Grade 11 Lesson plan
Keldwick's Ivelbrook Avenue Main: A Log-Log Fit for Head Loss
A 55-minute grade 11 lesson where students test proportionality, take logarithms of flow and head-loss data, and recover a power model for an aging transmission main.
Common Core Math · High School
Represent data on two quantitative variables on a scatter plot, and describe how the variables are related, including fitting a function to the data, using functions fitted to data to solve problems, and informally assessing the fit of a function by plotting and analyzing residuals.
Why water teaches this standard well
Students fit a regression line to years of rainfall paired with downstream streamflow data, the same USGS-style flood-frequency analysis real hydrologists perform, then plot residuals to check how well the line actually fits. This standard pairs naturally with real public streamflow data for a genuine research-style project.
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Grade 11 Lesson plan
A 55-minute grade 11 lesson where students test proportionality, take logarithms of flow and head-loss data, and recover a power model for an aging transmission main.
Grade 12 Lesson plan
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
A 55-minute grade 9 lesson where students fit a least-squares line to six winters of road-salt and stream-chloride data, then read the residuals and the correlation.
Grade 11 Lesson plan
A grade 11 lesson fitting an exponential decay model to six fictional streamflow readings, then predicting when the brook drops below an intake.
Grade 11 Lesson plan
A grade 11 lesson where students fit a line to a colorimetric nitrate calibration curve and use it to convert sample absorbances into concentrations at a fictional lab.
Grade 10 Worksheet
A grade 10 worksheet where students fit a line to eight fictional storms at a creek gauge, compute residuals, and judge a prediction far outside the data range.
Grade 12 Worksheet
A grade 12 worksheet in which students fit a semi-log drawdown model to a pumping test record, predict later drawdown, and judge an extrapolation.
Grade 11 Math problem set
A grade 11 careers problem set in which a groundwater monitoring technician fits a line to nitrate readings from eight wells, computes residuals, and judges the fit.
Grade 11 Math problem set
A grade 11 problem set fitting a line to a fictional jar test's dose and settled turbidity, then predicting, finding residuals, and reading a correlation coefficient.
Grade 11 Math problem set
A grade 11 problem set fitting a regression line to paired conductance and chloride data from a fictional creek, then predicting, checking residuals, and reading r.
Grade 12 Math problem set
A grade 12 problem set using a regression line fitted to a fictional reservoir's phosphorus and algae data to predict, find a residual, and judge extrapolation.
Grade 11 Math problem set
Grade 11 students fit a regression line to fictional groundwater nitrate readings, predict a future value, and compute a correlation coefficient.
Grade 11 Math problem set
A grade 11 statistics problem set where students fit a regression line to eight years of fictional rainfall and streamflow data, then interpret r and r-squared.
Grade 12 Lab / experiment
A grade 12 chemistry lab where students calibrate a soap titration with Epsom-salt standards, estimate tap-water hardness as CaCO3, and check it against EDTA.
Grade 11 Lab / experiment
A grade 11 lab where students run a five-jar coagulation test on cloudy water, plot clarity against alum dose, and scale the best dose to a plant feed rate.
Grade 11 Lab / experiment
A grade 11 lab where students measure how outflow from a tank changes with water height, then fit the head-versus-flow pattern and link it to distribution pressure.
Grade 11 Project
A grade 11 investigation pairing turbidity and bacteria readings from a fictional creek to fit a regression, assess the fit, and evaluate a data-based safety claim.
Grade 11 Project
A grade 11 multi-session project auditing a fictional utility's water loss, fitting a trend line to monthly leakage and weighing a repair program against lost revenue.
Grade 11 Quiz & test questions
A 30-point grade 11 statistics test on a fictional river's nitrate data, with items on spread, margin of error, and least-squares regression.