1. Squares & Square Roots

2. Squares 3 We say, “Three squared is 9. We write 3 X 3 = 9 The square of three means a Square with three units on each side. There are nine small squares covering a square of three. Another way of writing 3 x 3= 9 is 3 2 = 9. The small raised 2 is called an exponent. 3 2 = The 2 tells you that 3 is used as a factor two times. The 3 is considered the base. 3

3. Getting Warmed Up This square is a ___ X ___ square. It has a total of ____ squares. So we read it as ____ squared. How do we write ___ squared? ____

4. Squares Perfect Squares are the answer you get when you multiply a number by itself. Imperfect Squares are the numbers between perfect squares.

5. Number your paper 1 – 12. Multiply each number by itself. Example: 1 2 = 1x1=1 2 2 = 2x2=4 These are perfect squares. Create a table with the first 12 perfect squares and their square roots. Perfect Square 14 Square Root or Base 12

6. Square Roots In mathematics, certain operations are opposites of each other. One operation “undoes” the other. Subtraction undoes Addition 12 + 3 = 15, so 15 – 3 = 12 Division undoes Multiplication 4 x 6 = 24, so 24 / 6 = 4

7. Square Roots The opposite, or undoing, of squaring a number is finding the square root. A radical sign √, is the symbol used to indicate the positive square root of a number. Ex: √36 = 6, because 6 X 6 or 6 2 = 36

8. Square Roots Find each square root √81 = 9 because 9 x 9 or 9 2 = 81 √225 = 15 because 15 x 15 or 15 2 = 225 When you are looking for the square root of a factor/number you are looking for the factor/number that was multiplied by itself to get the product under the radical sign.

9. Square Roots Guided Practice Find the Square of each number. 1) 6 3) 17 Find the Square root of each number. 7) √121 20) √49