CCSS 4 th Grade Numbers and Operations – Fractions 3.0a.2 Understand addition and subtraction of...
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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?
CFUCFU
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
CFU CFU
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?
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
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?
CFUCFU
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?
CFUCFU
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