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Characteristics of Quadratics

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Characteristics of Quadratics

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.

Equivalent Representations

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Equivalent Representations

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

Graphing Functions

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Graphing Functions

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.

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Graphs and Descriptions of Parabolas

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Graphs and Descriptions of Parabolas

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

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Parabola Features and Number of Real Roots

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Parabola Features and Number of Real 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.).

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Six Flags End-of-year Algebra Trip Packet

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Six Flags End-of-year Algebra Trip Packet

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.

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What does the discriminant represent?

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What does the discriminant represent?

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.

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Where will it land?

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Where will it land?

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.

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