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    Investigating and Applying Dimension Changes: Perimeter

    • Resource ID: GM5L6a
    • Grade Range: 9–12
    • Subject: Math

    Given problem situations involving similar figures, the student will describe the effect on perimeter when one or more dimensions of the figure are changed and apply this idea in solving problems.

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    Investigating and Applying Dimension Changes: Volume

    • Resource ID: GM5L6c
    • Grade Range: 9–12
    • Subject: Math

    The student will describe the effects of changing one or more dimensions on the volume of a 3-dimensional figure.

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    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.

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    Introducing Conic Sections

    • Resource ID: PCM1L1
    • Grade Range: 9–12
    • Subject: Math

    Given a verbal description or a pictorial representation, the student will describe a conic section as the intersection of a cone and a plane.

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    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.

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    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.

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    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.

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    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.

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    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.

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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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    Domain and Range: Numerical Representations

    • Resource ID: A2M1L1
    • Grade Range: 9–12
    • Subject: Math

    Given a function in the form of a table, mapping diagram, and/or set of ordered pairs, the student will identify the domain and range using set notation, interval notation, or a verbal description as appropriate.

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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.