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1-4 Order of Operations Warm Up Lesson Presentation Problem of the Day Lesson Quizzes
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1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

Dec 14, 2015

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Page 1: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

Warm Up

Lesson Presentation

Problem of the Day

Lesson Quizzes

Page 2: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

Warm UpPerform the operations in order from left to right.

1. 8 + 4 – 22. 9 3 + 13. 7 – 3 + 54. 20 ÷ 4 + 6

10

289

11

Page 3: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

Problem of the Day

0 1 2 3 4 5 6 7 8 9 = 1Put the appropriate plus or minus signs between the numbers so that the total equals 1.

0 + 1 – 23 + 45 + 67 – 89 = 1

Page 4: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

Learn to use the order of operations.

Page 5: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

Vocabulary

numerical expressionssimplifyorder of operations

Page 6: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

A numerical expression is a mathematical phrase that includes only numbers and operation symbols.

Numerical Expressions 4 + 8 ÷ 2 6 371 – 203 + 2 5,006 19

When you simplify a numerical expression, you find its value.

Page 7: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

When an expression has more than one operation, you must know which operation to do first. To make sure that everyone gets the same answer, we use the order of operations.

ORDER OF OPERATIONS1. Perform operations in parentheses.2. Find the values of numbers with exponents.3. Multiply or divide from left to right as ordered in the problem.4. Add or subtract from left to right as ordered in the problem.

Page 8: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

The first letters of these words can help you remember the order of operations.Please ParenthesesExcuse ExponentsMy Multiply/Dear DivideAunt Add/Sally Subtract

Helpful Hint

Page 9: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

Additional Example 1A: Using the Order of Operations

Simplify the expression.

There are no parentheses or exponents.

15 – 5 Divide.

10 Subtract.

15 – 10 ÷ 2

15 – 10 ÷ 2

Page 10: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

Additional Example 1B: Using the Order of Operations

Simplify the expression.

9 + (21 ÷ 7) 5

9 + (21 ÷ 7) 5

Perform operations within parentheses.

Multiply.

9 + 3 5

9 + 15

Add. 24

Page 11: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

Check It Out: Example 1A

Simplify the expression.

There are no parentheses or exponents.

12 – 3 Divide.

9 Subtract.

12 – 6 ÷ 2

12 – 6 ÷ 2

Page 12: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

Check It Out: Example 1B

Simplify the expression.

7 + (24 ÷ 6) 3

7 + (24 ÷ 6) 3

Perform operations within parentheses.

Multiply.

7 + 4 3

7 + 12

Add. 19

Page 13: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

Additional Example 2A: Using the Order of Operations with Exponents

Simplify the expression.

24 + 6 4

There are no parentheses.

Multiply.

16 + 6 4

16 + 24

Add. 40

2 + 6 4 4

Find the value of numbers with exponents.

Page 14: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

Additional Example 2B: Using the Order of Operations with Exponents

Simplify the expression.

24 ÷ (9 – 6) 32 – 10

Perform operations within parentheses.

Multiply.

8 9 – 10

72 – 10

Divide.

62

Find the value of numbers with exponents.

24 ÷ (9 – 6) 32 – 10

24 ÷ 3 32 – 10

24 ÷ 3 9 – 10

Subtract.

Page 15: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

Check It Out: Example 2A

Simplify the expression.

42 + 3 7

There are no parentheses.

Multiply.

16 + 3 7

16 + 21

Add. 37

42 + 3 7

Find the value of the number with the exponent.

Page 16: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

Check It Out: Example 2B

Simplify the expression.

32 ÷ (8 – 4) 22 – 12

Perform operations within parentheses.

Multiply.

8 4 – 12

32 – 12

Divide.

20

Find the values of numbers with exponents.

32 ÷ (8 – 4) 22 – 12

32 ÷ 4 22 – 12

32 ÷ 4 4 – 12

Subtract.

Page 17: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

Additional Example 3: Consumer Application

24 + 15

39

Mr. Kellett spent $39 on CDs.

Mr. Kellett bought 6 used CDs for $4 each and 5 used CDs for $3 each. Simplify the following expression to find the amount Mr. Kellett spent on CDs.

6 4 + 5 3

Page 18: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

Check It Out: Example 3

Ms. Nivia bought 4 new CDs for $8 each and 6 used CDs for $4 each. Simplify the following expression to find the amount Ms. Nivia spent on CDs.

4 8 + 6 432 + 24

56

Ms. Nivia spent $56 on CDs.

Page 19: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems

Page 20: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

Lesson Quiz

Evaluate each expression.1. 15 + 4 2

2. (12 – 5)2 – 10

3. 3 + 9 2 – 5

4. 43 – 30 ÷ 2

5. Chaz bought 4 football cards for $2 each and 8 baseball cards for $3 each. Simplify the expression to find the amount Chaz spent on cards: 4 2 + 8 3.

39

23

16

49

$32

Page 21: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

1. Simplify the expression.

17 + 6 3

A. 26

B. 35

C. 42

D. 69

Lesson Quiz for Student Response Systems

Page 22: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

2. Simplify the expression.

(14 – 6)2 – 12

A. 52

B. 58

C. 62

D. 64

Lesson Quiz for Student Response Systems

Page 23: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

3. Simplify the expression.

4 + 8 3 – 7

A. 11

B. 19

C. 21

D. 29

Lesson Quiz for Student Response Systems

Page 24: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

4. Simplify the expression.

53 – 93 3

A. 94

B. 84

C. 74

D. 64

Lesson Quiz for Student Response Systems

Page 25: 1-4 Order of Operations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-4 Order of Operations

5. Philip bought 5 papayas for $2 each and 7 pineapples for $3 each. Simplify the expression to find the amount Philip spent on fruits: 5 2 + 7 3.

A. $12

B. $15

C. $31

D. $35

Lesson Quiz for Student Response Systems