HELP-YOURSELF MULTILEVEL MATH CENTER: Fractions
Transcript of 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 HAZARD—Small parts.Not for children under 3 yrs.
WARNING: CHOKING HAZARDSmall parts. Not for children under 3 yrs.
WARNING:CHOKING HAZARD—Small parts.Not for children under 3 yrs.
WARNING: CHOKING HAZARDSmall parts. Not for children under 3 yrs.
WARNING:CHOKING HAZARD—Small parts.Not for children under 3 yrs.
WARNING:CHOKING HAZARD—Small parts.Not for children under 3 yrs.
WARNING:CHOKING HAZARD—Small parts.Not for children under 3 yrs.
WARNING:CHOKING HAZARD—Small parts.Not for children under 3 yrs.
WARNING: CHOKING HAZARDSmall parts. Not for children under 3 yrs.
WARNING: CHOKING HAZARDSmall parts. Not for children under 3 yrs.
WARNING: CHOKING HAZARDSmall 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
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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
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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
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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
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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.
Directions:Use your fraction bars to help you figure out the questions below.
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
Directions:Use your fraction bars to help you figure out the questions below.
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
Directions:Use your fraction bars to help you figure out the questions below.
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 )
_______ _______ _______ _______ _______
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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
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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? __________________________
What fraction pieces did you use? __________________________
What fraction pieces did you use? __________________________
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.
After her snack, she had 3 grapes left.
Write the fraction that she ate.
Gina had a bunch of 3 grapes.
After her snack, she had 2 grapes left.
Write the fraction that she ate.
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.
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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
How much is left over? __________________________________
2. Shade 25
How much is left over? __________________________________
3. Shade 36
How much is left over? __________________________________
4. Shade 710
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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