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Modeling Data with Equations: Extrapolating Values from Data Points

In this lesson, students will learn to write equations for lines based on given data points. They will apply the point-slope form to derive equations and use them to extrapolate additional data values. By finding slopes from two data points, students will create a model that predicts outcomes in various contexts, like cricket chirping rates and temperature. The lesson includes practical examples, such as determining chirp rates at different temperatures and solving for unknown values using derived equations.

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Modeling Data with Equations: Extrapolating Values from Data Points

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  1. Lesson 3-8: Using Equations to Model Data Objective Students will: write equations for lines from data points Use equations to extrapolate other data values

  2. Writing Equations from data: • Find 2 data points • Get slope • Use point-slope form (Plug in slope & 1 ordered pair) • Solve for y Extrapolating: Getting an extra point Given an x (or y value) Plug it into your equation Solve for y (or x)

  3. Example 1: At 6°C, A cricket chirps 11 times per minute. At 20°C, A cricket chirps 109 times. How: Write an equation to model chirps per degree Celsius Which is input-x? Which is output-y? Write two ordered pairs (temp,chirp) then solve from yesterday! Temp Chirps

  4. ExtendUse your formula • Find the number of chirps if the temp is 18 • If a cricket chirps 109 times, what is the temp?

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