1. 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.

2. 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.

3. Coordinate Geometry: Slope

• Resource ID: GM3L10
• Grade Range: 9–12
• Subject: Math

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

4. Coordinate Geometry: Midpoint

• Resource ID: GM3L11
• Grade Range: 9–12
• Subject: Math

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

5. 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.

6. Domain and Range: Contextual Situations

• Resource ID: A2M1L5
• Grade Range: 9–12
• Subject: Math

The student will be able to identify and determine reasonable values for the domain and range from any given contextual situation.

7. Functions and their Inverses

• Resource ID: A2M3L8
• Grade Range: 9–12
• Subject: Math

Given a functional relationship in a variety of representations (table, graph, mapping diagram, equation, or verbal form), the student will determine the inverse of the function.

8. 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.

9. Interpreting Graphs

• Resource ID: A1M2L3
• Grade Range: 9–12
• Subject: Math

Given a graph, the student will analyze, interpret, and communcate the mathematical relationship represented and its characteristics.

10. 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.

11. 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.

12. 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.

13. 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.

14. 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.

15. Solving Systems of Equations with Graphs

• Resource ID: A1M5L9
• Grade Range: 9–12
• Subject: Math

Given verbal and/or algebraic descriptions of situations involving systems of linear equations, the student will solve the system of equations using graphs.

16. Solving Quadratic Equations Using Concrete Models

• Resource ID: A1M6L5
• Grade Range: 9–12
• Subject: Math

Given a quadratic equation, the student will use tiles to factor and solve the equation.

17. Determining Parent Functions (Verbal/Graph)

• Resource ID: A1M2L1
• Grade Range: 9–12
• Subject: Math

Given a graph or verbal description of a function, the student will determine the parent function.

18. 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.

19. 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.