Altered State

Make a false equation correct by alternating the “punctuation” on the left side of the equation.

Piano Frequency

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

Heron’s Area

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

The Life of a Natural Number

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

Shifting Parabolas

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

Sliding Graph

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

Forming a Square

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

Discriminant

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

Reciprocal Functions

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

Absolute Value Functions and Transformations

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