HELP-YOURSELF MULTILEVEL MATH CENTER: Fractions

©2010 Lakeshore HH371(800) 428-4414 Ages 7+www.lakeshorelearning.com Made in China

FractionsHELP-YOURSELF MULTILEVEL MATH CENTER:

Designed to meet these objectives:Math• Students will understand fractions as a part of a set or a whole.• Students will recognize and name fractions from 1⁄12 to one whole.• Students will distinguish the fraction parts of a whole.

WARNING:CHOKING HAZARD—Small parts.Not for children under 3 yrs.


WARNING: CHOKING HAZARDSmall parts. Not for children under 3 yrs.











March 6, 2008

Help students understand fractions with this fun-to-use math center! Students simply pick up a set of fraction bars, grab an activity sheet, and read the easy-to-follow instructions to get started! Perfect for independent learning, the center has enough for up to six students to work on at once. Students can also work in small groups for hands-on math-building practice!

What’s Included• Fractions center with a pouch and worksheet storage• 6 fractions pouches (each pouch contains fraction bars from one whole to 1⁄12)• Label card with directions• 24 reproducible activities

Before You BeginSet the materials on a table in your classroom. Next, place the fraction bars in individual pouches. Make sure each pouch has a set of fraction bars from 1⁄12 to one whole. Place the pouches in the designated compartments in the storage unit. Select a reproducible you would like students to complete and make enough copies for each student. Place the reproducible in the top tray marked “take one” and invite students to take turns using the materials and completing the activity. Be sure to tell students to return their completed activity pages to the “turn in” tray.

About the ReproduciblesThe center comes with 24 reproducible activities. There are eight activities in each of three levels: A, B, and C. The activities are designed to engage students in hands-on learning, reinforcing these essential math concepts.

Using the Math CenterThere are a variety of ways to use the center in your classroom. Whether you choose to use the center for small-group instruction, to reinforce prior learning by having students work in pairs, or to give additional practice to individual students, this center provides all the essentials to meet the needs of your students!For small groups of up to six children at a time, select an activity page from the skill area you would like to target and reproduce a copy of the activity for each child. Then provide each student with a fractions pouch. Work through several of the activities with students, modeling the strategies needed to solve each problem. Then invite students to use their fraction bars and work together to complete the remaining activities. Allow

2

students to discuss the problems as they work, sharing problem solving strategies and recalling their basic understanding of math concepts together.You may want to have students work in pairs to complete the activities. Make enough copies of the reproducible pages for each child to have her own, then ask partners to share fraction bars as they work on the activity together. Encourage them to share their thought processes as they complete the activity so that they can learn from one another.The center is perfect for reinforcing fractions concepts one on one! After students have completed other work, encourage them to select an activity from the “take one” tray, along with a fractions pouch, and invite them to take the items to their desks to complete the activity on their own. Once they are finished, encourage students to return the materials to the center and place the completed activity sheet in the tray marked “turn in” for you to check at a later time.

Meeting Individual NeedsELLIn a small group, distribute a set of fraction bars to each student. Display each fraction bar and call it out by its name (one-third or one-twelfth and so on). Create a reference chart with each fraction piece posted on the chart with its name labeled next to it. Using the chart, show how fractions are part of a whole and that students will be using the fraction pieces to help them complete their worksheets. Work on an activity sheet with students to make sure they understand what they need to do to complete a worksheet.

Reteach/Extra SupportMeet with a small group of students and work on a selected activity. For example, guide students through the “Fractions Schoolhouse” using the fraction bar manipulatives. Starting with #1 on the worksheet, find the levels on the schoolhouse that are divided into two equal areas and four equal areas. Additionally, have students find all of the 1⁄2 fraction bar pieces and 1⁄4 fraction bar pieces to use as models. Have them start with one 1⁄2 fraction bar piece and line up 1⁄4 pieces below the 1⁄2 piece until they are the same size. Students should see that 1⁄2 = 2⁄4 and that they should fill out the fractions number sentence for question 1. You may also choose to have them color in the appropriate fraction bars on the worksheet for a permanent visual model. Continue through each problem on the worksheet, using the fraction bar pieces to model the equivalent fractions.

In a small group, direct students to play with their fraction bars to show different ways of making a whole (such as eight 1⁄8 pieces make a whole). Afterward, show students all of the ways you can make one whole with the fraction bars included in the pouch. Place different fractions on a table so that they are lined up vertically so students can compare and see fractions greater and smaller than each other and how different fractions could equal the same value, such as 4⁄12 = 1⁄3.

ChallengeOn their activities, tell students you will only accept fraction answers that are in their simplest form. For example, 5⁄10 would only count as a correct answer if it was changed to 1⁄2. Have students create a Try This! section at the bottom of each worksheet with adding and subtracting fractions and/or comparing fractions. Introduce mixed numbers and improper fractions.

Informal Assessment IdeasThe 24 leveled worksheets provided in this guide can be used as an effective informal assessment of students.

• Create a schedule where students are responsible for completing one worksheet per week. Require students to answer all of the problems correctly on a worksheet before they can move on to the next worksheet.

• Keep students’ worksheets on file to see if there are any patterns to the problems they are having trouble with. The worksheets can be used as a record to help you decide to review, reteach, or spend more time on particular areas.

• Since the worksheets are leveled into three groups (low, medium and high), you can use a B (medium) activity as a baseline indicator. Depending on how students perform on that worksheet, you can have them start with the easiest activity (for the kids who need extra support) or assign them multiple worksheets to complete (for your students who need more of a challenge).

Name:Fractions

3 © Lakeshore

Directions:Use your fraction bars to figure out what fraction of the pool each swimmer has left to swim to reach the finish line.

Swim Meet

1.

2.

3.

4.

5.

6.

Hint: Use halves.

Hint: Use thirds.

Hint: Use fourths.

Hint: Use sixths.

Hint: Use eighths.

Hint: Use twelfths.

Name:Fractions

4 © Lakeshore

Directions: Five friends are climbing Copper Mountain. Write the fraction that shows how far each one has climbed. Use your fraction bars to help you figure out the answers.

Super Summit

Dan Sandy Marsha Keisha Victor

Name:Fractions

5 © Lakeshore

Directions:Write the fraction that shows what part of the beach towel looks like the design in each circle. Use the fraction bars to help you.

At the Beach

2. 4.

3.

Draw a beach towel with two different designs. Then writefractions that show what part of the beach towel is each design.

1.

Name:Fractions

6 © Lakeshore

The Kim family is having soup for a snack. They always have bread with their soup.

Directions:Use your fraction bars to help you figure out the questions below.

Bread & Soup

1. If David gave a slice of bread to all of his classmates until he ran out, how many slices would he give out?

___________________________________

2. David, Daniel, and Jennifer each ate one piece of bread. Write the fraction for how much of the bread they ate.

___________________________________

3. How many pieces of wheat bread would Eric need to eat in order to eat half of it?

___________________________________

4. Eric gave Peter two pieces of wheat bread. Write the fraction.

___________________________________

David Eric

27

Answer Key

12

23

34

46

48

212

14

46

12

45

13

12

12

14

14

25

35

46

26

Answers will vary.

8 3

263

8

Name:Fractions

7 © Lakeshore

The Sanchez sisters are playing with toy blocks. They are building different-sized columns for a castle.


Toy Blocks

1. How many blocks did Maria use?

_____________________________________

2. How many are left over?

_____________________________________

3. Write the fraction for how many blocks were used and how many were left over.

of the blocks were used.

of the blocks were left over.

4. How many blocks did Bethany use?

_____________________________________

5. How many are left over?

_____________________________________

6. Write the fraction for how many blocks were used and how many were left over.

of the blocks were used.

of the blocks were left over.

Maria Bethany

Name:Fractions

8 © Lakeshore


Build a Cabin

1. How many fi fths are in one whole? ___________________________

2. How many tenths are in one whole? ___________________________

3. How many tenths equal ? ___________________________

4. What does + equal? ___________________________

5. How many tenths are in ? ___________________________

15

15

15

35

Name:Fractions

9 © Lakeshore


Create a Castle

1. How many halves equal one whole? ___________________________

2. How many fourths equal ? ________ One whole? ___________________

3. How many eighths equal ? ___________________________

4. What does + equal? ___________________________

5. How many eighths equal ? ___________________________

14

14

14

34

12

Name:Fractions

10 © Lakeshore

Directions: Use your fraction bars to help you answer the questions below.

Hidden Hut

1. How many thirds equal one whole? ___________________________

2. How many sixths equal ? ___________________________

3. How many twelfths equal ? ________ One whole? ___________________

4. How many sixths equal ? ________ One whole? ___________________

5. How many twelfths equal ? ___________________________

13

46

13

23

28

Answer Key

510

2

6

25

22 4

2

6

24

324 12

4 68

3

3 5

1 34 8

4 8

1

5

3

Name:Fractions

Sally John Max Jeff Katie

1. Jeff’s kite is blue, red, and yellow.

2. John’s kite is red, blue, white, and yellow.

3. Katie’s kite is pink, purple, and white.

4. Max’s kite is green and white.

5. Sally’s kite is purple, orange, and blue.

12

14

14

14

14

14

14

14

14

24

12

12

13

13

13

BONUS: Unscramble the letters to learn where kites were invented! ( N A H C I )

_______ _______ _______ _______ _______

11 © Lakeshore

Up, Up, and Away!Directions: Use the clues below to color each child’s kite. Use the fraction bars to help you. Color the kites using the colors shown on each section.

purp

le

red blue

blue

green

pink

purp

le

purplewh

ite

white

red

yello

w

white

yellow

oran

ge

blue

Name:Fractions

12 © Lakeshore

Directions:1. Place the corresponding fraction bars on top of each level of the schoolhouse.2. Use the fraction bars to answer the questions below.

Fraction Schoolhouse

is the same as _______ .

is the same as _______ .

How many eighths equal ? ______

12

26

14

4

1

How many sixths is ? ______

How many fourths equal ? ______

What does + equal? ______ 14

14

68

121.

2.

3.

4.

5.

6.

Name:Fractions

13 © Lakeshore

Directions:Tom and each of his friends had candy bars. Write the fraction that shows the amount of candy bar each friend ate. Use your fraction bars to help you figure out the answers.

Sweet Treats

Tom

Sally

Dinah

Gus

BONUS: Three other friends shared a candy bar. Sarah ate ,

Allison ate , and Sandy ate . How much of the candy bar

did they eat altogether?

12

14

14

Name:Fractions

Mike DadBeth Bailey MomTabby

14 © Lakeshore

Directions:1. Use your fraction bars to compare the heights of each person in the Fraction family.2. Fill in the missing fractions below.

The Fraction Family

Mike is shorter than Mom.

Dad is taller than Beth.

Beth is as tall as Dad.

6

1

3

Dad is taller than Mike.

Bailey is shorter than Dad.

Dad is taller than Tabby.

3

29

Answer Key

C H I N A

2 36

334

28

12

12

610

13

1012

1

4

4

1

68

810

1 whole

Name:Fractions

15 © Lakeshore

Directions: Use your fraction bar pieces to help you find four different ways you can divide each stick of gum into equal pieces.

Fun With Gum

What fraction pieces did you use? __________________________




1.

2.

3.

4.

Name:Fractions

16 © Lakeshore

Directions:Use your fraction pieces to help you answer the questions below.

Shaded Shapes

1. What fraction is shaded? ____________

What fraction is not shaded? _________

2. What fraction is shaded? ____________

What fraction is not shaded? _________

3. What fraction is shaded? ____________ What fraction is not shaded? _________

Name:Fractions

17 © Lakeshore

Directions:Martin and his friends each had grapes as an afternoon snack. Write the fraction that shows the amount of grapes each friend ate. Use your fraction bars to help you figure out the answers.

Sweet Treats

Martin had a bunch of 8 grapes.

After his snack, he had 5 grapes left.

Write the fraction that he ate.

Amanda had a bunch of 8 grapes.

After her snack, she had 6 grapes left.

Write the fraction that she ate.

Martha had a bunch of 4 grapes.



Gina had a bunch of 3 grapes.



Joe had a bunch of 8 grapes.

After his snack, he had 7 grapes left.

Write the fraction that he ate.

Name:Fractions

18 © Lakeshore

Directions:Parker and Sabrina are flipping a coin to see who gets the bigger piece of candy ribbon. Use your fraction bars to help you draw the different sizes. Be sure to draw a bigger fraction for the person who won.

More or Less

1. Parker won. His piece is bigger than Sabrina’s.

Sabrina’s piece.

Answers

2. Sabrina won. Her piece is bigger than Parker’s.

Parker’s piece.

3. Sabrina won. Her piece is bigger than Parker’s.

Parker’s piece.

13

25

38

30

Answer Key

Answers will vary.

68

812

28

412

512

712

38

28

14

13

18

Answers will vary.

Name:Fractions

19 © Lakeshore

Directions:Use your fraction bars to help you solve these word problems.

Fractions, Fractions Everywhere!

Maya and Juan were eating pizza. Maya ate of the pizza. Juan ate of the pizza. How much of the pizza did they eat altogether?

Phillip and Nicole were sharing an orange. They each ate of the orange. How much of the orange did they eat in all?

Lulu and Julio were running in a race. Julio ran of a mile. Lulu ran of a mile more. What fraction of a mile did Lulu run?

Ms. Betts had 4 enormous cookies to break apart for the class party. As she was walking into the classroom, she dropped the cookies, and broke off of each one. How much is left of each cookie?

1.

2.

3.

4.

212

412

26

310

15

510

Name:Fractions

HintFor subtraction, remember to place the larger fraction in the first box.

Work Space1.

=

___________

2.

=

____________

3.

=

___________

4.

=

___________

5.

=

___________

6.

=

___________

Grand Total ___________

28

16

512+ 2

816

+ = + = =624

424

1024

512

+

+

-

-

-

20 © Lakeshore

Directions:1. Choose two fraction bars from your pouch.2. Write the fractions in the spaces, then solve the equation. 3. When you have completed six equations, add up all of your answers. Write the grand total in the space at the bottom of the page.

Action Fractions

Name:Fractions

21 © Lakeshore

Fraction BoardsDirections:1. Choose two fraction bars from the pouch.2. Write down the fractions you picked on the surfboard and add them together.3. Reduce your answer, making sure to show how you found the least common

denominator. Then color the surfboard according to the following key:

Blue = less than Red = to Yellow = greater than

4. Repeat steps 1 through 3 for all eight surfboards.

13

12

13

12

Name:Fractions

+

+

-

-

22 © Lakeshore

A Piece of PieDirections:1. For each line below, choose two fraction bars from the pouch and write

down the equation you come up with. (If the question has the subtraction sign, make sure you place the larger fraction to the left of the sign.)

2. Solve the equation you wrote, then reduce the fraction.3. Shade the amount of the pie that your answer represents.4. When you have completed four equations, find the least common

denominator for your four answers.5. On the bottom line, write your four answers in order from least to greatest.

31

Answer Key

612

46

810

45

Answers will vary.

Answers will vary.

Answers will vary.

Name:Fractions

23 © Lakeshore

Directions:Use the fraction bar pieces to help you answer the questions below.

Popsicle Breaks

1. Kendra divided her giant Popsicle into sixths. Four friends each ate one piece, and Kendra ate two pieces.

_________________________________

What fraction of the Popsicle did Kendra eat?

_________________________________

What fraction of the Popsicle did her friends eat?

2. Troy divided his Popsicle into five equal pieces. He ate three of them.

_________________________________

What fraction of the Popsicle did Troy eat?

_________________________________

What fraction of the Popsicle was left over?

3. Taylor divided his Popsicle into 10 equal parts. His three brothers each ate one piece, and he ate four himself.

_________________________________

What fraction of the Popsicle was eaten?

_________________________________

What fraction of the Popsicle was left over?

Name:Fractions

24 © Lakeshore

Directions:Use your fraction pieces to help you answer the questions below.

Feeding Fractions

You have to share this sandwich with your whole family! You have two sisters, two brothers, your mom, dad and grandpa.

How many pieces would you have to have? __________________

What fraction of the sandwich would you give to each person, including yourself?

__________________

If you only had to share with your parents and your grandpa, what fraction of the sandwich would you give to each person? __________________

You ate of this candy bar, but you want to share the rest with two of your friends.

What fraction of the candy bar would each friend get? __________________

What if you wanted to share the rest with four of your friends?

How much would each friend get? __________________

You want to share your ice cream sandwich with five friends.

What fraction of the ice cream sandwich would you give to each person, including

yourself? __________________

13

Name:Fractions

25 © Lakeshore

Directions:Place the correct fraction pieces on the bar below to make the fractions shown.

Fill in the Fractions

1. Using your eighths, make the fraction .

How many eighths are left over? __________________

2. Using your sixths, make the fraction .

Write an equivalent fraction __________________

3. Using your fifths, make the fraction .

How many fifths are left over? __________________

4. Using your twelfths, make the fraction .

Write an equivalent fraction __________________

5. Using your thirds, make the fraction .

How many thirds are left over? __________________

6. Using your tenths, make the fraction .

Write two equivalent fractions __________________

38

45

23

46

912

510

Name:Fractions

26 © Lakeshore

Directions:Shade in each rectangle for the fraction shown. Use your fraction bar pieces to help you.

Fill in the Fractions 2

How much is left over? __________________________________

1. Shade 812


2. Shade 25


3. Shade 36


4. Shade 710

32

Answer Key

26

46

35

25

710

310

13

16

16

18

14

8

5

1

1

412

35

36

310

23

34

12

24

HELP-YOURSELF MULTILEVEL MATH CENTER: Fractions

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