Skip to content
PlayOwl

Mathematics · Grade 12

Conic Sections and Coordinate Models

Learners study circles, parabolas, ellipses and hyperbolas as sets of points defined by distances. They complete the square to find centers, derive the equation of a parabola from its focus and directrix, read foci and eccentricity from equations, classify conics from general equations, and use reflective properties in designs such as dishes, reflectors and orbits.

  • 4 lessons
  • About 135 minutes
  • Conic sections check: 11 questions
  • Ways to answer: choose an answer, plot points, match pairs, type a number, put in order and sort into groups
See plans Included with Family, Teacher and School plans. Open in PlayOwl

What learners will discover

  • Write circles in standard form by completing the square and identify the center and radius.
  • Derive and use the equation of a parabola from its focus and directrix.
  • Analyze ellipses and hyperbolas: vertices, foci, eccentricity and asymptotes.
  • Classify conics from their equations and apply their reflective and orbital properties.

Lessons

  1. Circles from general equations 5 steps3 practiceabout 28 min
  2. Parabolas from a focus and directrix 5 steps3 practiceabout 34 min
  3. Ellipses and hyperbolas 6 steps4 practiceabout 38 min
  4. Classifying and applying conics 5 steps3 practiceabout 35 min
  5. Conic sections check 11 questions at the end

Keep exploring

More 12th grade math

Guide for grown-ups