1. Warm Up September 6, 2017 Warm-Up Recall from 6th grade…
Homework
Worksheet
Warm-Up Recall from 6th grade…
Write each expression a different way:
1. 7×7×7×7 Answer: _________
Answer: ________________
Answer: ____________
4. Evaluate the numerical expression:
18−
5. Evaluate 2𝑥+4 when 𝑥=3.

2. Learning Target
Today, I will be able to evaluate numerical expressions using order of operations

3. Vocabulary
Mathematical expression is part of a mathematical sentence. (no = sign)
Numerical expression – contains only numbers.
Examples of numerical expressions:
3 + 4
45 9
(0.3)(0.2)
Simpler name: 7 5
0.06

4. Vocabulary Is parentheses an operation? 4 BASIC MATH OPERATIONS
Simplify: ______________________________________________________________________________
4 BASIC MATH OPERATIONS
Is parentheses an operation?

5. Recall: Exponents
The base is the factor that is going to be used in repeated multiplication.
An exponent shows how many times the base will be a factor in the expression.
𝟓 4
Exponent
Base

6. Form Exponential Form: 𝟓 𝟐 Expanded Form: 5 x 5
When a number is to the 2nd power, we say it is _________.
When a number is the 3rd power, we say it is _________.

7. Rewrite the expressions:
a =
b. 12 x 12=
c =
d. 4 x 4 x 4 =

8. Please Excuse My Dear Aunt Sally
Ex. 1: Evaluate.
(5+3) 2 ÷ 4 × 3 – 1
Ex. 2: Evaluate.
( 8 2 – 2 5 ) ÷ (24 ÷ 6)
Ex. 3: Evaluate.
[16 + 4(14 – 6)]
Grouping symbols include parentheses and also brackets. Start in the inner most set and work your way out.
( ) [ ]
Parentheses
 Exponents
 Multiplication/Division
whichever comes FIRST
from left to right
 Addition/Subtraction

9. Try Some Directions: Use order of operations to simplify each numerical expression. Be sure to show all of your work! 1.
6 2 −10 ÷2 2.
44−8÷2 3.
6 4+5 −16÷4 4.
7−4+8∙5 −6

10. Try Some Did you finish the 4 examples? WOW!! Try these9.
13+(38− 6 2 )
10.
3×7−2×3
11. 
You plan to practice playing guitar for 15 minutes on three weekdays and 20 minutes each on Saturday and Sunday. Evaluate the expression 15 × × 2 to find the number
of minutes you will practice during the entire week.   

11. Did we hit our target?
Today, I will be able to evaluate numerical expressions using order of operations

12. Discussion
1. When following Order of Operations does multiplication always come before division?
Why or Why Not?
2. When following Order of Operations does subtraction always come before addition?