Grade 11 Lesson plan
Sable Crossing's Growth: Timing a Treatment Plant Expansion
A grade 11 lesson where students model a fictional town's maximum-day water demand exponentially and use logarithms to time a treatment plant expansion.
Common Core Math · High School
HSF-LE.A.2 Construct linear and exponential functions
Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs.
Why water teaches this standard well
Students construct a linear function for a steady pipe leak's cumulative water loss over time, and an exponential function for a water rate that compounds by a fixed percent each year. Writing both function types from the same kind of water data highlights when each model actually fits.
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.
21 materials aligned to HSF-LE.A.2
Lesson plans
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 9 Lesson plan
Feldmere's Pennyquick Lane Main: Building an Exponential Decay Model
A 50-minute grade 9 lesson where students build an exponential model of chlorine residual along a dead-end water main and compare it against a linear guess.
Grade 10 Lesson plan
Fennmoor Lead Service Line Replacement: A Linear Model Lesson
A 50-minute grade 10 lesson where students build a linear function for a fictional city's lead service line replacement and check it against the 10-year federal deadline.
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.
Grade 12 Lesson plan
Merristone Water Demand: Linear Versus Exponential Growth
A grade 12 math lesson where students build linear and exponential population models from two data points, project water demand, and test it against a plant's capacity.
Grade 11 Lesson plan
Bellwood Reservoir's Drawdown and Mussel Colony: Fitting Growth Models
A grade 11 lesson where students fit linear and exponential functions from two logged data points and solve for an unknown time value using logarithms.
Grade 9 Lesson plan
Ashcombe's Growing Water Demand: Choosing the Right Quantity to Model
A grade 9 lesson where students build a linear function from two years of population and water-demand data and decide which quantity best models growth.
Grade 9 Lesson plan
Grayhaven Reservoir: Linear Leak Loss Versus Exponential Algae Growth
A grade 9 lesson comparing a reservoir's constant-rate leak loss to a warm cove's percent-based algae growth, distinguishing linear from exponential models.
Worksheets
Grade 11 Worksheet
Morwenna Creek at Westhorpe: Recurrence Intervals and Flood Odds
A grade 11 worksheet that ranks ten annual peak flows, computes recurrence intervals and exceedance probabilities, and builds an exponential ten-year risk function.
Grade 10 Worksheet
Kettleworth PFAS Notice Layout: Grade 10 Type-Scale Worksheet
A grade 10 design worksheet where students lay out a fictional water system's PFAS public notice, building a modular type scale and a column grid with real measurements.
Math problem sets
Grade 11 Math problem set
Danecross Dam Generation: A Hydro Operator Problem Set
A grade 11 careers problem set in which students take a hydro operator's shift, computing station output from flow and head and writing output as a function of flow.
Grade 10 Math problem set
Bellamy Lead Service Line Replacement Problem Set
A grade 10 problem set on a fictional utility's lead line replacement, modeled as a linear function with a 10-year deadline, per-line cost, and a changing action level.
Grade 11 Math problem set
Ashgrove Storage Tank: Modeling Chlorine Residual Decay
A grade 11 problem set contrasting linear and exponential decay of a fictional tank's chlorine residual, building a half-life model and comparing summer and winter.
Grade 11 Math problem set
Kelloway Water District Pay Steps and a Certification Payback
A grade 11 problem set comparing a fixed-step pay schedule with a percent-raise schedule at two fictional utilities, then pricing a license certification.
Grade 12 Math problem set
Stonebriar Reservoir: Sediment Inflow and Lost Storage
A grade 12 problem set converting a fictional watershed's sediment yield into lost reservoir storage, then comparing linear and exponential models of capacity loss.
Grade 12 Math problem set
Thornfield Wastewater Plant: BOD Removal and Exponential Decay
A grade 12 problem set applying percent removal and exponential decay functions to BOD data from a fictional wastewater treatment plant.
Labs & experiments
Grade 11 Lab / experiment
After the Ellisfield Burst Pipe: A Mold-Prevention Drying Lab
Groups dry wet cloths in a fan draft, in still air, and under cover, then model drying with ratios and logarithms to explain why hidden wet materials grow mold.
Classroom activities
Grade 11 Classroom activity
Garrowmere Dam Data Stations: Linear, Power, or Exponential?
A 55-minute grade 11 station rotation where teams test four dam data sets with differences and ratios, then name and write the model family each one follows.
Projects
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 9 Project
Sundale Reservoir Supply and Demand: A 20-Year Modeling Project
A multi-session grade 9 project where teams model Sundale's reservoir supply and city demand over 20 years, then propose a conservation plan to close the gap.