S-ID.3.7

Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.

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Formative Assessments
Formative Assessments
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Students are asked to interpret the intercept of a linear model of life expectancy data.
Intercept for Life Expectancy
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Students are asked to interpret the meaning of the slope of the graph of a linear model.
Slope for Life Expectancy
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Students are asked to interpret the meaning of the slope of the graph of a linear model.
Slope for Foot Length Model
Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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In this activity, students use sliders to explore the relationship between price and number of pieces for various Star Wars LEGO sets and to make several predictions based on that model. Students will also interpret the parameters of their equation in context.
Desmos: Lego Prices
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This manipulative allows the user to enter multiple coordinates on a grid, estimate a line of best fit, and then determine the equation for a line of best fit.
Line of Best Fit
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Assessment Questions
Assessment Questions
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FSA Sample Question
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Videos of Expert Instruction
Videos of Expert Instruction
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Linear equations can be used to solve many types of real-word problems. In this episode, the water depth of a pool is shown to be a linear function of time and an equation is developed to model its behavior.
Linear Equations in the Real World
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In this video, Eugene Domack explains how past Antarctic ice sheet movement rates allow us to understand sea level changes.
Analyzing Antarctic Ice Sheet Movement to Understand Sea Level Changes
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A discussion describing ocean currents studied by a physical oceanographer does and how math is involved.
Oceanography & Math
Hook/Performance Tasks
Hook/Performance Tasks
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This problem solving task asks students to examine the relationship between shops and crimes by using a correlation coefficient.
Coffee and Crime
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This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.
Downhill
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The purpose of this task is to assess ability to interpret the slope and intercept of the least squares regression line in context.
Texting and Grades II