CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Understand addition and subtraction of fractions as joining

and separating parts referring to the same whole.Lesson to be used by EDI-trained teachers only.

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

We will subtract fractions with like denominators.

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

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Students, you already know how to reduce fractions to the lowest terms. Now, we will use reducing fractions when subtracting fractions with like denominators.

Students, you already know how to reduce fractions to the lowest terms. Now, we will use reducing fractions when subtracting fractions with like denominators.

Make ConnectionMake Connection

NameLearning Objective

Learning Objective

Activate Prior Knowledge

Activate Prior Knowledge

23

numerator

denominator

Fraction

Find the equivalent fractions below.

1. 612

2

2. 412

3

Equivalent fractions are fractions that have the same value.

CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.

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

Which subtraction problem has fractions with like denominators? How do you know?

A

B

Which subtraction problem has fractions with like denominators? How do you know?

A

B

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Concept DevelopmentConcept Development

Fractions with like denominators have the same number of equal parts.To subtract fractions, both fractions must have a like denominator.•The difference of fractions must be reduced to the lowest terms.

Subtracting Fractions

Adolfo has eight-twelfths of a pie. If he eats two-twelfths of the pie how much of the pie is left?

128

122 8 2

12

126

612

212

412

46

23

numerator

denominator

Fraction

CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.

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

How did I/you subtract the fractions?How did I/you reduce the difference?

How did I/you subtract the fractions?How did I/you reduce the difference?

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2

1b

Subtract fractions with like denominators.1Subtract the fractions. (write)

Keep the same denominator.Subtract the numerators.

Reduce the difference, if needed.Read the difference out loud. “___ minus ___ equals ___.”

a

23

b

Skill Development/Guided Practice

Skill Development/Guided Practice To subtract fractions, both fractions must have a like denominator.•The difference of fractions must be reduced to the lowest terms.

23

numerator

denominator

Fraction

1. 2.25

15

36

26

4.3. 58

28

88

38

CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.

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

Skill Development/Guided Practice (continued)

Skill Development/Guided Practice (continued)

How did I/you subtract the fractions?How did I/you reduce the difference?

How did I/you subtract the fractions?How did I/you reduce the difference?

CFUCFU

2

1b

Subtract fractions with like denominators.1Subtract the fractions. (write)

Keep the same denominator.Subtract the numerators.

Reduce the difference, if needed.Read the difference out loud. “___ minus ___ equals ___.”

a

23

b

To subtract fractions, both fractions must have a like denominator.•The difference of fractions must be reduced to the lowest terms.

23

numerator

denominator

Fraction

7. 8.78

38

910

310

5. 34

14

6. 5

6 3

6

CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.

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

Skill Development/Guided Practice (continued)

Skill Development/Guided Practice (continued)

How did I/you subtract the fractions?How did I/you reduce the difference?

How did I/you subtract the fractions?How did I/you reduce the difference?

CFUCFU

2

1b

Subtract fractions with like denominators.1Subtract the fractions. (write)

Keep the same denominator.Subtract the numerators.

Reduce the difference, if needed.Read the difference out loud. “___ minus ___ equals ___.”

a

23

b

To subtract fractions, both fractions must have a like denominator.•The difference of fractions must be reduced to the lowest terms.

23

numerator

denominator

Fraction

10.9. 1012

112

612

212

11. 58

38

12. 6

10 4

10

CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.

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

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?

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4

1

32

5

Liu has a piece of ribbon that is of an inch long. She cuts the ribbon into two pieces. One piece is of an inch long. How long is the other piece of ribbon?

Angela has of a pie. Her family eats of the pie. How much of the pie is left?

CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.

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

Subtracting fractions with like denominators will help you while cooking.

Subtracting fractions with like denominators will help you do well on tests.

1

Does anyone else have another reason why it is relevant to subtract fractions with like denominators? (Pair-Share) Why is it relevant to subtract fractions with like denominators? 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 subtract fractions with like denominators? (Pair-Share) Why is it relevant to subtract fractions with like denominators? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why?

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2

RelevanceRelevance

To subtract fractions, both fractions must have a like denominator.•The difference of fractions must be reduced to the lowest terms.

Abdul is baking a batch of muffins. He has ¾ of a cup of blueberries. The recipe calls for ¼ cup of blueberries. He will have ½ cup of blueberries left.

Sample Test Question:

42. Which of the following equations correctly subtracts the fractions?

Yes No

Yes No

Yes No

Yes No

CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.

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

Abel has subtracted the fractions below. Mrs. Lee says that the answer is incorrect. Explain the mistake that Abel made.

_____________________________________

_____________________________________

_____________________________________

What did you learn today about subtracting fractions with like denominators? (Pair-Share) Use words from the word bank.

Day 1 ____________________________________________________________

_________________________________________________________________

Day 2 ____________________________________________________________

_________________________________________________________________

Access Common CoreAccess Common Core

Summary ClosureSummary Closure

To subtract fractions, both fractions must have a like denominator.•The difference of fractions must be reduced to the lowest terms.

Subtract fractions with like denominators.1Subtract the fractions. (write)

Keep the same denominator.Subtract the numerators.

Reduce the difference, if needed.Read the difference out loud. “___ minus ___ equals ___.”

a

23

b

23

numerator

denominator

FractionSkill Closure

Skill Closure

1. 810

110

2. 5

12 1

12

Word Bank

fractionnumerator

denominatorreduce

710

210

CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.

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

NameIndependent Practice

Independent Practice

Subtract fractions with like denominators.1Subtract the fractions. (write)

Keep the same denominator.Subtract the numerators.

Reduce the difference, if needed.Read the difference out loud. “___ minus ___ equals ___.”

a

23

b

To subtract fractions, both fractions must have a like denominator.•The difference of fractions must be reduced to the lowest terms.

23

numerator

denominator

Fraction

1. 36

16

2. 7

8 5

8

3. 710

310

4. 4

10 2

10

5. 612

312

6. 4

8 3

8

7. 58

18

8. 8

12 4

12

CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.

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

NamePeriodic Review 1

Periodic Review 1

Access Common CoreAccess Common Core

1. 510

310

2. 4

8 2

8

Which of the following fractions are correctly subtracted and reduced?

Yes No

Yes No

Yes No

Yes No

612

312

312

1112

612

50

612

312

34

512

312

16

CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.

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

NamePeriodic Review 2

Periodic Review 2

Access Common CoreAccess Common Core

1. 412

312

2. 5

12 5

12

Bradley subtracted the fractions below. Some of his answers are incorrect. Circle all the incorrect answers and write the correct solutions.

38

38

210

110

36

16

24

14

512

412

610

210

36

36

510

310

34

14

910

410

38

18

68

18

CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.

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

NamePeriodic Review 3

Periodic Review 3

Access Common CoreAccess Common Core

1. 412

412

2. 5

12 1

12

Yes No

Yes No

Yes No36

Yes No60

Choose Yes or No to show whether each choice

represents the difference of .1012

412