1-2 Exponents Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

1-2 Exponents Warm Up Multiply  3   4   2  2   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. 2 a + 2 a = b c = 4 3

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 exponent base exponential form

1-2 Exponents A number is in exponential form when it is written with a base and an exponent Base 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 Form10 1 Read“10 to the 1st power” Multiply10 Value10

1-2 Exponents Exponential Form10 2 Read “10 squared,” or “10 to the 2nd power” Multiply 10  10 Value100

1-2 Exponents Exponential Form10 3 Read “10 cubed,” or “10 to the 3rd power” Multiply 10  10  10 Value1,000

1-2 Exponents Exponential Form10 4 Read“10 to the 4th power” Multiply 10  10  10  10 Value10,000

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 is a factor 5 times. 3535

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 is a factor 6 times. 6

1-2 Exponents Additional Example 2: Finding the Value of Numbers in Exponential Form Find each value. A. 2 6 B = 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. 3 4 B = 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? 1 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. 2 Make a Plan Secretary 1st round–4 calls 2nd round–16 calls

1-2 Exponents Solve 3 Notice that in each round, the number of calls is a power of 4. 1st round: 4 calls = 4 = 4 1 2nd round: 16 calls = 4  4 = 4 2 So during the 4th round, there will be 4 4 calls. 4 4 = 4  4  4  4 = 256 During the 4th round of calls, 256 families will be notified. Look Back4 Drawing 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? 1 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. 2 Make a Plan Secretary 1st round–3 calls 2nd round–9 calls

1-2 Exponents Solve 3 Notice that in each round, the number of calls is a power of 3. 1st round: 3 calls = 3 = 3 1 2nd round: 9 calls = 3  3 = 3 2 So during the 4th round, there will be 3 4 calls. 3 4 = 3  3  3  3 = 81 During the 4th round of calls, 81 families will be notified. Look Back4 Drawing 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  12   9  9  9  9  9  9 Find each value 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? ,

1-2 Exponents 1. Which of the following represents 15  15  15 in exponential form? A B C D 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 B C D Lesson Quiz for Student Response Systems

1-2 Exponents 3. Identify the value of A. 400 B. 200 C D Lesson Quiz for Student Response Systems

1-2 Exponents 4. Identify the value of 5 4. A. 125 B. 225 C. 625 D 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