The document provides a lesson on evaluating numerical expressions using the order of operations. It includes examples of simplifying expressions with addition, subtraction, multiplication, division and exponents. It also has examples of word problems involving amounts of money spent on items. The lesson concludes with a quiz to assess understanding of simplifying expressions and applying the order of operations.

1. Warm Up Lesson Presentation Problem of the Day Lesson Quizzes

2. Warm Up Perform the operations in order from left to right. 1. 8 + 4 – 2 2. 9  3 + 1 3. 7 – 3 + 5 4. 20 ÷ 4 + 6 10 28 9 11

3. Problem of the Day 0 1 2 3 4 5 6 7 8 9 = 1 Put the appropriate plus or minus signs between the numbers so that the total equals 1. 0 + 1 – 23 + 45 + 67 – 89 = 1

4. Prep for MA.6.A.3.3 Works backward with two-step function rules to undo expressions. Also Review of MA.5.A.6.2 Sunshine State Standards

5. Vocabulary numerical expressions simplify order of operations

6. A numerical expression is a mathematical phrase that includes only numbers and operation symbols. When you simplify a numerical expression, you find its value. Numerical Expressions 4 + 8 ÷ 2  6 371 – 203 + 2 5,006  19

7. 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 OPERATIONS 1. 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.

8. The first letters of these words can help you remember the order of operations. P lease P arentheses E xcuse E xponents M y M ultiply/ D ear D ivide A unt A dd/ S ally S ubtract Helpful Hint

9. Additional Example 1A: Using the Order of Operations Simplify the expression. 15 – 5 10 15 – 10 ÷ 2 15 – 10 ÷ 2 There are no parentheses or exponents. Divide. Subtract.

10. Additional Example 1B: Using the Order of Operations Simplify the expression. 9 + (21 ÷ 7)  5 9 + (21 ÷ 7)  5 9 + 3  5 9 + 15 24 Perform operations within parentheses. Multiply. Add.

11. Check It Out: Example 1A Simplify the expression. 12 – 3 9 12 – 6 ÷ 2 12 – 6 ÷ 2 There are no parentheses or exponents. Divide. Subtract.

12. Check It Out: Example 1B Simplify the expression. 7 + (24 ÷ 6)  3 7 + (24 ÷ 6)  3 7 + 4  3 7 + 12 19 Perform operations within parentheses. Multiply. Add.

13. Additional Example 2A: Using the Order of Operations with Exponents Simplify the expression. 2 4 + 6  4 16 + 6  4 16 + 24 40 There are no parentheses. Multiply. Add. 2 + 6  4 4 Find the value of numbers with exponents.

14. Additional Example 2B: Using the Order of Operations with Exponents Simplify the expression. 24 ÷ (9 – 6)  3 2 – 10 8  9 – 10 72 – 10 62 Perform operations within parentheses. Multiply. Divide. Find the value of numbers with exponents. 24 ÷ (9 – 6)  3 2 – 10 24 ÷ 3  3 2 – 10 24 ÷ 3  9 – 10 Subtract.

15. Check It Out: Example 2A Simplify the expression. 4 2 + 3  7 16 + 3  7 16 + 21 37 There are no parentheses. Multiply. Add. 4 2 + 3  7 Find the value of the number with the exponent.

16. Check It Out: Example 2B Simplify the expression. 32 ÷ (8 – 4)  2 2 – 12 8  4 – 12 32 – 12 20 Perform operations within parentheses. Multiply. Divide. Find the values of numbers with exponents. 32 ÷ (8 – 4)  2 2 – 12 32 ÷ 4  2 2 – 12 32 ÷ 4  4 – 12 Subtract.

17. 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

18. 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  4 32 + 24 56 Ms. Nivia spent $56 on CDs.

19. Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

20. Lesson Quiz Evaluate each expression. 1. 15 + 4  2 2. (12 – 5) 2 – 10 3. 3 + 9  2 – 5 4. 4 3 – 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

21. 1. Simplify the expression. 17 + 6  3 A. 26 B. 35 C. 42 D. 69 Lesson Quiz for Student Response Systems

22. 2. Simplify the expression. (14 – 6) 2 – 12 A. 52 B. 58 C. 62 D. 64 Lesson Quiz for Student Response Systems

23. 3. Simplify the expression. 4 + 8  3 – 7 A. 11 B. 19 C. 21 D. 29 Lesson Quiz for Student Response Systems

24. 4. Simplify the expression. 5 3 – 93  3 A. 94 B. 84 C. 74 D. 64 Lesson Quiz for Student Response Systems

25. 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