1. Exciting Exponents! California Mathematics Content Standard:
Number Sense 1.3 Grade 5
Understand and compute positive integer powers of nonnegative integers; compute examples as repeated multiplication.
Exciting Exponents!

2. Name as many math operations as you can...
Addition, ...
Subtraction,
Multiplication,
Division
Anticipatory Set

3. Today you will learn...
A new
math operation!!
Objective

4. By the end of this lesson you will...
1. Write the multiplication problem represented by any expression with exponents
2. Simplify any expression with exponents
Objective

5. Why do I need to learn about exponents?
Scientists and mathematicians use exponents to write really big numbers and really small numbers
You will need to use exponents when finding the prime factorization of a number
You will feel smart using a new operation!!!
Purpose

6. 5 x 4 = Four Fives Added = 5 + 5 + 5 + 5 = 20 What are exponents?
You’ve already learned that multiplication is a quick way to do repeated addition
5 x 4 =
Four Fives Added = = 20
Input

7. Exponents are a quick way to do repeated multiplication
What are exponents?
Exponents are a quick way to do repeated multiplication
54 =
Four Fives Multiplied =
5 x 5 x 5 x 5 =
625
Input

8. Four Fives Multiplied =
Which is bigger?
Four Fives Added = = 20
5 x 4 = or
54 =
Four Fives Multiplied =
5 x 5 x 5 x 5 =
625
Input

9. A closer look... 5 4
The exponent
The base
Input

10. 5 4 5 5 625 A closer look... x = Write This this many number times
Put in times signs 5 5
625 x =
Multiply
Model

11. On the count of three, say the multiplication problem for...6 2
= 6 x 6 1 2 3
Check for Understanding

12. On my signal, show with your fingers which is correct.
7 x 7 =49
7 x 2 = 14
7 = 2 or
7 x 7 =49
Check for Understanding

13. Write this out using multiplication and simplify.4 3 4 x = 64
Guided Practice

14. Write this out using multiplication and simplify.2 5 2 x = 32
Guided Practice

15. Write this out using multiplication and simplify.3 3 x = 27
Guided Practice

16. Write this out using multiplication and simplify.8 2 8 x = 64
Guided Practice

17. She is multiplying by 2 instead of multiplying eleven times eleven.
Ella keeps making the same mistake. Explain what she is doing wrong to your partner.
She is multiplying by 2 instead of multiplying eleven times eleven.
112 = 11 x 11 = 121
112 = 22.
Closure