Wyoming Math 7.RP.3
The Standard
Solve multi-step real-world and mathematical problems involving ratios and percentages.
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 use equivalent ratios or unit rates to solve problems with more than one step. They calculate discounts, tax, or tips using the correct amount at each step.
What Mastery Looks Like
- A student calculates a $60 jacket at 25% off, then 8% tax, as $48.60. They show that the tax is based on the $45 sale price.
Common Misconceptions
- Students may combine discount and tax rates, even though tax is charged on the sale price. They may use 15 instead of 0.15 for 15%, or flip the parts of a ratio.
How to Assess It
- Exit ticket: A $40 jacket is 25% off, then 6% sales tax is added. What is the final price, and which amount did you use to find the tax?
Lesson moves
Ways to Teach It
Give pairs a $25 price tag, a 20% off sticker, an 8% tax card, and play money to build the $21.60 total.
Have students write why 25% off followed by 10% tax on an $80 item does not mean 15% off.
Play a matching game with price, discount, tax, and total cards, including $50, 20% off, 5% tax, and $42.
Compare a 12-ounce cereal box for $3.60 with an 18-ounce box for $5.40 and a 10% coupon; choose the cheaper cost per ounce.
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Printable 7.RP.3 Worksheet
A ready-to-print activity worksheet aligned to 7.RP.3, with an answer key for the teacher on its own page. No account needed.
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