Exponents Mr Hendy Industries Learning Goal WALT Represent

Exponents Mr. Hendy Industries

Learning Goal: WALT: Represent repeated multiplication through exponents

So, what is an exponent anyway? It is actually a tool to help make multiplication of the same number easier

For example… Is multiplying 5 by 10 the same as multiplying 5 by itself 10 times? Try it.

5 x 10 = 50 5 x 5 x 5 x 5 = 9, 765, 625

Exponents take the long string of repeated multiplication and simplify it. For example: 5 x 5 x 5 x 5 Can also be written as: 10 5

How do we read and use exponents?

Reading Exponents 5 2 The larger number is the BASE The smaller number is the EXPONENT

Reading Exponents 5 2 The larger number is the BASE The smaller number is the EXPONENT Together they are called a POWER

Repeated Multiplication 4 x 4 4

Repeated Multiplication 1 4 x 4 4

Repeated Multiplication 1 2 4 x 4 4

Repeated Multiplication 1 2 3 4 x 4 4

Repeated Multiplication 1 2 3 4 x 4 3 4

7 x 7 x 7 x 7

7 x 7 x 7 x 7 7

1 7 x 7 x 7 x 7 7

1 2 7 x 7 x 7 x 7 7

1 2 3 7 x 7 x 7 x 7 7

1 2 3 4 7 x 7 x 7 x 7 7

1 2 3 4 5 7 x 7 x 7 x 7 7

1 2 3 4 5 6 7 x 7 x 7 x 7 7

1 2 3 4 5 6 7 7 x 7 x 7 x 7 7

1 2 3 4 5 6 7 7 x 7 x 7 x 7 7 7

Expanded Form Practice 4 x 4 11 x 11 x 11 37 x 37 9 x 9 x 9

Expanded Form Practice 2 4 x 4 = 4 6 11 x 11 x 11 = 11 37 x 37 = 37 4 9 x 9 x 9 = 9 9

Calculating Standard Form Our LAST step!

How to Use Exponents on a Calculator Step 1: Press the number for the BASE. Example: 6

How to Use Exponents on a Calculator Step 1: Press the number for the BASE. Example: 6 Step 2: Press the button that looks like this: xy

How to Use Exponents on a Calculator Step 1: Press the number for the BASE. Example: 6 Step 2: Press the button that looks like this: xy Step 3: Press the number for the EXPONENT. Example: 3

How to Use Exponents on a Calculator Step 1: Press the number for the BASE. Example: 6 Step 2: Press the button that looks like this: xy Step 3: Press the number for the EXPONENT. Example: 3 Step 4: Press the equals button (=)

How to Use Exponents on a Calculator Step 1: Press the number for the BASE. Example: 6 Step 2: Press the button that looks like this: xy Step 3: Press the number for the EXPONENT. Example: 3 Step 4: Press the equals button (=) Step 5: Bask in your amazing math skillz Answer: 216

Try These Out 5 to the exponent 5 Step 1: Press the number for the BASE Step 2: Press the button that looks like this: xy Step 3: Press the number for the EXPONENT Step 4: Press the equals button (=) 3 to the exponent 6 8 to the power of 3 610 114 316

Answers 5 to the exponent 5 = 3, 125 3 to the exponent 6 = 729 8 to the power of 3 = 512 610 = 60, 466, 176 114 = 14, 641 316 = 43, 046, 721

Explore the Difference Calculate the value of each expression. What do you notice? 4 x 2 then 42 6 x 3 then 63 9 x 1 then 92 7 x 4 then 74

Explore the Difference This is the biggest misconception about exponents 4 x 2 = 8 then 42 = 16 6 x 3 = 18 then 63 = 216 9 x 2 = 18 then 92 = 81 7 x 4 = 28 then 74 = 2, 401

Base Exponent Power Expanded Form Standard Form 2 6 7 16, 807 12 x 12 x 12 5 5

Base Exponent Power Expanded Form Standard Form 2 6 6 2 2 x 2 x 2 x 2 64 7 5 5 7 7 x 7 x 7 16, 807 12 4 4 12 12 x 12 x 12 20, 736 5 5 5 x 5 x 5 3125

Task #1 Copy and complete the following table independently in your notebook Base Exponent Power Expanded Form Standard Form 18 5 5 390, 625 2 x 2 x 2 x 2

Task #1 Answers Copy and complete the following table independently in your notebook Base Exponent Power Expanded Form Standard Form 18 5 185 18 x 18 x 18 1, 889, 568 5 8 5 x 5 x 5 390, 625 2 4 24 2 x 2 x 2 x 2 16

Definition Example Facts BEDMAS Non-Example

TASK #2 In your math notebook, create and complete a Frayer Model for Exponents Definition Example Facts Exponents Non-Example

Task #3 Copy and complete the following table independently in your notebook Base Exponent 10 6 Power Expanded Form 4 x 4 x 4 35 Standard Form

Task #3 Answers Copy and complete the following table independently in your notebook Base Exponent Power Expanded Form Standard Form 10 6 106 10 x 10 x 10 x 10 1, 000 4 3 4 x 4 x 4 64 3 5 35 3 x 3 x 3 243

Task #4 Homework Take a few minutes and calculate the standard form for these powers. Then, see what you would get if you used the same exponents on different bases. 0 7 = ? 1 4 = ?

Success Criteria What must you be able to do, to be successful with exponents? I am successful when I can…

Success Criteria What must you be able to do, to be successful with exponents? I am successful when I can… Write a power in standard form

Exponents Day 2 Mr. Hendy Industries

Minds-On What are some powers whose standard forms are above 100? (try to use a base between 60 and 90? between 1 and 10)

Base Exponent Power Expanded Form Standard Form 105 4 x 4 6 8 5 64

Base Exponent Power Expanded Form Standard Form 10 5 105 10 x 10 100, 000 4 3 43 4 x 4 64 6 5 65 6 x 6 x 6 7, 776 8 2 82 8 x 8 64

KAHOOT! Check out Google Classroom and follow the link

Exponent War Mr. Hendy Industries

Rules Person with the highest total wins the hand Person who has the most cards at the end of play time, wins the game Cannot look at your deck Flip cards face up on the table from the top of your deck

First, draw two cards face up and arrange them like this…

Base = 5

Exponent = 2 Base = 5

Exponent = 2 2 Power = 5 Base = 5

Exponent = 2 2 Power = 5 Base = 5 Standard = 25

ample Bat

Opponent hand

Opponent hand

Opponent hand

Opponent hand Who Wins?

Opponent hand Standard = 25 Standard = 81

Opponent hand Standard = 25 Standard = 81

Values 2 -10 number cards are the same value as on the card Ace = 1 Face cards = 10

Exponents in BEDMAS Mr. Hendy Industries

Learning Goal WALT: Calculate BEDMAS including exponents

Examples 2 34 + 7 x 3

Examples 6 2 + 12 - 4

Examples 4 (6 ÷ 2)

Create a poem, song, Open Task short story, comic strip, drawing, or something else creative that would help explain exponents to a younger student