Varied Slopes and Intercepts

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Discover what happens to the graph when you vary the values for m and b in the equation y = mx + b.

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Twice Reflected over Parallel Lines

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Find an equation that relates the distance between points reflected over parallel lines.

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Twice Reflected over Intersecting Lines

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Find an equation which relates the angles formed by intersecting lines and points reflected over these lines.

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Segments on Secant

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Find an equation that relates segments on a secant.

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Area of a Kite

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Find an equation that relates the area of a kite to its diagonals.

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Edges, Face, Vertex

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Find an equation that relates the number of edges to the number of faces and the number of vertices in three-dimensional objects.

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Intersecting Chords

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Find an equation to relate chords of a circle.

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Distance to a Point in a Rectangle

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Find an equation that relates segments inside a rectangle.

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Proper Patterns

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Given some of the proper factors of a number, what could the number be?

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Squaring Legs

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Using information about how a scroboscopus squares its number of legs, can you tell how many scroboscopi Tom bought?

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