1-2 Exponents Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
1-2 Exponents
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Lesson QuizzesLesson Quizzes
1-2 Exponents
Warm UpMultiply.
1. 3 3 3
27
64
16
625
2. 4 4 4
3. 2 2 2 2
4. 5 5 5 5
1-2 Exponents
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
25+ 25 = 43
1-2 Exponents
Prep for MA.6.G.4.1 …Calculate…the area of circles.
Also Review of MA.5.A.6.2
Sunshine State Standards
1-2 Exponents
Vocabulary
exponentbaseexponential form
1-2 Exponents
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.
1-2 Exponents
Exponential Form 101
Read “10 to the 1st power”
Multiply 10
Value 10
1-2 Exponents
Exponential Form 102
Read“10 squared,” or
“10 to the 2nd power”
Multiply 10 10
Value 100
1-2 Exponents
Exponential Form 103
Read“10 cubed,” or
“10 to the 3rd power”
Multiply 10 10 10
Value 1,000
1-2 Exponents
Exponential Form 104
Read “10 to the 4th power”
Multiply 10 10 10 10
Value 10,000
1-2 Exponents
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
3 is a factor 5 times.35
1-2 Exponents
Check It Out: Example 1
Write each expression in exponential form.
A. 7 7 7
B. 6 6 6 6 6 6
7 is a factor 3 times.73
6 is a factor 6 times.66
1-2 Exponents
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
1-2 Exponents
Check It Out: Example 2
Find each value.
A. 34
B. 25
34
25
= 3 3 3 3
= 81
= 2 2 2 2 2
= 32
1-2 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 be 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
1-2 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
1-2 Exponents
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 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 be notified.
Look Back44Drawing a diagram helps you see how to use exponents to solve the problem.
1-2 Exponents
Check It Out: 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 be 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 3 families.
• Each family calls 3 families.
1-2 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
1-2 Exponents
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 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 be notified.
Look Back44Drawing a diagram helps you see how to use exponents to solve the problem.
1-2 Exponents
Standard Lesson Quiz
Lesson Quizzes
Lesson Quiz for Student Response Systems
1-2 Exponents
Lesson Quiz
Write each expression in exponential form.
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 3 people will call 3
people, and then each of those will call 3 more.
How many people will be called during the 5th
round of calls?
97
123
400 1,296
243
1-2 Exponents
1. Which of the following represents 15 15 15 in exponential form?
A. 1524
B. 1533
C. 1542
D. 1551
Lesson Quiz for Student Response Systems
1-2 Exponents
2. Which of the following represents 12 12 12 12 12 12 12 in exponential form?
A. 1255
B. 1266
C. 1277
D. 1288
Lesson Quiz for Student Response Systems
1-2 Exponents
3. Identify the value of 402.
A. 400
B. 200
C. 1200
D. 1600
Lesson Quiz for Student Response Systems
1-2 Exponents
4. Identify the value of 54.
A. 125
B. 225
C. 625
D. 1225
Lesson Quiz for Student Response Systems
1-2 Exponents
5. Sarah opened a savings account, and deposited $3 on the first day. Then, each day she deposited triple the amount of the previous day for five days. How much did she deposit on the fifth day?
A. $9
B. $81
C. $243
D. $729
Lesson Quiz for Student Response Systems
Related Documents
