5 th Grade Math Learning Objective: We will write numerical expressions. READY TO TEACH SM EDI ® Lessons ©2013 All rights reserved. EDI Lesson Overview.

CCSS 5th Grade Operations and Algebraic Thinking 2.0Write 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 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the

indicated sum or product.Lesson to be used by EDI-trained teachers only.

READY TO TEACHSM EDI® Lessons©2013 All rights reserved.

What are we going to do?What are we going to do?

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Students, you already know how to write simple expressions. Now, we will write more complex numerical expressions.

Students, you already know how to write simple expressions. Now, we will write more complex numerical expressions.

Make ConnectionMake Connection

We will write numerical expressions. Learning Objective

Learning Objective

Activate Prior Knowledge

Activate Prior Knowledge

Match the words to the expression.

1. The sum of six and eight. 6 8

8× 5

9 3

9 32. The product of eight and five.

3. The quotient of nine and three.

4. The difference of nine and three.

CCSS 5th Grade Operations and Algebraic Thinking 2.0Write numerical expressions.

Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved.

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) × 3In your own words, what is a numerical expression?A numerical expression is ____.

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) × 3In your own words, what is a numerical expression?A numerical expression is ____.

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Writing Numerical Expressions

Concept DevelopmentConcept 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

“Six plus eight times five.”

“The sum of six and eight, multiplied by five.”

“Add six and eight, then multiply by five.”

1 say1 say

VocabularyVocabulary



Read the description of the expression.Identify2 numbers (underline) and operations (circle).

Write the numerical expression.

Write numerical expressions.1

2a

2 find2 find

VocabularyVocabulary

How did I/you identify numbers and operations?How did I/you write the numerical expression?


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2

1a

Skill Development/Guided Practice

Skill Development/Guided PracticeA 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. 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

Application

18 – 5 × 3 3 + 16 2

(9 + 1) × 7 (11 – 2) 3

Interpret the numerical expressions.

T: (105 – 9) × 4 ________________________________________________________

S: (54 + 36) × 3 ________________________________________________________

is four times the difference of 105 and 9.

is three times the sum of 54 and 36.

( )parentheses

[ ]brackets

{ }braces

Grouping Symbols



Skill Development/Guided Practice (continued)

Skill Development/Guided Practice (continued)

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.

Application

(21 – 3) 9 (12 + 6) × 17

× (8 – 4) 1 2 3 × (6 + 9)


T: (95 – 74) 3 ________________________________________________________

S: (45 + 29) 2 ________________________________________________________

is one-third of the difference between 95 and 74.

is half of the sum of 45 and 29.

Read the description of the expression.Identify numbers (underline) and operations (circle).



2a



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2

1a

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



Writing numerical expressions will help you understand mathematical expressions in the real world.

Writing numerical expressions will help you do well on tests.

1

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?

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?

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2Sample Test Question:

32. Which expression shows fifteen minus eight times three?

A 15 8 3 B (15 8) 3 C 8 15 3 D (8 15) 3

RelevanceRelevance







2a

What did you learn today about writing numerical expressions? (Pair-Share)Use words from the word bank.

Skill ClosureSkill Closure

Access Common CoreAccess Common Core

Summary ClosureSummary Closure

Word Bank

numericalexpressionsoperationsgroupingsymbols

Describe and correct the error in writing the numerical expression.

The sum of seven and eight, divided by three.

1. Three plus eleven times two. 2. The difference of seven and six, times twelve.

3 + 11 × 2 (7 – 6) × 12

( )parentheses

[ ]brackets

{ }braces

Grouping Symbols




Independent PracticeIndependent Practice

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.

Application

27 3 7 16 8 +4

6 × 8 + 4 (20 + 4) 6

(19 + 6) 5 2 × (13 – 3)


S: (15 + 9) × 3 ________________________________________________________

S: (45 + 29) 2 _______________________________________________________

is three times the sum of 15 and 9.

is half the sum of 45 and 29.




2a


( )parentheses

[ ]brackets

{ }braces

Grouping Symbols



Periodic Review 1Periodic 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

46 + 4 × 3 48 + 9 3

(25 + 3) 7 (22 + 2) 6

Interpret each numerical expression.

1. 2 (24 14)

2. (19 6) 4

3. (36 9) 3





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.

Match each expression to its written description.

2 (16 13)

(22 3) 4

40 25 3

22 3 4

(40 25) 3

2 16 13

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.

(49 – 33) 4 32 4 + 26

(37 + 3) 5 12 + 44 11





1. Five plus thirty-four divided by two.

2. Ten times the sum of six and three.

1. Choose Yes or No to indicate whether each expression correctly matches the written description.

A 10 3 22

B 2 (44 16)

C (23 13) 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

O Yes O No

O Yes O No


A 3 (4 6)

B (14 7) 7

C 7 4 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

O Yes O No

O Yes O No


A 10 2 3

B 6 (5 1)

C (48 24) 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

O Yes O No

O Yes O No

5 + 34 2 10 × (6 + 3)



EDI – Cognitive, Teaching, and English Learner Strategies

Learning Objective: We will write numerical expressions.

Elaboration

Targeted Vocabulary

Academic declare, identify

Content numerical expression

Support

Demonstration

VocabularyStrategy

Multiple-Meaning

Synonym declares, identifyDefinition numerical expression

Homophone

Internal Context Clue

Listen, Speak Similar Sounds

Write Writing

Read Tracked Reading

Comprehensible Input

Cognates

Contextual Clues

Graphic Organizer

Contextualized Definitions

Pictures

Language Strategies

Cognitive Strategies Teaching Strategies

Content Access Strategies

5 th Grade Math Learning Objective: We will write numerical expressions. READY TO TEACH SM EDI ® Lessons ©2013 All rights reserved. EDI Lesson Overview.

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