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    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.

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    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.

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    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.

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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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    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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    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.

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    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.

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    Determining Area: Composite Figures

    • Resource ID: GM4L2
    • Grade Range: 9–12
    • Subject: Math

    Given information about composite fiugres, the student will determine the area of composite 2-dimensional figures comprised of a combination of triangles and  parallelograms using appropriate units of measure.

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    Determining Arc Length

    • Resource ID: GM4L4
    • Grade Range: 9–12
    • Subject: Math

    Given a problem situation involving sectors of circles, the student will use proportional reasoning to solve the problem.