Maryland Math 7.AT.A.4
The Standard
Solve ratio and percent problems in context (e.g., simple interest, tax, markups and markdowns, tips, commissions, fees, percent increase or decrease, and percent error) by applying proportional reasoning.
Maryland College and Career Ready Standards for Mathematics (2025) · REPRESENT AND REASON ABOUT PROPORTIONAL RELATIONSHIPS TO SOLVE PROBLEMS.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use ratios and rates to solve problems about prices, interest, fees, and measurements. They find the starting amount before calculating a percent change or percent error. They explain what amount each percent is taken from.
What Mastery Looks Like
- A student can find a sale price after a discount and tax, using the reduced price for tax. They can calculate simple interest or commission from a stated rate. They use the original value for percent change and the accepted value for percent error.
Common Misconceptions
- Students may add a discount to the price or calculate tax on the original price after a discount. They may think a 10% increase followed by a 10% decrease returns to the starting amount. For percent error, they may divide by the measured value instead of the accepted value.
How to Assess It
- Exit ticket: A $50 jacket is 20% off, then taxed 6%. Find the final price and label the amount used to calculate each percent.
Lesson moves
Ways to Teach It
Give pairs a $40 price tag, a 25% off sticker, and an 8% tax card; have them calculate the checkout total with play money.
Ask students why 20% off followed by a 20% markup does not restore the original price; have them show both steps using $50.
Play percent match: students pair cards showing a $60 item at 15% off with cards showing $9 saved and $51 paid.
Hand out two phone plan ads, $25 monthly plus a 5% fee or $28 with no fee; students compare six-month costs.
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Related Standards
- 6.AT.A.3
Use ratio and rate reasoning to solve problems in context by reasoning about tables of equivalent ratios, tape diagrams, double number lines, or the Coordinate ...
- 6.AT.A.4
Find a percent of a quantity in context as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity), including finding the whole given a part an...
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