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Geometric Construction of Irrational Lengths on a Number Line

Approximating and Ordering Irrational Numbers

8th Grade·Math·Open Global Math

Updated 1 month ago · 4 views

Use the Pythagorean theorem and right triangles to construct exact irrational lengths like the square root of 2 and plot them on a number line.

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Approximating and Ordering Irrational Numbers

8th Grade · Math · Open Global Math

7 lessons

Goal

Estimate the values of irrational numbers with rational bounds and plot and order real numbers on the number line.

7 lessons

0 of 7 done

Approximating Irrational Numbers with Rational BoundsUp next
Approximating Cube Roots Between IntegersNot started yet
Approximating Expressions with Pi and RadicalsNot started yet
Approximating Irrational Numbers on a Number LineNot started yet
Ordering Rational and Irrational NumbersNot started yet
Geometric Construction of Irrational Lengths on a Number LineYou are here
Estimating Values of Real-World Formulas with IrrationalsNot started yet

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Learning standards covered

OGM.9.NS.2Open Global Math Standards 2026™ · 8th Grade

Approximate and estimate the value of irrational numbers (including square roots and π) using rational approximations, compare and order real numbers, and plot them accurately on a real number line.