1. Exponents & Square Roots
DO NOW
Solve the following problems (no calculator):
1) = 2) =
3) = 4) =
5) ) =

2. What are we doing Today
OBJECTIVE: WE WILL be able to write and solve exponential and square root equations ESSENTIAL UNDERSTANDING: 1). Multiplication is repeated addition; exponents are repeated multiplication. 2). Exponents and square roots are opposite sides of the same coin AP

3. Review: Multiplication vs Exponents
Multiplication is repeated addition: 4 x 2 = = 8 4 x 5 = = 20 Exponents are repeated multiplication: 42 = 4 x 4= = 4 x 4 x 4 x 4 x 4 = 1024 AP

4. Exponent Vocabulary
Remember Base and Power! - A base to the second power is sometimes called “squared”. 42 is four “squared”. - A base to the third power is sometimes called “cubed”. 53 is five “cubed”. AP

5. Writing Exponents
Let’s do these together: Write the following exponents 1). 6 x 6 x 6 x 6 = 2). 8 x 8 x 8 = 3). 5 x 5 x 5 x 5 x 5 = 4). 3 x 3 = AP

6. Solve the Following Exponents
Let’s do these together: Solve the following exponents 1). 23 = 2). -42 = 3). 54 = 4). 33 = AP

7. Independently: Write the following exponents
1). 2 x 2 x 2 x 2 = 2). 9 x 9 x 9 x 9 x 9 = 3). 4 x 4 x 4 x 4 x 4 x 4 = 4). 6 x 6 = AP

8. Independently: Solve the following exponents
1). 22 = 2). -23 = 3). 33 = 4). 43 = AP

9. What is a Square Root?
A square root is the opposite of an exponential square. 32 = 9 and √9 = 3 22 = 4 and √4 = 2 On a calculator, input the number and the √ key and you will receive the square number AP

10. Let’s Practice
Find the Square Roots of the Following Numbers: 1). 1 2). 2 3). 3 4). 4 5). 8 6). 9 7). 16 8). 100

11. Perfect Squares
Perfect Squares are numbers whose square roots are whole numbers: Number Square Number Square

12. Independent Practice
For the following numbers, find the square and the square root: 1). 1 2). 4 3). 9 4). 8 5) ) ) ) ). 912