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AB: recommended BC: required

MB: recommended ON: required

Teacher Resource 6.1 Unit 8 Number Sense pp. I-38–42

New Canadian Edition

JUMP Math™ Copyright © 2018 JUMP Math

NS6-32

Equivalent Fractions and Multiplication

Students will:

• find equivalent fractions using multiplication.

AP Book 6.1 pp. 151–153

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A parent and a child were sharing a cake, so the parent divided the cake into two pieces.

The child wanted two pieces, so the parent cut the cake again and gave the child two pieces.

Did the child get more cake?

1

2

2

4

=

See p. I-38 for details.

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a)

b)

c)

Exercises:

Copy the shapes in your notebook. Break each part in half to create equivalent fractions for the shaded part. Write the fractions in your notebook.

d)

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Signal how many times as many parts the first picture has as the second picture.

a)

b)

c)

d)

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Signal how many times as many shaded parts there are.

a)

b)

c)

d)

Compare to previous exercise. See p. I-39 for details.

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a)

b)

c)

d)

Exercises:

Write equivalent fractions.

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1

2

4

8

=

× 4

× 4

In equivalent fractions, both the numerator and the denominator are multiplied by the same number.

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We can use a single picture to show two equivalent fractions.

2

3

8

12

=

See p. I-39 for details.

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Exercises:

Write two equivalent fractions for the picture.

a)

b)

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2�3

�12

=

See p. I-40 for details.

How many parts do I have to break each piece into to get 12 parts altogether?

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a)

1

5

15

=

b)

3

4

16

=

c)

5

6

12

=

d)

7

10

100

=

e)

1000

=

15

100

f)

=

78

1000

1 000 000

Bonus:

Exercises:

Multiply to find the missing numerator.

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We can make equivalent fractions by skip counting:

= = = =

3

5

3 × 2

5 × 2

3 × 3

5 × 3

3 × 4

5 × 4

3 × 5

5 × 5

See p. I-40 for details.

= = = =

3

5

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Exercises:

Write four fractions equivalent to .

2�5