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Mathematics · Grade 12

Choose a Calculus, Statistics or Modeling Extension

Learners meet three directions that mathematics takes after precalculus: calculus (finding accumulated change from a rate), statistics (estimating with uncertainty from random samples), and mathematical modeling (optimizing a decision under constraints). Every learner works through all three short extensions, decides which tool fits which question, and goes deeper in the one they choose.

  • 4 lessons
  • About 140 minutes
  • Extensions check: 11 questions
  • Ways to answer: choose an answer, plot points, type a number, sort into groups and write a short answer
See plans Included with Family, Teacher and School plans. Open in PlayOwl

What learners will discover

  • Choose an appropriate tool (accumulation, statistical estimation or optimization) for a question and justify the choice.
  • Estimate accumulated change from a rate using areas and Riemann sums.
  • Use repeated random samples to describe sampling variability and build an approximate interval estimate.
  • Model a decision with linear constraints and find the optimum at a vertex of the feasible region.

Lessons

  1. Three directions beyond precalculus 4 steps2 practiceabout 25 min
  2. Calculus extension: accumulation 5 steps3 practiceabout 38 min
  3. Statistics extension: estimating with uncertainty 5 steps3 practiceabout 38 min
  4. Modeling extension: the best decision under limits 6 steps3 practiceabout 39 min
  5. Extensions check 11 questions at the end

Keep exploring

More 12th grade math

Guide for grown-ups