Square Roots: From Perfect Squares to the Number Line
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Students will evaluate square roots of perfect squares, estimate square roots of non-perfect squares between consecutive integers, and locate square roots on a number line.
Lesson Overview
Students progress from evaluating perfect square roots to estimating irrational square roots between consecutive integers and placing them on a number line, using an area model as the conceptual anchor throughout. A real-world tile-flooring context grounds the exploration.
Materials
- Vertical whiteboards or large chart paper
- Dry-erase markers (multiple colors)
- Pencils and plain paper
Scaffolded Task Progression
Look at the area model below. Each small square is one tile.
[ Interactive graph / diagram, available in the full lesson ]
How many tiles go along each wall? Write your answer as: ___
Without drawing all the tiles, find .
Then find .
For each one, write a multiplication sentence that proves your answer is correct.
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