NY Next Generation Math NY-8.SP.3

Math8th GradeInvestigate patterns of association in bivariate data.

The Standard

Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students use a linear model equation to solve problems with bivariate measurement data. They interpret slope as change per unit and intercept as the predicted value when the input is zero.
What Mastery Looks Like: The student substitutes a value into the model, solves accurately, and labels the prediction. The student explains slope and intercept with both quantities and units, noting when zero has contextual meaning.
Common Misconceptions: Students may describe slope without units or reverse the quantities. They may treat the intercept as an observed value even when zero lies outside the meaningful data range.
How to Assess It: For h = 1.5s + 8, where s is sunlight hours and h is plant height in centimeters, ask students to predict h when s = 6 and interpret both parameters.

Lesson moves

Use a table and model equation to calculate predictions, then label each change with units.
Ask students when a linear model’s intercept has a meaningful real-world interpretation.
Play Parameter Match with equations, contexts, slope statements, and intercept statements.
Use a linear model relating practice time to measured performance and interpret a prediction in context.

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