Common Core Math · Grade 7

7.RP.A.3 Solve multistep ratio and percent problems

Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

Why water teaches this standard well

This is the second flagship water-math standard: students compute the percent increase on a water-rate hike, the sales tax on a home water-filter purchase, and the percent of a distribution system's water lost to leaks. Multistep percent problems built on real utility rate changes are the centerpiece of the site's grade 7 math content.

Materials tagged with this code are written to the full standard , and each carries a written note explaining the alignment. See how we review materials.

125 materials aligned to 7.RP.A.3

Lesson plans

Grade 7 Lesson plan

Sable Bend's Drought Ration: Ranking Household Water Uses

Students work out a fictional family's daily gallons under a drought limit, find the percent cut required, and decide which uses protect health and get cut last.

Health & Consumer Science 50 min Answer key

Grade 7 Lesson plan

Farriday's Boil-Water Notice: Who Gets Told First

A grade 7 civics lesson in which students study how a fictional water department must notify customers under a boil-water notice, then compute the percentages and costs.

Social Studies & Civics 55 min Answer key

Grade 7 Lesson plan

Who Pays for Tarrowfield's Fire Hydrants?

A grade 7 economics lesson on a fictional town's hydrant costs, in which students compute the yearly cost per account and argue over who should pay for fire protection.

Social Studies & Civics 50 min Answer key

Grade 7 Lesson plan

Ballantry School Taps: A Lead Sampling and Retrofit Plan

A grade 7 lesson where students build a proportional sampling plan for a fictional school's drinking taps, infer how many exceed the action level, and size a retrofit.

Engineering & Design 55 min Answer key

Grade 7 Lesson plan

Threshel Brook Culvert: Criteria for a Farm Road Crossing

A grade 7 lesson where students use a map scale to find a drainage area, size the design flow for a fictional culvert, and separate its criteria from its constraints.

Engineering & Design 50 min Answer key

Worksheets

Grade 7 Worksheet

Pike Hollow PFAS Filter: Sizing Carbon and Flow

Students design a fictional town's carbon filter for PFAS, using percent removal to check each well against the 4.0 ppt limit and sizing the daily flow.

Engineering & Design 40 min Answer key

Grade 7 Worksheet

Testing 250 Taps in the Kestermere Schools

A grade 7 worksheet on a fictional district's lead testing results, using percent shares and filter costs to help a school board set its priorities.

Social Studies & Civics 40 min Answer key

Grade 7 Worksheet

Harwick's Lead Tap Test: Sampling and Probability

A grade 7 worksheet using a fictional town's lead tap results to find the probability a random tap exceeds the action level and decide what to do.

Health & Consumer Science 35 min Answer key

Grade 7 Worksheet

The Twin Rivers Compact: Allocating Water in Acre-Feet

A grade 7 worksheet using a fictional two-state river compact to practice acre-foot conversions and multistep percent problems tied to interstate water allocation.

Social Studies & Civics 40 min Answer key

Math problem sets

Grade 7 Math problem set

Harlow Heights Roof Runoff: A Rain-Capture Problem Set

A grade 7 science problem set on a fictional school's rooftop rain capture, finding runoff gallons, cistern percent captured, and how surface type changes runoff.

Science 45 min Answer key

Labs & experiments

Grade 7 Lab / experiment

Kirkstall Park Splash Pad: A Water Turnover Dilution Test

Groups model a splash pad's water turnovers with food coloring, rate the fading color, and calculate why fresh water alone cannot clean up a contamination event.

Health & Consumer Science 50 min Answer key

Grade 7 Lab / experiment

Lake Tamsett Beach Clarity: A Lifeguard Visibility Test

Students cloud water with measured soil, record the depth where a marked disk disappears, and use the data to judge when a lake beach is too murky to guard.

Health & Consumer Science 55 min Answer key

Classroom activities

Grade 7 Classroom activity

Chalkmere Utility Design Review: Four Constraint Stations

A grade 7 station rotation where teams make one decision at each of four water-utility desks, then compare the constraints that pushed each role toward a choice.

Engineering & Design 60 min Answer key

Grade 7 Classroom activity

Bottled or Tap? A Gullhaven Cost-Per-Gallon Comparison

A grade 7 activity where teams compute the cost per gallon of bottled water versus tap and weigh cost, quality, and waste for a fictional school.

Health & Consumer Science 40 min Answer key

Projects

Grade 7 Project

Slateford Clean-Water Plant Public Art Commission

A grade 7 art project where teams design a scale mural and three tour signs for a fictional clean-water plant within a set budget.

Art & Music 4 sessions, ~200 min total Answer key

Quizzes & test questions

Grade 7 Quiz & test questions

Nettleby's Storm Drain Crew: An Inspection-Season Quiz

A grade 7 careers quiz on a fictional stormwater crew's inspection season, combining map-scale problems, percent items, and questions about crew safety rules.

Careers & CTE 30 min Answer key

Grade 7 Quiz & test questions

Cattail Creek Pollution and Policy: A Grade 7 Quiz

A grade 7 quiz on point and nonpoint water pollution in a fictional watershed, mixing multiple-choice, short-answer, and percent items with a policy question.

Social Studies & Civics 30 min Answer key

Grade 7 Quiz & test questions

Grendon Buys Water From Kilbourne: A Grade 7 Quiz

A 27-point grade 7 quiz on a fictional town choosing between buying treated water from a neighbor and building its own plant, with percent and cost items.

Social Studies & Civics 40 min Answer key

Career spotlights

Grade 7 Career spotlight

The Technician Who Runs Halvergate's PFAS Filters

A grade 7 spotlight on a treatment technician who operates carbon filter vessels for PFAS in the town of Halvergate, with percent-removal questions and a licensing path.

Careers & CTE 35 min Answer key

Grade 7 Career spotlight

The Water Master Who Divides the Tillingham River

A grade 7 spotlight on an irrigation district water master, following a delivery day on the fictional Tillingham River with ratio, percent, and acre-foot questions.

Careers & CTE 40 min Answer key