Back to:
Estimating Square Roots WORKSHEET
Suitable for Grades: 8th Grade, IM 1
CCSS: 8.NS.A.2
CCSS Description: Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
Estimating Square Roots WORKSHEET DESCRIPTION
This worksheet helps students develop confidence in estimating square roots without a calculator.
Section A introduces the concept by asking learners to identify two consecutive integers between which a given square root lies, using inequality notation. This lays the groundwork for understanding square roots numerically.
In Section B, students work with double number lines, a visual scaffold that helps them locate and estimate square roots to one decimal place—supporting learners who benefit from structured visual aids.
Section C builds on this by removing the scaffolding; here, students independently estimate square roots to one decimal place, applying their understanding in a less guided context.
Finally, Section D challenges learners with a variety of applications: completing inequalities, matching square root estimates to calculation results, and solving basic equations that require square root estimation. This section encourages deeper thinking and fluency.
Section A introduces the concept by asking learners to identify two consecutive integers between which a given square root lies, using inequality notation. This lays the groundwork for understanding square roots numerically.
In Section B, students work with double number lines, a visual scaffold that helps them locate and estimate square roots to one decimal place—supporting learners who benefit from structured visual aids.
Section C builds on this by removing the scaffolding; here, students independently estimate square roots to one decimal place, applying their understanding in a less guided context.
Finally, Section D challenges learners with a variety of applications: completing inequalities, matching square root estimates to calculation results, and solving basic equations that require square root estimation. This section encourages deeper thinking and fluency.
