1. ### Connecting Postulates, Definitions, and Theorems

• Resource ID: GM1L1
• Subject: Math

The student will distinguish the difference between undefined terms, definitions, postulates, conjectures, and theorems.

2. ### Determining the Surface Area and Volume of Spheres

• Resource ID: GM4L11
• Subject: Math

Given a problem involving spheres, the student will find the surface area and volume.

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

• Resource ID: GM2L3
• 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.

4. ### Determining the Surface Area and Volume of Composite Figures

• Resource ID: GM4L12
• 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.

5. ### Making Conjectures About Circles and Segments

• Resource ID: GM4L16
• 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.

6. ### Applying Pythagorean Triples to Solve Problems

• Resource ID: GM2L8
• 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.

7. ### Making and Verifying Conjectures about Polygons

• Resource ID: GM1L9
• Subject: Math

Students will investigate patterns and make conjectures about geometric relationships, including interior angles of polygons.

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

• Resource ID: GM4L1
• Subject: Math

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

9. ### Using The Pythagorean Theorem

• Resource ID: GM4L5
• Subject: Math

The student will use triangle relationships to prove the Pythagorean Theorem and solve problems.

10. ### Making and Verifying Conjectures About Circles

• Resource ID: GM1L10
• 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.

11. ### Coordinate Geometry: Slope

• Resource ID: GM3L10
• Subject: Math

Given coordinate points, the student will use slope formulas to solve problems.

12. ### Coordinate Geometry: Midpoint

• Resource ID: GM3L11
• Subject: Math

Given coordinate points the student will use midpoint formulas to solve problems.

13. ### Introduction to Coordinate Geometry

• Resource ID: GM3L6
• Subject: Math

The students will use multiple representations of undefined terms on a coordinate plane to solve problems.

14. ### Determining Area: Sectors of Circles

• Resource ID: GM4L3
• 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.

• Resource ID: GM1L18
• Subject: Math

Given conjectures about quadrilaterals, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.

16. ### Applying Trigonometric Ratios

• Resource ID: GM5L4
• Subject: Math

Given problem situations involving similar figures, the student will apply and justify triangle similarity relationships such as trigonometric ratios.

17. ### Using Logical Reasoning to Prove Conjectures about Circles

• Resource ID: GM1L19
• Subject: Math

Given conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.

18. ### Coordinate Geometry: Special Segments

• Resource ID: GM3L8
• 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.

19. ### Making and Verifying Conjectures About Triangles

• Resource ID: GM4L15a