Square Roots

Student Summary

We know that:

  • 9=3\sqrt{9}=3 because 32=93^2=9.

  • 16=4\sqrt{16}=4 because 42=164^2=16.

The value of 10\sqrt{10} must be between 3 units and 4 units because it is between the values of 9\sqrt{9} and 16\sqrt{16}.

There are 3 squares on a square grid, arranged in order of area, from smallest, on the left, to largest, on the right.
There are 3 squares on a square grid, arranged in order of area, from smallest, on the left, to largest, on the right. The left most square is aligned to the grid and has side lengths of 3 with an area of 9. The middle square is tilted on the grid so that its sides are diagonal to the grid. The square is labeled with a side length of square root of 10 and an area of 10. The right most square is aligned to the grid and has side lengths of 4 with an area of 16.

Visual / Anchor Chart

Standards

Building On
8.G.2

8.G.A.2

Addressing
8.EE.2

8.EE.A.2

8.EE.2

8.EE.A.2

8.F.B

8.F.B

Building Toward
8.G.7

8.G.B.7