Common Core Math · High School
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.
Why water teaches this standard well
Students restrict the domain of a tank-filling function to the time before the tank reaches capacity and overflows, recognizing that the model no longer applies past that point. Matching a function's domain to a tank's physical limit keeps the math honest about where a model breaks down.
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 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 12 Worksheet
A grade 12 worksheet where students evaluate and invert a three-branch piecewise release rule for a dam, state its domain, and convert cfs into acre-feet.
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.