1. OnTrack logo

    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.

  2. OnTrack logo

    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.

  3. OnTrack logo

    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.

  4. OnTrack logo

    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.

  5. OnTrack logo

    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.

  6. OnTrack logo

    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.

  7. OnTrack logo

    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.

  8. OnTrack logo

    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.

  9. OnTrack logo

    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.

  10. OnTrack logo

    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.

  11. OnTrack logo

    Coordinate Geometry: Slope

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

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

  12. OnTrack logo

    Coordinate Geometry: Midpoint

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

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

  13. OnTrack logo

    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.

  14. OnTrack logo

    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.

  15. OnTrack logo

    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.

  16. OnTrack logo

    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.

  17. OnTrack logo

    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.

  18. OnTrack logo

    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.

  19. OnTrack logo

    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.

  20. OnTrack logo

    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.