A square number is the product of a number and itself. To find 3², model the product 3 × 3 as an array 3 units high and 3 units wide. There are 9 units in total, so 3² = 9. The square root of a number is the number, that when multiplied by itself, equals the original number. To find the square root of 16, make a square using 16 tiles. Each side is 4 tiles long, so the square root of 16 is 4. To find the square roots of 20, try to make a square using 20 tiles. Since 20 tiles cannot form a square, the number 20 is not a perfect square. Because 20 makes a square greater than 4×4 but smaller than 5×5, the square root of 20 can be estimated as a number between 4 and 5.
Square Numbers & Square Roots using the Brainingcamp Color Tiles virtual manipulative.
Brainingcamp virtual manipulatives can be used anywhere with no setup, cleanup, or lost parts. They are highly effective at engaging today’s digital learners and helping them bringing abstract math concepts to life.
Brainingcamp produces virtual manipulatives for iPads, Chromebooks, PCs, and Macs.