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Tu r

n - to - Le arn

MATH

MATH

LEARNING WHEELS

LEARNING WHEELS

20 Ready-to-Reproduce Patterns

That Put a New Spin on Math Skill-Building!

S C H O L A S T I C

B

P

ROFESSIONAL OOKS

2 Turn-to-Learn: Math Learning Wheels © Jacquelyn Johnson Howes, Scholastic Teaching Resources

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A c k n o w l e d g m e n t P a g e

To my children Rick, Tony, Steve and Betsy. And to all of my students who have enjoyed learning math with math wheels.

Scholastic Inc. grants teachers permission to photocopy the patterns from this book for classroom use. No other

x

✖ 6 ✖ 6 ✖ 6 ✖ 6 ✖ 6 ✖ 6

x

5 ✖ 6 Turn-to-Learn: Math Learning Wheels © Jacquelyn Johnson Howes, Scholastic Teaching Resources

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Ta b l e o f C o n t e n t s

Welcome to Math Wheels! . . . 4

Putting Math Wheels Together . . . 5

Introducing Math Wheels . . . 6

The Wheels

. . . 11

Counting Bear

. . . 13

Numeration

Two-ie the Toucan

. . . 16

Skip Counting

Plus the Cat

. . . 19

Addition

Minus the Dog . . . 23

Subtraction

Penny the Pig

. . . 27

Money

Hickory Dickory Clock

. . . 30

Time

George the Giraffe

. . . 34

Patterns

Sam the Shape Clown

. . . 37

Geometric Shapes and Math Symbols

Times the Dinosaur

. . . 40

Simple Multiplication

Piece-O-Pizza

. . . 43

Simple Fractions

Turn-to-Learn: Math Learning Wheels © Jacquelyn Johnson Howes, Scholastic Teaching Resources

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Welcome to Math Wheels!

Math Wheels are a fun-filled interactive alternative to flash cards and worksheets that present math facts in a game format that children love. Because they invite children to take skill-building into their own hands, Math Wheels are a powerful learning tool you and your students will enjoy using again and again. Each engaging shape is designed to comple-ment popular classroom themes. What’s more, because the wheels are self-correcting (all students have to do is flip the moving answer -hider to reveal the solution), they offer children instant feedback. And, if a child does miss a problem, a turn of the wheel provides a fresh opportunity to try again. Some of the wheels are interchangeable (Plus, Minus and

Times) so if, for example, you are doing a dinosaur unit, you can enhance the unit by pairing the dinosaur shape with the problem wheel that

addresses the math skill of your choice.

Math Wheels are perfect for use with the whole class, in small group set-tings, and for individual one-on-one practice. They can be used as the focus of a teacher -directed activity, or placed in a learning center for children to use independently or in pairs. And best of all, Math Wheels are easy to make and simple to store.

Turn-to-Learn: Math Learning Wheels © Jacquelyn Johnson Howes, Scholastic Teaching Resources

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P u t t i n g M a t h W h e e l s To g e t h e r

Whenever possible, involve children in making the wheels themselves.

1. To make the wheels you’ll need:

‱ paper ‱ markers or crayons ‱ scissors

‱ brass fasteners ‱ glue ‱ oaktag

You can make the wheels in the following ways: ‱ Simply photocopy the patterns, cut, and color;

‱ Photocopy the patterns and paste them to oaktag (or manila folders) for added durability, cut and color;

‱ Photocopy the patterns onto colored paper, paste them to oaktag, and cut them out;

‱ Photocopy the patterns directly onto oaktag if your copier allows, and cut them out.

2. Next, cut open the windows. While older students may be able to do this

on their own, younger ones may need some help. In either case it helps to use small pointed scissors.

3. Once you’ve created the character, use a brass fastener to attach the

problem wheel through the

x

checking to be sure that the problems and the

answers appear in the windows. Use a second brass fastener to attach the moveable answer-hider through the circle .

CONSTRUCTION TIPS

1

1.. Color contrasts: You can copy each problem wheel onto colored paper that

contrasts with the color of the character. This contrast makes it easier for children to focus on the information that appears in the character’s windows.

2

2.. Laminated wheels: If you would like to make sturdier wheels, try laminating

them.

3

3.. Textured wheels: You can give your Math Wheels added texture by

cover-ing them with colored felt or yarn, cotton balls, or glitter. You can also add googlie eyes.

4

4.. Oversized wheels: While students will love having their own Math Wheels,

you may want to make an enlarged version to display in a learning center or to use while working with the whole class. To make these oversized ver-sions, simply enlarge the patterns on your copy machine and follow the assembly steps outlined above.

Turn-to-Learn: Math Learning Wheels © Jacquelyn Johnson Howes, Scholastic Teaching Resources

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I n t r o d u c i n g M a t h W h e e l s

Math Wheels are a wonderful tool for practicing or reinforcing math facts. Prior to using the Math Wheels in your class, children may need many opportu-nities to come to an understanding of the concepts that lie beneath the skills and facts. Concrete activities using manipu-latives, coupled with real-life math expe-riences (measuring, counting, sorting, graphing, estimating, etc.), provide chil-dren with the rich background they will need to get the most from Math Wheels.

It is best to introduce the wheels in a small group setting. After demonstrat-ing how to use each wheel, call atten-tion to the operaatten-tion or skill it features. Show children how one part of each character can be used to hide the answer so they can check their work. Be certain to allow each child a chance to use the wheel with you.

Personifying Math Wheel Characters

Math Wheels come to life when they are treated as class mascots who live in your math corner. Begin by talking to a Math Wheel character as you

TIPS FOR SENSITIVE

EVALUATIONS WITH

MATH WHEELS

‱

Children are often sensitive to

their own progress without adult intervention or formal yardsticks. Encourage chil-dren to play down their com-petitive spirit and to respond positively to each other’s progress as they use the math wheels.

‱

You might keep some

manipu-latives—connecting cubes or counters—on hand. Then, as you work through problems with the Math Wheels, invite children to use the manipula-tives to demonstrate how they arrived at each answer.

‱

Notice if any children are

Turn-to-Learn: Math Learning Wheels © Jacquelyn Johnson Howes, Scholastic Teaching Resources

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‱

Have Math Wheel characters await your children at the classroom door. Invite students to solve a Math Wheel problem as they enter the room or leave for recess.

‱

When you have a few moments to spare (lining up to go somewhere,

wait-ing for dismissal, etc.) use your character to dialogue with children about the math they learned that day.

C u s t o m i z i n g M a t h W h e e l s

You and your students can create your own Math Wheel characters like the baseball wheel shown here using the blank problem wheel templates on page 47. Once you’ve created the characters and are ready to attach the problem wheel, check to be sure that the problems and answers show through the windows properly.

M o r e M a t h W h e e l I d e a s

‱

String a length of clothesline or yarn across a bulletin board; hang the line

low enough so children can reach it. Place each character and one or more of the problem wheels you’ve already introduced to the group into a self-clos-ing plastic bag. Use a paint marker (available from art supply stores) to label each bag. Use a clothespin to clip each bag to the line and invite children to access them throughout the day.

‱

Create a Math Wheel display to enliven the classroom and to help you

keep track of which wheels each student has used. Cover a bulletin board with colorful paper. Tack the Math Wheels across the top of the display. Use

2 + 2 4 Turn-to-Learn: Math Learning Wheels © Jacquelyn Johnson Howes, Scholastic Teaching Resources

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a marker to draw vertical lines between the wheels and then draw horizontal lines across the board creating enough boxes under each Math Wheel for your students. Write their names to the left of the chart. As students are introduced to a particular Math Wheel, invite them to place an X or a sticker in the box below the character that corresponds with their name.

This will help you and your students keep track of the work they are doing.

‱

You can use completed wheels to make a class book of math story

prob-lems. Have students pick their favorite characters to include. Review some of

2 5:00 A B C D E 7Âą

Jaime

Ingrid

Robert

Liza

Tony

Carmen

Students

Turn-to-Learn: Math Learning Wheels © Jacquelyn Johnson Howes, Scholastic Teaching Resources

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H o m e S c h o o l C o n n e c t i o n

‱

Math Wheels are a perfect addition to a take-home thematic

backpack program. Be certain to include a letter explaining the importance of using Math Wheels with children, copies of blank problem wheels (page 47) for families to customize, as well as some tips for use at home. Don’t forget to invite family feedback! We’ve included a sample letter you may adapt to fit your own needs on page 10.

‱

You might even ask parents to volunteer to make Math Wheels

at home. Working parents who find it almost impossible to vol-unteer during the school day may welcome this chance to help out—and children will beam with pride when characters created in their homes are used in class.

3 + 4 7

Plus ate 4

treats. I

gave him 7

more. How

many did

he eat

altogether?

Turn-to-Learn: Math Learning Wheels © Jacquelyn Johnson Howes, Scholastic Teaching Resources 3 + 4 7

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Dear Families,

It’s your child’s turn to bring

home one of our Math Wheels!

In class we use these

Math Wheels to help

strengthen and reinforce

the math facts we have

learned. Your child can

show you how these

wheels work. Try holding

and turning the wheel as

your child answers the

problems featured there. Then, work with your

child to make up some new problems of your

own using the blank wheel included here. Let

your child lead the way and you should have a

great time practicing math facts together.

Thank you for your participation.

Turn-to-Learn: Math Learning Wheels © Jacquelyn Johnson Howes, Scholastic Teaching Resources 3 + 4

7

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The

Wheels

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Counting Bear

Here’s a bear you can count on to strengthen counting skills

again and again!

Ask students to turn their wheels so that the lowest number appears in the window. Invite children to add numbers (Add 2; add 3; add 1, etc. . . ) totaling any number up to 10. Children should turn their wheels to keep a running count. When the series of directions is complete, check to see if each child has arrived at the same number.

EXTENDING THE LEARNING

2

2

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C O U N T I N G B E A R

P a t t e r n

Cut out Cut out

x

x

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C O U N T I N G B E A R

P r o b l e m W h e e l

4

8

3

7

5

2

4

3

x

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Two-ie the Toucan

You bet your beak this bird will double your skip counting fun!

You might want to give Two-ie a whole new look by pasting on

colorful feathers.

2

4

6

8

8

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Cut out Cut out

x

T W O - I E T H E T O U C A N

P a t t e r n

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2

4

6

3388

16

18

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88

22

32

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36

8 888

76

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2 2

1 100

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P r o b l e m W h e e l

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Plus the Cat

This kitty cat provides the purrfect way to learn addition family

facts!

Invite students to create a collection of cat things. Ask how many students have cats at home. Then brainstorm a list of things their cats love to do, play with, or eat that Plus might like too. Once your list is complete, have students create these items using paper, clay, yarn or whatever supplies you have available. Then, encourage students to use these handmade manipulatives to help them solve problems on Plus’s addition wheels.

EXTENDING THE LEARNING

3 + 4

7

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x

Cut out

P L U S T H E C AT

P a t t e r n

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P r o b l e m W h e e l s

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P L U S T H E C AT

P r o b l e m W h e e l s

Turn-to-Learn: Math Learning Wheels © Jacquelyn Johnson Howes, Scholastic Teaching Resources

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Minus the Dog

Take this subtraction pooch for a walk and your students’ math

skills will really add up!

Invite students to write stories describing how minus the take-away dog got his name.

EXTENDING THE LEARNING

3 1 –

2

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Cut out

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M I N U S T H E D O G

P a t t e r n

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P r o b l e m W h e e l s

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Penny the Pig

Penny is a priceless addition to any money unit.

After children have arrived at the correct sum for each answer, offer them an array of coins and challenge them to arrive at the same sum using as many different coin combinations as they can.

EXTENDING THE LEARNING

7¹ Turn-to-Learn: Math Learning Wheels © Jacquelyn Johnson Howes, Scholastic Teaching Resources

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Cut out

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P E N N Y T H E P I G

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P r o b l e m W h e e l s

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Hickory Dickory Clock

There’s no such thing as a bad time to learn how to tell time with

Hickory Dickory Clock.

5 5::0000 Turn-to-Learn: Math Learning Wheels © Jacquelyn Johnson Howes, Scholastic Teaching Resources

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Cut out Cut out

x

H I C K O RY D I C K O RY C L O C K

P a t t e r n

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5 M i n u t e I n t e r v a l s W h e e l

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George the Giraffe

Patterning skills won’t be such a stretch when George the Giraffe

comes to play.

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Cut out Cut out

x

G E O R G E T H E G I R A F F E

P a t t e r n

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x

G E O R G E T H E G I R A F F E

P a t t e r n & P r o b l e m W h e e l

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x

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6

Sam the Shape Clown

Identifying geometric shapes and operation symbols is simple

when Sam shows you how.

Have children look around the classroom to locate the shapes that appear in Sam’s shape window. Ask them to think of other places they see these shapes—on the street, in the store, or in their homes.

EXTENDING THE LEARNING

Note: Some students may find it easier to locate and count the shapes and symbols presented here if they are color-coded. While some students may choose to create their own codes, you can suggest they color the images in the following way: square–orange; triangle–green; hexa-gon–yellow; trapezoid–red; rhombus–blue; parallelogram–tan; circle–pink; rectangle–gray; plus–brown; minus–black; times–purple; equals–light blue.

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S A M T H E S H A P E C L O W N

P a t t e r n

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S A M T H E S H A P E C L O W N

P a t t e r n & P r o b l e m W h e e l

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Times the Dinosaur

Fun won’t become extinct when you use this friendly dino to

teach the times tables!

6 x 4

24

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x

Cut out Cut out

T I M E S T H E D I N O S A U R

P a t t e r n

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2 s & 5 s

3 s & 4 s

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P r o b l e m W h e e l s

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Piece-O-Pizza

You and your students can help yourselves to a tasty slice of

fractions!

Have a real pizza party. Order some pizzas to be delivered unsliced (or bake some of your own from scratch). Then, have children take turns cutting the pizza into halves, fourths, eighths, and sixteenths. Consider duplicating many copies of the Piece-0-Pizza Math Wheel for each student so that they can compile individual fraction books in which each page features a different frac-tional amount of pizza.

EXTENDING THE LEARNING

1

1

–

–

8

8

Turn-to-Learn: Math Learning Wheels © Jacquelyn Johnson Howes, Scholastic Teaching Resources

(44)

Cut out Cut out

x

P I E C E - 0 - P I Z Z A

P a t t e r n

Turn-to-Learn: Math Learning Wheels © Jacquelyn Johnson Howes, Scholastic Teaching Resources

(45)

1

1

––

11

22

11

––

22

1 1––

4 4

1 1

– –

4 4

3 3

– –

4 4

11 –– 88

33––

88

x

P I E C E - 0 - P I Z Z A

P r o b l e m W h e e l

F r a c t i o n R e m a i n i n g

Turn-to-Learn: Math Learning Wheels © Jacquelyn Johnson Howes, Scholastic Teaching Resources

(46)

1

1

––

11

22

11

––

22

3 3––

4 4

3 3

– –

4 4

1 1

– –

4 4

77 –– 88

55

––

88

x

P I E C E - 0 - P I Z Z A

P r o b l e m W h e e l

F r a c t i o n M i s s i n g

Turn-to-Learn: Math Learning Wheels © Jacquelyn Johnson Howes, Scholastic Teaching Resources

(47)

x

x

B L A N K W H E E L S

Turn-to-Learn: Math Learning Wheels © Jacquelyn Johnson Howes, Scholastic Teaching Resources

(48)

N O T E S

Turn-to-Learn: Math Learning Wheels © Jacquelyn Johnson Howes, Scholastic Teaching Resources

References

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