1. 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.

  2. Creating Nets for Three-Dimensional Figures

    • Resource ID: GM3L2A
    • Grade Range: 7
    • Subject: Math

    Given nets for three-dimensional figures, the student will apply the formulas for the total and lateral surface area of three-dimensional figures to solve problems using appropriate units of measure.

  3. Drawing Conclusions about Three-Dimensional Figures from Nets

    • Resource ID: M7M3L16
    • Grade Range: 7–8
    • Subject: Math

    Given a net for a three-dimensional figure, the student will make conjectures and draw conclusions about the three-dimensional figure formed by the given net.

  4. 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.

  5. 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.

  6. 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.

  7. 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.

  8. 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.

  9. 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.

  10. 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.

  11. Determining the Validity of Conditional Statements

    • Resource ID: GM1L6
    • Grade Range: 9–12
    • Subject: Math

    Given a conditional statement, the student will determine its validity and the validity of the converse, inverse and contrapositive.

  12. Making and Verifying Conjectures about Angles

    • Resource ID: GM1L7
    • Grade Range: 9–12
    • Subject: Math

    Given the relationship(s) among a set of angles, the student investigates the patterns and makes conjectures about the geometric relationships, including angles formed by parallel lines cut by a transversal.

  13. Making and Verifying Conjectures about Lines

    • Resource ID: GM1L8
    • Grade Range: 9–12
    • Subject: Math

    Students will investigate patterns and make conjectures about geometric relationships.

  14. 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.

  15. 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.

  16. Writing the Converse, Inverse, and Contrapositive

    • Resource ID: GM1L5
    • Grade Range: 9–12
    • Subject: Math

    Given a conditional statement, the student will write its converse, inverse, and contrapositive.

  17. Making and Verifying Conjectures about Three-Dimensional Figures

    • Resource ID: GM1L11
    • Grade Range: 9–12
    • Subject: Math

    Students will explore volume conjectures and solve problems by applying  the volume formulas to composite figures.

  18. Constructing and Justifying Statements about Geometric Figures

    • Resource ID: GM1L12
    • Grade Range: 9–12
    • Subject: Math

    Students will distinguish between undefined terms, definitions, postulates, conjectures, and theorems and investigate patterns to make conjectures about geometric relationships.

  19. Using Counter Examples to Disprove Statements That Are False

    • Resource ID: GM1L14
    • Grade Range: 9–12
    • Subject: Math

    Given statements about a geometric relationship, the student will use counter examples to disprove statements that are false.

  20. Using Inductive Reasoning to Formulate Conjectures

    • Resource ID: GM1L15
    • Grade Range: 9–12
    • Subject: Math

    Students will practice identifying the converse, inverse, and contrapositive of conditional statements.