangle relationships to prove the Pythagorean Theorem and solve problems.

Making and Verifying Conjectures About Circles
 Resource ID: GM1L10
 Grade Range: 9–12
 Subject: Math
Given information about the relationship(s) witnin one circle or a set of circles, the student will explore special segments and angles of circles.

Coordinate Geometry: Slope
 Resource ID: GM3L10
 Grade Range: 9–12
 Subject: Math
Given coordinate points, the student will use slope formulas to solve problems.

Coordinate Geometry: Midpoint
 Resource ID: GM3L11
 Grade Range: 9–12
 Subject: Math
Given coordinate points the student will use midpoint formulas to solve problems.

Introduction to Coordinate Geometry
 Resource ID: GM3L6
 Grade Range: 9–12
 Subject: Math
The students will use multiple representations of undefined terms on a coordinate plane to solve problems.

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.

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.

Applying Trigonometric Ratios
 Resource ID: GM5L4
 Grade Range: 9–12
 Subject: Math
Given problem situations involving similar figures, the student will apply and justify triangle similarity relationships such as trigonometric ratios.

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.

Coordinate Geometry: Special Segments
 Resource ID: GM3L8
 Grade Range: 9–12
 Subject: Math
The student will derive and use the slope and midpoint formulas to verify geometric relationship that include parallelism and perpendicularity of lines. Then, the student will determine an equation of a line parallel or perpendicular to a given line.

Making and Verifying Conjectures About Triangles
 Resource ID: GM4L15a
 Grade Range: 9–12
 Subject: Math
Given examples of triangles and their component parts, the student will use explorations and concrete models to verify and apply the Triangle Inequality theorem and find the sum of interior angles.

Coordinate Geometry: Length and Distance
 Resource ID: GM3L9
 Grade Range: 9–12
 Subject: Math
Given coordinates of points, the student will use the distance formula to solve problems involving length and distance.