Common Core Math · High School

HSN-Q.A.2 Define appropriate quantities for modeling

Define appropriate quantities for the purpose of descriptive modeling.

Why water teaches this standard well

Students decide whether to model a city's water demand using total gallons, gallons per capita per day, or gallons per household, choosing whichever quantity best answers the planning question at hand. Selecting the right quantity to model is a decision real water-resource planners make before a single calculation begins.

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58 materials aligned to HSN-Q.A.2

Lesson plans

Grade 11 Lesson plan

Stonecross Rainfall Bands: A Woven Data Lesson

Grade 11 students encode a year of fictional rainfall as stripe widths on a woven band, choosing a scale that fits a fixed warp length.

Art & Music 2 sessions, ~90 min total Answer key

Grade 12 Lesson plan

Haleboro's Aging Mains: Replacement Rate and Backlog

A grade 12 lesson where students compute a water system pipe replacement rate, cycle, funding gap, and backlog, then link the results to an infrastructure grade.

Math 55 min Answer key

Worksheets

Grade 9 Worksheet

Dividing the Ferncliffe Coatings PFAS Settlement Fund

A grade 9 worksheet in which students test three ways of splitting a fictional PFAS settlement among three water systems and decide who pays the remainder.

Social Studies & Civics 55 min Answer key

Grade 10 Worksheet

Pennyford Sanitary Sewer: Inflow and Infiltration Math

A grade 10 worksheet measuring storm water leaking into a fictional town's sanitary sewer, then pricing the extra treatment and testing what a lining project would fix.

Engineering & Design 45 min Answer key

Grade 12 Worksheet

Sitwell Basin Aquifer Storage and Recovery Worksheet

A grade 12 worksheet on a fictional aquifer storage and recovery project: porosity from core samples, recoverable storage in acre-feet and gallons, and injection math.

Engineering & Design 40 min Answer key

Grade 10 Worksheet

Copperline Water Authority Flow Conversion Worksheet

A grade 10 worksheet chaining unit conversions for a fictional river withdrawal: MGD to gpm to cfs, gallons to acre-feet, and pipe area from the continuity equation.

Math 45 min Answer key

Grade 12 Worksheet

Nitrification Stoichiometry and Alkalinity at Cawdry

A grade 12 science worksheet deriving oxygen demand and alkalinity destruction per gram of nitrogen from a balanced equation, then applying both to a plant's daily load.

Science 45 min Answer key

Grade 12 Worksheet

Ravenglass Dam Hydropower: Head, Flow, and Energy

A grade 12 physics worksheet using the hydropower equation to find power, daily energy, and capacity factor for a fictional dam, with a drought sensitivity case.

Science 45 min Answer key

Grade 9 Worksheet

From Job Posting to Paycheck: Water-Sector Wage Math

A grade 9 careers worksheet where students convert hourly wages to annual pay, compare operator pay percentiles, and choose the right quantity for each comparison.

Careers & CTE 40 min Answer key

Math problem sets

Grade 10 Math problem set

Ravenglass Dam Hydropower: Capacity Factor and Energy

A grade 10 problem set separating power from energy: students find capacity factor, convert MWh to kWh, and count homes powered at a fictional hydroelectric dam.

Math 45 min Answer key

Grade 12 Math problem set

Kingsley Cove Brackish RO: Recovery and Mass Balance

A grade 12 problem set on a fictional reverse-osmosis plant, finding recovery, salt rejection, a brine mass balance, concentration factor, and daily treatment energy.

Science 50 min Answer key

Classroom activities

Grade 9 Classroom activity

Westerholt Digester Night Shift: An Operator Log Relay

A grade 9 careers relay where crews work a fictional digester's night log, computing solids reduction, gas yield, and engine output before each call-out decision.

Careers & CTE 50 min Answer key

Grade 11 Classroom activity

Tideport Beach Advisory Icons: A Blind Test Activity

Grade 11 students draw candidate advisory icons for a fictional coastal town, then run a randomized blind comprehension test on classmates and revise from the tallies.

Art & Music 60 min Answer key

Projects

Grade 9 Project

Haldreth's PFAS Treatment Upgrade: A Utility Staffing Plan

A five-session grade 9 careers project in which teams staff a fictional district's new PFAS treatment building against licensing rules and a fixed payroll budget.

Careers & CTE 5 sessions, ~300 min total Answer key

Grade 11 Project

Ashgrove Water Museum: A Three-Panel Exhibit Design

Over four sessions, grade 11 teams design three exhibit panels for a fictional town water museum, working to fixed panel sizes, type minimums, and a print allowance.

Art & Music 4 sessions, ~240 min total Answer key

Graphic organizers