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Modeling With Quadratic Functions- Grades 9-12


Summary

This toolkit will address students’ understanding of how and why quadratics can be used to model real-world situations. The toolkit is focused on the relationships between different representations of quadratic functions and how they model real-world situations.


Meets either Colorado academic standards or mathematical practice standards

Goals and Standards


Colorado Academic Standards:

  • For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. (F-IF.B.4)
  • Interpret expressions that represent a quantity in terms of its context. (CCSS: HS.A-SSE.A.1)
    • Interpret parts of an expression, such as terms, factors, and coefficients. (CCSS: HS.A-SSE.A.1.a)
    • Use the structure of an expression to identify ways to rewrite it.

Mathematical Practice Standards:

  • MP1. Make sense of problems and persevere in solving them.
  • MP2. Reason abstractly and quantitatively.
  • MP4. Model with mathematics.

Learning Goal:

  • Students can connect different representations of a quadratic function (graph, table and equation) to the real-world situation modeled by the function.
  • Students can interpret the key features of a quadratic function, in context, in order to answer questions about a situation.

Materials List


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