Quadratic Growth - Grades 9-12

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Summary

This toolkit will address quadratic relationships (functions). Functions are the backbone of high school mathematics. They model relationships between variables. Quadratics are one of the most important nonlinear functions. This lesson will help you assess students’ understanding of quadratic growth. In this toolkit we will work on taking real life situations and find the quadratic relationship.

Goals and Standards

Colorado Academic Standards:

8.F.A. Functions: Define, evaluate, and compare functions.
8.F.B. Functions: Use functions to model relationships between quantities.
HS.A-SSE.A. Seeing Structure in Expressions: Interpret the structure of expressions.
HS.A-SSE.B. Seeing Structure in Expressions: Write expressions in equivalent forms to solve problems.
HS.F-BF.A. Building Functions: Build a function that models a relationship between two quantities.

Mathematical Practice Standards:

Make sense of problems and persevere in solving them
Reason abstractly and quantitatively
Model with mathematics
Look for and make use of structure
Look for and express regularity in repeated reasoning

Learning Goal:

Identify key components of quadratic functions (e.g., intercepts, axis of symmetry, maximums or minimums from a graph, table, and equation).
Analyze the rate of change in a quadratic function (i.e., as one variable changes how does the one variable change).