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Practice Lesson 13 Understand Equivalent Fractions
Practice and Problem Solving
CC04MM RPPS TG TEXT.indb 56
Lesson 13
Understand
Equivalent Fractions
Solve.
Name:
M
4 Look at the models below. Shade the models to
show two fractions equivalent to 3 . Then write
Prerequisite: How do you know when fractions
are equivalent?
4
··
the fractions.
3
4
··
Study the example showing one way to find
equivalent fractions. Then solve problems 1−6.
6
8
··
9
Example
12
···
Find a fraction equivalent to 4 .
6
··
The number line shows both
thirds and sixths.
0
4 and 2 are at the same point
6
3
··
··
0
1
3
1
6
on the number line.
4
6
··
B
2
6
M
2
3
3
6
4
6
5
6
2
5 ··3
There are
C
1
8
2
8
··
3
4
4
8
3
8
··
5
8
6
8
··
12
fourths in all.
12
4
53
represent. Are the fractions equivalent? Explain.
4
4
7
8
8
8
1 and 2 . Possible explanation: The fractions are equivalent. The amount
4
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2
··
3 Look at the number line in problem 2.
that is shaded in the models is the same. It is shaded in a different way, but
Write equivalent fractions.
15
4
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2
8
··
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2
4
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it is the same amount.
4
5 ··8
Copying is not permitted.
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4
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6
8
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Lesson 13 Understand Equivalent Fractions
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Lesson 13 Understand Equivalent Fractions
Key
B Basic
M Medium
C Challenge
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Unit 4
4/7/16 2:37 PM
Copying is not permitted.
Unit 4 Number and Operations—Fractions
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0
2
4
··
of a whole.
4
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6 Look at the models below. Write the fractions they
2 Fill in the missing fractions on the number line.
1
4
1
Each part is
1 Look at the number line in the example above. Write
0
M
The models show wholes and parts. There are
3 wholes, each divided into fourths.
1
a fraction equivalent to 2 .
6
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1
25
3
··
6
··
B
5 Use the models below to complete the sentences.
1
Name:
Solve.
Show Equivalent Fractions
Copying is not permitted.
M
Study the example showing one way to model
equivalent fractions. Then solve problems 1−8.
5 Fill in the missing numbers to find two equivalent
fractions to 4 .
5
··
Example
C
A model can show equivalent fractions.
The model has 5 equal parts. It shows 3 .
5
··
Explanations will vary.
Possible explanation: You can multiply both the numerator and the
denominator in 8 by 10 to find an equivalent fraction: 8 3 10 5 80 and
10
···
The model shows 6 .
B
10 3 10 5 100. So 8 5 80 . Problem 5 also shows that 8 and 80 are both
10
··
10
···
100
····
10
···
100
····
equivalent to 4 . So I know 8 and 80 are also equivalent to each other.
5
··
10
···
100
····
1 Divide the model below to show 1 5 5 .
2 ··
10
··
M
M
5 3 20
······
6 Look at problem 5. Explain how 8 5 80 .
10 ···
100
··
Divide the model into 10 equal parts to
show an equivalent fraction.
3
6
5 5 ··
10
··
4 3 20 5 80
100
43 2 5 8
532
·······
10
7 Shade the model below to show 1 . Then show
5
··
10 equal parts and write an equivalent fraction.
2 Draw a model to show 1 . Then divide the model
6
··
into twice as many parts to find an equivalent
fraction.
1
Drawings will vary. Possible drawing:
Students might draw a circle or
other model to solve the problem.
1
5
M
2
12
···
2
5 ···
10
8 Shade the model below to show 2 . Then show
3
··
12 equal parts and write an equivalent fraction.
M
3 Multiply the numerator and denominator of 1 by 2.
6
··
2
132 5
12
···
632
·····
M
4 Why does it make sense that the fraction you wrote
Possible dividing lines shown.
Students may draw horizontal
or vertical lines to divide each
part into 4 equal parts.
in problems 2 and 3 is the same?
Answers will vary. Possible answer: Multiplying by 2 is the same as making
2
3
··
twice as many equal parts and twice as many shaded parts.
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Lesson 13 Understand Equivalent Fractions
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8
5 ···
12
Lesson 13 Understand Equivalent Fractions
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4/7/16 2:37 PM
Unit 4
Unit 4 Number and Operations—Fractions
6
··
5
··
Possible dividing lines shown.
Students may draw horizontal
or vertical lines to divide each
part into 2 equal parts.
Practice Lesson 13 Understand Equivalent Fractions
Practice and Problem Solving
©Curriculum Associates, LLC
CC04MM RPPS TG TEXT.indb 57
Lesson 13
58
Name:
Reason and Write
Study the example. Underline two parts that you think make it
a particularly good answer and a helpful example.
Example
Find a fraction equivalent to 1 that has a denominator
2
··
of 12.
Show your work. Use models, words, and numbers to
explain your answer.
Answers will vary.
Note whether
students
incorporate the
features they
chose in their
answer on the
next page.
• use numbers to
write equivalent
fractions?
denominator of 12, I divide the model
into 12 equal parts. The model shows 6 .
12
···
So 1 5 6 .
2
··
Did you . . .
• use models to show
equivalent
fractions?
• use numbers to
write equivalent
fractions?
• use words to
explain?
To find an equivalent fraction with a
denominator of 20, I divide the model
into 20 equal parts. The model shows 8 .
20
···
So 2 5 8 .
5
··
• use words to
explain?
To find an equivalent fraction with a
Show your work. Use models, words, and numbers to
explain your answer.
5
··
• use models to
show equivalent
fractions?
2
··
Find a fraction equivalent to 2 that has a denominator
5
··
of 20.
I draw a model that shows 2 .
Where does the
example . . .
I draw a model that shows 1 .
Solve the problem. Use what you learned from the example.
20
···
I can also multiply both the numerator and
12
···
denominator of 2 by 4 to find an equivalent
5
··
2345 8
4 ···
20
··
5
··
fraction with a denominator of 20.
Practice Lesson 13 Understand Equivalent Fractions
Practice and Problem Solving
CC04MM RPPS TG TEXT.indb 58
Lesson 13
and denominator of 1 by 6 to find an
2
··
equivalent fraction with a denominator
1365 6
12
···
236
·····
of 12.
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Lesson 13 Understand Equivalent Fractions
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Lesson 13 Understand Equivalent Fractions
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Copying is not permitted.
Unit 4
4/7/16 2:38 PM
Copying is not permitted.
Unit 4 Number and Operations—Fractions
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I can also multiply both the numerator