2014 kalena baker. all rights reserved.images.pcmac.org/sisfiles/schools/ms/desotocounty...1 3 = 1 3...

1

© 2014 Kalena Baker. All rights reserved.

Table of Contents Developing

Understanding Worksheets and

Answer Keys

Find the Fractions Game

and Answer Key

Pages 3 - 15

Pages 16 - 23

Fraction Mazes and Answer Keys

Pages 24 - 32

Fraction Mystery Pictures and Answer

Keys Pages 48 - 54

2

Fraction Snowball Fight

Pages 33 - 47


Equivalent Fractions: Developing Understanding

These pages are designed to help lead students to an understanding of why certain

fractions are equivalent to each other before teaching them the standard method

for determining equivalent fractions. Students are encouraged to look for

patterns in certain fractions. In order to maximize student learning, teachers should

guide student discussion of fraction patterns before, during, and after

completing these worksheets.

Pages 4 - 9 Developing

Understanding Worksheets

Pages 10 - 15 Answer Keys

3


1 3

= 1 3

6

= 1 3

= 1 3

= 1 3

= 1 3


For each of the rectangles below, shade in 1/3. Then, write the equivalent fraction.

If the pattern continues, what fraction would come next? ______ How do you know? ________________________________________________________ __________________________________________________________________________ __________________________________________________________________________

4



3 5

=

Shade 3/5 of both rectangles, then fill in the equivalent fraction.


5 6

=


1 2

= 8

1 3

= 6


Choose one set of equivalent fractions from above. Explain how you know the fractions are equivalent.

____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

5



1 2

3 6

4 8

2 4

The fractions below are equivalent to 1/2. Continue the pattern.

3 4

9 12

12 16

6 8


4 5

12 15

16 20

8 10


2 3

6 9

8 12

4 6


6 10

18 30

24 40

12 20


6


0 11

2

0 13

4 4 4

0 13

8

7

8 8 8 8 8 8

0 111

12 12 12 12 12 12 12

5

12

4

12 12

8

12


Look at the number lines below. Fill in the missing pieces. Then use the number lines to answer the questions below.

Circle the fractions equivalent to ¼ in red.

List them below.

Circle the fractions equivalent to ½ in blue.

List them below.

Circle the fractions equivalent to ¾ in green.

List them below.

7



Find equivalent fractions below by multiplying the numerator and the denominator by the same number!

1 3

x 4 x 4

= 4 12

1 3

x 2 x 2

= 2 6

1 3

x 3 x 3

= 3 9

List 4 fractions equivalent to . List 4 fractions equivalent to .

List 4 fractions equivalent to .

List 4 fractions equivalent to . .



23

35

57

10 11

16

49

2 5

20 =

Fill in the missing numerator to make the fractions below equivalent.

3 7

14 =

1 3

18 =

5 6

30 =

1 4

16 =

7 8

24 =

1 2

20 =

3 10

40 =

8



Use the rectangles below to prove that the two fractions are equivalent.

1 2

8 16

=

How do you know that these two fractions are equivalent? ______________________________________________________ ____________________________________________________________________________________________________________


3 4

6 8

=

How do you know that these two fractions are equivalent? _______________________________________________________ ______________________________________________________________________________________________________________

Would you rather have of a pizza, or of a pizza? Explain. 35

12 20

9

_______________________________________________________ _____________________________________________________________________________________________________________________________________________________________________


1 3

= 1 3

6

= 1 3

= 1 3

= 1 3

= 1 3


For each of the rectangles below, shade in 1/3. Then, write the fraction.

2

3 9

4 12

5 15

6 18

If the pattern continues, what fraction would come next? ______ How do you know? ________________________________________________________ __________________________________________________________________________ __________________________________________________________________________

7 21

Answers may vary. Students might noBce that the numerator

is increasing by one, and the denominator is increasing by 3. Students might noBce that they could mulBply the numerator and the denominator by the same number to get the equivalent fracBon.

10



3 5

=



5 6

=


1 2

= 8

1 3

= 6


Choose one set of equivalent fractions from above. Explain how you know the fractions are equivalent.

__________________________________________________________________________________________________________________________________________________

__________________________________________________________________________________________________________________________________________________

4

2

6

10

10

12

Answers will vary.

11



1 2

3 6

4 8

2 4


3 4

9 12

12 16

6 8


4 5

12 15

16 20

8 10


2 3

6 9

8 12

4 6


6 10

18 30

24 40

12 20


5 10

6 12

7 14

8 16

9 18

10 20

11 22

15 20

18 24

21 28

24 32

27 36

30 40

33 44

20 25

28 35

24 30

32 40

36 45

40 50

44 55

10 15

12 18

14 21

16 24

18 27

2030

22 33

30 50

36 60

42 70

48 80

54 90

60 100

66 110

12


0 11

2

0 13

4

2

4

1

4

0 13

8

7

8

2

8

4

8

6

8

1

8

5

8

0 111

12

3

12

6

12

9

12

1

12

7

12

10

12

5

12

4

12

2

12

8

12


Look at the number lines below. Fill in the missing pieces. Then use the number line to answer the questions below.

Circle the fractions equivalent to ¼ in red.

List them below.

Circle the fractions equivalent to ½ in blue.

List them below.

Circle the fractions equivalent to ¾ in green.

List them below.

13



Find equivalent fractions below by multiplying the numerator and the denominator by the same number!

1 3

x 4 x 4

= 4 12

1 3

x 2 x 2

= 2 6

1 3

x 3 x 3

= 3 9

List 4 fractions equivalent to . List 4 fractions equivalent to .





23

35

57

10 11

16

49

2 5

20 =

Fill in the missing numerator to make the fractions below equivalent.

3 7

14 =

1 3

18 =

5 6

30 =

1 4

16 =

7 8

24 =

1 2

20 =

3 10

40 =

Answers may vary. Some possible answers include:






46

69

10 15

12 18

14 21

16 24

8 12

6 10

9 15

15 25

18 30

21 35

24 40

12 20

10 14

15 21

25 35

30 42

35 49

40 56

20 28

20 22

30 33

50 55

60 66

70 77

80 88

40 44

212

318

5 30

6 36

7 42

8 48

4 24

8 18

12 27

20 45

24 54

28 63

32 72

16 36

8 6 6 25

4 21 10 12

14




1 2

8 16

=

How do you know that these two fractions are equivalent? ______________________________________________________ ____________________________________________________________________________________________________________


3 4

6 8

=

How do you know that these two fractions are equivalent? _______________________________________________________ ______________________________________________________________________________________________________________

Would you rather have of a pizza, or of a pizza? Explain. 35

12 20

Answers will vary.

Answers will vary.

It doesn’t maMer, because the fracBons are equivalent.

15

_______________________________________________________ _____________________________________________________________________________________________________________________________________________________________________


Equivalent Fractions: Find the Fractions

This activity can be used for practice after students have developed the ability to determine

whether or not fractions are equivalent. 1.  Scatter the fraction cards throughout the

room. 2.  Have individuals or partners find the fraction

cards around the room. 3.  When students find a fraction card, they

record the fraction in the correct column on their recording sheet (underneath the equivalent fraction).

4.  Students continue until they have found and recorded all the fraction cards.

Pages 17 - 21 Fraction Cards

Pages 23 Answer Key

Recording Sheet Page 22

16


10 12

6 8

4 10

2 6

17

3 9

6 15

9 12

15 18

18

20 24

12 16

8 20

4 12

19

5 15

10 25

15 20

2530

20

6 18

12 30

18 24

30 36

21

1 3

2 5

3 4

5 6

Equivalent Fractions: Scavenger Hunt Recording Sheet!

Find the fraction cards hidden around the room. When you find a fraction card, decide which fraction below that it is equivalent to, and write the fraction in the correct column.

22


1 3

2 5

3 4

5 6

2 6

4 10

6 8

10 12

3 9

6 15

9 12

15 18

4 12

8 20

12 16

20 24

5 15

10 25

15 20

25 30

6 18

12 30

18 24

30 36

Equivalent Fractions: Scavenger Hunt Recording Sheet!

Find the fraction cards hidden around the room. When you find a fraction card, decide which fraction below that it is equivalent to, and write the fraction in the correct column.

23


Equivalent Fractions: Fraction Mazes

This activity can be used for practice after students have developed an

understanding of equivalent fractions.

Students have to help the alien find the way to his spaceship by coloring in all of

the fractions equivalent to a given fraction.

Pages 25 - 28 Fraction Mazes

Answer Keys Pages 29 - 32

24


1 2

5 10

9 18

3 6

4 5

2 3

1 4

1 3

7 8

2 3

4 8

8 16

0 2

7 12

3 5

4 7

3 14

2 6

20 40

3 4

11 20

6 9

3 4

7 8

1 3

2 4

9 10

3 8

3 8

2 5

6 12

4 8

8 16

1 12

4 9

2 2

3 4

9 18

4 6

9 10

8 8

1 4

4 5

2 3

3 6

10 20

12 24

11 22

1 2

Help the alien find his spaceship by coloring in

all of the fractions that are equivalent to 1/2!

Equivalent Fractions: Fraction Maze – 1/2

25


3 4

9 12

15 20

9 9

2 5

2 3

6 10

6 12

5 8

6 8

3 4

8 20

3 10

6 12

1 5

3 6

2 10

18 24

30 40

9 12

5 20

6 9

1 4

7 8

1 3

0 3

33 44

3 6

1 7

2 5

1 2

5 8

8 16

6 8

12 24

3 3

5 6

3 6

4 6

9 10

18 24

30 40

4 5

2 3

6 9

10 20

11 20

21 24

3 4




26


2 3

10 15

16 20

7 8

3 5

1 3

6 12

6 7

20 30

8 8

4 10

9 20

3 4

8 11

12 18

18 27

1 10

15 24

30 40

4 5

1 2

4 6

1 4

5 8

1 3

0 10

3 6

7 9

6 9

2 5

2 2

5 9

8 16

6 10

10 12

22 33

8 12

14 21

2 3

0 5

2 6

3 7

4 4

1 3

3 4

24 36

4 6

8 12

6 9




27


2 5

4 9

6 15

10 25

20 50

4 10

1 12

12 30

8 20

24 60

5 10

9 12

14 35

3 4

10 15

4 10

1 5

2 6

30 50

18 45

1 3

4 7

2 4

6 10

2 3

10 20

2 5

0 9

6 6

24 30

4 15

8 25

14 16

16 40

22 55

22 30

10 14

16 35

2 4

10 10

18 50

8 20

9 10

6 30

2 3

24 30

2 8

10 30

4 10




28


1 2

5 10

9 18

3 6

4 5

2 3

1 4

1 3

7 8

2 3

4 8

8 16

0 2

7 12

3 5

4 7

3 14

2 6

20 40

3 4

11 20

6 9

3 4

7 8

1 3

2 4

9 10

3 8

3 8

2 5

6 12

4 8

8 16

1 12

4 9

2 2

3 4

9 18

4 6

9 10

8 8

1 4

4 5

2 3

3 6

10 20

12 24

11 22

1 2



Equivalent Fractions: Answer Key – 1/2

29


3 4

9 12

15 20

9 9

2 5

2 3

6 10

6 12

5 8

6 8

3 4

8 20

3 10

6 12

1 5

3 6

2 10

18 24

30 40

9 12

5 20

6 9

1 4

7 8

1 3

0 3

33 44

3 6

1 7

2 5

1 2

5 8

8 16

6 8

12 24

3 3

5 6

3 6

4 6

9 10

18 24

30 40

4 5

2 3

6 9

10 20

11 20

21 24

3 4




30


2 3

10 15

16 20

7 8

3 5

1 3

6 12

6 7

20 30

8 8

4 10

9 20

3 4

8 11

12 18

18 27

1 10

15 24

30 40

4 5

1 2

4 6

1 4

5 8

1 3

0 10

3 6

7 9

6 9

2 5

2 2

5 9

8 16

6 10

10 12

22 33

8 12

14 21

2 3

0 5

2 6

3 7

4 4

1 3

3 4

24 36

4 6

8 12

6 9




31


2 5

4 9

6 15

10 25

20 50

4 10

1 12

12 30

8 20

24 60

5 10

9 12

14 35

3 4

10 15

4 10

1 5

2 6

30 50

18 45

1 3

4 7

2 4

6 10

2 3

10 20

2 5

0 9

6 6

24 30

4 15

8 25

14 16

16 40

22 55

22 30

10 14

16 35

2 4

10 10

18 50

8 20

9 10

6 30

2 3

24 30

2 8

10 30

4 10




32


Equivalent Fractions: Snowball Fight

33

Instructions 1.  Give each student a half sheet of paper

with a fraction on it. Tell them to crumple it up like a snowball.

2.  Explain to students that they will be having a snowball fight. During the fight, they will throw paper snowballs at each other without running or yelling. When told to “freeze,” they need to stop the snowball fight immediately.

3.  Begin the fight, and stop it when appropriate.

4.  Have each student choose one snowball, open it up, and find a partner that has a fraction that is equivalent to their own. Partners should stand next to each other until everybody has found a partner.

5.  Check that each student partnered up appropriately, and then repeat!

Snowballs Pages 34 - 47


1 34

4

2 8

3 35

12

4 16

2 36

3

4 6

6 37

9

8 12

3 38

5

6 10

9 39

15

12 20

3 40

4

6 8

9 41

12

12 16

5 42

6

10 12

15 43

18

20 24

3 44

10

6 20

9 45

30

12 40

5 46

8

10 16

15 47

24

20 32

Equivalent Fractions: Mystery Pictures

This activity should be used with students who have a good understanding of

equivalent fractions and are able to determine whether fractions are equivalent with relative ease. This activity would be extremely frustrating to a student who is

not proficient in determining whether fractions are equivalent.

The instructions at the top of the page tell

students how to color different sets of equivalent fractions.

Pages 49 - 51 Mystery Pictures

Answer Keys Pages 52 - 54

48


1 2

4 5

10 12

8 9

1 7

2 15

2 4

7 10

6 8

1 9

20 22

15 20

3 5

1 4

4 6

14 21

2 3

10 15

8 12

3 6

14 16

2 10

3 8

8 12

20 30

6 9

16 24

200 300

18 27

2 3

4 6

8 20

6 12

8 10

10 15

14 21

8 12

2 6

18 27

5 15

12 18

6 9

14 21

9 10

4 7

4 6

2 3

6 9

4 12

20 30

10 30

200 300

2 3

4 6

7 14

14 21

18 27

20 30

4 6

14 21

2 3

10 15

20 30

16 24

2 3

14 21

20 30

6 9

14 21

12 18

20 30

2 3

12 18

4 6

14 21

8 12

6 9

200 300

12 18

20 30

18 27

2 3

12 18

20 30

2 3

6 9

12 18

200 300

8 16

18 27

20 30

1 3

14 21

20 30

6 9

7 21

4 6

20 30

10 20

3 12

2 3

6 9

4 6

3 9

6 18

8 24

14 21

12 18

18 27

6 8

5 20

7 10

18 27

200 300

6 9

4 6

12 18

6 9

2 3

2 4

12 16

3 4

4 14

1 8

12 18

2 3

18 27

20 30

4 6

1 9

1 10

2 8

9 10

2 16

1 2

2 10

3 8

4 7

10 12

9 10

20 40

2 7

3 4

Equivalent Fractions: Mystery Picture #1

Color all of the fractions equivalent to 1/3 grey. Color all of the fractions equivalent to 2/3 yellow. Leave all of the other fractions blank.

49


1 3

4 5

11 12

3 9

1 5

2 15

2 3

7 8

6 6

1 9

20 22

16 20

3 5

0 4

4 6

14 20

2 3

3 15

11 12

4 10

2 10

1 10

3 8

8 12

2 5

3 3

1 5

2 12

3 10

5 6

1 9

8 20

6 10

8 10

2 8

10 50

8 12

2 6

4 16

15 15

7 8

6 9

6 8

9 10

4 7

4 16

2 3

0 9

4 12

1 4

10 50

20 40

9 10

3 4

7 20

14 15

10 40

20 30

4 5

1 21

5 20

2 16

1 6

2 20

9 12

14 14

5 6

1 4

6 24

2 8

7 28

8 32

4 5

1 2

3 5

15 20

6 6

11 12

3 12

1 5

0 27

2 5

10 40

7 8

6 12

2 9

12 16

1 7

9 10

5 20

2 3

1 3

3 3

6 24

5 6

8 16

4 6

1 5

3 21

3 12

10 40

6 9

4 6

3 9

3 12

8 24

4 8

12 18

30 40

0 8

3 8

10 10

4 5

1 7

2 9

5 6

10 90

4 7

2 3

4 4

1 3

3 5

7 21

1 8

15 16

2 3

4 4

7 7

2 9

1 9

1 10

3 8

9 10

0 16

1 3

2 10

3 8

4 7

10 12

9 10

20 50

2 7

3 3


Color all of the fractions equivalent to 1/4 blue. Color all of the fractions equivalent to 2/4 green. Color all of the fractions equivalent to 3/4 purple. Leave all of the other fractions blank.

50


5 6

4 5

1 1

2 9

1 5

2 5

3 15

7 8

3 3

1 9

2 20

16 20

3 6

0 4

2 10

4 5

6 6

2 3

3 15

4 10

2 4

1 10

4 8

8 16

2 4

3 3

1 5

2 12

10 50

5 6

1 2

8 16

6 12

5 10

2 12

10 20

6 12

2 6

4 20

15 15

7 14

9 18

2 12

5 10

7 14

4 8

1 6

1 2

4 8

1 5

10 20

3 6

3 18

4 8

10 20

14 15

20 40

2 4

3 18

3 6

6 30

2 4

1 6

10 20

9 18

3 5

1 3

2 4

6 12

4 8

7 14

2 10

4 8

1 2

3 6

10 20

6 6

10 20

3 6

1 2

10 60

5 10

10 50

7 14

4 24

2 4

8 16

1 2

9 18

4 8

4 24

2 4

3 6

4 20

5 10

8 16

1 6

6 12

3 6

6 12

1 6

5 10

4 8

3 9

3 15

3 3

4 8

10 20

10 60

5 10

3 8

10 20

7 14

1 7

2 9

1 5

10 90

4 7

2 4

4 8

1 3

3 5

7 21

9 10

15 16

2 3

2 14

7 7

2 9

1 9

20 50

3 8

1 8

0 16

1 3

5 5

3 8

4 7

10 12

9 10

1 10

2 7

8 24


Color all of the fractions equivalent to 1/2 blue. Color all of the fractions equivalent to 1/5 brown. Color all of the fractions equivalent to 1/6 purple. Leave all of the other fractions blank.

51


1 2

4 5

10 12

8 9

1 7

2 15

2 4

7 10

6 8

1 9

20 22

15 20

3 5

1 4

4 6

14 21

2 3

10 15

8 12

3 6

14 16

2 10

3 8

8 12

20 30

6 9

16 24

200 300

18 27

2 3

4 6

8 20

6 12

8 10

10 15

14 21

8 12

2 6

18 27

5 15

12 18

6 9

14 21

9 10

4 7

4 6

2 3

6 9

4 12

20 30

10 30

200 300

2 3

4 6

7 14

14 21

18 27

20 30

4 6

14 21

2 3

10 15

20 30

16 24

2 3

14 21

20 30

6 9

14 21

12 18

20 30

2 3

12 18

4 6

14 21

8 12

6 9

200 300

12 18

20 30

18 27

2 3

12 18

20 30

2 3

6 9

12 18

200 300

8 16

18 27

20 30

1 3

14 21

20 30

6 9

7 21

4 6

20 30

10 20

3 12

2 3

6 9

4 6

3 9

6 18

8 24

14 21

12 18

18 27

6 8

5 20

7 10

18 27

200 300

6 9

4 6

12 18

6 9

2 3

2 4

12 16

3 4

4 14

1 8

12 18

2 3

18 27

20 30

4 6

1 9

1 10

2 8

9 10

2 16

1 2

2 10

3 8

4 7

10 12

9 10

20 40

2 7

3 4

Equivalent Fractions: Mystery Picture #1 Answer Key

Color all of the fractions equivalent to 1/3 black. Color all of the fractions equivalent to 2/3 yellow. Leave all of the other fractions blank.

52


1 3

4 5

11 12

3 9

1 5

2 15

2 3

7 8

6 6

1 9

20 22

16 20

3 5

0 4

4 6

14 20

2 3

3 15

11 12

4 10

2 10

1 10

3 8

8 12

2 5

3 3

1 5

2 12

3 10

5 6

1 9

8 20

6 10

8 10

2 8

10 50

8 12

2 6

4 16

15 15

7 8

6 9

6 8

9 10

4 7

4 16

2 3

0 9

4 12

1 4

10 50

20 40

9 10

3 4

7 20

14 15

10 40

20 30

4 5

1 21

5 20

2 16

1 6

2 20

9 12

14 14

5 6

1 4

6 24

2 8

7 28

8 32

4 5

1 2

3 5

15 20

6 6

11 12

3 12

1 5

0 27

2 5

10 40

7 8

6 12

2 9

12 16

1 7

9 10

5 20

2 3

1 3

3 3

6 24

5 6

8 16

4 6

1 5

3 21

3 12

10 40

6 9

4 6

3 9

3 12

8 24

4 8

12 18

30 40

0 8

3 8

10 10

4 5

1 7

2 9

5 6

10 90

4 7

2 3

4 4

1 3

3 5

7 21

1 8

15 16

2 3

4 4

7 7

2 9

1 9

1 10

3 8

9 10

0 16

1 3

2 10

3 8

4 7

10 12

9 10

20 50

2 7

3 3


Color all of the fractions equivalent to 1/4 blue. Color all of the fractions equivalent to 2/4 green. Color all of the fractions equivalent to 3/4 purple. Leave all of the other fractions blank.

53


5 6

4 5

1 1

2 9

1 5

2 5

3 15

7 8

3 3

1 9

2 20

16 20

3 6

0 4

2 10

4 5

6 6

2 3

3 15

4 10

2 4

1 10

4 8

8 16

2 4

3 3

1 5

2 12

10 50

5 6

1 2

8 16

6 12

5 10

2 12

10 20

6 12

2 6

4 20

15 15

7 14

9 18

2 12

5 10

7 14

4 8

1 6

1 2

4 8

1 5

10 20

3 6

3 18

4 8

10 20

14 15

20 40

2 4

3 18

3 6

6 30

2 4

1 6

10 20

9 18

3 5

1 3

2 4

6 12

4 8

7 14

2 10

4 8

1 2

3 6

10 20

6 6

10 20

3 6

1 2

10 60

5 10

10 50

7 14

4 24

2 4

8 16

1 2

9 18

4 8

4 24

2 4

3 6

4 20

5 10

8 16

1 6

6 12

3 6

6 12

1 6

5 10

4 8

3 9

3 15

3 3

4 8

10 20

10 60

5 10

3 8

10 20

7 14

1 7

2 9

1 5

10 90

4 7

2 4

4 8

1 3

3 5

7 21

9 10

15 16

2 3

2 14

7 7

2 9

1 9

20 50

3 8

1 8

0 16

1 3

5 5

3 8

4 7

10 12

9 10

1 10

2 7

8 24


Color all of the fractions equivalent to 1/2 blue. Color all of the fractions equivalent to 1/5 brown. Color all of the fractions equivalent to 1/6 purple. Leave all of the other fractions blank.

54


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THANK YOU! Thank you for downloading my Cause and Effect: 24 Task Cards Product! My hope is that it will make your school year a little easier and more enjoyable. To get updates on my new products

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56

Acknowledgements

http://imlovinglit.blogspot.com

www.mycutegraphics.com

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