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    Determining the Surface Area of Cones and Cylinders

    • Resource ID: GM4L9
    • Grade Range: 9–12
    • Subject: Math

    Given a problem involving cones or cylinders, the student will find the surface area using appropriate units of measure.

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    Determining the Volume of Cones and Cylinders

    • Resource ID: GM4L10
    • Grade Range: 9–12
    • Subject: Math

    Given a problem involving cones or cylinders, the student will find the volume using appropriate units of measure.

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    Making Conjectures about Parallel and Perpendicular Lines

    • Resource ID: GM4L14
    • Grade Range: 9–12
    • Subject: Math

    The student will verify theorems about angles formed by parallel lines cut by a transversal and apply these relationships to solve problems.

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    Determining the Surface Area of Prisms and Pyramids

    • Resource ID: GM4L7
    • Grade Range: 9–12
    • Subject: Math

    Given a problem involving prisms or pyramids, the student will find the surface area using appropriate units of measure.

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    Determining the Volume of Prisms and Pyramids

    • Resource ID: GM4L8
    • Grade Range: 9–12
    • Subject: Math

    Given a problem involving prisms or pyramids, the student will find the volume using appropriate units of measure.

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    Making Conjectures About Congruence Transformations

    • Resource ID: GM4L18
    • Grade Range: 9–12
    • Subject: Math

    Given geometric figures on the coordinate plane, the student will apply the definition of congruence, in terms of rigid transformations, to identify congruent figures. The student will also identify and distinguish between reflectional and rotational symmetry in a plane figure.

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    Making Conjectures About Other Polygons

    • Resource ID: GM4L15c
    • Grade Range: 9–12
    • Subject: Math

    Given information about the properties of polygons, students will verify theorems about the relationships, including the sum of interior angles, and apply these relationships to solve problems.

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    Investigating and Applying Dimension Changes: Area

    • Resource ID: GM5L6b
    • Grade Range: 9–12
    • Subject: Math

    The student will describe the effects of changing one or more dimensions on the area of a figure.

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    Applying Triangle Congruence Relationships

    • Resource ID: GM4L19
    • Grade Range: 9–12
    • Subject: Math

    Given congruent triangles, the student will justify and apply triangle congruence relationships.

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    Making Conjectures About Similar Figures

    • Resource ID: GM5L1
    • Grade Range: 9–12
    • Subject: Math

    Given problem situations involving similar figures, the student will use and extend similarity properties and transformations to explore and justify conjectures about the given figures.

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    Developing Algebraic Expressions to Represent Properties of Angles in Circles

    • Resource ID: GM2L5
    • Grade Range: 9–12
    • Subject: Math

    Given numerical and/or geometric patterns that represent angle relationships in circles, the student will investigate inscribed angle relationships.

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    Applying Right Triangle Ratios

    • Resource ID: GM5L3
    • Grade Range: 9–12
    • Subject: Math

    The student will apply and prove the definition of similar triangles and identify and apply the relationships that exist when an altitude is drawn to the hypotenuse of a right triangle, including the geometric mean.

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    Applying Pythagorean Triples

    • Resource ID: GM5L5
    • Grade Range: 9–12
    • Subject: Math

    Given problem situations involving similar figures, the student will apply and justify triangle similarity relationships such as Pythagorean triples.

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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.

  16. 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.

  17. 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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    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.

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    Making Conjectures About Quadrilaterals

    • Resource ID: GM4L15b
    • Grade Range: 9–12
    • Subject: Math

    Given examples of quadrilaterals and their component parts, the student will use explorations and concrete models to prove a quadrilateral is a parallelogram, rectangle, square, or rhombus using opposite sides, opposite angles, or diagonals.

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    Applying Geometric Probability

    • Resource ID: GM4L6
    • Grade Range: 9–12
    • Subject: Math

    The student will find the area of polygons and circles. Then, the student will use probability to solve real-world problems.