Skip to content
PlayOwl

Mathematics · Grade 11

Linear and Quadratic Models Revisited

Learners return to linear and quadratic models with Algebra II tools: piecewise-linear pricing, interpreting technology-produced lines of fit, vertex form by completing the square for maximum and minimum problems, linear–quadratic systems, and quadratic inequalities solved with sign analysis. An optional honors lesson fits a quadratic through three points with a system of three equations.

  • 5 lessons
  • About 130 minutes
  • Models revisited check: 11 questions
  • Ways to answer: fill in the blanks, choose an answer, plot points, type a number, sort into groups and write a short answer
Try it now (no account) One of the five free starter courses Open in PlayOwl

What learners will discover

  • Build and interpret linear and piecewise-linear models, including lines of fit produced by technology.
  • Rewrite quadratics in vertex form by completing the square and solve maximum and minimum problems in context.
  • Solve linear–quadratic systems algebraically and graphically and interpret the number and meaning of the intersections.
  • Solve quadratic inequalities using zeros and sign analysis, and interpret the solution intervals in context.

Lessons

  1. Linear and piecewise-linear models 6 steps3 practiceabout 28 min
  2. Vertex form and optimization 6 steps3 practiceabout 32 min
  3. Linear–quadratic systems 6 steps3 practiceabout 30 min
  4. Quadratic inequalities 5 steps3 practiceabout 28 min
  5. Going further (honors): a quadratic through three points 3 steps1 practiceabout 15 min
  6. Models revisited check 11 questions at the end

Keep exploring

More 11th grade math

Guide for grown-ups