we will represent 1 fractions on a number line
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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
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
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?
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
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
Represent fractions on a number line.1 Read the problem.
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)
Skill Development/Guided Practice (continued)
How did I/you determine which number line to use?How did I/you determine the number of equal parts from 0?
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
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
Represent fractions on a number line.1 Read the problem.
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
5. Represent on a number line below. 6. Represent on a number line below.58
56
0 1
0 158
56
0 1
0 1
Skill Development/Guided Practice (continued)
Skill Development/Guided Practice (continued)
How did I/you determine which number line to use?How did I/you determine the number of equal parts from 0?
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
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.
25
34
numerator
denominator
Fraction
7. Mark and label the points , , and .
Be as exact as possible.
8. Mark and label the points , , and .
Be as exact as possible.
24
0 1
Skill Development/Guided Practice (continued)
Skill Development/Guided Practice (continued)
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?
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
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.
Representing fractions on a number line will help you measure objects with a ruler.
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
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
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
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
Represent fractions on a number line.1 Read the problem.
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
1. Represent on a number line below. 2. Represent on a number line below.3
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
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
Represent fractions on a number line.1 Read the problem.
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
1. Represent on a number line below. 2. Represent on a number line below.24
35
0 124
0 10 1
35
0 1
34
numerator
denominator
FractionIndependent Practice
Independent Practice
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
Represent fractions on a number line.1 Read the problem.
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.36
38
0 136
0 1
0 138
0 1
34
numerator
denominator
FractionIndependent Practice (continued)
Independent Practice (continued)
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.
34
numerator
denominator
FractionIndependent Practice (continued)
Independent Practice (continued)
38
5. Mark and label the points , , and .
Be as exact as possible.
6. Mark and label the points , , and .
Be as exact as possible.
34
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?
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
35
38
23
28
26
0 134
35
23
26
28
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.
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
2. Represent on a number line below.24
0 124
0 1
Periodic Review 1Periodic Review 1
Access Common CoreAccess Common Core
23
25
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.
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
2. a. Divide one whole into 6 equal parts.
b. Represent on the number line.36 0 1
45
0 145
0 1
3. a. Divide one whole into 8 equal parts.
b. Represent on the number line.48 0 1
Bonus Question
What do you notice about the fractions on the number lines above? Explain.
2. Represent on a number line below.58
0 158
0 1
Periodic Review 2Periodic Review 2
Access Common CoreAccess Common Core
24
36
48
They are all equal.
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.
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
2. Represent on a number line below.56
0 156
0 1
1. Represent on a number line below.35
0 135
0 1
Periodic Review 3Periodic Review 3
Access Common CoreAccess Common Core
Jerry is correct. Mari divided the whole into 4 parts which is incorrect.
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.
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: feedback@dataworks-ed.com
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.
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
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.
Blank Page
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.
0 112
zero one-half one
Counting Fractions on a Number Line
Counting by “half”
eighths
sixths
fifths
fourths
thirds
half
Back toSkill Dev
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.
0 113
zero one-third one
23
two-thirds
Counting Fractions on a Number Line
Counting by “thirds”
eighths
sixths
fifths
fourths
thirds
half
Back toSkill Dev
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.
0 114
zero one -fourth one
24
two-fourths
34
three-fourths
Counting Fractions on a Number Line
Counting by “fourths”
eighths
sixths
fifths
fourths
thirds
half
Back toSkill Dev
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.
0 115
zero one -fifth one
25
two-fifths
35
three-fifths four-fifths
45
Counting Fractions on a Number Line
Counting by “fifths”
eighths
sixths
fifths
fourths
thirds
half
Back toSkill Dev
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.
Counting Fractions on a Number Line
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
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.
Counting Fractions on a Number Line
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
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