Grade 10 Lesson plan
Pentyre Gorge Hydro Plant: Energy Density of Stored Water
A 50-minute grade 10 lesson where students compute energy per acre-foot and per surface acre for two fictional basins, then pick the quantity that fits.
Common Core Math · High School
HSG-MG.A.2 Apply density in modeling situations
Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).
Why water teaches this standard well
Students apply a density concept of gallons per cubic foot, or people served per unit of treatment-plant capacity, when sizing infrastructure needed for a growing town's population. Density reasoning like this is exactly how utilities size new treatment capacity for future growth.
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.
28 materials aligned to HSG-MG.A.2
Lesson plans
Grade 12 Lesson plan
The Sablefield Polishing Wetland: Loading and Nitrogen Removal
A grade 12 science lesson on treatment wetlands, with handout problems on hydraulic loading rate, areal nitrogen loading, detention time, and removal efficiency.
Worksheets
Grade 10 Worksheet
Morrowfen Lime Softening: Dose, Cost, and Sludge Worksheet
A grade 10 worksheet on a fictional softening plant: hardness removal, quicklime dose in pounds per day, purity correction, chemical cost, and sludge production.
Grade 9 Worksheet
Duskin Community Farm: Drip Irrigation Design Worksheet
A grade 9 worksheet where students size a drip system for a fictional community farm plot, finding flow, run time, and the water it saves over sprinklers.
Grade 10 Worksheet
Alderpoint Filter Loading Rate and Backwash Worksheet
A grade 10 worksheet on filter loading rates at a fictional treatment plant, where students find rectangular filter area, convert MGD to gpm, and size backwash flow.
Grade 10 Worksheet
Skelbourne Basin Yield: Watershed Area and Reservoir Refill
A grade 10 worksheet on a fictional watershed where students convert square miles to acre-feet of runoff and test whether one reservoir covers town demand.
Grade 11 Worksheet
Halstead Springs Sedimentation Basin: Detention and Overflow
A grade 11 worksheet computing basin volume, detention time, surface overflow rate, and weir overflow rate for a fictional plant's rectangular settling basin.
Grade 11 Worksheet
Quillan Bend Filtration Plant: Loading Rate and Detention Time
A grade 11 worksheet on a fictional conventional treatment plant: filter loading rate as a density, basin volume, detention time, and a turbidity compliance check.
Grade 12 Worksheet
Elderton Filtration Plant: Loading, Backwash, Detention
A grade 12 worksheet computing filter loading rates as a density, sedimentation-basin detention time, and a turbidity check for a fictional water treatment plant.
Grade 12 Worksheet
Ospreyfield Digester Gas: Volatile Solids to Kilowatt-Hours
A grade 12 worksheet tracing a fictional plant's sludge from volatile solids destroyed to biogas, energy density in BTU per cubic foot, and generated electricity.
Grade 12 Worksheet
Ridgemoor Well Field: Drawdown, Specific Capacity, and Storage
A grade 12 worksheet on a fictional well field: drawdown, specific capacity, and density reasoning for water stored per square foot and per acre of aquifer.
Grade 12 Worksheet
Wickham Commons: Green Infrastructure Runoff and Detention
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 9 Worksheet
Underhill Plant Filters: Loading Rate and Turbidity Worksheet
A grade 9 worksheet treating filter loading rate as gallons per minute per square foot, sizing Underhill's filters and checking finished-water turbidity limits.
Grade 11 Worksheet
Oakhaven Clarifier: Detention Time and Overflow Rate
A grade 11 worksheet sizing a fictional clarifier by volume, detention time, surface overflow rate, and weir loading, checking detention against the design range.
Grade 12 Worksheet
Reverse Osmosis Flux and Specific Energy at Corravale
A grade 12 science worksheet on a fictional seawater desalination plant: students compute recovery, membrane flux, and the energy penalty per gallon of desalting.
Grade 12 Worksheet
Filter Loading and Backwash Rates at the Marrowbrook Plant
A grade 12 science worksheet using operator math to find filter loading and backwash rates at a fictional plant and check them against the turbidity standard.
Math problem sets
Grade 10 Math problem set
Brindlewick Center-Pivot Irrigation: Area, Volume, and Flow Rate
A grade 10 problem set using circle area and density to size a fictional farm's center-pivot irrigation, from inches of applied water to gallons and flow rate.
Grade 10 Math problem set
Cattail Slough Phosphorus Load: A Grade 10 Nutrient Removal Set
Grade 10 nutrient-control math: students use the pounds formula to find phosphorus loading, the removal needed, and the fertilizer recovered at a recovery facility.
Grade 10 Math problem set
Foxtail Commons Runoff: A Grade 10 Rational-Method Detention Set
Grade 10 stormwater math: students use the rational method to find peak runoff, size a detention basin, and find a composite runoff coefficient.
Grade 10 Math problem set
Oxbow Bend Nitrogen Loading and Water Reuse Problems
A grade 10 problem set applying the pounds formula to nitrogen at a fictional plant, treating the nutrient as both a river pollutant and a fertilizer resource.
Grade 10 Math problem set
Scarrow Bend Clarifier: Circle Geometry and Loading Rates
A grade 10 problem set on a fictional circular clarifier where students use area, volume, and circumference to find overflow rates, detention time, and a new tank size.
Grade 10 Math problem set
Willowmere Aquifer Storage: Volume, Yield, and Overdraft
A grade 10 problem set on groundwater: students find aquifer storage in acre-feet and gallons, apply specific yield, and test pumping against a safe-yield limit.
Grade 12 Math problem set
Primary Clarifier Detention and Overflow at Netherford
A grade 12 science problem set sizing a fictional primary clarifier: volume, detention time, surface overflow rate, BOD removal, and the pounds of BOD removed per day.
Grade 12 Math problem set
Sizing a Bioretention Cell at Redmarch Commons
A grade 12 science problem set that takes a redevelopment site from percent impervious to a treatment volume, a cell footprint, a drawdown time, and a solids load.
Projects
Grade 10 Project
Cawsley Orchards' Allotment: An Irrigation Technician Project
A grade 10 careers project where teams work as irrigation technicians, sizing a season water plan for four orchard blocks under an allotment and a retrofit budget.
Quizzes & test questions
Grade 10 Quiz & test questions
Dunmarrow Treatment Wetland Quiz: Area, Loading, and Removal
A 30-point grade 10 quiz on a fictional constructed wetland covering area in acres, hydraulic loading rate, detention time, and pounds of BOD and nitrogen removed.
Grade 9 Quiz & test questions
Glenmara Treatment Plant: A Process Math Quiz
A grade 9 unit quiz on the fictional Glenmara plant, with computation and multiple-choice items on detention time, filter loading, removal efficiency, and dosing.
Grade 12 Quiz & test questions
Woldmere Regional: A Wastewater and Receiving Water Test
A grade 12 science unit test worth 50 points on wastewater unit processes, loading and detention calculations, and how a discharge affects oxygen in the receiving stream.