Sum of Consecutive Integers

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Use the sum of consecutive integers to form certain numbers.

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Completing the Sequence

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Find the next numbers in the sequences.

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Squares on a Checkerboard

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Determine how may squares are on a given checkerboard.

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Paint Less Cubes

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How many of the one-inch cubes will have no paint on them?

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Face Painting

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Determine the volume of the prism that was formed if a certain number of its faces were not painted.

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Comparing Properties

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Find the ratio of the volume of a cube to the surface area.

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Netting a Maximum

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Find the largest-volume box that Julia can construct.

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Soma Cubes

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Create your own set of soma cubes pieces and explore how they can fit together.

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Peeling an Orange

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Use an orange’s peel to discover a formula relating the surface area to a sphere’s radius.

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Faces, Vertices, and Edges

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Find a relationship between the number of edges, faces and vertices in three-dimensional objects.

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