hw: page 10 #5-18 answers. agenda: 6 th gr. math: 1-3 hw page 14 #10-24 all

HW: 0 #5-18 ANSWERS

Agenda: 6th Gr. Math: 1-3 HW

Page 14

#10-24 all

1-3 Exponents

Course 1

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Warm UpMultiply.

1. 3 3 3

2. 4 4 4

3. 2 2 2 2

4. 5 5 5 5

27

64

16

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1-3 Exponents

625

Problem of the Day

Replace the letters a, b, and c with the numbers 3, 4, and 5 to make a true statement.2a + 2a = bc

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1-3 Exponents

25+ 25 = 43

Today’s Learning Goal (8/15/2012)

Learn to represent numbers by using exponents.

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1-3 Exponents

Vocabulary

exponentbaseexponential form

Insert Lesson Title Here

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1-3 Exponents

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A number is in exponential form when it is written with a base and an exponent.

7733Base

Exponent

= 7 7 7= 343

An exponent tells how many times a number called the base is used as a factor.

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1-3 Exponents

Exponential Form 101

Read “10 to the 1st power”

Multiply 10

Value 10

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Read“10 squared” or “10 to the 2nd power”

Multiply 10 10

Value 100

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Read“10 cubed” or “10 to the 3rd power”

Multiply 10 10 10

Value 1,000

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Read “10 to the 4th power”

Multiply 10 10 10 10

Value 10,000


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Additional Example 1: Writing Numbers in Exponential Form

Write each expression in exponential form.

A. 5 5 5 5

B. 3 3 3 3 3

5 is a factor 4 times.54



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Try This: Example 1


A. 7 7 7

B. 6 6 6 6 6 6




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Additional Example 2: Finding the Value of Numbers in Exponential Form

Find each value.

A. 26

B. 45

26

45

= 2 2 2 2 2 2

= 64

= 4 4 4 4 4

= 1,024


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Try This: Example 2

Find each value.

A. 34

B. 25

34

25

= 3 3 3 3

= 81

= 2 2 2 2 2

= 32

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1-3 Exponents

A phone tree is used to contact families at Paul’s school. The secretary calls 4 families. Then each family calls 4 other families, and so on. How many families will notified during the fourth round of calls?

11 Understand the Problem

The answer will be the number of families called in the 4th round.

List the important information:

• The secretary calls 4 families.

• Each family calls 4 families.

Additional Example 3: Problem Solving Application

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1-3 Exponents

You can draw a diagram to see how many calls are in each round.

22 Make a Plan

Secretary

1st round – 4 calls

2nd round–16 calls

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Solve33Notice that in each round, the number of calls is a power of 4.

1st round: 4 calls = 4 = 41

2nd round: 16 calls = 4 x 4 = 42

So during the 4th round, there will be 44 calls. 44 = 4 4 4 4 = 256

During the 4th round of calls, 256 families will have been notified.

Look Back44Drawing a diagram helps you see how to use exponents to solve the problem.

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1-3 Exponents

Try This: Example 3

A phone tree is used to contact families at Paul’s school. The secretary calls 3 families. Then each family calls 3 other families, and so on. How many families will notified during the fourth round of calls?

11 Understand the Problem

The answer will be the number of families called in the 3rd round.

List the important information:

• The secretary calls 3 families.

• Each family calls 3 families.

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1-3 Exponents

You can draw a diagram to see how many calls are in each round.

22 Make a Plan

Secretary

1st round – 3 calls

2nd round–9 calls

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Solve33Notice that in each round, the number of calls is a power of 3.

1st round: 3 calls = 3 = 31

2nd round: 9 calls = 3 x 3 = 32

So during the 4th round, there will be 34 calls. 34 = 3 3 3 3 = 81

During the 4th round of calls, 81 families will have been notified.

Look Back44Drawing a diagram helps you see how to use exponents to solve the problem.

Lesson Quiz


1. 12 12 12

2. 9 9 9 9 9 9 9

Find each value.

3. 202 4. 64

5. In a phone tree, each of three people will call

three people, and then each of those will call

three more. If there are five levels of the tree,

how many people will be called?

97

123


400 1,296

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243

hw: page 10 #5-18 answers. agenda: 6 th gr. math: 1-3 hw page 14 #10-24 all

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