Grade 8 Lesson plan
Kettleback River Gauge: Forecasting a Flood Crest
A grade 8 science lesson in which students build a linear function from a fictional river gauge table, predict the flood crest, and test where the model fails.
Common Core Math · Grade 8
8.F.B.4 Construct a linear function to model a relationship
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description, a table, or a graph, and interpret them in terms of the situation modeled.
Why water teaches this standard well
Students build a linear function for a draining tank's water level over time, interpreting the rate of change as the outflow rate and the initial value as the tank's starting depth. Modeling a real drain or fill rate as a linear function directly previews the function work engineers use to size a tank's drawdown.
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.
43 materials aligned to 8.F.B.4
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
Pellstock School Rooftop Condensate: A Recovery Design Lesson
A 55-minute grade 8 lesson where students set criteria and constraints for capturing air conditioner condensate, then model the storage tank with a linear function.
Grade 8 Lesson plan
Kettle Creek Runners' Hydration: A Grade 8 Linear Function Lesson
A grade 8 health and PE lesson where students model a cross-country runner's fluid loss and water-bottle level as linear functions of practice time.
Grade 8 Lesson plan
Merrow Falls Water Rate Plans: A Grade 8 Systems of Equations Lesson
A grade 8 consumer-science lesson where students write each of two town water-rate plans as a linear equation and solve the system to find the break-even usage.
Grade 8 Lesson plan
Pinewick Well Drawdown: Building a Linear Function
A 50-minute grade 8 lesson where students build and interpret a linear function for the water depth in a fictional well as its pump draws the level down.
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
Solano Flat Reservoir Evaporation: Building a Linear Function
A 50-minute grade 8 lesson where students build a linear function for a reservoir losing depth in a dry spell and read its slope and starting value.
Grade 8 Lesson plan
Cindermere's Combined Sewer: Sizing a Storm Storage Tunnel
A 50-minute grade 8 science lesson in which students build a linear function from storm data for a fictional city and decide how large a sewer storage tunnel must be.
Grade 8 Lesson plan
Havenport's Aging Water Mains: A Linear Replacement Plan
A 50-minute grade 8 lesson where students model a fictional town's cast-iron water main replacement with linear functions for miles remaining and cumulative cost.
Grade 8 Lesson plan
Sunflower Flats Aquifer: A Linear Model of Storage Loss
A 50-minute grade 8 science lesson where students build a linear function for a fictional aquifer's storage as pumping outpaces recharge, then interpret its slope.
Grade 8 Lesson plan
Prairie Junction Booster Station: Linear Functions from a Table
A 50-minute grade 8 lesson where students build a linear function from a booster pump station's volume data table, finding rate of change and initial value.
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
Marlin Quay Storm Inlet Screens: Choosing a Bar Spacing
A grade 8 worksheet using five tested inlet screen designs: students model flow as a linear function of bar spacing, then pick the one design meeting all three criteria.
Grade 8 Worksheet
Blencathra Dam Release: A Function From Two Readings
A grade 8 worksheet where students build linear functions for a fictional dam's reservoir and tailwater from only two gage readings each.
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
Nordhaven's Overnight Tank Trend: Reading an Operator's Chart
A grade 8 worksheet where students read a fictional utility's overnight tank-level log, find rates of change, build a linear function, and predict an overflow time.
Grade 8 Worksheet
Vellum Springs Drought Stages: Reading a Shortage Plan
A grade 8 worksheet in which students read a town's four-stage drought plan, model falling reservoir storage with a linear equation, and predict when each stage begins.
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
Sable Reach Brook: Reading a Streambed Slope Profile
A grade 8 worksheet turning a streambed survey table into a linear function, comparing two reach slopes, and placing rock riffles where storm flow runs fastest.
Grade 8 Worksheet
Bellweather Household Water Bill: A Grade 8 Tiered-Rate Worksheet
A grade 8 consumer-science worksheet where students convert CCF to gallons, compute a tiered water bill, and write the bill as a linear equation.
Grade 8 Worksheet
Tallowfield Digester Records: Function Tables and Rules
A grade 8 worksheet using a fictional water reclamation plant's digester records to decide which tables are functions and to write the rule for one of them.
Grade 8 Worksheet
Water Operator Careers at Coldwater Bluff: Reading and Staffing
Grade 8 students read about water-operator careers, license classes, and pay, then build a linear function for a fictional utility's plan to fill open operator jobs.
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
Ferngate School Rain Barrels: Modeling Roof Runoff Capture
A grade 8 science worksheet where students build a linear function for roof runoff, predict the most water caught per storm, and connect the model to stormwater control.
Grade 8 Worksheet
Two Water-Career Pay Paths: Linear Functions and Break-Even
A grade 8 worksheet where students model two fictional water-career pay paths as linear functions and solve a system to find the year the salaries become equal.
Grade 8 Worksheet
Foxhollow School Rainwater Cistern: A Linear Function Worksheet
A grade 8 worksheet modeling a rainwater cistern's fill, hold, and drain phases as linear functions of time, interpreting the rate of change from each phase.
Math problem sets
Grade 8 Math problem set
Sunmarch Ridge's Solar Well Pump: Building a Linear Function
A grade 8 set where students build and use linear functions for a solar well pump, combining a steady fill rate, a starting amount, and daily household use.
Grade 8 Math problem set
Coldharbor Cove Desalination Costs: Building a Linear Function
A grade 8 problem set where students build a linear cost function for a fictional desalination plant, identify its rate of change and initial value, and evaluate it.
Grade 8 Math problem set
Meridian Water Bills: Linear Functions for Two Rate Plans
A grade 8 problem set where students write and compare linear functions for two fictional water-bill rate plans, find the break-even usage, and check affordability.
Grade 8 Math problem set
Dunmore Desalination Energy: Two Linear Functions Compared
A grade 8 science problem set where students model a fictional town's reverse-osmosis and conventional plant energy use as linear functions and compare the two slopes.
Grade 8 Math problem set
Pinehurst Well Drawdown: Linear Functions for Pumping
Grade 8 students model a fictional well's drawdown and pumping level as linear functions of pumping rate, then check finite aquifer storage with scientific notation.
Grade 8 Math problem set
Sarsen Basin Snowpack: A Linear Model of Spring Melt
A grade 8 science problem set on a fictional basin's snow course: rate of change in snow water equivalent, melt-out dates, and basin storage in scientific notation.
Grade 8 Math problem set
Cobalt Springs Pump Station: A System of Equations for Two Tanks
A grade 8 math problem set where students write linear equations for two storage tanks and solve the system to find when their volumes are equal.
Grade 8 Math problem set
Denton Ridge Water Bills: Comparing Two Rate Plans with Linear Systems
A grade 8 math set where students write linear equations for two water-billing plans and solve the system to find the exact usage level where both plans cost the same.
Classroom activities
Grade 8 Classroom activity
Ottermill Bend Meter Test Bench: Modeling Three Meter Errors
A grade 8 station activity where teams pour known volumes through three rigged water meters, then write the linear function that describes each meter's error.
Grade 8 Classroom activity
Wolverton Commons Fixture Payback: A Linear Function Station Rotation
A grade 8 station rotation where groups build net-savings functions for water-saving fixtures at a fictional apartment and find each fixture's payback month.
Grade 8 Classroom activity
Meadowlark Pump Station Function Match: A Grade 8 Card Sort Relay
A 40-minute relay activity where grade 8 teams race to match equations, tables, graphs, and descriptions of four fictional pump station functions.
Projects
Grade 8 Project
Keswold Heights Pump Outage: A Household Water Readiness Plan
Teams plan three days of safe water for a household on a fictional hilltop where power cuts stop the booster pump, then write a neighbor guide for the boil notice.
Grade 8 Project
Wickmoor Well Field Drought Triggers: Designing a Response Plan
A four-session grade 8 project in which teams design a staged drought trigger plan from well-level data and defend it to a water board with a one-page notice.
Grade 8 Project
Brindlecombe Constructed Wetland: A Grade 8 Sizing Project
A four-session grade 8 project where teams build a flow function, size a treatment wetland and a holding tank, and pitch the design to a fictional village board.
Quizzes & test questions
Grade 8 Quiz & test questions
Kingfisher Mills Water System: A Grade 8 Volume and Functions Test
A grade 8 unit test on a fictional town's water system covering scientific notation, tank volume, systems of equations, and linear functions.
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.