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10.8: Problem Solving Strategies: Choose a Function Model

Difficulty Level: At Grade Created by: CK-12

Learning Objectives

At the end of this lesson, students will be able to:

• Read and understand given problem situations.
• Develop and use the strategy: Choose a Function Model.
• Develop and use the strategy: Make a Model.
• Plan and compare alternative approaches to solving problems.
• Solve real-world problems using selected strategies as part of a plan.

Vocabulary

Terms introduced in this lesson:

logistic regression

Teaching Strategies and Tips

The lesson presents several mathematical models arising from real-world applications in the examples.

Encourage students to read and understand the modeling process presented as a flow chart in the introduction.

In each of the examples, present and compare several regressions side-by-side. Allow students to see how accurate each is.

Error Troubleshooting

General Tip: Students rush to calculate the regression not stopping to consider its appropriateness. A scatter plot should always be consulted first.

General Tip: Have students check the data points they have inputed into a calculator twice.

General Tip: On the TI graphing calculators, students should be using LinReg(ax+b)\begin{align*}(ax+b)\end{align*} or LinReg(a+bx)\begin{align*}(a+bx)\end{align*}to perform linear regressions and not LnReg.

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