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 Math problem set
A grade 12 problem set on utility finance: revenue requirement, fixed and volumetric charges, a break-even usage, debt-service coverage, and an affordability check.
Grade 12 Lesson plan
A 50-minute grade 12 lesson where students track a fictional reservoir's monthly storage with a water-budget equation and model its decline.
Grade 12 Quiz & test questions
A 45-minute, 40-point grade 12 test on a fictional basin: converting runoff depth to acre-feet and MGD, then reading average rates of change from a storage table.
Grade 12 Worksheet
A grade 12 stormwater worksheet using the rational method: composite runoff coefficients, peak flow in cfs and gpm, and detention volume for a redevelopment site.
Grade 12 Math problem set
A grade 12 problem set on a fictional treatment plant, using the pounds formula to size chlorine dose, demand, hypochlorite feed, and clearwell contact time.
Grade 12 Math problem set
A grade 12 problem set sizing a fictional farm's center pivot, converting crop water need in inches to gallons, then to gpm, MGD, and cfs, and testing a well's capacity.
Grade 12 Lesson plan
A grade 12 lesson where students compute and compare a pay-as-you-go rate surcharge and a revenue-bond surcharge to fund a fictional utility's capital program.
Grade 12 Classroom activity
A grade 12 statistics activity where students draw simulated samples from a fictional watershed to test whether a contamination model matches observed data.
Grade 12 Worksheet
A grade 12 worksheet where students chain MGD, gpm, and cfs conversions and apply the operator pounds formula to set a chlorine feed rate at a fictional treatment plant.
Grade 12 Lesson plan
A grade 12 statistics lesson where students estimate a mean lead level from simulated tap samples and build a margin of error for a fictional water system.
Grade 12 Worksheet
A grade 12 worksheet where students convert a booster pump station's flow among MGD, gpm, and cfs, then use the continuity equation to find pipe velocity.
Grade 12 Project
A grade 12 multi-session project where student teams build a capital improvement and rate plan for a fictional utility, constrained by an affordability limit.
Grade 12 Worksheet
A grade 12 worksheet using a fictional reverse osmosis plant to calculate percent recovery, salt rejection, and concentrate flow from feed and permeate data.
Grade 12 Worksheet
A grade 12 worksheet in which students build and use an exponential decay function for chlorine residual across a fictional town distribution system.
Grade 12 Math problem set
A grade 12 problem set using a regression line fitted to a fictional reservoir's phosphorus and algae data to predict, find a residual, and judge extrapolation.
Grade 12 Lesson plan
A grade 12 lesson using the continuity equation to model how pipe diameter changes affect flow velocity at a fictional pump station upgrade.
Grade 12 Math problem set
A grade 12 problem set chaining the pounds formula and the percent-to-mg/L conversion to size a hypochlorite feed pump at a fictional treatment plant.
Grade 12 Math problem set
A grade 12 problem set applying percent removal and exponential decay functions to BOD data from a fictional wastewater treatment plant.
Grade 12 Quiz & test questions
A grade 12 certification-style practice exam covering chained unit conversions, the pounds formula, tank volume, and detention time for a fictional treatment plant.