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Everything You Need to Know About Kim's Number Line

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<strong>Everything</strong> <strong>You</strong> <strong>Need</strong> <strong>to</strong> <strong>Know</strong><br />

<strong>About</strong> Kim’s <strong>Number</strong> <strong>Line</strong><br />

presented<br />

by<br />

Kim Sut<strong>to</strong>n<br />

Creative Mathematics<br />

4001 West End Road<br />

Arcata, CA 95521<br />

1-800-841-5193<br />

www.creativemathematics.com<br />

1<br />

© 2009 Kim Sut<strong>to</strong>n


General Math Tools<br />

• Response Board<br />

• Chalk and Eraser<br />

• Magic Finger of Mathematics<br />

• Pattern Blocks (Ellison)<br />

Language Tools<br />

• Math Dictionary (Making Math<br />

Books with Children)<br />

• Word Wallet<br />

Time Tools<br />

• Analog Clock<br />

• Digital Clock<br />

<strong>Number</strong> and Algebra Tools<br />

• <strong>Number</strong> <strong>Line</strong> Petite<br />

(<strong>Number</strong> <strong>Line</strong> Workbook)<br />

• Place Value Pocket<br />

+ ___ sets of digit cards<br />

(Place Value with Pizzaz)<br />

• Base Ten Blocks<br />

(5 mesh plastic canvas)<br />

• Operational Dominoes<br />

• My Basic Facts Booklet<br />

(Free PDF Files)<br />

• My T-Table Booklet<br />

(<strong>Number</strong> <strong>Line</strong> Workbook)<br />

• My Multiples Booklet<br />

(<strong>Number</strong> <strong>Line</strong> Workbook)<br />

• Hundreds Chart 0-99 (cards<strong>to</strong>ck)<br />

• Transparent Chips + Container<br />

• Dynamic Dice<br />

• Fraction Flip Book<br />

• Pattern Stick Book on ring<br />

(<strong>Number</strong> <strong>Line</strong> Workbook)<br />

• Place Value Odometer<br />

(Place Value with Pizzazz)<br />

Tool Kit<br />

2<br />

• Playing Cards<br />

Geometry & Measurement Tools<br />

• Circle Sizer<br />

• Tangrams<br />

• Angle Maker<br />

• Shape Maker<br />

• Mirrors (3)<br />

• Pattern Blocks<br />

• Circle Protrac<strong>to</strong>r<br />

• Tape Measure<br />

Data Tools<br />

• Spinner faces<br />

• Paper Clips (spinners)<br />

• Coffee Filters<br />

• My Graph Book<br />

(Making Math Books<br />

with Children)<br />

Kim’s Helpful Hints<br />

I have used the concept of a math <strong>to</strong>ol kit in my classroom<br />

for many years. Each student has a math <strong>to</strong>ol<br />

kit filled with the physical <strong>to</strong>ols it takes <strong>to</strong> solve mathematical<br />

problems.<br />

The students will s<strong>to</strong>re these items in a gallon size ziplock<br />

baggie. To avoid disorganization within the students’<br />

desks, press a strip of magnetic adhesive on<br />

outside of baggie. If the inside of the desks are metal,<br />

students can stick their math <strong>to</strong>ol kit on the desks so<br />

that part of the <strong>to</strong>ol kit is always visible. Some teachers<br />

prefer <strong>to</strong> have the math <strong>to</strong>ol kits hanging on the<br />

outside of the desks.<br />

<strong>You</strong>nger students can embrace the concept of a math<br />

<strong>to</strong>ol kit with smaller bags and fewer objects. The <strong>to</strong>ols<br />

may also be s<strong>to</strong>red at a table, in a basket, or on a pegboard.<br />

The intent of the math <strong>to</strong>ol kits is <strong>to</strong> give students<br />

experience with the physical <strong>to</strong>ols that<br />

accompany problem solving situations in mathematics.<br />

© 2009 Kim Sut<strong>to</strong>n<br />

+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷


+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷<br />

3<br />

© 2009 Kim Sut<strong>to</strong>n<br />

Notes<br />

____________________________________________________<br />

_______________________________________________<br />

__________________________________________________<br />

___________________________________________________<br />

_____________________________________________________<br />

__________________________________________________________________________<br />

__________________________________________________________________________<br />

__________________________________________________________________________<br />

__________________________________________________________________________<br />

__________________________________________________________________________<br />

__________________________________________________________________________<br />

__________________________________________________________________________<br />

__________________________________________________________________________


Let’s Count <strong>to</strong> 30<br />

Ron Brown<br />

Math Math Math<br />

Thirty, 30, let’s count <strong>to</strong> 30.<br />

Thirty, 30, let’s count <strong>to</strong> 30.<br />

1 2 3 4 5 6 7<br />

8 9 10 11 12<br />

13 14 15<br />

We’re half way home <strong>to</strong> 30.<br />

16 17 18 19<br />

20 21 22<br />

23 24 25 26<br />

27 28 29 30<br />

Thirty, 30, let’s count <strong>to</strong> 30.<br />

4<br />

Thirty, 30!<br />

© 2009 Kim Sut<strong>to</strong>n<br />

+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷


+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷<br />

5<br />

© 2009 Kim Sut<strong>to</strong>n<br />

Let’s Count by Fives!<br />

If you want <strong>to</strong> have some<br />

fun<br />

Sing along with me<br />

Come on let’s count by<br />

fives.<br />

If you want <strong>to</strong> have some<br />

fun<br />

And be as happy as can<br />

be<br />

Sing along and count by<br />

fives.<br />

Ron Brown<br />

Math Concepts I and II<br />

5 10 15 20<br />

25 30 35 40<br />

45 50 55 60<br />

65 70 75 80<br />

85 90 95 100<br />

(If you want <strong>to</strong> have<br />

some fun<br />

Sing along with me<br />

<strong>You</strong> can count by fives!)


10’s Lift Off!<br />

Ron Brown<br />

Math Concepts I and II<br />

Command Center <strong>to</strong> launch<br />

We have lift off at 100.<br />

10 20 30 40 50<br />

60 70 80 90 100<br />

Lift off!<br />

Hous<strong>to</strong>n, we have a slight<br />

problem.<br />

We forgot our <strong>to</strong>othbrushes.<br />

100 90 80 70 60<br />

50 40 30 20 10<br />

0<br />

Lift off at 100.<br />

10 20 30 40 50<br />

60 70 80 90 100<br />

6<br />

© 2009 Kim Sut<strong>to</strong>n<br />

+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷


+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷<br />

7<br />

© 2009 Kim Sut<strong>to</strong>n<br />

We’re Counting by Two<br />

We’re counting by two, two, two,<br />

How about you, you, you?<br />

And you can count <strong>to</strong>o, <strong>to</strong>o, <strong>to</strong>o,<br />

The even numbers through<br />

and through.<br />

Oh, two, two, two,<br />

How about you, you, you?<br />

And you can count <strong>to</strong>o, <strong>to</strong>o, <strong>to</strong>o,<br />

The even numbers through<br />

and through.<br />

2 4 6 8 10<br />

12 14 16<br />

18 20 We’re counting by<br />

twos!<br />

22 24 26 28 and<br />

30<br />

Ron Brown<br />

Math Concepts I and II<br />

We’re counting by twos!<br />

We’re counting by twos!<br />

32 34 36 38 and<br />

40<br />

We’re counting by twos!<br />

We’re counting by twos!<br />

42 44 46 48 and<br />

50<br />

We’re counting by twos!<br />

We’re counting by twos!<br />

We’re counting by two, two, two,<br />

How about you, you, you?<br />

And you can count <strong>to</strong>o, <strong>to</strong>o, <strong>to</strong>o,<br />

The even numbers through<br />

and through.<br />

Let’s count by two!


<strong>Number</strong> <strong>Line</strong> Petite <strong>to</strong> 30<br />

8<br />

© 2009 Kim Sut<strong>to</strong>n<br />

+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷


+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷<br />

9<br />

© 2009 Kim Sut<strong>to</strong>n


Basic<br />

<strong>Number</strong> Properties<br />

Checklist<br />

My number is ____________<br />

? even<br />

? odd<br />

? multiple of 2<br />

? multiple of 5<br />

? multiple of 10<br />

? single digit<br />

? two digits<br />

? three digits<br />

? (less than) _____<br />

? (greater than) _____<br />

digital root _________<br />

My number is between<br />

_______ and _______ .<br />

Closer <strong>to</strong> _______ .<br />

10<br />

Challenge<br />

<strong>Number</strong> Properties<br />

Checklist<br />

My number is ____________<br />

? even<br />

? odd<br />

? 2 as a fac<strong>to</strong>r<br />

? 3 as a fac<strong>to</strong>r<br />

? 4 as a fac<strong>to</strong>r<br />

? 5 as a fac<strong>to</strong>r<br />

? 6 as a fac<strong>to</strong>r<br />

? 7 as a fac<strong>to</strong>r<br />

? 8 as a fac<strong>to</strong>r<br />

? 9 as a fac<strong>to</strong>r<br />

? 10 as a fac<strong>to</strong>r<br />

? 11 as a fac<strong>to</strong>r<br />

? 12 as a fac<strong>to</strong>r<br />

? prime number<br />

? composite number<br />

digital root _________<br />

My number is between<br />

_______ and ________ .<br />

Closer <strong>to</strong> _______ .<br />

© 2009 Kim Sut<strong>to</strong>n<br />

+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷


+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷<br />

11<br />

© 2009 Kim Sut<strong>to</strong>n<br />

<strong>Number</strong> I<br />

Rolled<br />

Rounding by Rolling<br />

Closer <strong>to</strong><br />

1. _________ _________ or _________<br />

2. _________ _________ or _________<br />

3. _________ _________ or _________<br />

4. _________ _________ or _________<br />

5. _________ _________ or _________<br />

6. _________ _________ or _________<br />

7. _________ _________ or _________<br />

8. _________ _________ or _________<br />

9. _________ _________ or _________<br />

10._________ _________ or _________


Math Tools:<br />

• Kim’s <strong>Number</strong> <strong>Line</strong><br />

with colored dots<br />

• <strong>Number</strong> <strong>Line</strong> Petite<br />

• pattern stick books<br />

• “magic finger of math”<br />

• transparent chips<br />

• double dice<br />

• pointer(s) for number line<br />

Mathematical Vocabulary<br />

multiples<br />

fac<strong>to</strong>r<br />

product<br />

skip counting<br />

growth pattern<br />

Math Literature<br />

Cat Up a Tree<br />

by John and Ann Hassett<br />

(multiples of 5)<br />

Arctic Fives Arrive<br />

by Elinor Pinczes<br />

(multiples of 5)<br />

A High Fiving Gift for Mom<br />

by Judy Bradbury<br />

(multiples of 5)<br />

Reese’s pieces Count by Fives<br />

by Jerry Pallotta<br />

(multiples of 5)<br />

The Cheerio Counting Book<br />

by Barbara McGrath<br />

(multiples of 10)<br />

Double Bubble Trouble<br />

by Judy Bradbury<br />

(multiples of 2)<br />

Building the Power of Groups<br />

The first growth pattern that children meet is<br />

counting numbers. A class number line is the most<br />

important visual as a classroom <strong>to</strong>ol. Early learners<br />

will work with counting forward and backward with<br />

counting songs and activities. Some of Ron Brown’s<br />

counting songs include:<br />

• Do <strong>You</strong> Like <strong>to</strong> Count?<br />

(Math Concepts I & II)<br />

• Let’s Count <strong>to</strong> 30 (Math, Math, Math)<br />

• The Counting Creatures<br />

(The Learning Ride)<br />

To introduce the idea of multiples the teacher will<br />

use objects that come in a constant of count <strong>to</strong> create<br />

a picture in the mind’s eye. To introduce multiples<br />

of two, I recommend playing the game called<br />

“The Stand Up Game.” One student stands up. The<br />

teacher directs the activity by asking, “How many<br />

students are standing?” The relationship between<br />

the number of students standing <strong>to</strong> the number of<br />

eyes is made through the meaning of multiplication<br />

in groups.<br />

As the game is played the teacher will add a red dot<br />

above the multiples of two. Students will add a red<br />

dot above the multiples of two on the <strong>Number</strong> <strong>Line</strong><br />

Petite (<strong>Number</strong> <strong>Line</strong> Workbook). Students can<br />

also fill in the pattern stick for twos.<br />

Introduce Cat Up a Tree by John and Ann Hassett<br />

<strong>to</strong> introduce counting in groups of or skip counting<br />

with the students. Students should build a five stick<br />

as the s<strong>to</strong>ry is being read. Yellow dots will be added<br />

for multiples of five on Kim’s <strong>Number</strong> <strong>Line</strong>. Other<br />

books can introduce other skip counting patterns.<br />

12<br />

© 2009 Kim Sut<strong>to</strong>n<br />

+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷


+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

Students should construct the pattern stick books for the skip counting patterns.<br />

Kindergarten and first graders should have 1, 2, 5, and 10 sticks. Second graders<br />

should have 1, 2, 3, 5, and 10 sticks. Students in third through sixth grades should<br />

have 1-12 sticks.<br />

The pattern sticks will help imprint the multiples through choral chanting. This is<br />

an audi<strong>to</strong>ry form of skip counting. The teacher will model directing the group<br />

through the skip counting of one multiple. The students will <strong>to</strong>uch the pattern stick<br />

with the “magic finger of mathematics” as they say and see the patterns of skip<br />

counting.<br />

A color-coded number line can be used as a larger visual <strong>to</strong>ol for the classroom. This<br />

extends the skip counting. For primary students, the number line would start at<br />

zero and go <strong>to</strong> one hundred. For older students, the number line would start at zero<br />

and go <strong>to</strong> one hundred forty four. The number line is color-coded so that all of the<br />

multiples of two would have the same colored dot above them. Each different multiple<br />

would have a different colored dot above it. The color patterns are:<br />

+ − × ÷ + − × − × ÷ + − × ÷<br />

13<br />

© 2009 Kim Sut<strong>to</strong>n<br />

2---red 7---neon orange<br />

3---green 8---neon green<br />

4---orange 9---black<br />

5---yellow 10---navy blue<br />

6---light blue 11---purple<br />

12---gold star<br />

The “Pattern Stick Game” is a simple game <strong>to</strong> play for the “over and over” practice with<br />

the meaning of multiplication and decisionmaking regarding addition and the diffference<br />

between.<br />

Each player needs a designated pattern stick (2-12), double dice, transparent chips<br />

and a partner. Players will take turns. The first player will roll the double dice. The<br />

player can deside <strong>to</strong> add or compute the difference between the numbers on the two<br />

dice. That answer is inserted in<strong>to</strong> the meaning statement for multiplication, “_____<br />

groups of _____ = _____ .” The player must state that complete equation. The product<br />

will be covered up. The objective is <strong>to</strong> be the first <strong>to</strong> cover the complete stick.<br />

Let’s say the teacher wants play <strong>to</strong> take place on the “two stick.” For example, a player<br />

might roll a three and a four. Those two numbers can be added or the difference between<br />

can be computed. If the three and four are added, the player would say, “Seven groups of<br />

two equal fourteen.” The fourteen would be covered. If the fourteen is covered, the player<br />

would say, “The difference between three and four is one, one group of two is two.” This<br />

game should be played often.


Velcro for Kim’s <strong>Number</strong> <strong>Line</strong><br />

Positive <strong>Number</strong> <strong>Line</strong><br />

72 for 2s<br />

38 for 3s<br />

36 for 4s<br />

29 for 5s<br />

24 for 6s<br />

21 for 7s<br />

Total Velcro Coins if color-coding through 12s is 295.<br />

(I did round up <strong>to</strong> allow for mistakes!)<br />

Remember that primary (K-1 does 2s, 5s, 10s and 2nd<br />

does 2s, 3s, 5s, 10s)<br />

Negative <strong>Number</strong> <strong>Line</strong><br />

25 for 2s<br />

17 for 3s<br />

13 for 4s<br />

10 for 5s<br />

9 for 6s<br />

8 for 7s<br />

18 for 8s<br />

16 for 9s<br />

15 for 10s<br />

14 for 11s<br />

12 for 12s<br />

7 for 8s<br />

6 for 9s<br />

5 for 10s<br />

5 for 11s<br />

4 for 12s<br />

Total Velcro Coins if color-coding through 12s is 109.<br />

(I did round up <strong>to</strong> allow for mistakes!)<br />

14<br />

© 2009 Kim Sut<strong>to</strong>n<br />

+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷


+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

Pattern Sticks<br />

+ − × ÷ + − × − × ÷ + − × ÷<br />

15<br />

© 2009 Kim Sut<strong>to</strong>n


Walk The <strong>Line</strong><br />

16<br />

© 2009 Kim Sut<strong>to</strong>n<br />

+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷


+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷<br />

17<br />

© 2009 Kim Sut<strong>to</strong>n<br />

Walk The <strong>Line</strong>


Pattern Block Fractions<br />

18<br />

© 2009 Kim Sut<strong>to</strong>n<br />

+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷


+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

Name Date<br />

+ − × ÷ + − × − × ÷ + − × ÷<br />

19<br />

© 2009 Kim Sut<strong>to</strong>n<br />

= =<br />

= =<br />

= =


Count by Threes<br />

Ron Brown<br />

Math Concepts I and II<br />

Let’s count by threes.<br />

Let’s count by threes.<br />

Let’s count by threes.<br />

It’s as easy as it can be.<br />

3 6 9 12<br />

15 18 21<br />

24 27 30<br />

Counting by threes is so<br />

much fun!<br />

3 6 9 12<br />

15 18 21<br />

24 27 30<br />

Counting by threes is so<br />

much fun!<br />

Let’s count by threes.<br />

20<br />

© 2009 Kim Sut<strong>to</strong>n<br />

+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷


Math Tools:<br />

• gameboard<br />

• marker for each player<br />

• spinner with paper clip<br />

• scorecard<br />

• Kim’s Color-Coded<br />

<strong>Number</strong> <strong>Line</strong><br />

• The Lazy Way of<br />

Determining Fac<strong>to</strong>rs Tool<br />

Mathematical Intent:<br />

This game will reinforce<br />

properties of numbers<br />

using multiples. Students<br />

should work at the appropriate<br />

level for their understanding.<br />

Level 1 is<br />

practice for multiples of<br />

two, five, ten. Level 2 is<br />

practice for two, three,<br />

five, and ten. Level 3 is<br />

practice for 2-12.<br />

Mathematical Vocabulary:<br />

skip counting<br />

multiples of<br />

fac<strong>to</strong>rs<br />

products<br />

The Game of <strong>Number</strong> Trails<br />

<strong>Number</strong> Trails is a game for practice of the properties<br />

of numbers using multiples or fac<strong>to</strong>rs.<br />

There are three levels of the game. The Primary<br />

set of gameboards are designed for practice of the<br />

multiples of twos, fives, and tens. The Intermediate<br />

set of gameboards are designed for practice<br />

of the fac<strong>to</strong>rs of two, three, five, and ten. The<br />

Upper set of gameboards are designed for practice<br />

of the fac<strong>to</strong>rs 2-12.<br />

Each player will need a scorecard and a spinner<br />

with a paper clip. Two <strong>to</strong> four players can play on<br />

one gameboard or each player can play on a<br />

gameboard. (Many students like having a cute<br />

gameboard of their own.) Each partner would<br />

need their own distinctive marker. The spinner<br />

will determine the number of spaces moved for<br />

that turn. Order of play is <strong>to</strong> be determined. Each<br />

player will spin and move that many spaces. An<br />

assessment of the number is made for all the multiples.<br />

Tally marks are made next <strong>to</strong> each appropriate<br />

multiple. For example, if a player is<br />

playing on a Primary gameboard and lands on<br />

“42” then that player would make a tally<br />

next <strong>to</strong> the two on the scorecard. At the<br />

end of the game, students are <strong>to</strong> <strong>to</strong>tal<br />

the scores. Points can be given for<br />

each different multiple. For example,<br />

multiples of two are<br />

worth two points, multiples of<br />

five are five points, etc. This<br />

adds a multiplication element<br />

<strong>to</strong> the game.<br />

21<br />

The <strong>Number</strong> Trail Scoring<br />

Tool can be used for the<br />

analysis of each number on<br />

the trail. The Primary version<br />

is used <strong>to</strong> determine or<br />

© 2009 Kim Sut<strong>to</strong>n


eliminate multiples of two, five, and ten. The Intermediate version will determine<br />

or eliminate fac<strong>to</strong>rs of two, three, five, and ten. The Upper version<br />

will determine or eliminate fac<strong>to</strong>rs of 2-12. Notice the language of “multiple”<br />

changes <strong>to</strong> “fac<strong>to</strong>r” when multiplication is introduced.<br />

This game is practicing fac<strong>to</strong>r analysis. It can be played at every grade level.<br />

The numbers in the board determine the difficulty. The scorecard would be<br />

selected based on the grade level. The class color-coded number line can be<br />

used <strong>to</strong> determine the multiples or fac<strong>to</strong>rs of a number. Included is the “The<br />

Lazy Way of Determining Fac<strong>to</strong>rs” <strong>to</strong>ol for upper grades.<br />

This <strong>to</strong>ol is a student “cheat sheet” for determining fac<strong>to</strong>rs. Run this off on<br />

colored cards<strong>to</strong>ck for each student and use with the Upper version of the<br />

game. The more students work with this <strong>to</strong>ol the more familiar they will<br />

become with the patterns of fac<strong>to</strong>rs!<br />

The Lazy Way of Determining Fac<strong>to</strong>rs<br />

Fac<strong>to</strong>rs<br />

2 <strong>Number</strong> has 0, 2, 4, 6, 8 in the<br />

one’s place (even numbers)<br />

3 <strong>Number</strong> has digital root of 3, 6, or 9<br />

4 Ten’s and one’s make a number<br />

divisible by 4<br />

(<strong>Number</strong> within a number)<br />

5 <strong>Number</strong> has 5 or 0 in the one’s place<br />

6 <strong>Number</strong> is even and has digital root<br />

of 3, 6, or 9<br />

7 No lazy way!<br />

8 Hundred’s, ten’s and one’s make a<br />

number divisible by 8<br />

(<strong>Number</strong> within a number)<br />

9 <strong>Number</strong> has digital root of 9<br />

10 <strong>Number</strong> has 0 in the one’s place<br />

© 2009 Kim Sut<strong>to</strong>n<br />

22<br />

The Lazy Way of Determining Fac<strong>to</strong>rs<br />

Fac<strong>to</strong>rs<br />

2 <strong>Number</strong> has 0, 2, 4, 6, 8 in the<br />

one’s place (even numbers)<br />

3 <strong>Number</strong> has digital root of 3, 6, or 9<br />

4 Ten’s and one’s make a number<br />

divisible by 4<br />

(<strong>Number</strong> within a number)<br />

5 <strong>Number</strong> has 5 or 0 in the one’s place<br />

6 <strong>Number</strong> is even and has digital root<br />

of 3, 6, or 9<br />

7 No lazy way!<br />

8 Hundred’s, ten’s and one’s make a<br />

number divisible by 8<br />

(<strong>Number</strong> within a number)<br />

9 <strong>Number</strong> has digital root of 9<br />

10 <strong>Number</strong> has 0 in the one’s place


91<br />

34<br />

66<br />

85<br />

55<br />

35<br />

30<br />

25<br />

68<br />

96<br />

86<br />

16<br />

82<br />

62<br />

20<br />

23<br />

60<br />

54<br />

75<br />

80<br />

38<br />

65<br />

75<br />

77<br />

69<br />

84<br />

93<br />

15<br />

84<br />

57<br />

41<br />

© 2009 Kim Sut<strong>to</strong>n


2<br />

3<br />

5<br />

10<br />

score<br />

2<br />

3<br />

5<br />

10<br />

score<br />

Name:<br />

Name:<br />

© 2009 Kim Sut<strong>to</strong>n<br />

Score Card<br />

Score Card<br />

24<br />

2<br />

3<br />

5<br />

10<br />

score<br />

2<br />

3<br />

5<br />

10<br />

score<br />

Name:<br />

Name:<br />

Score Card<br />

Score Card


?<br />

<strong>Number</strong> Trail Spinner<br />

Space Mover<br />

<strong>Number</strong> Trail Spinner<br />

Space Mover<br />

25<br />

Hold paper<br />

clip at center<br />

of spinner<br />

with pencil<br />

point.<br />

Hold paper<br />

clip at center<br />

of spinner<br />

with pencil<br />

point.<br />

© 2009 Kim Sut<strong>to</strong>n


Fac<strong>to</strong>r Cross Out<br />

Name Date<br />

26<br />

Fac<strong>to</strong>rs<br />

2 3 4 5 6 7<br />

8 9 10 11 12<br />

2 3 4 5 6 7<br />

8 9 10 11 12<br />

2 3 4 5 6 7<br />

8 9 10 11 12<br />

2 3 4 5 6 7<br />

8 9 10 11 12<br />

2 3 4 5 6 7<br />

8 9 10 11 12<br />

2 3 4 5 6 7<br />

8 9 10 11 12<br />

2 3 4 5 6 7<br />

8 9 10 11 12<br />

2 3 4 5 6 7<br />

8 9 10 11 12<br />

2 3 4 5 6 7<br />

8 9 10 11 12<br />

2 3 4 5 6 7<br />

8 9 10 11 12<br />

Score<br />

© 2009 Kim Sut<strong>to</strong>n<br />

+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷


+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷<br />

27<br />

© 2009 Kim Sut<strong>to</strong>n


Skip Counting<br />

<strong>Number</strong> <strong>Line</strong> Literature<br />

Cris<strong>to</strong>ldi, Kathryn. Even Steven and Odd Todd. Scholastic, 1996.<br />

Franco, Betsy. Mathematickles! McElderry Books, 2003.<br />

Holub, Joan. Riddle-iculous. Alber Whitman and Co., 2003.<br />

Hong, Lily Toy. Two of <strong>Everything</strong>. Albert Whitman, 2003. (doubles, groups of)<br />

Hopkins, Lee Bennett. Marvelous Math. Simon & Schuster, 1997. (poetry)<br />

Kroll, Virginia. Equal Shmequal. Charlesbridge, 2005. (equivalent relationships)<br />

Lee, Cora and O’Reilly, Gillian. The Great <strong>Number</strong> Rumble. Annick Press, 2007.<br />

Lewis, J. Patrick. Arithmetickle. Harcourt, 2002.<br />

Losi, Carol. The 512 Ants on Sullivan Street. Scholastic, 1997.<br />

Murphy, Stuart. Earth Day Hooray! Harper Trophy, 2004. (place value)<br />

Murphy, Stuart. More or Less. Harper Trophy, 2005. (comparing numbers)<br />

Neuschwander, Cindy. Patterns in Peru. Henry Holt, 2007.<br />

Phillips, Richard. <strong>Number</strong>s-facts, figures and fiction. Cambridge, 1994.<br />

Wal<strong>to</strong>n, Rick. How Many , How Many, How Many. Candlewick Press, 1993.<br />

Skip Counting<br />

Hassett, John and Ann. Cat Up A Tree. Hough<strong>to</strong>n Mifflin Co., 1998. (fives)<br />

McGrath, Barbara. The Cheerios Counting Book. Scholastic, 1998. (tens)<br />

McGrath, Barbara. The m & m Count <strong>to</strong> One Hundred Book. Charlesbridge, 2003.<br />

Murphy, Stuart J. Leaping Lizards. Harper Trophy, 2005. (groups of)<br />

Murphy, Stuart. Spunky Monkeys on Parade. Harper Trophy, 2001. (2s, 3s, and 4s)<br />

Murphy, Stuart. Tally O’Malley. Harper Trophy, 2005.<br />

Pinczes, Elinor. Arctic Fives Arrive. Hough<strong>to</strong>n Mifflin, Co., 1996. (fives)<br />

Fractions, Decimals, Per Cents<br />

Adler, David A. Working with Fractions. Holiday House, 2007.<br />

28<br />

© 2009 Kim Sut<strong>to</strong>n<br />

+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷


+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

Dodds, Dayle Ann. Full House. Candlewick Press, 2007.<br />

Leedy, Loreen. Fraction Action. Holiday House, 1994.<br />

McGrath, Barbara. Skittles Riddles Math. Charlesbridge, 2000.<br />

Murphy, Stuart. Give Me Half! Harper Trophy, 2001. (understanding halves)<br />

Murphy, Stuart. The Grizzly Gazette. Harper Trophy, 2003. (percentages)<br />

Nagda, Ann Whitehead and Bickel, Cindy. Polar Bear Math. Henry Holt, 200.<br />

Napoli, Donna Jo. The Wishing Club. Henry Holt, 2007.<br />

Pallotta, Jerry. The Hershey’s Milk Chocolate Fractions Book. Scholastic, 1999.<br />

Pallotta, Jerry. Apple Fraction Book. Scholastic, 2005.<br />

Pallotta, Jerry. Twizzler Percentages Book. Scholastic, 2001.<br />

Pilegard, Virginia Wal<strong>to</strong>n. The Warlord’s Puppeteers. Pelican Press, 2003.<br />

Smith, David J. If the World Were a Village. Kids Can Press, 2002.<br />

Multiplication and Division<br />

Appelt, Kathi. Bats on Parade. Morrow, 1999. (multiplication)<br />

Calvert, Pam. Multiplying Menace-The Revenge of Rumpelstiltskin. Charlesbridge, 2005.<br />

Dodds, Dayle Ann. Minnie’s Diner. Candlewick Press, 2004. (multiplication)<br />

Hutchins, Pat. The Doorbell Rang. Mulberry, 1986. (division)<br />

Leedy, Loreen. 2 x 2 = BOO! Holiday House, 1995. (multiplication)<br />

Nagda, Ann Whitehead. Cheetah Math. Henry Holt, 2007.<br />

Neuschwander, Cindy. Amanda Bean's Amazing Dream. Scholastic Press, 1998.<br />

Pallotta, Jerry. The Hershey’s Milk Chocolate Multiplication. Scholastic, 2002.<br />

Pinczes, Elinor. A Remainder of One. Hough<strong>to</strong>n Mifflin Co., 1995. (division)<br />

Tang, Greg. The Best of Times. Scholastic Press, 2002.<br />

.<br />

+ − × ÷ + − × − × ÷ + − × ÷<br />

29<br />

© 2009 Kim Sut<strong>to</strong>n


Creative Mathematics<br />

4001 West End Road<br />

Arcata, CA 95521<br />

800-841-5193<br />

707-826-1780 Fax<br />

www.creativemathematics.com<br />

Aims Educational Foundation<br />

P.O. Box 8120<br />

Fresno, CA 93747<br />

888-733-2467 • Fax 209-255-6396<br />

e-mail / www.aimsedu.org<br />

Box Cars and One-Eyed Jacks<br />

3930 78th Ave<br />

Edmon<strong>to</strong>n, Albert Canada T6B 2W4<br />

www.boxcarsandoneeyedjacks.com<br />

Creative Teaching Associates<br />

5629 E. Wes<strong>to</strong>ver<br />

Fresno, CA 93727<br />

800-767-4282 • Fax 559-291-2953<br />

www.mastercta.com<br />

Critical Thinking Books and Software<br />

P.O. Box 1610<br />

Seaside. CA 93955-1610<br />

800-641-6555 • Fax 831-393-3277<br />

www.criticalthinking.com<br />

Classroom Direct<br />

P.O. Box 830677<br />

Birmingham, AL 35283-0677<br />

800-248-9171 • Fax 800-628-6250<br />

www.classroomdirect.com<br />

Collins Educational<br />

8358 St. George Street<br />

Vancouver, BC V5X 3S7 Canada<br />

604-325-5005 • Fax 604-325-5003<br />

Catalogs and Resources<br />

<strong>Kim's</strong> supplies like<br />

Teach Timer, number lines,<br />

music CDs, aerobic place value,<br />

magic fingers, her books, and<br />

lots more<br />

California State Department of Education<br />

1430 N. Street<br />

Sacramen<strong>to</strong>, CA 95814<br />

916-319-0800<br />

www.cde.ca.gov<br />

California Mathematics Council (CMC)<br />

P.O. Box 880<br />

Clay<strong>to</strong>n, CA 94517-0880<br />

800-CMC-MATH • Fax 510-680-8573<br />

www.cmc-math.org.<br />

Project AIMS<br />

materials<br />

great dice & games<br />

great drill and<br />

practice games<br />

Darice<br />

13000 Darice Parkway<br />

Park 82<br />

Strongville, Ohio 44136-6699<br />

800-321-1494 • www.darice.com<br />

Ellis Art Center<br />

401 5 th Street<br />

Eureka, CA 95501<br />

707-445-9050<br />

Ellison Educational<br />

25862 Commercentre Dr.<br />

Lake Forest, CA 92630-8804<br />

800-253-2238<br />

www.ellison.com<br />

GW School Supply<br />

5626 East Belmont Avenue<br />

Fresno, CA 93727<br />

800-234-1065 • Fax 209-453-7753<br />

www.gwschool.com<br />

Aubuchon Hardware<br />

aubuchon.com<br />

800-431-2712<br />

Intelli Tunes<br />

12930 Peach Tree Lane<br />

Red Bluff, CA 96080<br />

877-977-0971 • Fax 530-529-0571*51<br />

www.intelli-tunes.com<br />

Institute for Math Mania<br />

159 Bloomfield Ave.<br />

West Hartford, CT 06105<br />

800-686-3725 • Fax 866-686-3725<br />

Koplow Games<br />

369 Congress Street<br />

Bos<strong>to</strong>n, MA 02210<br />

677-482-4011 • Fax 617-482-3423<br />

www.koplowgames.com<br />

Marcy Cook<br />

P.O. Box 5840<br />

Balboa Island, CA 92662-5840<br />

949-673-5912 • Fax 949-673-7909<br />

www.marcycookmath.com<br />

30<br />

5 mesh plastic canvas for<br />

place value on overhead<br />

mylar supplier for mirrors<br />

Black Contact Paper<br />

& Mylar<br />

die-cut company<br />

colored masking tape<br />

Ron Brown's music CDs<br />

dice supplier ,seasonal, unique, double<br />

dice, transparent chips<br />

wonderful materials & amazing presentations<br />

© 2009 Kim Sut<strong>to</strong>n<br />

+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷


+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

Math Learning Center<br />

P.O. Box 3226<br />

Salem, OR 97302<br />

800-575-8130 • Fax 503-370-7961<br />

www.mlc.pdx.edu<br />

National Geographic Society<br />

P.O. Box 10041<br />

Des Moines, Iowa 50340-0041<br />

800-962-1643 • Fax 888-242-0531<br />

www.nationalgeographic.com<br />

National Council of Teachers<br />

of Mathematics (NCTM)<br />

1906 Association Drive<br />

Res<strong>to</strong>n, Virginia 20191-1502<br />

800-235-7566 • www.nctm.org<br />

National Science Teachers Association (NTSA)<br />

1840 Wilson Blvd<br />

Arling<strong>to</strong>n, Virgina 22201-3000 USA<br />

800-722-6782 • Fax 703-243-3924<br />

www.nsta.org<br />

BOOK orders<br />

P.O. Box 90214, Washing<strong>to</strong>n, D.C. 2009<br />

Nasco<br />

P.O. Box 3837<br />

Modes<strong>to</strong>, CA 95352-3837<br />

800-558-9595 • Fax 209-545-1669<br />

www.nascofa.com<br />

Oriental Trading Company<br />

4206 South 108 th Street<br />

Omaha, NE 66137-1215<br />

800-526-9300 • URL: www.orientaltrading.com<br />

Business Edition<br />

P.O. Box 2659 • Omaha, NE 68103-2659<br />

800-526-9300 • Fax 800-741-2599<br />

+ − × ÷ + − × − × ÷ + − × ÷<br />

31<br />

© 2009 Kim Sut<strong>to</strong>n<br />

Scholastic Inc.<br />

2931 E. McCarty St.<br />

Jefferson City, MO 65101<br />

800-724-6527<br />

www.scholastic.com<br />

Spectrum Educational Supplies<br />

150 Pony Drive<br />

New Market, ON L3G 7B6 Canada<br />

800-668-0600 • Fax 800-668-0602<br />

www.spectrumed.com<br />

S<strong>to</strong>kes Publishing<br />

1292 Reamwood Avenue<br />

Sunnyvale, CA 94089<br />

800-550-5254 • Fax 408-541-9149<br />

www.s<strong>to</strong>kesco.com<br />

Teacher’s Pets<br />

1738 South Clementine St<br />

Oceanside, CA 92054<br />

888-552-9900 • Fax 760-439-4921<br />

www.zeroismyhero.com<br />

The Complete <strong>Line</strong><br />

2741 152nd Ave. NE<br />

Redmond, WA 98052-5586<br />

800-447-3444<br />

The Mailbox Magazine<br />

The Education Center, Inc.<br />

P.O. Box 9753 • Greensboro, NC 27429<br />

Phone: 1-800-334-0298<br />

www.themailbox.com<br />

For BOOKS 1-800-714-7991<br />

Pearson Learning Group<br />

P.O. Box 2500<br />

Million Poster<br />

Lebo- The Oregon Mathematics Teacher<br />

nan, IN 46052<br />

2344 NE 19th Ave.<br />

800-526-9907 • Fax 800-393-3156<br />

www.pearsonlearning.com<br />

Portland, Oregon 97212<br />

Quill Discount Office Supplies<br />

P.O. Box 94080<br />

Palatine, IL 60094-4080<br />

800-789-1331 • Fax 800-789-8955<br />

www.quill.com<br />

Reliable Products<br />

P.O. Box 1502<br />

Ottawa, IL 61350-5502<br />

800-927-0700 • Fax 800-653-4387<br />

clear, colored counters,<br />

pattern blocks, & lots more<br />

geography information<br />

great math materials<br />

inexpensive <strong>to</strong>ys, counters, guitars,<br />

oversized playing cards,<br />

& cheap Twizzlers<br />

poster s<strong>to</strong>rage cases<br />

US Toys<br />

13201 Arring<strong>to</strong>n Road<br />

Grandview, MO 64030-2886<br />

800-255-6124 • Fax 816-761-9295<br />

www.us<strong>to</strong>y.com<br />

Tex<strong>to</strong>l Systems, Inc.<br />

1-800-624-8746<br />

email: sales@tex<strong>to</strong>l.com<br />

www.tex<strong>to</strong>l.com/tex<strong>to</strong>l.asp<br />

wallliner.com Mylar<br />

Cheap Velcro<br />

TeachTimer and other<br />

great <strong>to</strong>ols<br />

wonderful teacher<br />

jewelry like "Zero the<br />

Hero"<br />

Copy-Not Pens


“I Walk the <strong>Line</strong>”<br />

Johnny Cash<br />

Rewritten Several Wonderful Classes<br />

I keep a close watch on this number line<br />

I keep my eyes wide open all the time.<br />

I notice all the dots – they are a sign.<br />

The turn is mine, I’ll walk the line.<br />

I find math very, very easy <strong>to</strong> be true.<br />

I find myself with facts when days are through.<br />

Yes, I’ll admit the digital root for you.<br />

The turn is mine, I’ll walk the line.<br />

I keep my eyes peeled on our math.<br />

From addition <strong>to</strong> division is our path.<br />

I’d rather add instead of take a bath.<br />

The turn is mine, I’ll walk the line.<br />

All the dots keep me on their side.<br />

My love for math I’ll never, ever hide.<br />

Digital root I’d even turn the time.<br />

The turn is mine, I’ll walk the line.<br />

I keep a close watch on this number line<br />

I keep my eyes wide open all the time.<br />

I notice all the dots – they are a sign.<br />

The turn is mine, I’ll walk the line.<br />

32<br />

© 2009 Kim Sut<strong>to</strong>n<br />

+ − × ÷ + − × ÷ + − × ÷ + − × ÷<br />

+ − × ÷ + − × − × ÷ + − × ÷

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