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Real-World Problems with Square and Cube Roots

Approximating Irrationals and the Real Number Continuum

7th Grade·Math·Open Global Math

Updated 1 month ago · 6 views

Solve applied geometric and physical problems involving square areas, side lengths, cube volumes, and radical formulas.

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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

Bounding Square Roots Between Consecutive IntegersUp next
Approximating Irrational Numbers with Rational BoundsNot started yet
Approximating Cube Roots of Non-Perfect CubesNot started yet
Plotting and Ordering Real Numbers on a Continuous Number LineNot started yet
Comparing Irrational Expressions Without CalculatorsNot started yet
Real-World Problems with Square and Cube RootsYou are here

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Learning standards covered

OGM.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.