1. 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.

  2. 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.

  3. 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.

  4. 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.

  5. 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.

  6. 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.

  7. 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.

  8. 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.

  9. Using Logical Reasoning to Prove Statements are True

    • Resource ID: GM1L13
    • Grade Range: 9–12
    • Subject: Math

    Given statements about a geometric relationship, the student will distinguish between the undefined terms, definitions, postulates, conjectures, and theorems to prove the statements are true.

  10. Using Properties of Transformations

    • Resource ID: GM2L6
    • Grade Range: 9–12
    • Subject: Math

    Given examples of mathematics in the real world, the student will use properties of transformations and their composites to describe and perform transformations of figures in a plane.

  11. Developing Algebraic Expressions to Represent Geometric Properties

    • Resource ID: GM2L1
    • Grade Range: 9–12
    • Subject: Math

    The student will investigate patterns to make conjectures.

  12. Developing Algebraic Expressions to Represent Geometric Properties of Polygons

    • Resource ID: GM2L2
    • Grade Range: 9–12
    • Subject: Math

    Given numerical and/or geometric patterns that represent geometric properties of polygons, the student will develop algebraic expressions that represent the geometric properties.

  13. Developing Algebraic Expressions to Represent Geometric Properties of Angle Relationships in Polygons

    • Resource ID: GM2L4
    • Grade Range: 9–12
    • Subject: Math

    Given numerical and/or geometric patterns that represent geometric properties of angle relationships in polygons, the student will investigate patterns to make conjectures about interior and exterior angles of polygons.

  14. 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.

  15. 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.

  16. Coordinate Geometry: Parallel and Perpendicular Lines

    • Resource ID: GM3L7
    • Grade Range: 9–12
    • Subject: Math

    Given characteristics of two lines, such as slopes and equations, the student will determine whether the lines are parallel, perpendicular, or neither.

  17. 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.

  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. Coordinate Geometry: Slope

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

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

  20. Describing and Drawing Cross Sections

    • Resource ID: GM3L1
    • Grade Range: 9–12
    • Subject: Math

    Given a verbal and/or pictorial description of the intersection of a plane with various three-dimensional geometric figures, the student will describe and/or draw the intersection.