Georgia 7.PAR.4.9
The Standard
Use proportional relationships to solve multi-step ratio and percent problems presented in applicable situations.
Georgia's K-12 Mathematics Standards · Recognize proportional relationships in relevant, mathematical problems; represent, solve, and explain these relationships with tables, graphs, and equations.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students solve situations with more than one ratio or percent step, such as discounts followed by tax or tips. They choose the correct base amount at each step and explain their calculations.
What Mastery Looks Like
- Students identify the correct starting amount for each step and calculate ratios or percentages accurately. They show an equation or proportion for each step and explain what the final value means.
Common Misconceptions
- Students may add a percent to the original amount instead of finding the percent first. They may use the sale price as the base for a discount or stop after only one step.
How to Assess It
- Give this exit ticket: “A $60 jacket is 25% off, then 8% sales tax is added. What is the final price? Show each step.”
Lesson moves
Ways to Teach It
Give pairs store ads, price tags, and calculators to find final costs after discounts, coupons, tax, and tips.
Ask students to explain why taking 20% off and then adding 20% does not return an item to its original price.
Run a percent relay where teams solve cards involving discounts, tax, tips, markups, and percent change, checking each step before advancing.
Have students compare two restaurant bills with different discounts, delivery fees, taxes, and tips to decide which order costs less.
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Printable 7.PAR.4.9 Worksheet
A ready-to-print activity worksheet aligned to 7.PAR.4.9, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 6.NR.4
Solve a variety of contextual problems involving ratios, unit rates, equivalent ratios, percentages, and conversions within measurement systems using proportion...
- 7.PAR.4
Recognize proportional relationships in relevant, mathematical problems; represent, solve, and explain these relationships with tables, graphs, and equations.
- 6.NR.4.3
Solve problems involving proportions using a variety of student-selected strategies.
- 7.PAR.4.3
Determine whether two quantities presented in authentic problems are in a proportional relationship.
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