ready to teach sm edi ® lessons ©2013 all rights reserved. edi lesson overview focus...
TRANSCRIPT
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.
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
Learning ObjectiveLearning Objective
Activate Prior Knowledge
Activate Prior Knowledge
We will subtract fractions with like denominators.
1
Equivalent fractions are fractions that have the same value.
Find the equivalent fractions below.
1. 612÷
26
6
2. 412
3
44
1
23
numerator
denominator
Fraction
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.
Lesson to be used by EDI-trained teachers only.
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?
23
numerator
denominator
FractionAnimated
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
CFUCFU
612
212
412
46
8 26128
122
12
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.
Lesson to be used by EDI-trained teachers only.
Which of the following is an example of a reduced fraction? How do you know?
A
B
In your own words what is reducing a fraction? Reducing a fraction is _______.
Which of the following is an example of a reduced fraction? How do you know?
A
B
In your own words what is reducing a fraction? Reducing a fraction is _______.
CFUCFU
Reducing Fractions
Concept Development (Clarification and CFU)
Concept Development (Clarification and CFU)
Equivalent fractions are fractions that have the same value.•Reducing a fraction is finding the equivalent fraction in the lowest terms.
“Not in the lowest terms.”“In the lowest terms.”
23
numerator
denominator
Fraction
126 2
2 63 3
3 21
38
48
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.
Lesson to be used by EDI-trained teachers only.
Subtract the fractions. (write) Keep the same denominator.Subtract the numerators.
Reduce the difference, if needed.Read the difference out loud. “___ minus ___ equals ___.”
Subtract fractions with like denominators.1
23
a
b
Skill Development/Guided Practice
Skill Development/Guided Practice
How did I/you subtract the fractions?
How did I/you subtract the fractions?
CFUCFU
1
To subtract fractions, both fractions must have a like denominator.•The difference of fractions must be reduced to the lowest terms.
1. 2.
4.3.
23
numerator
denominator
Fraction
25
15
36
26
58
28
88
38
15
16
38
58
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.
Lesson to be used by EDI-trained teachers only.
Subtract the fractions. (write) Keep the same denominator.Subtract the numerators.
Reduce the difference, if needed.Read the difference out loud. “___ minus ___ equals ___.”
Subtract fractions with like denominators.1
23
a
b
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
1
2
To subtract fractions, both fractions must have a like denominator.•The difference of fractions must be reduced to the lowest terms. 2
3numerator
denominator
Fraction
5.
7.
34
14
78
38
24
6.
8.
56
36
910
310
22
12
26
22
13
48
44
12
610
22
35
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.
Lesson to be used by EDI-trained teachers only.
Subtract the fractions. (write) Keep the same denominator.Subtract the numerators.
Reduce the difference, if needed.Read the difference out loud. “___ minus ___ equals ___.”
Subtract fractions with like denominators.1
23
a
b
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
1
2
To subtract fractions, both fractions must have a like denominator.•The difference of fractions must be reduced to the lowest terms. 2
3numerator
denominator
Fraction
9.
11.
1012
112
58
38
912
10.
12.
612
212
610
410
33
34
412
44
13
28
22
14
210
22
15
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.
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
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?
910
410
510
55
12
The other piece of ribbon is an inch long.
58
38
28
22
14
Angela has of the pie left.
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.
Lesson to be used by EDI-trained teachers only.
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
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
To subtract fractions, both fractions must have a like denominator.•The difference of fractions must be reduced to the lowest terms.
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.
Lesson to be used by EDI-trained teachers only.
Subtract the fractions. (write) Keep the same denominator.Subtract the numerators.
Reduce the difference, if needed.Read the difference out loud. “___ minus ___ equals ___.”
Subtract fractions with like denominators.1
23
a
b
Skill ClosureSkill Closure
Access Common CoreAccess Common Core
Summary ClosureSummary Closure
Abel has subtracted the fractions below. Mrs. Lee says that the answer is incorrect. Explain the mistake that Abel made.
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
What did you learn today about subtracting fractions with like denominators? (Pair-Share)Use words from the word bank.
Word Bank
fractionnumerator
denominatorreduce
710
210
1. 810
110
710
2. 512
112
412
44
13
Abel’s math is correct, but he did not reduce his answer. The correct answer is .
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.
Lesson to be used by EDI-trained teachers only.
Independent PracticeIndependent Practice
1.
3.
36
16
710
310
26
2. 78
58
22
13
28
22
14
410
22
4. 4
10 2
102
1022
15
Subtract the fractions. (write) Keep the same denominator.Subtract the numerators.
Reduce the difference, if needed.Read the difference out loud. “___ minus ___ equals ___.”
Subtract fractions with like denominators.1
23
a
b
To subtract fractions, both fractions must have a like denominator.•The difference of fractions must be reduced to the lowest terms. 2
3numerator
denominator
Fraction
25
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.
Lesson to be used by EDI-trained teachers only.
Independent Practice (continued)
Independent Practice (continued)
5.
7.
612
312
58
18
312
6. 48
38
33
14
18
48
44
8. 8
12 4
124
1244
13
Subtract the fractions. (write) Keep the same denominator.Subtract the numerators.
Reduce the difference, if needed.Read the difference out loud. “___ minus ___ equals ___.”
Subtract fractions with like denominators.1
23
a
b
To subtract fractions, both fractions must have a like denominator.•The difference of fractions must be reduced to the lowest terms. 2
3numerator
denominator
Fraction
12
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.
Lesson to be used by EDI-trained teachers only.
Periodic Review 1Periodic Review 1
Access Common CoreAccess Common Core
Which of the following fractions are correctly subtracted and reduced?
1. 510
310
210
2. 48
28
22
15
28
22
14
Yes No
Yes No
Yes No
Yes No
612
312
312
1112
612
50
612
312
34
512
312
16
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.
Lesson to be used by EDI-trained teachers only.
Periodic Review 2Periodic Review 2
Access Common CoreAccess Common Core
Bradley subtracted the fractions below. Some of his answers are incorrect. Circle all the incorrect answers and write the correct solutions.
1. 412
312
112
2. 512
512
012
= 0
38
38
210
110
36
16
24
14
512
412
610
210
36
36
510
310
34
14
910
410
38
18
68
18
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.
Lesson to be used by EDI-trained teachers only.
Periodic Review 3Periodic Review 3
Access Common CoreAccess Common Core
1. 412
412
012
2. 512
112
= 0 412
44
13
Yes No
Yes No
Yes No36
Yes No60
Choose Yes or No to show whether each choice
represents the difference of .1012
412
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations – Fractions 3.0a.2Subtract fractions with like denominators.
Lesson to be used by EDI-trained teachers only.
EDI – Cognitive, Teaching, and English Learner Strategies
Learning Objective: We will subtract fractions with like denominators.
Elaboration
Targeted Vocabulary
Academic
Content fraction, numerator, denominator, reduce
Support
Demonstration
VocabularyStrategy
Multiple-Meaning
Synonym
Definition fraction, numerator, denominator, reduceHomophone
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