Florida B.E.S.T. MA.912.DP.2.4

MathGrades 9–12Solve problems involving univariate and bivariate numerical data.

The Standard

Fit a linear function to bivariate numerical data that suggests a linear association and interpret the slope and y-intercept of the model. Use the model to solve real-world problems in terms of the context of the data.

Florida B.E.S.T. Standards for Mathematics

Teacher's field guide

What This Standard Means

What Students Need to Do

Students plot paired numerical data and fit a line that represents the overall trend. They explain the slope and y-intercept using the situation and use the equation to make predictions.

What Mastery Looks Like

Students choose a reasonable line that follows the overall pattern of the data. They state the slope as a rate with units and explain the y-intercept in context. They use the equation to make and judge predictions.

Common Misconceptions

Students may treat any scattered data as perfectly linear or connect points instead of fitting one line. They often describe slope without units or confuse it with the starting value. They may trust predictions far beyond the observed data.

How to Assess It

Give the data pairs (1, 58), (2, 63), (3, 69), (4, 74), and (5, 79), where x is study hours and y is test score. Ask students to fit a line, interpret both parameters, and predict the score for 6 hours.

Lesson moves

Ways to Teach It

  1. Stack identical cups, measure tower height for different cup counts, plot the pairs, and fit a linear model.

  2. Ask students to explain what each parameter in a phone data-cost model means, including its units.

  3. Play Match the Model by pairing scatter plots, equations, slope interpretations, and prediction cards.

  4. Use local hourly wage and hours-worked data to model weekly pay, then predict earnings for a new schedule.

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