Piano Frequency

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Is the given relation comparing key position and frequency actually a function?

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Heron’s Area

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Explore the world of Heron triangles – triangles with sides of integral length and integral area.

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The Life of a Natural Number

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Determine the behavior of natural numbers given that even and odd numbers act differently.

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Shifting Parabolas

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Examine graphs of y=x2 + bx + 6, where b is any real number.

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Sliding Graph

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Examine the graphs of 2x + 3y = A.

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Forming a Square

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Find four equations whose graphs are oblique (slanted) lines that will intersect to form the vertices of a square.

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Discriminant

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How can the discriminant help you determine how many times the graph will cross the x-axis?

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Reciprocal Functions

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Describe any patterns you find when comparing a function to its reciprocal function.

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Absolute Value Functions and Transformations

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Describe how the graph of an absolute value function changes when you modify a, b, and c.

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Exponential Functions

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When is a function in the form y=abx increasing or decreasing?

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