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3.1 EXPONENTS
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3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

Dec 24, 2015

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Page 1: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

3.1 EXPONENTS

Page 2: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

RECALL

53 = 5 x 5 x 5 = 125

Write the Base (5)Write the Base the number of time as the Power (3)Multiply the numbers together

VOCABULARY

Base – In a power it is the number that is used as a factor

Power – A number that can be written as an exponent

Page 3: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

RECALL

53 = 5 x 5 x 5 = 125

Write the Base (5)Write the Base the number of time as the Power (3)Multiply the numbers together

VOCABULARY

Base – In a power it is the number that is used as a factor

Power – A number that can be written as an exponent

Page 4: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

RECALL

53 = 5 x 5 x 5 = 125

Write the Base (5)Write the Base the number of times as the Power (3)Multiply the numbers together

VOCABULARY

Base – In a power it is the number that is used as a factor

Power – A number that can be written as an exponent

Page 5: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

RECALL

53 = 5 x 5 x 5 = 125

Write the Base (5)Write the Base the number of time as the Power (3)Multiply the Base numbers together

VOCABULARY

Base – In a power it is the number that is used as a factor

Power – A number that can be written as an exponent

Page 6: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

UNDERSTAND Example: 53 = 5 x 5 x 5 = 125

FIRST I WILL __write the Base number _____________________________ __________________________________________________________________

NEXT I WILL __ keep writing the Base number until I have the same__ number as the Power_______________________________

THEN I WILL __multiply the numbers together_______________________ ___________________________________________________________________

Page 7: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

UNDERSTAND Example: 53 = 5 x 5 x 5 = 125

FIRST I WILL __write the Base number _____________________________ __________________________________________________________________

NEXT I WILL __ keep writing the Base number until I have the same__ number as the Power_______________________________

THEN I WILL __multiply the numbers together_______________________ ___________________________________________________________________

Page 8: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

UNDERSTAND Example: 53 = 5 x 5 x 5 = 125

FIRST I WILL __write the Base number _____________________________ __________________________________________________________________

NEXT I WILL __ keep writing the Base number until I have the same__ number as the Power_______________________________

THEN I WILL __multiply the numbers together_______________________ ___________________________________________________________________

Page 9: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

UNDERSTAND Example: 53 = 5 x 5 x 5 = 125

FIRST I WILL __write the Base number _____________________________ __________________________________________________________________

NEXT I WILL __ keep writing the Base number until I have the same__ number as the Power_______________________________

THEN I WILL __multiply the Base numbers together_________________ ___________________________________________________________________

Page 10: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

APPLY

If y = 4, then what would be the outcome of y2? 

Page 11: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

APPLY

If y = 4, then what would be the outcome of y2?

If y = 4 then y2 is equal to 42

therefore 42 or 4 x 4 is equal to 16

Page 12: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

ANALYZE Write a statement of how these errors were made

42 = 8 The base and power were multiplied together

42 = 6 The base and power were added together

  Then write the correct answer for 42 42 = 16

Page 13: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

ANALYZE Write a statement of how these errors were made

42 = 8 The Base and Power were multiplied together

42 = 6 The base and power were added together

  Then write the correct answer for 42 42 = 16

Page 14: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

ANALYZE Write a statement of how these errors were made

42 = 8 The Base and Power were multiplied together

42 = 6 The Base and Power were added together

  Then write the correct answer for 42 42 = 16

Page 15: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

ANALYZE Write a statement of how these errors were made

42 = 8 The Base and Power were multiplied together

42 = 6 The Base and Power were added together

  Then write the correct answer for 42 42 = 16

Page 16: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

EVALUATE

What would be the outcome for 52 if the Base and Power were reversed? Are the outcomes the same?

52 = 5 x 5 = 25 25 = 2 x 2 x 2 x 2 x 2 = 32

 

Page 17: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

EVALUATE

What would be the outcome for 52 if the Base and Power were reversed? Are the outcomes the same?

52 = 5 x 5 = 2525 = 2 x 2 x 2 x 2 x 2 = 32

 

Page 18: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

EVALUATE

What would be the outcome for 52 if the Base and Power were reversed? Are the outcomes the same?

52 = 5 x 5 = 2525 = 2 x 2 x 2 x 2 x 2 =

 

Page 19: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

EVALUATE

What would be the outcome for 52 if the Base and Power were reversed? Are the outcomes the same?

52 = 5 x 5 = 25

25 = 2 x 2 x 2 x 2 x 2 = 32

Page 20: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

EVALUATE

What would be the outcome for 52 if the Base and Power were reversed? Are the outcomes the same?

52 = 5 x 5 = 25

25 = 2 x 2 x 2 x 2 x 2 = 32

Page 21: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

EVALUATE

What would be the outcome for 52 if the Base and Power were reversed? Are the outcomes the same? NO

52 = 5 x 5 = 25

25 = 2 x 2 x 2 x 2 x 2 = 32

Page 22: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

CREATE

Create a problem using an exponent where the outcome is equal to 18

 

Page 23: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

CREATE

Create a problem using an exponent where the outcome is equal to 18

Possible solutions might be:

10 + 23 = 18

2(3)2 = 18

33 – 9 = 18 

Page 24: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

CREATE

Create a problem using an exponent where the outcome is equal to 18

Possible solutions might be:

10 + 23 = 18

2(3)2 = 18

33 – 9 = 18 

Page 25: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

LESSON 3.1

CREATE

Create a problem using an exponent where the outcome is equal to 18

Possible solutions might be:

10 + 23 = 18

2(3)2 = 18

33 – 9 = 18 

Page 26: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

OkLet’s Practice

Page 27: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

Let’s Practice

1. Write the product using exponents

2 • 2 • 2 • 2 • 2

 

Page 28: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

Let’s Practice

1. Write the product using exponents

2 • 2 • 2 • 2 • 2

25

Page 29: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

Let’s Practice

2. Write the product using exponents

m • m • m

 

Page 30: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

Let’s Practice

2. Write the product using exponents

m • m • m

m3

 

Page 31: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

Let’s Practice

3. Write the product using exponents

3 • 3 • 5 • 5 • 5

 

Page 32: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

Let’s Practice

3. Write the product using exponents

3 • 3 • 5 • 5 • 5

32 • 53

Page 33: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

Let’s Practice

4. Write the power as a product

c3

 

Page 34: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

Let’s Practice

4. Write the power as a product

c3 c x c x c 

Page 35: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

Let’s Practice

5. Write the power as a product

47

 

Page 36: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

Let’s Practice

5. Write the power as a product

47

4 x 4 x 4 x 4 x 4 x 4 x 4 

Page 37: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

Let’s Practice

6. Evaluate the expression

23

 

Page 38: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

Let’s Practice

6. Evaluate the expression

23

2 x 2 x 2 = 8 

Page 39: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

Let’s Practice

7. Evaluate the expression

52 + 4 • 2

 

Page 40: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

Let’s Practice

7. Evaluate the expression

52 + 4 • 2

25 + 8 = 33  

Page 41: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

Let’s Practice

8. Evaluate the expression

If p = 6, then p3 =

 

Page 42: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

Let’s Practice

8. Evaluate the expression

If p = 6, then p3 =

6 x 6 x 6 = 216

Page 43: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

GREAT JOB!!!

Page 44: 3.1 EXPONENTS. LESSON 3.1 RECALL 5 3 = 5 x 5 x 5 = 125 Write the Base (5) Write the Base the number of time as the Power ( 3 ) Multiply the numbers together.

CLASSWORK

Independent Practice

Worksheet 1-6