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Estimating Square Roots worksheet

Suitable for Year groups: 7, 8
GCSE Tier:
Foundation
Targeting grades: 1-3
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Prerequisite knowledge: Square numbers and associated roots.
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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.
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