Grade 12 Math problem set
Halbrook Water: Uniform Versus Inclining Block Rate Break-Evens
A grade 12 set comparing a uniform water rate with a three-block piecewise rate: two break-evens, interval answers, and a year of seasonal bills.
Water Math · Grade 12
Students practice grade-level mathematics on real utility quantities such as flow rates, tank volumes, and water bills, using the same formulas that appear on operator licensing exams.
67 materials written for this grade · refine by type, topic, or standard in the catalog
Grade 12 Project
Sandalford's New Water Source: Desalination, Reuse, or Conservation
A grade 12 project where teams test desalination, reuse, conservation and a hybrid against supply and budget inequalities, then recommend one to a board.
Grade 12 Worksheet
Aspenmill Dam Releases: A Piecewise Rule and Its Domain
A grade 12 worksheet where students evaluate and invert a three-branch piecewise release rule for a dam, state its domain, and convert cfs into acre-feet.
Grade 12 Lesson plan
Bramleigh Hydrant Flow Test: Flow as a Square-Root Model
A 55-minute grade 12 math lesson in which students model hydrant discharge as a square-root function of pitot pressure and rate a loop against a needed fire flow.
Grade 12 Lesson plan
Fetterly's Rate Increase: When Customers Use Less Water
A 55-minute grade 12 lesson where students model a water utility's revenue against a demand response and solve a quadratic for the rate increase that hits a target.
Grade 12 Classroom activity
Glenrowe Water Age Relay: Tracing Travel Time Through Mains
A 50-minute grade 12 team relay in which students convert flows to velocities, compute pipe travel times, and find which node holds the oldest water.
Grade 12 Project
Jarrowdene Drought Reliability: A Simulated Ten-Year Study
A six-session grade 12 project in which students simulate reservoir storage under three drought policies and report a failure probability with its margin of error.
Grade 12 Worksheet
Kirtlebeck Well 4 Pump Test: Drawdown per Log Cycle
A grade 12 worksheet in which students fit a semi-log drawdown model to a pumping test record, predict later drawdown, and judge an extrapolation.
Grade 12 Lesson plan
Quillsdale Canal Allotment: Choosing Acreage by Corner Points
A 55-minute grade 12 lesson where students model an irrigation allotment as a system of inequalities and test corner points to maximize a grower's net return.
Grade 12 Lesson plan
Shalefoot Coast RO Membranes: Linearizing a Flux Decline
A 60-minute grade 12 lesson where students take logarithms of membrane flux readings, fit a straight line to the transformed data, and predict a cleaning week.
Grade 12 Classroom activity
Verrindale Leak Survey Round: Ranking Segments by Expected Value
A 45-minute grade 12 team round where students compute expected water-loss recovery per survey dollar and choose a leak survey plan under a fixed budget.
Grade 12 Worksheet
Windlestraw Creek Phosphorus: Allocating a Load Reduction
A grade 12 worksheet where students compute four phosphorus loads with the pounds formula, then solve for the percent reduction two sources must share.
Grade 12 Worksheet
Ackworth Tap Sampling: The 90th Percentile and the Lead Rule
A grade 12 worksheet using twenty fictional tap results to build a five-number summary, find the 90th percentile, and test it against the lead action level.
Grade 12 Lesson plan
Aldous and Brenmoor Plants: Comparing Residual Consistency
A grade 12 statistics lesson comparing the mean and spread of daily chlorine residuals from two fictional plants, and testing how one outlier shifts each measure.
Grade 12 Quiz & test questions
Amberton County Nitrate Sampling: A Statistical Inference Quiz
A grade 12 quiz on a fictional county's nitrate monitoring, testing sampling-as-inference reasoning and the evaluation of a biased water-quality report.
Grade 12 Math problem set
Brindlemere Reclamation Plant: BOD Loading and Removal
A grade 12 problem set using the pounds formula to find BOD mass loading and removal efficiency at a fictional reclamation plant.
Grade 12 Math problem set
Coyle Valley Irrigation District: Acre-Feet and Conveyance
A grade 12 problem set on a fictional irrigation district, chaining acre-feet, gallons, MGD, and cfs while accounting for canal conveyance losses and crop water.
Grade 12 Quiz & test questions
Cranmoor Water District Finance and Infrastructure Test
A grade 12 unit test on water infrastructure and utility finance, mixing recall of real US figures with cost math for a fictional water district.
Grade 12 Math problem set
Craymoor Pump Station: Horsepower, Efficiency, and Energy Cost
A grade 12 problem set on pump math: total dynamic head, water and brake horsepower, wire-to-water efficiency, energy cost in kWh, and the pump affinity laws.
Grade 12 Lesson plan
Cresthaven Water Plant: CT Values and Disinfection Targets
A 55-minute grade 12 lesson where students compute CT values from contact time and chlorine residual at a fictional water plant.
Grade 12 Worksheet
Deblin Creek Reclamation: F/M Ratio, Sludge Age, and Loading
A grade 12 wastewater worksheet on activated sludge process control: solids inventory, BOD loading, the F/M ratio, sludge age, and removal efficiency.
Grade 12 Math problem set
Deepwell Booster Station: Dynamic Head and Energy Cost
A grade 12 problem set computing total dynamic head, water and brake horsepower, and daily pumping energy cost for a fictional booster pump station.
Grade 12 Project
Dorwyn Water District: A 20-Year Drought Supply Plan
A grade 12 project where teams forecast a fictional city's water demand with an exponential model and design a supply portfolio that closes the drought gap on budget.
Grade 12 Lesson plan
Draywick Road Culvert: Design Storm Risk Over 50 Years
A 60-minute grade 12 lesson building the exponential risk model for a fictional town's culvert, then sizing it with the rational method and the continuity equation.