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Students analyze different representations of quadratic functions to determine what characteristics of quadratic functions are true for every quadratic function, and then extend their understanding to analyze polynomial functions.

During this week students create and study different representations of quadratic functions in order to make connections between the different representations.

The primary focus of this Core Resource is on students applying what they have learned about rate of change and function transformations to square root, absolute value, quadratic, and piecewise functions and graphing those functions.

Students will connect a graph of a parabola with a written description of its axis and number of roots. 

Students will be able to determine the number of real roots a quadratic has from its parabola features (e.g. axis of symmetry, vertex, etc.).

This folder has a cover pages and six extended, scaffolded problems that are designed for an end-of-year trip to Six Flags Great America. It covers linear and quadratic functions and transformations. The problems refer specifically to the rides and experiences that students will have while at the park, while at the same time most of the problems can be finished at home or on the bus. Each problem has a rubric for standard-based scoring of problems. Feel free to download and change at will. Please don't change the originals.

Chunk the quadratic formula into pieces in order to match the parts of the formula to the vertex and existence of the roots of parabolas.

Students will use the structure of a visual pattern that is growing in two dimensions to calculate the area of a subsequent figure. Attention should be paid to the connection between area and quadratic functions.