1. Square Numbers and Square Roots
By Mrs Balfour

2. Square numbers are called square numbers
because you can make a square out of
that number of smaller squares.
I can make a large square out of 9
small squares like this:

3. But I can’t make a larger square out of
10 small squares, however hard I try!

4. Multiplying a number by itself gives you
a square number.
So 2 x 2 = 4 and 3 x 3 = 9.
4 and 9 are square numbers.

5. What are the square numbers of these multiplications?
1 x 1 =
2 x 2 =

6. The square root of a number is the factor that when multiplied by itself gives the square number.
So if 8 x 8 = 64 then the square root of 64 = 8
In maths we can write this as:
8² = 64
and
√64 = 8

7. Now using the hundred square from last week, use a different colour to highlight all the square numbers. When you have finished see if you can find a pattern…