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Mathematics · Grade 9

Linear Models and Interpretation

Learners connect the table, equation, graph and words of a linear model, interpret rate of change and initial value with their units, and build models from two facts while checking that every representation agrees. They then decide when a prediction is trustworthy, spot invalid extrapolations, and finish with the full cycle of graphing, solving and interpreting. An optional honors lesson critiques two plausible models of a cooling cup of tea.

  • 5 lessons
  • About 120 minutes
  • Linear models check: 10 questions
  • Ways to answer: fill in the blanks, choose an answer, draw a graph, plot points, highlight a text and match pairs
See plans Included with Family, Teacher and School plans. Open in PlayOwl

What learners will discover

  • Connect the table, equation, graph and context of a linear model, interpreting the rate of change and initial value with units.
  • Build a linear model from two data points or a verbal description and check that table, equation, graph and description are consistent.
  • Judge whether a prediction from a linear model is reasonable, distinguishing interpolation from extrapolation and stating the sensible domain.
  • Construct a graph and an equation from a context, solve the equation for a question in that context, and interpret the solution with units.

Lessons

  1. One relationship, four representations 8 steps4 practiceabout 22 min
  2. Build a model from two facts and check consistency 8 steps5 practiceabout 22 min
  3. Predictions and the limits of a model 8 steps4 practiceabout 20 min
  4. Construct, solve and interpret 9 steps6 practiceabout 24 min
  5. Going further (honors): two plausible models 6 steps4 practiceabout 20 min
  6. Linear models check 10 questions at the end

Keep exploring

More 9th grade math

Guide for grown-ups