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Approximating Irrationals and the Real Number Continuum

7th Grade · Math · Open Global Math

6 lessons

Goal

Estimate the value of irrational square roots using rational bounds, place irrationals on number lines, and solve geometric radical problems.

6 lessons
0 of 6 done
  1. Bounding Square Roots Between Consecutive IntegersUp next
  2. Approximating Irrational Numbers with Rational BoundsNot started yet
  3. Approximating Cube Roots of Non-Perfect CubesYou are here
  4. Plotting and Ordering Real Numbers on a Continuous Number LineNot started yet
  5. Comparing Irrational Expressions Without CalculatorsNot started yet
  6. Real-World Problems with Square and Cube RootsNot started yet
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Learning standards covered

GlobalOGM.8.NO.5Open Global Math Standards 2026™ · 7th Grade

Understand perfect squares, square roots, cubes, and cube roots; explore the real number continuum comprising rational and irrational numbers, represent real numbers on the number line, and approximate irrational numbers with rational bounds.