What are we going to do? What does generate mean? Generate means __________

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

NameLearning Objective

Learning Objective

Activate Prior Knowledge

Activate Prior Knowledge

We will generate1 equivalent fractions.

Fractions are numbers that represent a part of a whole.

Determine the fraction of the entire rectangle that is shaded.

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.

CCSS 4th Grade Numbers and Operations – Fractions 1.2Generate equivalent fractions.

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

Concept DevelopmentConcept Development

Equivalent Fractions

Equivalent fractions are fractions that have the same value.• To generate an equivalent fraction the numerator

and denominator must be multiplied or divided by the same number.

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 __________.”

CFU CFU

34

38

68

“They are equal.”

Generating Equivalent Fractions

12

24

612

= =

24

12

=

24

612

=

because

because

24

=

24

=

2242

=12

2×34×3

=6

12



Concept Development (Clarification and CFU)

Concept Development (Clarification and CFU)

What must the numerator be divided 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?

What must the numerator be divided 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?

CFU CFU

When generating equivalent fractions:• Divide if the second denominator is smaller.• Multiply if the second denominator is larger.

35 10

6

36 2

1

69

?3

=

34

?16

=



2 figure out2 figure out

VocabularyVocabulary

Skill Development/Guided Practice

Skill Development/Guided Practice

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

Equivalent fractions are fractions that have the same value.

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

12

3



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

4

1

32

5

Alicia found the equivalent fractions below. Correct any mistakes she made.



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

Generating equivalent fractions will help you solve problems with fractions.

Generating equivalent fractions will help you do well on tests.


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.



What did you learn today about generating equivalent fractions? (Pair-Share) Use words from the word bank.

Day 1 _____________________________________________

__________________________________________________

Day 2 _____________________________________________

__________________________________________________

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 ___.”


234


Amos thinks that these two fractions are equivalent. Is he correct? Why or why not?

_________________________________________________________________

_________________________________________________________________

_________________________________________________________________

Word Bankequivalentfractionssame value



NameIndependent Practice

Independent 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 ___.”


234



NamePeriodic Review 1

Periodic Review 1


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 .




Periodic Review 2


Agatha has reduced the following fractions. She has made some mistakes. Identify any incorrect answers she has made and write the correct reduced fraction.

_________________________________________________________________

_________________________________________________________________

_________________________________________________________________

_________________________________________________________________

_________________________________________________________________

_________________________________________________________________




Periodic Review 3


Which of the following is equivalent to ?

Yes No

Yes No

Yes No

Yes No



Blank Page

Documents

What are we going to do? What does generate mean? Generate means __________