CCSS.Math.Content.7.RP.A.2
The standard
Recognize and represent proportional relationships between quantities.
Common Core State Standards for Mathematics · Ratios and Proportional Relationships
What this standard means
Students need to decide whether two quantities have a constant ratio. They should check tables, graphs, equations, and word problems. They need to find the unit rate, write an equation like y = kx, and explain what k means in the situation.
Mastery looks like moving between a table, graph, equation, and story without losing the meaning. Students often get stuck when a table increases by equal amounts but is not proportional, or when a graph is a straight line but does not pass through the origin.
Ways to teach it
- Give pairs ratio cards with tables, graphs, equations, and stories, then have them sort matches and justify each match with the unit rate.
- Ask students to write a short explanation: How can you prove a relationship is proportional using a table, graph, and equation?
- Show three tables and have students label each proportional or not proportional, then circle the evidence they used.
- Use grocery unit prices from a store flyer and have students write equations to compare total cost for different numbers of items.
Plan a lesson for CCSS.Math.Content.7.RP.A.2
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Related standards
- CCSS.Math.Content.8.EE.B
Understand the connections between proportional relationships, lines, and linear equations.
- CCSS.Math.Content.7.RP.A
Analyze proportional relationships and use them to solve real-world and mathematical problems.
- CCSS.Math.Content.7.RP.A.2a
Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observ...
- CCSS.Math.Content.7.RP.A.2c
Represent proportional relationships by equations.