Florida B.E.S.T. MA.7.AR.4.1

Math7th GradeAnalyze and represent two-variable proportional relationships.

The Standard

Determine whether two quantities have a proportional relationship by examining a table, graph or written description.

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

Teacher's field guide

What Students Need to Do: Students decide whether one quantity is a constant multiple of another. They check for equal ratios in a table, a straight line through the origin, or a constant rate in a description.
What Mastery Looks Like: Students correctly label examples and nonexamples across tables, graphs, and descriptions. They justify each answer with a constant ratio, a line through the origin, or evidence that one of these conditions fails.
Common Misconceptions: Students may call any straight line proportional, even when it does not pass through the origin. They may compare differences instead of ratios or reverse the ratio between rows. They may overlook starting fees in real situations.
How to Assess It: Exit ticket: A graph passes through (0,0), (2,6), and (5,15). Is the relationship proportional, and what evidence proves your answer?

Lesson moves

Build towers with two red cubes for every three blue cubes, record the totals in a table, and graph the ordered pairs.
Write: Why is a straight line that crosses the y-axis at 4 not proportional, even when its rate stays constant?
Sort table, graph, and situation cards into proportional and nonproportional groups, then match cards that show the same relationship.
Use grocery ads to test whether total cost is proportional to the number of identical items purchased.

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