(http://bookbuilder.cast.org/view_print.php?book=29260)

1)     Explain how points on the function f(x) pre-image are mapped onto the image.
2)     Explain what components are critical in describing the shape, location, and the opening or orientation of the graph (parabola).
3)     Present a graphical image of a parabola without its symbolic or algebraic representation, then introduce three choices of the polynomial form (y = ax² + bx + c) with varying coefficients.  Ask the students which function best describes the parabola and have them explain.
4)     Explain what condition(s) will make quadratic a linear function, or what’s the effect of making the coefficient of x² less than 0, equal to 0, greater than 0?

Again, these open-ended questions can also be assigned as individual homework or small group activities and students are free to choose their mode of responding to the questions such as by voice thread, oral explanations, essay format, sample problems, slides, graphical solutions, algebraic solutions, etc.