1. Introduction to Logical Reasoning

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

    This activity provides the opportunity to explore the validity of the converse, inverse, and contrapositive of statements. It also assists in recognizing the connections between biconditional statements and true conditional statements with a true converse.

  2. Introduction to Probability

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

    This activity provides the opportunity to explore the difference between finding the probability of independent events and dependent events. It also addresses how to use a tree diagram when calculating conditional probabilities.

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    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.

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    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.

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    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.

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    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.

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    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.

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    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.

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    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.

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    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.

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    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.

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    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.

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    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.

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    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.

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    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.

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    Developing Algebraic Expressions to Represent Geometric Properties

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

    The student will investigate patterns to make conjectures.

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    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.

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    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.

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    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.

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    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.