SP #2: Unit E Concept 7: Graphing Quadratics and Include identifying All Features

In this Student Problem, students were to create their own Quadratic with our four selected zeroes (one with a multiplicity of two and two more each with the multiplicity of one). With the zeroes, we needed to complete the square in order to make the equation "graphable." But before graphing, the end behavior must be identified. For example, my own Quadratic has an End Behavior with both pointing up because it was an Even Positive. To find End Behavior, look at the Leading Coefficient and Exponent. Finally, we graph! All five features (Equation, Factored Equation, End Behavior, X-intercepts- with multiplicities, and Y-intercept.

The trickiest part for this Student Problem was finding four zeroes that would work smoothly together. After that, the entire problem ran generally well.

SP #1: Unit E Concept 1 (Identyfing the Parts of the Graph of a Quadratic)

In this Student Problem, we were to create our own Quadratic Equation and identify its components. The first step was to complete the square to make graphing the equation easier by setting it in its parent form. But instead of leaving it in parent graph form, we must find the x-intercepts. After the work is done: the vertex, max or min, y-intercept, axis of symmetry, and x-intercepts must be identified. Finally, all five points and the line of symmetry must be sketched.

 

The trickiest part to identifying all parts of this quadratic is identifying everything correctly. The x-intercepts especially could be found confusing at times. Also, it is easy to forget to identify the parabola as having a "max" (maximum extrema) or a "min" (minimum extrema).

WPP #3: Unit E Concept 2

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WPP #2: Unit A Concept 7

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WPP #1: Unit A Concept 6

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