Wyoming Math 7.RP.2a

Math7th GradeRatios and Proportional Relationships

The Standard

Recognize and represent proportional relationships between quantities. Decide whether two quantities in a table or graph are in a proportional relationship.

2023 Wyoming Mathematics Content and Performance Standards · Analyze proportional relationships and use them to solve real-world and mathematical problems.

Teacher's field guide

What This Standard Means

What Students Need to Do: Students compare paired amounts in tables and graphs. They decide whether one amount is always the same multiple of the other and show how they know.
What Mastery Looks Like: They find the same y ÷ x for every table row where x is not zero. On a graph, they recognize points on a straight line through (0, 0) as proportional.
Common Misconceptions: Students may think a table is proportional because both amounts increase, even when the ratios change. They may call any straight graph proportional, even if it does not pass through (0, 0).
How to Assess It: Exit ticket: A table lists (2, 3), (4, 6), (6, 9), while a straight graph goes through (0, 2) and (2, 5). Which relationship is proportional? Give one reason for each.

Lesson moves

Ways to Teach It

Give pairs red and blue tiles to build groups of 2 red and 3 blue, then record totals and plot the pairs.
Show tables with pairs (2, 5), (4, 10), (6, 15) and (2, 5), (4, 10), (6, 14); ask students to explain which is proportional.
Play a card sort with tables and graphs; partners sort each card as proportional or not and justify each choice.
Show taxi fares for 0, 1, and 2 miles with a $4 start fee and $2 per mile; ask why the fares are not proportional.

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