What are we going to do? What does generate mean? Generate means __________.
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CCSS 4th Grade Numbers and Operations – Fractions 1.2Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by
using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
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 does generate mean?Generate means __________.
What are we going to do?
What does generate mean?Generate means __________.
CFUCFU
Students, you already know fractions with different numerators and denominators can sometimes be equivalent. Now, we will generate equivalent fractions.
Students, you already know fractions with different numerators and denominators can sometimes be equivalent. Now, we will generate equivalent fractions.
Make ConnectionMake Connection
1 make1 make
VocabularyVocabulary
We will generate1 equivalent fractions.Learning Objective
Learning Objective
Activate Prior Knowledge
Activate Prior Knowledge
Fractions are numbers that represent a part of a whole.
Determine the fraction of the entire rectangle that is shaded. 2
3numerator
denominator
Fraction
12
24
612
What statement best compares the three shaded parts?
A. One shaded part is larger than the others.
B. They appear to be the same size.
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 1.2Generate equivalent fractions.
Lesson to be used by EDI-trained teachers only.
Concept DevelopmentConcept Development
Equivalent fractions are fractions that have the same value. 2
3numerator
denominator
Fraction
Which two fractions below are equivalent fractions? How do you know?
A
B
C
In your own words, what is an equivalent fraction? “An equivalent fraction is __________.”
Which two fractions below are equivalent fractions? How do you know?
A
B
C
In your own words, what is an equivalent fraction? “An equivalent fraction is __________.”
CFUCFU
• To generate an equivalent fraction the numerator and denominator must be multiplied or divided by the same number.Equivalent Fractions
“They are equal.”
AnimatedClick on the Fraction
Generating Equivalent Fractions
34
38
68
12
24
612
= =
24
12
=
24
612
=
because
because
24
=
24
=
2242
=12
2×34×3
=6
12
6
When generating equivalent fractions:• Divide if the second denominator is smaller.• Multiply if the second denominator is larger.
36 2
÷ 3
1÷ 3
35 10
× 2
× 2
What must the numerator be divided by to generate an equivalent fraction below?How do you know?
What must the numerator be divided by to generate an equivalent fraction below?How do you know?
CFUCFU
69
?3
=
What must the numerator be multiplied by to generate an equivalent fraction below?How do you know?
What must the numerator be multiplied by to generate an equivalent fraction below?How do you know?
CFUCFU
34
?16
=
Animated
Concept Development (Clarification and CFU)
Concept Development (Clarification and CFU)
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 1.2Generate equivalent fractions.
Lesson to be used by EDI-trained teachers only.
Determine2 which denominator is larger.Determine the value to multiply or divide the first denominator by.Multiply or divide the numerator by the same number. Read the equivalent fractions aloud. “___ is equivalent to ___.”
Generate equivalent fractions.1
234
2 figure out2 figure out
VocabularyVocabulary
Skill Development/Guided Practice
Skill Development/Guided Practice
Equivalent fractions are fractions that have the same value. 2
3numerator
denominator
Fraction
2
1.
2
2
2.
2
How did I/you determine which denominator is larger?How did I/you determine the value to multiply or divide the first denominator by?How did I/you find the equivalent fraction?
How did I/you determine which denominator is larger?How did I/you determine the value to multiply or divide the first denominator by?How did I/you find the equivalent fraction?
CFUCFU
1
2
3
3 2
2
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 1.2Generate equivalent fractions.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
Skill Development/Guided Practice (continued)
Determine which denominator is larger.Determine the value to multiply or divide the first denominator by.Multiply or divide the numerator by the same number. Read the equivalent fractions aloud. “___ is equivalent to ___.”
Generate equivalent fractions.1
234
Equivalent fractions are fractions that have the same value. 2
3numerator
denominator
Fraction
How did I/you determine which denominator is larger?How did I/you determine the value to multiply or divide the first denominator by?How did I/you find the equivalent fraction?
How did I/you determine which denominator is larger?How did I/you determine the value to multiply or divide the first denominator by?How did I/you find the equivalent fraction?
CFUCFU
1
2
3
2
5.
2
6.
5
5
3
3.
3
4.
2
2
6 2
1 1
2
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 1.2Generate equivalent fractions.
Lesson to be used by EDI-trained teachers only.
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
Alicia found the equivalent fractions below. Correct any mistakes she made.
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 1.2Generate equivalent fractions.
Lesson to be used by EDI-trained teachers only.
Generating equivalent fractions will help you solve problems with fractions.
Generating equivalent fractions will help you do well on tests.
1
Does anyone else have another reason why it is relevant to generate equivalent fractions? (Pair-Share) Why is it relevant to generate equivalent fractions? 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 generate equivalent fractions? (Pair-Share) Why is it relevant to generate equivalent fractions? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why?
CFUCFU
2
RelevanceRelevance
Equivalent fractions are fractions that have the same value.
Sample Test Question:
32. Which of the following fractions is equal to ?
Yes No
Yes No
Yes No
Yes No
Troy is adding the fractions below. He has to reduce the fraction to get the complete answer.
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 1.2Generate equivalent fractions.
Lesson to be used by EDI-trained teachers only.
What did you learn today about generating equivalent fractions? (Pair-Share) Use words from the word bank.
Skill ClosureSkill Closure
Access Common CoreAccess Common Core
Summary ClosureSummary Closure
Determine which denominator is larger.Determine the value to multiply or divide the first denominator by.Multiply or divide the numerator by the same number. Read the equivalent fractions aloud. “___ is equivalent to ___.”
Generate equivalent fractions.1
234
Equivalent fractions are fractions that have the same value. 2
3numerator
denominator
Fraction
4
1.4
2.
2
2
1 4
Amos thinks that these two fractions are equivalent. Is he correct? Why or why not?
Word Bank
equivalentfractionssame value
No, Amos is incorrect. He reduced the denominator, but left the numerator alone.
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 1.2Generate equivalent fractions.
Lesson to be used by EDI-trained teachers only.
Independent PracticeIndependent Practice
Determine which denominator is larger.Determine the value to multiply or divide the first denominator by.Multiply or divide the numerator by the same number. Read the equivalent fractions aloud. “___ is equivalent to ___.”
Generate equivalent fractions.1
234
Equivalent fractions are fractions that have the same value. 2
3numerator
denominator
Fraction
3
1.3
2.
2
2
1 10
4
3.4
4.
3
3
2 3
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 1.2Generate equivalent fractions.
Lesson to be used by EDI-trained teachers only.
Independent Practice (continued)
Independent Practice (continued)
Determine which denominator is larger.Determine the value to multiply or divide the first denominator by.Multiply or divide the numerator by the same number. Read the equivalent fractions aloud. “___ is equivalent to ___.”
Generate equivalent fractions.1
234
Equivalent fractions are fractions that have the same value. 2
3numerator
denominator
Fraction
2
5.2
6.
2
2
1 1
4
7.4
8.
3
3
4 3
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 1.2Generate equivalent fractions.
Lesson to be used by EDI-trained teachers only.
Periodic Review 1Periodic Review 1
2
1.
2
3
2
2.
2
2
Access Common CoreAccess Common Core
Which of the following are equivalent fractions?
Yes No
Yes No
Yes No
Yes Nois equivalent to .
is equivalent to .
is equivalent to .
is equivalent to .
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 1.2Generate equivalent fractions.
Lesson to be used by EDI-trained teachers only.
Periodic Review 2Periodic Review 2
2
1.
2
2
2
2.
2
2
Access Common CoreAccess Common Core
Agatha has reduced the following fractions. She has made some mistakes. Identify any incorrect answers she has made and write the correct reduced fraction.
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 1.2Generate equivalent fractions.
Lesson to be used by EDI-trained teachers only.
Periodic Review 3Periodic Review 3
Access Common CoreAccess Common Core
2
1.
2
5
2
2.
2
3
Yes No
Which of the following is equivalent to ?
Yes No
Yes No
Yes No
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 1.2Generate equivalent fractions.
Lesson to be used by EDI-trained teachers only.
EDI – Cognitive, Teaching, and English Learner Strategies
Learning Objective: We will generate equivalent fractions.
Elaboration
Targeted Vocabulary
Academic equivalent, generate, determine
Content fraction
Support
Demonstration
VocabularyStrategy
Multiple-Meaning
Synonym
Definition equivalent, generate, determine, fractionHomophone
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
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 1.2Generate equivalent fractions.
Lesson to be used by EDI-trained teachers only.
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