1. Today, we will use parentheses in expressions.
Learning Objective Name _______________________
Today, we will use parentheses in expressions.
CFU
What are we going to do today?
Activate (or provide) Prior Knowledge
An expression is a mathematical phrase that contains numbers connected by operations1.
1 addition, subtraction, multiplication, division
Evaluate2 the following expressions.
2 find the value of
What is the value of 7 × 5 – 3?
What is the value of 6 × 4 – 2? 35
– 3 = 32 24
– 2 = 22
CFU
Teacher completes problem 1; students complete problem 2. Students, you already know how to evaluate expressions. Today, we will interpret expressions that use parentheses.
DataWORKS Educational Research
(800) •
©2012 All rights reserved.
Comments?
4th Grade Algebra & Functions 1.3 (3Q)
Use parentheses to indicate which operation to perform first when writing expressions containing more than two terms and different operations.
Lesson to be used by EDI-trained teachers only.

2. “The value of … seven times three… plus four.”
Concept Development
Parentheses are a rounded pair of symbols ( ) used in an expression to show which part to evaluate first.
When we read an expression inside parentheses, we say “the value of.”
Parentheses affect the order an expression is evaluated in, so often the result is different depending on the location of the parentheses.
(7 × 3) + 4
“The value of … seven times three… plus four.”
Example: Reading expressions
Example: Evaluating expressions
(4 × 3) + 8
12 + 8 20
4 × (3 + 8)
4 × 11 44
CFU
How would you read this expression? (9 – 4) × 2
Look at the expression:
Which part would you evaluate first? How do you know?
20 – (4 × 2).
A. 20 – B. 4 × 2
In your own words, how do parentheses affect how an expression gets evaluated?
Parentheses affect how an expression gets evaluated by __________.
Not an example of correct use of parentheses:
8 + 4 × 3
12 × 3 36
DataWORKS Educational Research
(800) •
©2012 All rights reserved.
Comments?
4th Grade Algebra & Functions 1.3 (3Q)
Use parentheses to indicate which operation to perform first when writing expressions containing more than two terms and different operations.
Lesson to be used by EDI-trained teachers only.

3. Name _____________________
Skill Development/Guided Practice
Name _____________________
Parentheses are a rounded pair of symbols ( ) used in an expression to show which part to evaluate first.
Use parentheses in expressions
Step #1: Read the expression carefully.
Step #2: Re-write the expression twice.
Step #3: Place parentheses around different parts of the expression in each copy.
Step #4: Verify3 which expression is correct by evaluating it, beginning with the expression in parentheses.
Step #5: Interpret your answer. “The expression ____________ has the parentheses in the correct place .”
3 check to be sure it is true
× 3 is 27
5 + 4 × 3
5 + 4 × 3
The expression (5 + 4) × 3 has the parentheses in correct place.
× 5 is 50
7 + 3 × 5
7 + 3 × 5
The expression (7 + 3) × 5 has the parentheses in the correct place
( )
5 + 4 × 3
× 3
( )
( )
7 + 3 × 5
× 5
( )
9 × 3
5 + 12
10 × 5
7 + 15 27 17 50 22
3. 6 × is 48
6 × 5 + 3
6 × 5 + 3
The expression 6 × (5 + 3) has the parentheses in the correct place
4. 4 × is 20
4 × 3 + 2
4 × 3 + 2
The expression 4 × (3 + 2) has the parentheses in the correct place.
( )
6 × 5 + 3
6 × 5 + 3
( )
( )
4 × 3 + 2
4 × 3 + 2
( )
30 + 3
6 × 8
12 + 2
4 × 5 33 48 14 20
CFU
(#4) How did I/you verify which expression was correct?
(#5) How did I/you interpret the answer?
DataWORKS Educational Research
(800) •
©2012 All rights reserved.
Comments?
4th Grade Algebra & Functions 1.3 (3Q)
Use parentheses to indicate which operation to perform first when writing expressions containing more than two terms and different operations.
Lesson to be used by EDI-trained teachers only.

4. 2. Using parentheses in expressions will help you do well on tests.
Importance
Parentheses are a rounded pair of symbols ( ) used in an expression to show which part to evaluate first.
1. Using parentheses in expressions can help you solve real-life problems.
You go to the movies with three of your friends. Each person buys a $10 ticket and $5 soda. How much did the group pay altogether?
2. Using parentheses in expressions will help you do well on tests.
Sample Test Question: 1. Which expression is equal to 21? A B C D
CFU
Does anyone else have another reason why it is important to interpret expressions that use parentheses? (pair-share) Why is it important to interpret expressions that use parentheses? You may give me one of my reasons or one of your own. Which reason means more to you? Why?
DataWORKS Educational Research
(800) •
©2012 All rights reserved.
Comments?
4th Grade Algebra & Functions 1.3 (3Q)
Use parentheses to indicate which operation to perform first when writing expressions containing more than two terms and different operations.
Lesson to be used by EDI-trained teachers only.

5. What did you learn today about using parentheses in expressions?
Parentheses are a rounded pair of symbols ( ) used in an expression to show which part to evaluate first.
Concept Closure
Heather evaluated this expression. Did she evaluate the expression properly? How do you know?
______________________________________________________________________________________________________________________________________________
4 + (6 × 5)
10 × 5 50
Skill Closure
Use parentheses in expressions
Step #1: Read the expression carefully.
Step #2: Re-write the expression twice.
Step #3: Place parentheses around different parts of the expression in each copy.
Step #4: Verify which expression is correct by evaluating it, beginning with the expression in parentheses.
Step #5: Interpret your answer. “The expression ____________ has the parentheses in the correct place .”
– 2 × 3 is 48
18 – 2 × 3
18 – 2 × 3
– 2 × 5 is 6
16 – 2 × 5
16 – 2 × 5
( )
18 – 2 × 3
18 – 2 × 3 = 48
( )
( )
16 – 2 × 5 = 6
16 – 2 × 5 = 6
( )
16 × 3
18 – 6 = 48
14 × 5 = 6
16 – 10 = 6 48
12 = 48
70 = 6
6 = 6
The expression (18 – 2) × 3 = 48 has the parentheses in the correct place
The expression 16 – (2 × 5) = 6 has the parentheses in the correct place
Summary Closure
What did you learn today about using parentheses in expressions?
Day 1 ______________________________________________________________________________
Day 2 ______________________________________________________________________________
DataWORKS Educational Research
(800) •
©2012 All rights reserved.
Comments?
4th Grade Algebra & Functions 1.3 (3Q)
Use parentheses to indicate which operation to perform first when writing expressions containing more than two terms and different operations.
Lesson to be used by EDI-trained teachers only.

6. Name _____________________
Independent Practice
Name _____________________
Parentheses are a rounded pair of symbols ( ) used in an expression to show which part to evaluate first.
Use parentheses in expressions
Step #1: Read the expression carefully.
Step #2: Re-write the expression twice.
Step #3: Place parentheses around different parts of the expression in each copy.
Step #4: Verify which expression is correct by evaluating it, beginning with the expression in parentheses.
Step #5: Interpret your answer. “The expression ____________ has the parentheses in the correct place .”
1. 9 – 2 × 3 is 21
9 – 2 × 3
9 – 2 × 3
The expression (9 – 2) × 3 has the parentheses in the correct place
– 2 × 6 is 120
22 – 2 × 6
22 – 2 × 6
The expression (22 – 2) × 6 has the parentheses in the correct place.
( )
9 – 2 × 3
9 – 2 × 3
( )
( )
22 – 2 × 6
22 – 2 × 6
( )
7 × 3
9 – 6
20 × 6
22 – 12 21 3
120 10
3. 4 × 12 – 5 is 28
4 × 12 – 5
4 × 12 – 5
The expression 4 × (12 – 5) has the parentheses un the correct place.
4. 6 × is 30
6 × 3 + 2
6 × 3 + 2
The expression 6 × (3 + 2) has parentheses in the correct place
( )
4 × 12 – 5
4 × 12 – 5
( )
( )
6 × 3 + 2
6 × 3 + 2
( )
48 – 5
4 × 7
18 + 2
6 × 5 43 28 20 30
DataWORKS Educational Research
(800) •
©2012 All rights reserved.
Comments?
4th Grade Algebra & Functions 1.3 (3Q)
Use parentheses to indicate which operation to perform first when writing expressions containing more than two terms and different operations.
Lesson to be used by EDI-trained teachers only.

7. Name _____________________
Periodic Review 1
Name _____________________
Parentheses are a rounded pair of symbols ( ) used in an expression to show which part to evaluate first.
Use parentheses in expressions
Step #1: Read the expression carefully.
Step #2: Re-write the expression twice.
Step #3: Place parentheses around different parts of the expression in each copy.
Step #4: Verify which expression is correct by evaluating it, beginning with the expression in parentheses.
Step #5: Interpret your answer. “The expression ____________ has the parentheses in the correct place .”
1. 4 × is 36
4 × 7 + 2
4 × 7 + 2
The expression is 4 × (7 + 2) has the parentheses in the correct place
× 7 is 70
8 + 2 × 7
8 + 2 × 7
The expression (8 + 2) × 7 has the parentheses in the correct place.
( )
4 × 7 + 2
4 × 7 + 2
( )
( )
8 + 2 × 7
8 + 2 × 7
( )
28 + 2
4 × 9
10 × 7
8 + 14 30 36 70 22
3. 5 × 14 – 6 is 40
5 × 14 – 6
5 × 14 – 6
× 2 is 18
4 + 5 × 2
4 + 5 × 2
The expression 5 × (14 – 6) has the parentheses in the correct place.
The expression (4 + 5) × 2 has parentheses in the correct place.
( )
5 × 14 – 6
5 × 14 – 6
( )
( )
4 + 5 × 2
4 + 5 × 2
( )
70 – 6
5 × 8
9 × 2
4 + 10 64 40 18 14
DataWORKS Educational Research
(800) •
©2012 All rights reserved.
Comments?
4th Grade Algebra & Functions 1.3 (3Q)
Use parentheses to indicate which operation to perform first when writing expressions containing more than two terms and different operations.
Lesson to be used by EDI-trained teachers only.

8. Name _____________________
Periodic Review 2
Name _____________________
Parentheses are a rounded pair of symbols ( ) used in an expression to show which part to evaluate first.
Use parentheses in expressions
Step #1: Read the expression carefully.
Step #2: Re-write the expression twice.
Step #3: Place parentheses around different parts of the expression in each copy.
Step #4: Verify which expression is correct by evaluating it, beginning with the expression in parentheses.
Step #5: Interpret your answer. “The expression ____________ has the parentheses in the correct place .”
– 7 × 2 is 16
15 – 7 × 2
15 – 7 × 2
The expression (15 – 7) × 2 has parentheses in the correct place
– 4 × 3 is 6
18 – 4 × 3
18 – 4 × 3
The expression 18 – (4 × 3) has parentheses in the correct place.
( )
15 – 7 × 2
15 – 7 × 2
( )
( )
18 – 4 × 3
18 – 4 × 3
( )
8 × 2
15 – 14
14 × 3
18 – 12 16 1 42 6
× 6 is 66
2 + 9 × 6
2 + 9 × 6
– 5 × 4 is 10
30 – 5 × 4
30 – 5 × 4
The expression (2 + 9) × 6 has the parentheses in the correct place
The expression 30 – (5 × 4) has the parentheses in the correct place.
( )
2 + 9 × 6
2 + 9 × 6
( )
( )
30 – 5 × 4
30 – 5 × 4
( )
11 × 6
2 + 54
25 × 4
30 – 20 66 56
100 10
DataWORKS Educational Research
(800) •
©2012 All rights reserved.
Comments?
4th Grade Algebra & Functions 1.3 (3Q)
Use parentheses to indicate which operation to perform first when writing expressions containing more than two terms and different operations.
Lesson to be used by EDI-trained teachers only.

9. Name _____________________
Periodic Review 3
Name _____________________
Parentheses are a rounded pair of symbols ( ) used in an expression to show which part to evaluate first.
Use parentheses in expressions
Step #1: Read the expression carefully.
Step #2: Re-write the expression twice.
Step #3: Place parentheses around different parts of the expression in each copy.
Step #4: Verify which expression is correct by evaluating it, beginning with the expression in parentheses.
Step #5: Interpret your answer. “The expression ____________ has the parentheses in the correct place .”
× 2 is 26
× 2
× 2
The expression 6 + (10 × 2) has the parentheses in the same place.
– 6 × 2 is 0
12 – 6 × 2
12 – 6 × 2
The expression 12 – (6 × 2) has the parentheses in the correct place.
( )
× 2
× 2
( )
( )
12 – 6 × 2
12 – 6 × 2
( )
16 × 2
6 + 20
6 × 2
12 – 12 32 26 12
3. 2 × is 18
2 ×
2 ×
4. 9 × 5 – 3 is 42
9 × 5 – 3
9 × 5 – 3
The expression (2 × 4) + 10 has the parentheses in the correct place.
The expression (9 × 5) – 3 has the parentheses in the correct place.
( )
2 ×
2 ×
( )
( )
9 × 5 – 3
9 × 5 – 3
( )
8 + 10
2 × 14
45 – 3
9 × 2 18 28 42 18
DataWORKS Educational Research
(800) •
©2012 All rights reserved.
Comments?
4th Grade Algebra & Functions 1.3 (3Q)
Use parentheses to indicate which operation to perform first when writing expressions containing more than two terms and different operations.
Lesson to be used by EDI-trained teachers only.

10. Blank Page DataWORKS Educational Research
(800) •
©2012 All rights reserved.
Comments?
4th Grade Algebra & Functions 1.3 (3Q)
Use parentheses to indicate which operation to perform first when writing expressions containing more than two terms and different operations.
Lesson to be used by EDI-trained teachers only.