Common Core Math · High School
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
Why water teaches this standard well
Students interpret a graph of a reservoir's water level across a drought year, identifying intercepts, the interval where the level was decreasing fastest, and any relative minimum before recovery. Reading key features off a real hydrograph is exactly how water managers monitor drought conditions.
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.
Grade 10 Lesson plan
A 50-minute grade 10 lesson in which students read key features from a fictional reservoir's twelve monthly storage readings and restrict the domain of its refill model.
Grade 11 Lesson plan
A 55-minute grade 11 lesson where students read key features of a granular activated carbon breakthrough curve and compute average rates of change across its intervals.
Grade 9 Lesson plan
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 11 Lesson plan
Grade 11 students lay out six monitoring-well hydrographs as a small-multiples panel grid, sizing panels and setting one shared depth axis.
Grade 12 Lesson plan
A grade 12 lesson where students read key features off a fictional reservoir's water-level graph and compute average rates of change across a drought and recovery.
Grade 9 Lesson plan
A grade 9 lesson on a fictional mountain reservoir, where students build two linear models from snowmelt data and restrict each domain to what makes sense.
Grade 10 Lesson plan
A grade 10 lesson using an August depth profile of temperature, oxygen, and manganese to decide which intake a reservoir plant should draw from before fall turnover.
Grade 9 Worksheet
A grade 9 worksheet where students read a spillway rating table, compute rates of change across intervals, and convert discharge between cfs, MGD, and gpm.
Grade 11 Worksheet
A grade 11 worksheet reading domain, range, increasing and decreasing intervals, extrema, and rate of change from a fictional reservoir's monthly elevation table.
Grade 9 Worksheet
A grade 9 worksheet where students read a reverse-osmosis membrane's permeate-flow data table, finding key features and average rate of change during fouling.
Grade 11 Math problem set
A grade 11 problem set modeling a fictional reservoir's drought drawdown and refill with linear functions, graph features, and a two-variable storage equation.
Grade 11 Math problem set
A grade 11 problem set building a running tank balance from a fictional district's 24-hour demand table, then sizing the tank in gallons and in feet.
Grade 12 Lab / experiment
A grade 12 lab where students measure a small pump's flow at increasing discharge heights, plot the head-capacity curve, and estimate shutoff head from the graph.
Grade 11 Project
A five-session grade 11 project building a monthly reservoir balance for a fictional district, then designing drought stages that hold a protected level.