Exponents and Perfect Squares Lesson

How many small squares is the large square divided?

Can this number be found without counting them?

How?

4 x 4 =16

How many total blocks are there if the square has 6 blocks on each side?

When a number is multiplied times itself it is called a square.
Thus,

The square of 4 equals 16
4 x 4 = 16

Why do we call multiplying a number times itself a square?

If you make a square with a certain number on each side then the total squares is equal to that number times itself.

6x6=36

This is a perfect square.

Is the square a perfect square?

3.5 x 3.5 = 12.25

​3.5

​3.5

4 x 4 can also be written as 4² 

This number tells how

many 4's to multiply

together. It is called an

exponent.

​This is called the expanded form of a number raised to an exponent.

Can you put exponents other than 2?

For example: Do you think we could put 4³?