1. Numerical Expressions
Warm-Up
Order Up
Guided Practice
Express Yourself
Independent Practice
Show Some Expressions

2. What is the last step needed to solve this numerical expression?
Order Up (Warm-Up)
What is the last step needed to solve this numerical expression?
(6 × 2)² − ÷ 3
Add
(6 x 2)2 – ÷ 3
122 – ÷ 3
144 – ÷ 3
144 –
140

3. Express Yourself (Guided Practice)
In the following scenario, is it necessary to use order of operations to set up a numerical expression when solving?
Ashley is eating dinner at the neighborhood hamburger restaurant. She ordered 1 item that cost $2.89, 2 items that cost $0.99 each and 6 items that cost $0.79 each.
Yes. The item group totals must be calculated first. Then the item group sums are added together to find the total amount Ashley spends.

4. Ashley is eating dinner at the neighborhood hamburger restaurant
Ashley is eating dinner at the neighborhood hamburger restaurant. She ordered 1 item that cost $2.89, 2 items that cost $0.99 each and 6 items that cost $0.79 each. Write a numerical expression which shows her total, then solve.
(1 × 2.89) + (2 × 0.99) + (6 × 0.79)
$9.61
You got it!

5. Which expression could be used to find the cost of buying b baseball bats at $75 each and g baseball gloves at $98 each? Justify your response.
A b + 98g
B b + g C
D g + 98b

6. (Independent Practice)
Show Some Expressions!
(Independent Practice)
Wanda wants to put new carpet in one of her bedrooms. An interior decorator charges $20 per square foot to lay carpet and an installation fee of $200. If the room is square and each side measures 15 feet, write a numerical expression and solve to show how much will it cost to carpet the bedroom?
So, it will cost Wanda $4,700 to carpet the room.
What operation will be performed in step 3?
20 x 15² + 200
Step 1
Step 2
20 x
Step 3 4,
4,700

7. A caterer charges a setup fee of $50, plus $35 per person
A caterer charges a setup fee of $50, plus $35 per person. Write a numerical expression and solve to show how much the caterer will charge if 28 people attend the party, and the customer has a coupon for $75 off the total?
What is the first step to solving the numerical expression for this problem?
Therefore, the caterer will charge a total of $955 to cater the party.
Multiply the cost per person ($35) by the number of people attending the party(28).
× 28 − 75
Step 1
50 + (35 × 28) − 75
Step 2
− 75
Step 3
1030 − 75
955

8. Which student answered correctly? A Ruth B Bill C Camille
Three students were playing a game called “Math Expressions”. They had to solve the equation below.
­ × (­5) ÷ 5 = n
Ruth answered n = ­16
Bill answered n = ­4
Camille answered n = ­9
Which student answered correctly?
A Ruth
B Bill
C Camille
Justify your answer.
Extend the questioning by asking students to identify the errors made by the students who did not arrive at the correct response.

9. Steven had 23 cookies left.
Steven had 30 cookies to bring to school for his birthday. Three students wanted two cookies each. Then, a new student came to the school that day and he wanted three cookies. Then, one of the three kids gave their two cookies back. Steven was still passing out cookies. Write the numerical expression which shows how many cookies, c, Steven had left to pass out after the student gave him his back, then solve.
30 − (3 × 2) − = c
30 − (6) − 3 + 2
24 − 3 + 2
21 + 2
Steven had 23 cookies left.