Maryland Math 8.DS.B.3

Math8th GradeReasoning with Data, Statistics, and Probability

The Standard

Compare the fit of different linear models shown on scatter plots of the same data by describing the overall pattern and the closeness of data points to each line.

Maryland College and Career Ready Standards for Mathematics (2025) · DESCRIBE, ANALYZE, AND COMPARE DATA USING VISUAL AND NUMERICAL REPRESENTATIONS TO MODEL SITUATIONS AND DRAW INFERENCES.

Teacher's field guide

What This Standard Means

What Students Need to Do

Students compare two lines drawn on the same scatter plot. They describe the pattern in the dots and decide which line stays closer to the dots overall.

What Mastery Looks Like

A student can name the trend, such as scores rising as study time rises. They can choose the better line and point to dots that are much farther from the other line.

Common Misconceptions

Students may pick the steeper line because it looks more dramatic. They may focus on one dot that a line crosses and ignore how far that line sits from the other dots.

How to Assess It

Have students plot (1,2), (2,3), (3,3), and (4,5), then draw y = x + 1 and y = 2x. Ask which line fits better and why, using the pattern and the gaps between dots and lines.

Lesson moves

Ways to Teach It

  1. Give pairs a printed scatter plot of study time and quiz scores; place two colored strings across the dots and compare the gaps.

  2. Show two lines on one scatter plot and ask, "Which line follows the trend and stays closer to most dots? Name one exception."

  3. Deal pairs cards showing the same dots with three different lines; have them rank the lines by fit and defend their choices.

  4. Plot bike trips of 1, 2, 3, 4 miles in 6, 12, 16, 23 minutes; draw two lines, compare gaps, predict 5 miles.

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