Common Core Math · Grade 6

6.RP.A.3 Solve real-world ratio and percent problems

Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations, including finding a percent of a quantity and converting measurement units.

Why water teaches this standard well

This is the workhorse standard for water math: students compute unit prices on a tiered water bill, find what percent of Earth's water is fresh, and convert gallons to liters using ratio tables and double number lines. Nearly every household water-bill and conservation problem the site offers for grade 6 traces back to this one standard.

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.

179 materials aligned to 6.RP.A.3

Lesson plans

Grade 6 Lesson plan

Where to Build Post-and-Brush Dams on Sedge Run

Students weigh three stream reaches against a post supply and a one-day work limit, then choose where a fictional crew should build low post-and-brush dams.

Engineering & Design 55 min Answer key

Grade 6 Lesson plan

Nine Dripping Faucets at Barrowmede Court Apartments

A grade 6 consumer health lesson in which students size household leaks as a percent of normal use and price a fictional apartment building's dripping faucets.

Health & Consumer Science 50 min Answer key

Grade 6 Lesson plan

Reading a Water Bill Like a Utility Billing Clerk

A 45-minute grade 6 careers lesson where students take the role of a utility billing clerk and compute water bills using a usage rate, a fixed charge, and a percent tax.

Careers & CTE 45 min Answer key

Grade 6 Lesson plan

Aridell Fog Catcher Water Harvest Design Lesson

A grade 6 engineering lesson where students size and compare fog-catcher mesh designs for a dry village, using area and unit rates to predict daily water harvest.

Engineering & Design 50 min Answer key

Grade 6 Lesson plan

Bramfell School Backflow Preventer Design Lesson

A 50-minute lesson where students pick a backflow assembly for a fictional school greenhouse, then check the device still leaves enough pressure at the sprinklers.

Engineering & Design 50 min Answer key

Grade 6 Lesson plan

Wrenfield Lead Service Line Replacement Plan Lesson

A grade 6 engineering lesson where students design a phased plan to replace a town's lead service lines on a deadline and budget, then check it with rate and percent.

Engineering & Design 55 min Answer key

Grade 6 Lesson plan

Vellmont's New Well: Measuring Drawdown as You Pump

A 50-minute grade 6 lesson on groundwater where students measure well drawdown from static and pumping water levels and reason about the limits of a shared aquifer.

Science 50 min Answer key

Grade 6 Lesson plan

Where Every Water Dollar Goes in Calverton

A 45-minute grade 6 civics and math lesson where students split a fictional town's monthly water bill into percent shares to see where each utility dollar goes.

Social Studies & Civics 45 min Answer key

Grade 6 Lesson plan

Cutter Hollow Erosion Barrier Design and Sediment Test

Teams model a hillside in a tray, measure sediment reaching a downstream cup, then design and test a barrier that reduces erosion for the fictional town of Cutter Hollow.

Engineering & Design 50 min Answer key

Grade 6 Lesson plan

Mapping the Dunbrook River Watershed: Land Use Upstream

A grade 6 geography lesson where students map the fictional Dunbrook River watershed and calculate what percent of the land upstream is farmland, forest, and urban area.

Social Studies & Civics 45 min Answer key

Grade 6 Lesson plan

Wexbridge's Rate Hearing: A Mock Water Board Role-Play

A grade 6 civics lesson in which students role-play residents, a business owner, and a water board at a fictional town's public hearing on a proposed rate increase.

Social Studies & Civics 45 min Answer key

Worksheets

Grade 6 Worksheet

Choosing a Water Meter Size for the Pinkney Bakery

Students match a fictional bakery's lowest and highest water demands against three meter ranges and charges, then pick a meter and revisit it for a drip line.

Engineering & Design 35 min Answer key

Grade 6 Worksheet

The Alderpine Community Pool Saturday Chemical Log

A grade 6 worksheet on a fictional pool's four daily chlorine and pH readings, covering mean, range, percent change, ratios, and why a chlorine smell misleads.

Health & Consumer Science 40 min Answer key

Grade 6 Worksheet

Acre-Feet on the Cobb Ditch: Sharing a Creek's Water

A grade 6 worksheet on how a ditch company divides a creek by shares, with acre-foot conversions to gallons and cubic feet and a dry-year cut to all shareholders.

Social Studies & Civics 40 min Answer key

Grade 6 Worksheet

Harmon Falls Water Rates: A Rate Analyst Worksheet

A grade 6 careers worksheet where students work as a utility rate analyst, finding percent rate increases and checking a bill against an affordability guideline.

Careers & CTE 35 min Answer key

Grade 6 Worksheet

Northsedge Nutrient Recovery Technician: A Shift Log

A grade 6 careers worksheet where students read a nutrient recovery technician's shift log, finding phosphorus removal percents, a production rate, and a permit check.

Careers & CTE 40 min Answer key

Grade 6 Worksheet

Amboti Village Handpump Well Drawdown Worksheet

A grade 6 engineering worksheet where students design a village handpump well, finding drawdown from water levels and pump output from unit rates and a rate table.

Engineering & Design 30 min Answer key

Grade 6 Worksheet

Otterkill Creek Trash Boom Capture Design Worksheet

A grade 6 engineering worksheet where students design a floating trash boom for a creek, using percent capture, a unit rate, and a ratio table to meet a litter goal.

Engineering & Design 30 min Answer key

Grade 6 Worksheet

Wembrey Ombry Street Leak Sensor Spacing Worksheet

Eleven items where students space leak sensors along an old water main in a fictional town, price the sensor set, and compare what the leaks cost with finding them.

Engineering & Design 35 min Answer key

Grade 6 Worksheet

Selby Lake Nitrogen and Phosphorus Ratio Worksheet

A grade 6 worksheet using ratio language, equivalent ratios, and percent to study how nitrogen and phosphorus act as both nutrients and pollution in a lake.

Math 35 min Answer key

Grade 6 Worksheet

Can Stavely's Water Plant Serve 120 New Homes?

Grade 6 students act as a town water department reviewing a subdivision request, using percent and unit rates to test whether the plant has room for 120 more homes.

Social Studies & Civics 45 min Answer key

Grade 6 Worksheet

Is Lindmoor's Water Bill Affordable? A Percent Worksheet

A grade 6 economics worksheet where students find three fictional families' water bills as a percent of income and test each against a 4.5 percent high-burden guideline.

Social Studies & Civics 30 min Answer key

Grade 6 Worksheet

Reading Thornby's Yearly Water Quality Report

A grade 6 civics worksheet where students read a fictional town's annual water quality report, compare test results to legal limits, and find one result as a percent.

Social Studies & Civics 30 min Answer key

Grade 6 Worksheet

Corrigan Bend Water-Quality Sampling Plan Worksheet

Nine items where students size a river water-quality sampling plan against a coverage rule and a fixed budget, then compare a bulk-price alternative.

Engineering & Design 35 min Answer key

Math problem sets

Grades 6–7 Math problem set

Water Tower Height and Pressure: Unit-Rate Problems

Eight problems that turn the town water tower into unit-rate practice, converting height to pressure with the real 0.433 psi-per-foot rule operators use.

Math 45 min Answer key

Grade 6 Math problem set

Calderway's Log Pages: Which Training Hours Count

A grade 6 careers problem set in which students use one month of a water trainee's log pages to decide which supervised hours count toward a Class 2 operator license.

Careers & CTE 45 min Answer key

Grade 6 Math problem set

Hartsmoor Valve Crew: A Week of Unit Rates

A grade 6 careers problem set on a valve maintenance crew's week, covering valves-per-hour unit rates, percent of a program finished, and decimal multiplication.

Careers & CTE 45 min Answer key

Grade 6 Math problem set

Cottonwood Pump Station Flow Log: Rates and Percents

A grade 6 careers math set where students use a pump operator's flow log to work with gallons-per-minute unit rates, a ratio, a percent full, and one MGD conversion.

Careers & CTE 40 min Answer key

Grade 6 Math problem set

Harrowfield Well 3 Carbon Filter Sizing and Cost Problems

Ten problems in which students size carbon treatment vessels for a fictional town's PFAS-affected well, then work out media cost, yearly cost, and percent of budget.

Engineering & Design 40 min Answer key

Grade 6 Math problem set

Kestrel Farm Buffer Strip Nutrient Runoff Problems

A grade 6 engineering set where students design a grass buffer strip that catches nitrogen and phosphorus runoff, using percent removal, unit rates, and a ratio table.

Engineering & Design 40 min Answer key

Grade 6 Math problem set

Northgate School Low-Flow Fixture Retrofit Problems

A grade 6 engineering set where students plan a fixture retrofit, comparing shower and faucet flow rates to find water and cost savings with percent and an equation.

Engineering & Design 40 min Answer key

Grade 6 Math problem set

Sedgewater Hatchery Aerator Selection Problems

Ten problems where students size an aerator set for a fictional trout hatchery raceway, then compare two models on purchase price, energy use, and years to pay back.

Engineering & Design 45 min Answer key

Grade 6 Math problem set

Sunmeadow Greenhouse Reverse Osmosis Recovery Problems

A grade 6 engineering set where students size a greenhouse reverse osmosis unit using percent recovery, unit rates, and a ratio table of feed water to clean permeate.

Engineering & Design 40 min Answer key

Grade 6 Math problem set

Fenniston Fire Station Roof: Rain into the Cistern

A grade 6 problem set on rainwater harvesting, where students multiply decimals to find roof runoff in gallons and compare it to a cistern's capacity.

Math 45 min Answer key

Grade 6 Math problem set

Foxwell Reservoir: Flow, Ratio, and Percent Problems

A grade 6 problem set on the fictional Foxwell Reservoir, converting acre-feet, cfs, and gpm and finding percent increase and a ratio split of released water.

Math 45 min Answer key

Grade 6 Math problem set

Harlow Home Reverse-Osmosis Recovery Ratio Problems

A grade 6 problem set on a fictional family's under-sink reverse-osmosis filter, using ratios and percent to compare clean water made with water sent to the drain.

Math 40 min Answer key

Grade 6 Math problem set

Larkin Creek Watershed: Land-Cover Ratios and Percents

A grade 6 problem set on the fictional Larkin Creek watershed, finding land-cover acres as percents of the total and writing simplified ratios that compare the parts.

Math 40 min Answer key

Grade 6 Math problem set

Pikewell Farm's Shallow Well: Dividing Fractions

A grade 6 problem set where students divide fractions and mixed numbers to plan watering from a shallow farm well that refills three quarters of a foot per hour.

Math 40 min Answer key

Grade 6 Math problem set

Cape Vorne Desalination: Energy and Recovery Problems

A grade 6 math set comparing a fictional desalination plant's energy use with ordinary treatment, and finding the seawater and brine behind each batch of fresh water.

Science 40 min Answer key

Grade 6 Math problem set

Oakspur Plant Detention Time: How Long Water Settles

A grade 6 science math set where students find a fictional basin's volume, then divide by flow to get detention time and check it against the 2-to-4-hour design range.

Science 40 min Answer key

Grade 6 Math problem set

Bellcreek Filter Club Budget and Unit-Cost Problems

Eight problems where a fictional engineering club tracks filter-material costs, budget percentages, and bulk pricing using a fixed $6.00 team budget.

Engineering & Design 40 min Answer key

Grade 6 Math problem set

Thistle Hollow Rain-Barrel Storage Design Math

Eight problems where students size a rectangular rain-storage tank for a fictional greenhouse roof, using the runoff formula, fractional volume, and percent capture.

Engineering & Design 40 min Answer key

Labs & experiments

Grade 6 Lab / experiment

Hard Water and Soap: The Nettlecrag Suds Test

A grade 6 consumer health lab comparing how many drops of soap it takes to make lasting suds in plain tap water and in water stirred with Epsom salt.

Health & Consumer Science 50 min Answer key

Grade 6 Lab / experiment

Hartsel Reservoir Evaporation Cover Design Lab

A grade 6 engineering lab where students build and test covers to slow evaporation from model reservoirs, then compare water loss to pick the best design.

Engineering & Design 2 sessions, ~60 min total Answer key

Grade 6 Lab / experiment

Which Ground Soaks Up Rain? Tamworth Field Infiltration

A grade 6 lab where students time how fast water passes through sand, loam, and clay, then compute infiltration rates and connect the results to runoff and groundwater.

Science 50 min Answer key

Classroom activities

Grade 6 Classroom activity

Prescott Impervious-Surface Percent Grid Game

A grade 6 team game where students cover a 100-square grid to model a fictional block's paved area, reading each square as one percent to compare stormwater runoff.

Math 40 min Answer key

Writing prompts

Grade 6 Writing prompt

Why Sculley Creek Closes After a Storm in Larchgrove

A grade 6 informative writing prompt asking students to explain a fictional park's rain closure rule for a creek swim area using runoff data and test results.

Health & Consumer Science 2 sessions, ~90 min total Answer key

Grade 6 Writing prompt

Fountains or a Filling Station at Pemberwick Middle School

A grade 6 argument writing prompt with fictional usage counts, survey results, and costs for replacing a school drinking fountain with a filtered filling station.

Health & Consumer Science 2 sessions, ~90 min total Answer key

Projects

Grade 6 Project

Vexford Street Rain Garden: A Grade 6 Design Proposal

A four-session grade 6 project where students size a rain garden with fractional depths, keep it inside a budget, and propose it to a public works committee.

Math 4 sessions, ~180 min total Answer key

Grade 6 Project

The Petrosyan Water Bill: A Halverpine Home Savings Plan

A four-session grade 6 project in which students audit a fictional household water bill, pick three changes, and build a one-page savings plan for the family.

Health & Consumer Science 4 sessions, ~180 min total Answer key

Grade 6 Project

Three Days Without the Tap: A Skelthorne Home Water Plan

A three-session grade 6 project in which students size, price, and lay out a fictional family's stored-water supply for a three-day water main outage.

Health & Consumer Science 3 sessions, ~135 min total Answer key

Grade 6 Project

Emberdale's Capital Plan: Four Projects, One Budget

A four-session grade 6 project where teams fund part of a town's water repair list within a fixed budget and defend the plan to a council panel with evidence.

Social Studies & Civics 4 sessions, ~200 min total Answer key

Quizzes & test questions

Grade 6 Quiz & test questions

Dunnholt Backflow Tester: A Water Careers Quiz

A grade 6 careers quiz on the cross-connection control specialist's job, mixing multiple choice, short answer, and percent and unit-rate computation.

Careers & CTE 30 min Answer key

Grade 6 Quiz & test questions

Testing Hydrants in Orrinbeck: A Valve Technician Quiz

A grade 6 careers quiz on hydrant flow testing, asking students to find pressure drops, a hydrants-per-hour unit rate, and a percent from a crew's day log.

Careers & CTE 35 min Answer key

Grade 6 Quiz & test questions

Ferrow Bend Ice Rink Meltwater Reuse Assessment

A 25-point quiz on a fictional rink's plan to capture and reuse ice-resurfacer meltwater, with multiple-choice and computation items on volume, savings, and fill time.

Engineering & Design 30 min Answer key

Grade 6 Quiz & test questions

Marne Water Plant Settling Basin Design Assessment

A grade 6 engineering assessment where students size a rectangular settling basin, find detention time and removal percent, and pick a design change to meet a goal.

Engineering & Design 30 min Answer key

Grade 6 Quiz & test questions

Lowick Water Plant Tour Quiz: Rates and Conversions

A 25-minute grade 6 quiz worth 26 points, mixing multiple choice, short answer, and computation on flow rates and unit conversions at a water plant.

Math 25 min Answer key

Grade 6 Quiz & test questions

Okafor Household Water Quiz: Percent and Unit Rates

A grade 6 math quiz on a fictional family's water use, mixing multiple-choice, short-answer, and computation items on percent and unit-rate reasoning.

Math 25 min Answer key

Grade 6 Quiz & test questions

Willow Bend Groundwater Quiz: Drawdown, Output, Percent

A 20-point grade 6 quiz on the fictional Willow Bend aquifer, mixing multiple-choice and computation on drawdown, well output, porosity, and percent of an aquifer used.

Math 25 min Answer key

Grade 6 Quiz & test questions

Draymoor's Aging Water Pipes: A Grade 6 Unit Quiz

A grade 6 quiz on aging water infrastructure and utility spending, mixing multiple-choice, short-answer, and percent computation items around a fictional town's pipes.

Social Studies & Civics 25 min Answer key

Grade 6 Quiz & test questions

Pallant Springs Water Department: A Grade 6 Civics Quiz

A 21-point grade 6 quiz on who runs and regulates a town water system, mixing multiple choice, short answer, and percent and unit-rate computation.

Social Studies & Civics 40 min Answer key

Career spotlights