Grade 10 Lesson plan
Dovegate Cast-Iron Mains: Pipe Lining or Open-Cut Replacement
A grade 10 lesson comparing cured-in-place lining with open-cut replacement for a fictional town's 1920s water mains, using annualized cost and a break-even price.
Common Core Math · High School
HSG-MG.A.1 Use geometric shapes to describe real objects
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).
Why water teaches this standard well
Students model a water tower's tank as a cylinder or a spherical storage tank as a sphere to estimate its capacity from measured dimensions. Choosing the right geometric shape to approximate a real tank is the first step in any tank-sizing calculation an engineer performs.
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.
55 materials aligned to HSG-MG.A.1
Lesson plans
Grade 10 Lesson plan
Wrapping the Selkirk Water Tower: A Grade 10 Surface-Area Design
A grade 10 art and design lesson where students size a painted graphic wrap for a cylindrical water tower using lateral surface area and a scale mock-up.
Grade 10 Lesson plan
Thrapston School Flushing: Pipe Volume Before a Lead Sample
A 50-minute grade 10 lesson where students model school plumbing as cylinders to find how many gallons stand in the pipes and how long a flush must run.
Grade 10 Lesson plan
Millhollow Sedimentation Basin: Volume and Detention Time Lesson
A grade 10 lesson where students find a sedimentation basin's volume, convert it to gallons, and use the detention-time formula to size a treatment plant's flow rate.
Grade 12 Lesson plan
Sable Ridge Pump Station: Pipe Diameter, Velocity, and Continuity
A grade 12 lesson using the continuity equation to model how pipe diameter changes affect flow velocity at a fictional pump station upgrade.
Worksheets
Grade 10 Worksheet
Aldermoss Carbon Vessels: PFAS Bed Volumes and Changeout
A grade 10 worksheet where students size a fictional carbon vessel as a cylinder, find contact time and bed volumes per day, and solve for the changeout date and cost.
Grade 9 Worksheet
Farnhollow Digester Biogas: Volume, Detention Time, and Energy
A grade 9 worksheet on a wastewater plant's anaerobic digester: cylinder volume, detention time, solids loading, and the electricity its biogas engine makes.
Grade 11 Worksheet
Shalecombe Creek Stream Gauging: A Field Technician Worksheet
A grade 11 careers worksheet in which a watershed technician gauges a creek by the mid-section method, totals discharge, and converts it to gpm, MGD, and a daily volume.
Grade 11 Worksheet
Glenmark Bend Plant Residuals: Solids Loading and Drying Beds
A grade 11 worksheet on water plant residuals: students find solids loading with the pounds formula, size a drying bed, and compare hauling costs before and after drying.
Grade 11 Worksheet
Havenlock Water Tower Elevation: A Scale Drawing Sheet
Grade 11 students size a dimensioned elevation of a fictional water tower, choose a scale that fits the sheet, and set the drawing's text and scale bar.
Grade 9 Worksheet
Scaling a Norwick Water Tower Mural: A Grade 9 Geometry Worksheet
Grade 9 art and geometry worksheet where students model a water tower tank as a cylinder and scale a mural design using linear and area scale factors.
Grade 10 Worksheet
Marlin Cove Water Main: A Grade 10 Pipe Hydraulics Worksheet
A grade 10 worksheet sizing a fictional coastal water main: cross-sectional area, flow-to-velocity conversions, and the pressure a tank height delivers to the taps.
Grade 10 Worksheet
Cliffmere Transmission Main: Flow, Velocity, and Continuity
A grade 10 worksheet applying Q = A x V to a fictional transmission main: circle area, velocity checks against a design limit, and cfs, gpm, and MGD conversions.
Grade 10 Worksheet
Cragmont Wellfield: Drawdown and Casing Volume Worksheet
A grade 10 geometry worksheet where students find well drawdown, specific capacity, and casing water volume for a fictional town's groundwater production well.
Grade 11 Worksheet
Tilbourne Hollow's Detention Basin: Volume, Storage, and Drawdown
A grade 11 worksheet on a fictional town's stormwater detention basin, using sloped-side geometry, acre-feet, design-storm runoff, and drawdown time.
Grade 12 Worksheet
Northgate Business Park: Detention Basin and Pipe Flow
A grade 12 worksheet applying the rational method and the continuity equation to size a fictional business park's storm outlet pipe and detention basin.
Grade 9 Worksheet
Ormsleigh School's Rain Cistern: Roof Yield and Tank Size
A grade 9 worksheet where students model a fictional school cistern as a cylinder, find the roof runoff from a storm, and size the tank to hold it.
Grade 9 Worksheet
Ridgecomb Booster Station: Pipe Flow and Pressure Math
A grade 9 science worksheet where students use operator formulas to find pipe flow, convert units, and calculate pump pressure for a fictional town's booster station.
Grade 10 Worksheet
Grindstone Reservoir Elevated Tank: Volume and Pressure Worksheet
A grade 10 engineering worksheet on a fictional elevated storage tank, calculating tank volume and the water pressure its height delivers to neighborhoods below.
Grade 10 Worksheet
Hartshorn Heights Booster Pump: Pipe Flow and Elevation Pressure
A grade 10 worksheet where students model a pipe as a circle, apply the continuity equation, and find elevation-driven pressure loss for a fictional booster pump station.
Grade 10 Worksheet
Cobre Vista's New Water Tank: Cylinder vs. Sphere Design Worksheet
A grade 10 geometry worksheet where students model cylindrical and spherical elevated-tank designs for a fictional town, comparing volume and surface-area efficiency.
Math problem sets
Grade 10 Math problem set
Askwith Heights Pressure Zone: Distribution Operator Math
A grade 10 careers math set following a distribution operator through a low-pressure complaint and a flushing run, using head, pressure, flow, and pipe volume.
Grade 12 Math problem set
Ludderby Creek Reclamation Plant: Operator Loading Math
Grade 12 operator-exam problem set on BOD and TSS loading, removal efficiency, basin volume, and detention time at a fictional water reclamation facility.
Grade 10 Math problem set
Kestrel Junction PFAS Adsorber: A Grade 10 GAC Sizing Problem Set
Grade 10 engineering math sizing a granular activated carbon adsorber for PFAS removal: flow splits, loading rate, bed volume, contact time, and the 4.0 ppt limit.
Grade 9 Math problem set
Brindlecote Intake Screen: Sizing for Through-Screen Velocity
A grade 9 set where students convert a fictional town's river intake flow from MGD to cfs, then size a cylindrical wedge-wire screen to hold through-screen velocity down.
Grade 9 Math problem set
Fennbrook Carbon Adsorber: Sizing a PFAS Removal Vessel
A grade 9 set that sizes a fictional granular activated carbon vessel for PFAS removal, using cylinder volume, empty bed contact time, and bed volumes.
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
Larkhollow Lift Station Pump Cycle Problem Set
A grade 10 problem set on a fictional wastewater wet well: students find its working volume, fill and pump-down times, cycle length, and daily pump starts.
Grade 10 Math problem set
Pallenford Main Canal: Trapezoid Area and Flow Rate Problems
A grade 10 problem set where students model a fictional irrigation canal as a trapezoid, find its flow with Q = A × V, and convert cubic feet per second to acre-feet.
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 11 Math problem set
Larkmoor Junction Transmission Main: Flow, Velocity, and Pipe Geometry
A grade 11 problem set modeling a fictional transmission main as a cylinder, converting MGD to gpm and cfs, and using Q = A x V for velocity, volume, and travel time.
Grade 12 Math problem set
Halloway Standpipe: Storage, Fire Flow, and Pressure
A grade 12 problem set sizing a fictional town's standpipe, converting elevation to service pressure, and checking whether stored water meets a two-hour fire-flow demand.
Grade 10 Math problem set
Glenmoor Clearwell: Chlorine Contact Time and CT Values
A grade 10 problem set on disinfection where students size a clearwell, find contact time with a baffling factor, and compute the CT a fictional plant achieves.
Grade 10 Math problem set
Greywillow Plant: Detention Time and Filter Loading Rates
A grade 10 problem set at the fictional Greywillow treatment plant, computing basin volume, detention time, and filter loading rate and comparing each to design ranges.
Grade 10 Math problem set
Quintara Heights Pressure Zones: Head, Pressure, and Storage
A grade 10 problem set where students convert elevation head to pressure, size a cylindrical tank in gallons, and find supply time for a fictional hilly utility.
Grade 12 Math problem set
Mid-Section Gauging on the Denbrook and a Withdrawal Limit
A grade 12 science problem set in which students compute stream discharge from nine measured verticals, then test a town's intake against two permit conditions.
Grade 9 Math problem set
Elmcrest Storage Tank: Fire Flow, Reserve, and Volume
A grade 9 problem set where students model a fictional town's cylindrical tank, find its volume in gallons, and track how much water a two-hour fire flow draws down.
Grade 9 Math problem set
Orrick Treatment Plant: Detention Time and Filter Loading
A grade 9 problem set where students find a sedimentation basin's detention time and a sand filter's loading rate for a fictional treatment plant.
Grade 10 Math problem set
Whitmore Bend Plant Chlorine Dosing: A Grade 10 Pounds-Formula Set
A grade 10 math set sizing chlorine disinfection at a fictional plant: the pounds formula, chlorine demand, flow conversions, and clearwell contact time.
Grade 10 Math problem set
Talus River Well Field: Pumping and Tank Fill-Time Problems
A grade 10 math problem set where students use the continuity equation and cylinder volume formula to size pipe flow and tank fill time for a well field.
Classroom activities
Grade 12 Classroom activity
Wendrow Street Pump Teardown: An Exploded-View Layout Critique
Grade 12 teams turn a fictional pump's part list into an exploded-view layout for a repair manual page, then trade layouts in a timed studio critique and revise.
Grade 11 Classroom activity
Wynndale Main Replacement: A Quantity Take-Off Workshop
A grade 11 estimating workshop in which teams build a unit-price bid for a water main replacement, then reprice it when field crews hit unexpected rock.
Grade 10 Classroom activity
Nettle Brook Watershed Mural: A Grade 10 Grid-Enlargement Relay
A grade 10 team activity where students enlarge a watershed master drawing onto a wall grid with the grid method, calculating scale factor and finished size.
Grade 10 Classroom activity
Storm Drain Stencil Campaign: A Grade 10 Scale-Design Activity
A grade 10 design activity where teams create a storm-drain stencil warning, scale it to full size, calculate paint needed, and pitch it as a real civic campaign.
Reading passages
Grade 10 Reading passage
Mussels in the Carrowmere Intake: A Biofouling Case Study
A grade 10 science passage on how invasive quagga mussels colonize a lake intake, what they do to the food web, and how a utility weighs treatment against prevention.
Projects
Grade 10 Project
Fernbrook High Rainwater Cistern: A Sizing Design Project
Grade 10 teams size a 3,000-gallon rainwater cistern for a fictional school, pricing the tank by its surface area to meet a $5,000 budget and a 12-foot pad.
Grade 9 Project
Thurlby's Stormwater Fee: Setting a Rate and a Credit Schedule
A five-session grade 9 project where teams measure hard surfaces, build a revenue equation for a town stormwater fee, and defend a credit schedule to a council panel.
Grade 10 Project
Tarnbury Pressure Zones: Designing for 40 to 80 psi on a Hillside
A five-session grade 10 project where teams divide a fictional hillside town into pressure zones, size each zone's tank, and defend the plan against a capital budget.
Quizzes & test questions
Grade 11 Quiz & test questions
Hollenmarsh Digester Operations: A Biosolids Operator Quiz
A grade 11 careers quiz on running anaerobic digesters at a water resource recovery facility, covering volume, detention time, solids loading, and biogas.
Grade 10 Quiz & test questions
Thorncastle Main Replacement: A Construction Inspector Quiz
A grade 10 careers quiz on the water main construction inspector role, covering pipe volume, disinfection dosing, pressure testing, and trench quantity math.
Grade 10 Quiz & test questions
Kilnbury Water Main Thrust Blocks: A Grade 10 Design Test
A grade 10 engineering unit test on thrust restraint: students find the force at a capped end and at a bend, then size the concrete block that holds the fitting.
Grade 9 Quiz & test questions
Dunhaven Water Storage and Distribution: A Unit Test
A grade 9 test on a fictional water system covering tank volume, pressure from head, demand conversion, and fire-flow reserve, with choice and computation items.
Grade 10 Quiz & test questions
Northgate Operator Math: A Water Plant Unit Test
A grade 10, 30-point unit test on operator math: pressure, flow conversions, the pounds formula, tank volume, and detention time at a fictional water plant.
Grade 10 Quiz & test questions
Silverton Standpipe Geometry and Hydraulics Quiz
A 30-point grade 10 quiz mixing multiple choice, computation, and short answer on cylinder volume, pressure from height, and continuity for a fictional water district.
Grade 12 Quiz & test questions
Marston Regional Water: Hydraulics and Distribution Test
A grade 12 unit test mixing multiple-choice, short-answer, and computation items on pressure, head, tank volume, and pipe flow for a fictional regional water system.