CCSS.Math.Content.7.RP.A.3
The standard
Use proportional relationships to solve multistep ratio and percent problems.
Common Core State Standards for Mathematics · Ratios and Proportional Relationships
What this standard means
Students need to use ratios, rates, and percents to solve problems with more than one step. They should find the whole, the part, or the percent, then apply a second change such as tax, tip, discount, fee, or interest. They need to choose a method and explain it with numbers, tables, equations, or proportions.
Mastery looks like setting up the right relationship before calculating, keeping track of the original amount, and checking if the answer makes sense. Students often mix up percent of change with final price, apply tax before discount incorrectly, or treat a percent as a whole number instead of a decimal.
Ways to teach it
- Give pairs grocery ads, coupons, and tax rates, then have them calculate final costs for three shopping baskets.
- Ask students to write which is better, 20% off then 8% tax or 8% tax then 20% off, and defend it.
- Use an exit ticket with one discount plus tax problem and one percent increase problem requiring a labeled equation.
- Have students compare phone plans with activation fees and monthly costs, then decide which plan is cheaper after six months.
Plan a lesson for CCSS.Math.Content.7.RP.A.3
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Related standards
- CCSS.Math.Content.7.RP.A.2
Recognize and represent proportional relationships between quantities.
- CCSS.Math.Content.8.EE.B.5
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in differen...
- 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.2c
Represent proportional relationships by equations.