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Mathematics · Grade 10

Constructions and Transformations

Learners carry out classical compass-and-straightedge constructions as precise procedures and explain why they work, then describe rigid motions (translations, reflections and rotations) exactly with coordinate rules. They compose transformations, find sequences that map one figure onto another, and use rotations and reflections to describe the symmetry of polygons.

  • 4 lessons
  • About 120 minutes
  • Constructions and transformations check: 11 questions
  • Ways to answer: choose an answer, plot points, match pairs, type a number, put in order and sort into groups
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What learners will discover

  • Sequence compass-and-straightedge constructions (bisectors, perpendiculars, parallels, an equilateral triangle) and justify why they work using congruent radii.
  • Apply translations, reflections and rotations on the coordinate plane with precise rules, and recognize that rigid motions preserve distance and angle measure.
  • Compose rigid motions, find a sequence that maps one figure onto another, and explain when the order of transformations matters.
  • Describe the line and rotational symmetries of polygons as the reflections and rotations that map them onto themselves.

Lessons

  1. Constructions with compass and straightedge 6 steps4 practiceabout 30 min
  2. Rigid motions on the coordinate plane 7 steps5 practiceabout 30 min
  3. Composing transformations 7 steps4 practiceabout 30 min
  4. Symmetry 6 steps4 practiceabout 28 min
  5. Constructions and transformations check 11 questions at the end

Keep exploring

More 10th grade math

Guide for grown-ups