There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two known square roots and either side of the unknown root. From there, let your number crunchers decide how they want to proceed. Using a calculator will not take away from the objective.

Concepts

irrational numbers, real numbers, number lines, numbers, square roots, radicals

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Additional Tags

square root, irrational number, math

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Pros

• Excellent resource for the standard
• Allows learners to visualize the placement of square roots on a number line.

Cons

• None

Common Core

8.NS.A.2