NY Next Generation Math AI-S.ID.8

MathGrades 9–12Interpret linear models.

The Standard

Calculate (using technology) and interpret the correlation coefficient of a linear fit.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students use technology in Algebra I to calculate a linear correlation coefficient. They interpret its sign and magnitude as the direction and strength of a linear association.
What Mastery Looks Like: The student enters paired data correctly, reports the coefficient, and gives a contextual interpretation. The explanation distinguishes strong association from causation and checks whether a linear pattern is reasonable.
Common Misconceptions: Students may treat a coefficient near zero as no relationship of any kind or claim correlation proves causation. They may ignore data-entry errors or nonlinear patterns.
How to Assess It: Provide paired study-time and score data. Ask students to calculate the correlation coefficient with technology and interpret its direction, strength, and causal limits.

Lesson moves

Plot paired-data cards on a large grid and predict the correlation sign before using technology.
Ask students whether a strong correlation supports a causal claim and require a contextual reason.
Play correlation estimate by ranking scatter plots before revealing technology-generated coefficients.
Analyze paired school or community data and report association without claiming unsupported causation.

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