1. 5th Grade Math EDI Lesson Overview
Learning Objective: We will write numerical expressions.
Focus Standard:
5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × ( ) is three times as large as , without having to calculate the indicated sum or product.
Support Standard:
SMP 1, SMP 2, SMP 6
Prerequisite(s):
Manipulative(s):
Special
Instructions:
Generally, when operations are grouped, there is a cue to find a result before performing another operation. In some cases, there is a clear sequence in the written expression, clearly declaring one operation be performed first (and therefore grouped). In other cases, words such as sum, difference, product, and quotient cue for a result to be found, resulting in grouped operations.
Vocabulary
Academic:
declare, identify
Content:
numerical expression
Support:
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EDI Lesson Overview

2. We will write numerical expressions.
Learning Objective
We will write numerical expressions.
What are we going to do?
CFU
Activate Prior Knowledge
Match the words to the expression.
1. The sum of six and eight.
6 + 8
2. The product of eight and five.
9  3
3. The quotient of nine and three.
8× 5
4. The difference of nine and three.
9 - 3
Students, you already know how to write simple expressions. Now, we will write more complex numerical expressions.
Make Connection

3. “Six plus eight times five.”
Concept Development
A numerical expression is made up of numbers connected by operations (+, –, , ).
Grouping symbols are used to group operations and numbers.
The words sum, difference, product, and quotient declare1 a group of operations.
( )
parentheses
[ ]
brackets
{ }
braces
Grouping Symbols
Writing Numerical Expressions
“Six plus eight times five.”
On your whiteboards, write an example of a numerical expression. How do you know it is a numerical expression?
Which numerical expression below would be read as:
“the difference of nine and five, multiplied by three.”
A 9 – 5 × 3
B (9 – 5) × 3
In your own words, what is a numerical expression?
A numerical expression is ____.
CFU
“Add six and eight, then multiply by five.”
“The sum of six and eight, multiplied by five.”
1 say
Vocabulary

4. Skill Development/Guided Practice
A numerical expression is made up of numbers connected by operations (+, –, , ).
Grouping symbols are used to group operations and numbers.
The words sum, difference, product, and quotient declare a group of operations.
Read the description of the expression.
Identify2 numbers (underline) and operations (circle).
Write the numerical expression.
Write numerical expressions. 1 2 a
How did I/you identify numbers and operations?
How did I/you write the numerical expression?
CFU 2 1a
( )
parentheses
[ ]
brackets
{ }
braces
Grouping Symbols
1. Twenty-one divided by seven plus four.
2. Five times eight minus nine.
3. Eighteen minus five times three.
4. Three plus sixteen divided by two.
5. Add nine and one, then
multiply by seven.
6. Subtract eleven and two, then divide by three. 21  7 + 4 5 × 8 - 9
18 – 5 × 3
 2
(9 + 1) × 7
(11 – 2)  3
Application
Interpret the numerical expressions.
T: (105 – 9) × 4 ________________________________________________________
S: ( ) × 3 ________________________________________________________
is four times the difference of 105 and 9.
is three times the sum of 54 and 36.
2 find
Vocabulary

5. ( ) [ ] { } (21 – 3)  9 (12 + 6) × 17 × (8 – 4) 3 × (6 + 9)
Skill Development/Guided Practice (continued)
A numerical expression is made up of numbers connected by operations (+, –, , ).
Grouping symbols are used to group operations and numbers.
The words sum, difference, product, and quotient declare a group of operations.
Read the description of the expression.
Identify numbers (underline) and operations (circle).
Write the numerical expression.
Write numerical expressions. 1 2 a
How did I/you identify numbers and operations?
How did I/you write the numerical expression?
CFU 2 1a
( )
parentheses
[ ]
brackets
{ }
braces
Grouping Symbols
7. The difference of twenty-one and three, divided by nine.
8. The sum of twelve and six, times seventeen.
9. Half of the difference between eight and four.
10. Triple the sum of six and nine.
(21 – 3)  9
(12 + 6) × 17
× (8 – 4) 1 2
3 × (6 + 9)
Application
Interpret the numerical expressions.
T: (95 – 74)  3 ________________________________________________________
S: ( )  2 ________________________________________________________
is one-third of the difference between 95 and 74.
is half of the sum of 45 and 29.

6. Great! I’ll order 37 chairs.
Relevance
A numerical expression is made up of numbers connected by operations (+, –, , ).
Grouping symbols are used to group operations and numbers.
The words sum, difference, product, and quotient declare a group of operations. 1
Writing numerical expressions will help you understand mathematical expressions in the real world.
We need ten chairs at each of the three tables and seven chairs at the head table.
(10 × 3) + 7
Great! I’ll order 37 chairs. 2
Writing numerical expressions will help you do well on tests.
Sample Test Question:
32. Which expression shows fifteen minus eight times three?
A  3
B (15 - 8)  3
C  3
D (8 - 15)  3
Does anyone else have another reason why it is relevant to write numerical expressions? (Pair-Share) Why is it relevant to write numerical expressions? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why?
CFU

7. The sum of seven and eight, divided by three.
A numerical expression is made up of numbers connected by operations (+, –, , ).
Grouping symbols are used to group operations and numbers.
The words sum, difference, product, and quotient declare a group of operations.
Word Bank
Skill Closure
( )
parentheses
[ ]
brackets
{ }
braces
Grouping Symbols
Read the description of the expression.
Identify numbers (underline) and operations (circle).
Write the numerical expression.
Write numerical expressions. 1 2 a
1. Three plus eleven times two.
2. The difference of seven and six, times twelve.
Word Bank
numerical
expressions
operations
grouping
symbols
× 2
(7 – 6) × 12
Access Common Core
Describe and correct the error in writing the numerical expression.
The sum of seven and eight, divided by three.
Summary Closure
What did you learn today about writing numerical expressions? (Pair-Share)
Use words from the word bank.

8. ( ) [ ] { } 27  3  7 16 - 8 + 4 6 × 8 + 4 (20 + 4)  6 (19 + 6)  5
Independent Practice
A numerical expression is made up of numbers connected by operations (+, –, , ).
Grouping symbols are used to group operations and numbers.
The words sum, difference, product, and quotient declare a group of operations.
( )
parentheses
[ ]
brackets
{ }
braces
Grouping Symbols
Read the description of the expression.
Identify numbers (underline) and operations (circle).
Write the numerical expression.
Write numerical expressions. 1 2 a
1. Twenty-seven divided by three times seven.
2. Sixteen minus eight plus four.
3. Six times eight plus four.
4. Add twenty and four, then divide by six.
5. The sum of nineteen and six, divided by five.
6. Twice the difference of thirteen and three. 27  3  7 16 - 8 + 4
6 × 8 + 4
(20 + 4)  6
(19 + 6)  5
2 × (13 – 3)
Application
Interpret the numerical expressions.
S: (15 + 9) × 3 ________________________________________________________
S: ( )  2 _______________________________________________________
is three times the sum of 15 and 9.
is half the sum of 45 and 29.

9. Periodic Review 1
1. Twelve divided by six plus nine.
2. Twenty-four divided by eight minus one.
3. Forty-six plus four times three.
4. Forty-eight plus nine divided by three.
5. Add twenty-five and three, then divide by seven.
6. Add twenty-two and two, then divide by six.
12  6 + 9
24  8 – 1
× 3
 3
(25 + 3)  7
(22 + 2)  6
Access Common Core
Interpret each numerical expression.
1. 2 × ( )
2. (19 + 6) × 4
3. (36 - 9)  3

10. Periodic Review 2
1. Subtract forty-nine and thirty-three, then divide by four.
2. Thirty-two divided by four plus twenty-six.
3. The sum of thirty-seven and three, divided by five.
4. Twelve plus forty-four divided by eleven.
(49 – 33)  4
32 
(37 + 3)  5
 11
Access Common Core
Match each expression to its written description.
Forty minus twenty-five divided by three.
Twenty-two plus three times four.
Two times sixteen minus thirteen.
Add twenty-two and three, then multiply by four.
Twice the difference of sixteen minus thirteen.
The difference between forty and twenty-five, divided by three.
2 × ( )
(22 + 3) × 4
 3
× 4
( )  3
2 ×

11. 5 + 34  2 10 × (6 + 3) 1. Five plus thirty-four divided by two.
Periodic Review 3
1. Five plus thirty-four divided by two.
2. Ten times the sum of six and three.
 2
10 × (6 + 3)
Access Common Core
1. Choose Yes or No to indicate whether each expression correctly matches the written description.
A 10 ×
B 2 × ( )
C ( )  5
Ten times three minus twenty-two.
Two times forty-four minus sixteen.
Subtract twenty-three and thirteen, then divide by five.
O Yes O No
2. Choose Yes or No to indicate whether each expression correctly matches the written description.
A 3 × (4 + 6)
B (14 - 7)  7
C × 2
Triple the sum of four and six.
Fourteen minus seven divided by seven.
Subtract four from seven, then multiply by two.
O Yes O No
3. Choose Yes or No to indicate whether each expression correctly matches the written description.
A 10  2 + 3
B 6 × (5 + 1)
C ( )  6
Ten divided by two plus three.
Six times the sum of five and one.
The difference of forty-eight and twenty-four, divided by six.
O Yes O No

12. EDI – Cognitive, Teaching, and English Learner Strategies
Learning Objective:
We will write numerical expressions.
Cognitive Strategies
Teaching Strategies
Elaboration
Demonstration
Language Strategies
Targeted Vocabulary
Academic
declare, identify
Content
numerical expression
Support
Vocabulary
Strategy
Multiple-Meaning
Synonym
declares, identify
Definition
numerical expression
Homophone
Internal Context Clue
Listen, Speak
Similar Sounds
Read
Tracked Reading
Write
Writing
Content Access Strategies
Comprehensible Input
Cognates
Contextual Clues
Graphic Organizer
Contextualized Definitions
Pictures