Seeing functions in nature is a beautiful part of mathematics by analyzing the motion of a dolphin over time. Then take a look at the value of a stock and maximize the profit of a new toy. Explore the application of quadratics by emphasizing the key features of the graph. This is the tenth exercise in a 26-part series.

Concepts

math modeling, quadratic functions, quadratic equations

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Additional Tags

math

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Instructional Ideas

• Give class members a copy of the graph of the dolphin to label with key features and their meaning based on the context
• Ask individuals to write a paragraph for each problem explaining the graph and the meaning of each key feature

Classroom Considerations

• Be sure students are comfortable with the notation used in the lesson or adjust to fit you class

Pros

• A distinct effort is made to ensure learners don't view the quadratic graph as showing the horizontal motion when the x-axis represents time
• Real-world examples are used that are familiar 
• Handouts, keys, exit ticket, and a detailed teacher guide are included

Cons

• None

Common Core

HSA-SSE.A.1.a HSA-SSE.A.2 HSA-SSE.B.3.a HSA-APR.A.1 HSA-CED.A.1 HSA-CED.A.2 HSA-REI.B.4.b HSA-REI.D.11 HSF-IF.B.4 HSF-IF.B.5 HSF-IF.B.6 HSF-IF.C.7.a MP2 MP3