NY Next Generation Math NY-7.RP.3

Math7th GradeAnalyze proportional relationships and use them to solve real-world and mathematical problems.

The Standard

Use proportional relationships to solve multistep ratio and percent problems.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students use proportional relationships to solve multistep ratio and percent problems. They handle discounts, markups, taxes, tips, commissions, fees, percent increase, percent decrease, and percent error.
What Mastery Looks Like: The student organizes each percent as a rate per 100 and completes all steps accurately. The student distinguishes the original amount, change, and final amount.
Common Misconceptions: Students may add a percent number directly to a dollar amount. They may calculate the percent change correctly but forget to add or subtract it from the original.
How to Assess It: Ask students to find the final price of an $80 jacket after a 25 percent discount and 8 percent sales tax. Require both stages.

Lesson moves

Use price tags and percent cards to model discounts, markups, taxes, and tips in sequence.
Ask students why applying a 20 percent increase and then a 20 percent decrease does not restore the original amount.
Play Percent Path with multistep cards for change, tax, tip, and commission.
Analyze a restaurant bill with a discount, sales tax, and tip.

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