Grade 8 Lesson plan
Cressett Point's Salty Wells: Modeling Seawater Intrusion
A grade 8 science lesson using a fictional coastal town's chloride records to model seawater intrusion and design a monitoring and pumping plan for the aquifer.
Common Core Math · Grade 8
8.EE.C.7 Solve linear equations in one variable
Solve linear equations in one variable, including equations with variables on both sides, and recognizing equations with one solution, infinitely many solutions, or no solutions.
Why water teaches this standard well
Students solve a linear equation to find how many months of water savings it takes for a low-flow fixture upgrade to pay for itself, setting the upgrade's cost equal to its monthly savings times an unknown number of months. Solving for a break-even point in months is a genuine household budgeting question.
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27 materials aligned to 8.EE.C.7
Lesson plans
Grade 8 Lesson plan
Staffing Aldermist's Recycled Water Program: A Careers Lesson
A 55-minute grade 8 careers lesson where students model a fictional recycled water program's growth with a linear function and decide when a second operator is needed.
Grade 8 Lesson plan
Kelvedge Main Repairs: One, No, or Many Solutions
A 55-minute grade 8 lesson where students solve cost equations for fictional pipe-repair contracts and sort them into one solution, no solution, and infinitely many.
Grade 8 Lesson plan
The Amberlock Canal: Freight Costs and Where Towns Grew
A grade 8 lesson in which students write and solve a freight-cost equation for a fictional canal, then use it to explain why canal towns grew faster.
Grade 8 Lesson plan
Ravensmoor Lead Line Replacement: A Function from a Table
A grade 8 lesson in which students build a linear function from a fictional city's lead service line records and test whether the pace meets a ten-year deadline.
Grade 8 Lesson plan
Brindley Crossing: Ultraviolet Dose Compared With Chlorine
A 55-minute grade 8 science lesson where students calculate ultraviolet dose from contact time and flow at a fictional plant, then compare it with chlorine.
Grade 8 Lesson plan
Cliffmere Water Plant: Modeling the Multi-Barrier Process
A 55-minute grade 8 science lesson where students track turbidity through a fictional treatment plant and solve a linear equation for the chlorine dose.
Grade 8 Lesson plan
Ironbridge Community Garden's New Pump: A Break-Even Equation Lesson
A 45-minute grade 8 lesson writing and solving a linear equation to find the break-even operating hours between two irrigation pump options.
Grade 8 Lesson plan
Twin Forks' Elevated Tank: Building a Linear Function for Water Level
A 45-minute grade 8 lesson where students use overnight tank-level data to find a rate of change and initial value, build a linear function, and predict a target level.
Worksheets
Grade 8 Worksheet
Mortlake Alum Feed: Equations With Variables on Both Sides
A grade 8 worksheet from a fictional plant's chemical log, where students expand parentheses, clear fractions and decimals, and solve for one variable.
Grade 8 Worksheet
Cottersby's Pelham Row Main: Repair Every Year or Replace Once?
A grade 8 worksheet where students model a village's repair and replacement costs as linear equations, solve for the crossover year, and meet a no-solution case.
Grade 8 Worksheet
Belmoor's Water-Main Replacement Budget: A Linear Function Worksheet
A grade 8 worksheet where students build linear cost functions for replacing aging water mains, solve for feet within a budget, and compare two contracts.
Grade 8 Worksheet
Nakamura Family Fixture Upgrade: A Grade 8 Water-Savings Worksheet
A grade 8 consumer-science worksheet on home water savings, using scientific notation for yearly gallons and a linear equation to find a fixture's payback time.
Grade 8 Worksheet
Ferngap Dam Release Schedule: Solving Linear Equations
A grade 8 worksheet on writing and solving one-variable linear equations for two reservoir levels, including equations with variables on both sides.
Grade 8 Worksheet
Ryegate Treatment Plant: Solving Linear Equations for Daily Operations
A grade 8 worksheet of one-variable linear equations at a fictional treatment plant, with variables on both sides and one, none, or infinite solutions.
Grade 8 Worksheet
Falkirk Heights Pressure Zones: Solving for Head and Pressure
A grade 8 science worksheet where students convert head to pressure on a fictional hillside system and solve linear equations for an unknown tank elevation.
Grade 8 Worksheet
Quillfoot's Hydrant Flow Test: Velocity in the Water Main
A grade 8 science worksheet using Q = A x V on a fictional district's hydrant test to find velocity, travel time, and whether pressure stays above the required minimum.
Grade 8 Worksheet
Hartley Mills Wastewater: Basin or Constructed Wetland
A grade 8 worksheet solving a break-even cost equation for two wastewater treatment options and calculating BOD removal efficiency against a compliance standard.
Grade 8 Worksheet
Meridian Hollow Standpipe: Solving Linear Equations for Tank Drawdown
Nine problems where a fictional standpipe's fill and drain rates become linear equations, including two items on no-solution and infinite-solution cases.
Grade 8 Worksheet
Sizing Ashford Falls' Water Treatment Plant: Operator Career Math
A grade 8 worksheet combining scientific notation and one-variable equations with real operator wage and workforce data at a fictional treatment plant.
Math problem sets
Grade 8 Math problem set
Winnowbrook's Lead Service Lines: Crew Cost Versus Contractor Bid
A grade 8 problem set where students write and solve a system of equations to compare an in-house replacement crew with a contractor bid for lead service lines.
Grade 8 Math problem set
Kessington Row Lead Lines: Comparing Two Crew Rates
A grade 8 set on a lead service line replacement program where students write two linear equations, solve for the week the crews match, and interpret a no-solution case.
Grade 8 Math problem set
Quillon Marsh Phosphorus Cleanup: Solving Linear Equations
A grade 8 problem set where students write and solve one-variable linear equations for the phosphorus left in a fictional marsh as a cleanup wetland removes it.
Grade 8 Math problem set
Snowbrake Basin Snowmelt: Equations for Two Reservoirs
A grade 8 problem set on solving linear equations with variables on both sides, set in a fictional mountain basin where one reservoir rises as another falls.
Grade 8 Math problem set
Copperline Township Lead Testing: Equations for Corrosion Control
Eight problems modeling a fictional town's declining lead readings with linear equations, comparing results against the real current and 2027 federal action levels.
Quizzes & test questions
Grade 8 Quiz & test questions
Ospreyville Phosphorus Cleanup: A Grade 8 Unit Test
A grade 8 unit test on functions, unit rates, linear equations, and volume, set in a fictional town reducing phosphorus in the Sallowbrook River.
Grade 8 Quiz & test questions
Verdant Springs Water Utility: A Grade 8 Functions and Data Test
A grade 8 unit test on a fictional water utility covering linear functions, slope, solving equations, and fitting a line to scatter plot data.