we will represent 1 fractions on a number line

$: We will represent 1 fractions on a number line$
CCSS 3rd Grade Numbers and Operations 2.0b Represent a fraction a/b on a number line diagram by marking off a

lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.

Lesson to be used by EDI-trained teachers only. READY TO TEACHSM EDI® Lessons©2013 All rights reserved.

We will represent1 fractions on a number line.

14

numerator

denominator

Unit FractionA unit fraction represents one part of a whole. • The numerator of a unit fraction is always 1.• The denominator represents the number of total

equal parts.

Represent the unit fraction on the number line.

1. 2.13

14

0 1 0 113

14

1 show (synonym)1 show (synonym)

VocabularyVocabulary

What are we going to learn?

What does represent mean?Represent means __________.

What are we going to learn?

What does represent mean?Represent means __________.

CFUCFU

Students, you already know how to represent unit fractions on a number line. Now, we will use unit fractions to represent fractions on a number line.

Students, you already know how to represent unit fractions on a number line. Now, we will use unit fractions to represent fractions on a number line.

Make ConnectionMake Connection

Learning ObjectiveLearning Objective

Activate Prior Knowledge

Activate Prior Knowledge

CCSS 3rd Grade Numbers and Operations 2.0b Represent fractions on a number line.

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

A fraction is a number that represents part of a whole. •On a number line, fractions can be represented when one whole is divided into equal parts.•The numerator represents the number of equal parts from 0.•The denominator represents the number of total equal parts.

34

numerator

denominator

Fraction

Fraction on a Number Line

0 114

34 on a number line

24

34

0 1

NOT divided into equal parts

onefourth

twofourths

threefourths

Concept DevelopmentConcept Development

Which number line below can be

used to represent ?

How do you know? Why is the other choice not correct?

A

B

is represented on the

number line below.

Fill in the blanks with one of the choices.

The numerator represents ____.

The denominator represents ___.

A the number of total equal partsB the number of equal parts from 0

Which number line below can be

used to represent ?

How do you know? Why is the other choice not correct?

A

B

is represented on the

number line below.

Fill in the blanks with one of the choices.

The numerator represents ____.

The denominator represents ___.

A the number of total equal partsB the number of equal parts from 0

CFUCFU

2

3

0 1

0 1

4

6

0 1

B

A



A fraction is a number that represents part of a whole. •On a number line, fractions can be represented when one whole is divided into equal parts.•The numerator represents the number of equal parts from 0.•The denominator represents the number of total equal parts

34

numerator

denominator

Fraction

Represent fractions on a number line.1 Read the problem.

Determine2 the number of equal parts using the denominator. (circle)

Determine which number line to use.Determine the number of equal parts from 0 using the numerator. (draw a point)Represent the fraction on the number line. (label)

2a

23

b

1. Represent on a number line below. 2. Represent on a number line below.34

24

0 10 134

24

0 1 0 1

Counting Fractions

2 figure out2 figure out

VocabularyVocabulary

Skill Development/Guided Practice

Skill Development/Guided Practice

How did I/you determine which number line to use?How did I/you determine the number of equal parts from 0?


CFUCFU

2

1b




34

numerator

denominator

Fraction


Determine the number of equal parts using the denominator. (circle)Determine which number line to use.

Determine the number of equal parts from 0 using the numerator. (draw a point)Represent the fraction on the number line. (label)

2a

23

b

3. Represent on a number line below. 4. Represent on a number line below.

0 1

23

45

0 1

0 1

23

45

0 1

Skill Development/Guided Practice (continued)




CFUCFU

2

1b




34

numerator

denominator

Fraction




2a

23

b


56

0 1

0 158

56

0 1

0 1





CFUCFU

2

1b



25

34

numerator

denominator

Fraction

7. Mark and label the points , , and .

Be as exact as possible.



24

0 1



How did I/you determine what the question is asking?How did I/you determine the math concept required?How did I/you determine the relevant information?How did I/you solve and interpret the problem?How did I/you check the reasonableness of the answer?


CFUCFU

2

1

3

4

5

23

25

12

13

14

0 124

23

12

13

14



Representing fractions on a number line will help you measure objects with a ruler.


Representing fractions on a number line will help you do well on tests.

Raven is buying a key holder for her key. She needs to measure the key to buy a key holder that would fit her key.

Her key is inch long.2

3

inches 3210

Does anyone else have another reason why it is relevant to represent fractions on a number line? (Pair-Share) Why is it relevant to represent fractions on a number line? 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 represent fractions on a number line? (Pair-Share) Why is it relevant to represent fractions on a number line? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why?

CFUCFU

Sample Test Question:

15. What fraction is best represented by point P on the number line below?

A B C D

RelevanceRelevance

1

2




What did you learn today about representing fractions on a number line? (Pair-Share) Use words from the word bank.

Explain why is not correctly represented on the number line to the left.2

4

34

numerator

denominator

Fraction




2a

23

b


4

2

3

0 1

0 134

0 1

0 123

0 1

Word Bankrepresentfractions

number linenumerator

denominator

Skill ClosureSkill Closure

Access Common CoreAccess Common Core

Summary ClosureSummary Closure







2a

23

b


35

0 124

0 10 1

35

0 1

34

numerator

denominator

FractionIndependent Practice

Independent Practice







2a

23

b


38

0 136

0 1

0 138

0 1

34

numerator

denominator

FractionIndependent Practice (continued)

Independent Practice (continued)



34

numerator

denominator

FractionIndependent Practice (continued)

Independent Practice (continued)

38





34

0 1



CFUCFU

2

1

3

4

5

35

38

23

28

26

0 134

35

23

26

28



0 1

Identify the fraction on the number line.

1.

0 1

2.

0 1

___ is represented on the number line. ___ is represented on the number line.

1. Represent on a number line below.56

56

0 1


0 124

0 1

Periodic Review 1Periodic Review 1


23

25



1. Represent on a number line below.

1. a. Divide one whole into 4 equal parts.

b. Represent on the number line.24 0 1



45

0 145

0 1



Bonus Question

What do you notice about the fractions on the number lines above? Explain.


0 158

0 1



24

36

48

They are all equal.



1. Determine whose work is correct.

45Mari and Jerry are representing on a number line.

Their explanation of their answers is also shown.

0 1

Mari’s Work Jerry’s Work

2. For the incorrect answer, explain what that person’s mistakes were.

0 1


0 156

0 1


0 135

0 1



Jerry is correct. Mari divided the whole into 4 parts which is incorrect.



Exploring Unit Fractions with Technology

Resource Description

Fraction Number Linewww.mathisfun.com

Students mark off fractions with guidance of unit fractional marks.

Match the Fraction (number line)www.mathisfun.com

Students match a fraction by specifying the number of equal parts a whole is divided by then clicking on the correct length.

If links are broken, please notify us at: [email protected]



EDI – Cognitive, Teaching, and English Learner Strategies

Learning Objective: We will represent fractions on a number line.

Elaboration

Targeted Vocabulary

Academic represent

Content fractions, number line, numerator, denominator

Support

Demonstration

VocabularyStrategy

Multiple-Meaning

Synonym representDefinition fractions, number line, numerator, denominator

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



Blank Page



0 112

zero one-half one

Counting Fractions on a Number Line

Counting by “half”

eighths

sixths

fifths

fourths

thirds

half

Back toSkill Dev



0 113

zero one-third one

23

two-thirds


Counting by “thirds”

eighths

sixths

fifths

fourths

thirds

half

Back toSkill Dev



0 114

zero one -fourth one

24

two-fourths

34

three-fourths


Counting by “fourths”

eighths

sixths

fifths

fourths

thirds

half

Back toSkill Dev



0 115

zero one -fifth one

25

two-fifths

35

three-fifths four-fifths

45


Counting by “fifths”

eighths

sixths

fifths

fourths

thirds

half

Back toSkill Dev




0 116

zero one -sixth one

26

two-sixths

36

three-sixths four-sixths

46

five-sixths

56

Counting by “sixths”

eighths

sixths

fifths

fourths

thirds

half

Back toSkill Dev




0 118

zero one- eighth one

Counting by “eighths”

28

two- eighths

38

three- eighths four- eighths

48

five

- eighths

68

58

78

six- eighths

seven

- eighths

eighths

sixths

fifths

fourths

thirds

half

Back toSkill Dev

we will represent 1 fractions on a number line

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