Constant Rate of Change with Linear Models (CoRD)
Rebecca Burkala, Rose State College
William Pugelli, Rose State College
Ashley Tomson, Rose State College
Brandon Tomson, Oklahoma City Community College
In this linear models CoRD for a Functions & Modeling course, students work through four activities which emphasize linear modeling through the key concept of constant rate of change. In the first activity, students connect the idea of constant rate of change to linear functions. In the second activity, students analyze data to determine if it is linear. Through the third activity, students distinguish between exact linear data and approximately linear data. In the fourth activity, students transition to identifying linear versus non-linear data.
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Exploring Rates of Change
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In this activity, students will apply the idea of average rate of change (from Chapter 1) to transition to linear models with constant rate of change (Chapter 3). This activity corresponds to Section 3.1 in the Functions and Change text by Evans, Crauder, and Noell.
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Modeling Table Data
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In this activity, students will use their knowledge of writing an exact linear function (from Section 3.2) to write a model given exact linear data. This activity fits well with Section 3.3 in the Functions and Change text by Evans, Crauder, and Noell.
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Exact vs. Approximate Linear Models |
In this activity, students will compare exact linear data to approximate linear data. Students will write a model for the exact linear data by hand. Students will evaluate an appropriate linear model using the linear regression features on the graphing calculator. This activity fits well with Sections 3.3 and 3.4 from the Functions and Change text by Evans, Crauder, and Noell.
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Linear or Not?
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In this activity, students will analyze data that is approximately linear and perform regression analysis in order to find an appropriate linear regression model. Students will see a nonlinear graph and transition to performing regression with a nonlinear model. This activity fits well with Section 3.4 in the Functions and Change text by Evans, Crauder, and Noell.
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This work is licensed under CC BY-NC-SA 4.0
