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Modeling With Quadratic Functions- Grades 9-12
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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.
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
- Digital Device for each student or small group
- Digital Device for Facilitator
- Projector, if you are working with more that 2-3 students
- Whiteboards for students, if available
- Writing utensils (markers for whiteboards, pencils for paper)
- Pre-assessment
- Intro Activity - Starburst Growth (one copy for each small group or student)
- Desmos Will it Hit the Hoop? (digital activity - one device for each student or small group)
- Answer key is built into activity
- Lesson Slides
- Modeling with Quadratics Student Worksheet (Activity 2) - (can be used to supplement slides, if you prefer to have students work on paper rather than whiteboards)
- Modeling with Quadratics Student Worksheet (Activity 4)
- Card Sort Matching Activity (one copy for each student or small group)
- Post-Assessment (one for each student)
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