1. 75 Example 3 A. Evaluate (8 – 3) ● 3(3 + 2).
Expressions with Grouping Symbols
Example 3
A. Evaluate (8 – 3) ● 3(3 + 2). 75

2. 5-Minute Check!
Question #1: Is your answer one of the following choices? Select the correct letter choice for your solution and record it on your warm-up sheet.
Write an algebraic expression for the difference of 4 times n to the second power.
A. 4n2
B. 4n
C. 4 + n2
D n

3. 5-Minute Check! Write a verbal expression for 6m – 2.
Question #2: Is your answer one of the following choices? Select the correct letter choice for your solution and record it on your warm-up sheet.
Write a verbal expression for 6m – 2.
A. six m less than two
B. six times m more than two
C. the difference of six and two
D. two less than six times m

4. 5-Minute Check! A. B. 0.79p + 0.89m C. 0.79m + 0.89p D. 0.79 + 0.89mp
Question #3: Is your answer one of the following choices? Select the correct letter choice for your solution and record it on your warm-up sheet.
Mechanical pencils sell or $0.79 each, and pens sell for $0.89 each. Write an expression for the cost of m pencils and p pens. A.
B. 0.79p m
C. 0.79m p
D mp

5. HoMEWORK Check/ Warm UP
1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each, and pens sell for $0.89 each. Write the total cost for buying m pencils and p pens.

6. Homework Questions?

7. 1.2 Order of Operations
Algebra AB

8. Evaluate numerical expressions by using the order of operations.
Objectives
Evaluate numerical expressions by using the order of operations.
Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

9. Example 1
Evaluate Expressions: What is an exponent?
Evaluate 26.

10. Example 1
Evaluate 44.
A. 64
B. 128
C. 192
D. 256

11. Example 2
Use Order of Operations
Evaluate 48 ÷ 23 ●

13. Remember the order of operation table
1.3
Orders of Operations
Remember the order of operation table
Highest
( ), [ ], { }
Absolute Value
Exponents (powers), roots
Multiplication, division
Lowest
Addition, subtraction

14. Left-to-Right Rule
When multiplication or division are both in the same problem, you work them from left to right.
When addition or subtraction are both in the same problem, you work them from left to right.

15. Example 2
Use Order of Operations
Evaluate 48 ÷ 23 ●

16. 36 Example 3 B. Evaluate 4[12 ÷ (6 – 2)]2.
Expressions with Grouping Symbols
B. Evaluate 4[12 ÷ (6 – 2)]2. 36

17. Expressions with Grouping Symbols
Example 4 C. 2

18. Example 5 A. Evaluate the expression 2(4 + 7) ● (9 – 5). A. –60 B. 66
C. 88
D. 68

19. Example 7 B. Evaluate the expression 3[5 – 2 ● 2]2. A. 9 B. 18 C. 108
D. 3

20. Example 8 C.
A. 1 B.
C. 4 D.

21. Example 9
Evaluate [(92 – 9) ÷ 12]5.
A. 6
B. 15
C. 30
D. 45

22. 30 Example 10 Evaluate 2(x2 – y) + z2 if x = 4, y = 3, and z = 2.
Evaluate an Algebraic Expression
Evaluate 2(x2 – y) + z2 if x = 4, y = 3, and z = 2. 30

23. Example 11 Evaluate x3 – y2 + z, if x = 3, y = 2, and z = 5. A. 6
B. 28
C. 36
D. 10

24. Example 12
Write and Evaluate an Expression
ARCHITECTURE Each side of the Great Pyramid at Giza, Egypt, is a triangle. The base of each triangle once measured 230 meters. The height of each triangle once measured 187 meters. The area of a triangle is one-half the product of the base b and its height h.
A. Write an expression that represents the area of one side of the Great Pyramid.
B. Find the area of one side of the Great Pyramid.

25. Example 12 Find the area of a triangle with a base of 123 feet
and a height of 62 feet.
A. 3,813 ft2
B. 7,626 ft2
C. 15,252 ft2
D. 32 ft2

26. Homework
P #42-48, 55, 56

27. Agenda
Homework Questions
White Board Practice
Extra Practice

28. 1.2 – Order of Operations
Whiteboard Practice

29. 1.2 Orders of Operations Vocabulary: order of operations - PEMDAS
Please P E M D A S
Exponents
Parentheses
Addition
Subtraction
Division
Multiplication
Excuse My
Dear
Aunt
Sally

30. Remember the order of operation table
1.3
Orders of Operations
Remember the order of operation table
Highest
( ), [ ], { }
Absolute Value
Exponents (powers), roots
Multiplication, division
Lowest
Addition, subtraction

31. Left-to-Right Rule
When multiplication or division are both in the same problem, you work them from left to right.
When addition or subtraction are both in the same problem, you work them from left to right.

32. Examples Think: “Which operation should be done first
Examples Think: “Which operation should be done first?” Simplify if necessary!
1)  2 - 5
2) 5(9 + 3) – 3  4
3) 7( ) 4) 5) 6) 2 48
938 22 27
149/12

33. Examples Think: “Which operation should be done first
Examples Think: “Which operation should be done first?” Simplify if necessary! 7) 8)
9) 42 – (52 + 2)
10)
11)
12)
1/2 4 19 29 ∙ 38 3

34. Summary Memorize the order of operations
Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction
Remember the importance of grouping symbols
Parenthesis
Fractions

35. Exit Slip
Homework
1.2 Practice