Greg Tang’s The Art of Smart - Judson University Old Traditional Algorithms Handout.ppt Author: GREGORY TANG Created Date: 2/20/2012 10:55:05 AM

copyright 2012 Greg Tang Math LLC www.GregTang.com

The Art of Smart

www.gregtang.com

www.gregtang.com

Greg Tang’s

June 19, 2012

GregTangMath.com GregTang.com

Judson University Literacy in Motion Conference

Copyright © 2010 Greg Tang Math, LLC

Think in smart groups. Don’t count by ones!Think smart

Math PotatoesAdvanced

Boiled and baked and mashed,Peeled and fried and sometimes hashed.

No wonder spuds hide underground -Life is painful when they’re found!

Can you add up these poor souls,For whom the bell already tolls?

In groups of ten you’ll hear their cries,“Please don’t turn us into fries!”

MathPotatoes

How many potatoes?

Math Potatoes Worksheet


Think smart Think in smart groups. Don’t count by ones!

Math AppealAdvanced

A pea would find it rather odd,To be alone inside a pod.

They like to hang out with their friends,For them the party never ends!

Can you count up all the peas?With 11’s it’s a breeze!

Boston Pea Party

How many peas?

Boston Pea Party Worksheet


Think smart Think in smart groups. Don’t count by ones!

Math AppealAdvanced

When Newton sat beneath this tree,He didn’t know of gravity.

Then an apple shiny red,Tumbled down and hit his head!

How many apples are in sight?Here’s a way that’s really bright.

If you want to count them fast,Keep adding first rows to the last!

Isaac’s Apple

How many apples?

Isaac’s Apple Worksheet

Name:

Date:

copyright © Greg Tang www.GregTangMath.com

Strategy:

Worksheet: 4A

“Rhyming is a useful tact, for learning each addition fact!”

9 is very fast and fun, if you add the number ___ .

8 is better it is true, in the company of ___ .

7’s easy as can be, when you group it with a ___ .

6 will leave you wanting more, try to find the number ___ .

5 is never any trouble, add ___ more and make a double.

4 has such an easy fix, simply add the number ___ .

3 is so much better when, you add a ___ to make ten.

2 will leave you feeling great, if you pair it with an ___ .

1 is easy by design, simply choose the number ___ .

Make 10

9

Name:

Date:


Strategy:

Worksheet: 4C

“Rhyming is a useful tact, for learning each addition fact!”

___ is very fast and fun, if you add the number ___ .

___ will leave you feeling great, if you pair it with an ___ .

___ has such an easy fix, simply add the number ___ .

___ is never any trouble, add ___ more and make a double.

___ ’s easy as can be, when you group it with a ___ .

___ will leave you wanting more, try to find the number ___ .

___ is better it is true, in the company of ___ .

___ is easy by design, simply choose the number ___ .

___ is so much better when, you add a ___ to make ten.

Make 10

11

Name:

Date:


Strategy:

Worksheet:

1) 9 + 4 =

2) 9 + 6 =

3) 9 + 3 =

4) 9 + 8 =

5) 9 + 5 =

6) 9 + 9 =

7) 9 + 7 =

8) 9 + 2 =

1 + 3

+ 5

+ 2

1 +

+

+

+

+

1A

“A 9 is very quickly done. Simply start by adding 1!”

make 10 add the rest








Make 10

12

Name:

Date:


Strategy:

Worksheet:

1) 8 + 3 =

2) 8 + 5 =

3) 8 + 9 =

4) 8 + 4 =

5) 8 + 7 =

6) 8 + 8 =

7) 8 + 6 =

8) 2 + 9 =

2 + 1

+ 3

+ 7

2 +

+

+

+

+

1B

“With 8 a 2 goes really well. With 2 an 8 is really swell!”









Make 10

13

Name:

Date:


Strategy:

Worksheet:

1) 7 + 4 =

2) 7 + 8 =

3) 7 + 6 =

4) 7 + 9 =

5) 7 + 5 =

6) 7 + 7 =

7) 3 + 8 =

8) 3 + 9 =

3 + 1

+ 5

+ 3

3 +

+

+

+

+

1C

“With 7 simply first add 3. With 3 a 7 is the key!”









Make 10

14

Name:

Date:


Strategy:

Worksheet:

1) 6 + 5 =

2) 6 + 8 =

3) 6 + 7 =

4) 6 + 9 =

5) 6 + 6 =

6) 4 + 7 =

7) 4 + 9 =

8) 4 + 8 =

4 + 1

+ 4

+ 3

4 +

+

+

+

+

1D

“With 6 a 4’s the place to start. With 4 a 6 is really smart!”









Make 10

15

Name:

Date:


Strategy:

Worksheet:

1) 5 + 6 =

2) 5 + 8 =

3) 5 + 7 =

4) 5 + 9 =

5) 5 + 8 =

6) 5 + 9 =

7) 5 + 6 =

8) 5 + 7 =

5 + 1

+ 3

+ 2

5 +

+

+

+

+

1E

“A 5 is very quickly done. First just add another one!”









Make 10

16

copyright © 2011 Creative Smarts Inc. www.GregTangMath.com

Name:

Date:

Strategy: Make 10

Worksheet:

2 3

5 1

7 2

2 6

1 4

2 3

5 1

7 2

2 6

1 4

make 10 the rest

make 10 the rest

make 10 the rest

make 10 the rest

make 10 the rest

make 10 the rest

make 10 the rest

make 10 the rest

make 10 the rest

make 10 the rest

6. 2 + 9 = 11

7. 7 + 7 = 14

8. 9 + 4 = 13

9. 8 + 6 = 14

10. 9 + 8 = 17

1. 8 + 5 = 13

2. 5 + 6 = 11

3. 3 + 9 = 12

4. 8 + 8 = 16

5. 9 + 5 = 14

11-Mental Math

��

17

copyright © 2011 Creative Smarts Inc. www.GregTangMath.com

Name:

Date:

Strategy: Make 10s

Worksheet:

2 3

5 1

7 2

2 6

1 4

2 3

5 1

7 2

2 6

1 4

make 80 the rest

make 30 the rest

make 90 the rest

make 20 the rest

make 60 the rest

make 50 the rest

make 70 the rest

make 40 the rest

make 30 the rest

make 50 the rest

6. 48 + 7 = 55

7. 66 + 6 = 72

8. 38 + 9 = 47

9. 27 + 6 = 33

10. 46 + 5 = 51

1. 76 + 7 = 83

2. 27 + 4 = 31

3. 89 + 7 = 96

4. 14 + 9 = 23

5. 56 + 8 = 64

12-Mental Math

��

18

Copyright © 2012 Greg Tang Math LLC

Finalanswer:b

c

de

a

www.GregTangMath.com

Puzzled? In each 5-number pentagon, find the number that is the sum of 2 other numbers. Use all 5 sums to create 1 final puzzle and solve.

Æ

4

1014 5

7 12

69 4

7 5

715 8

6 12

141 5

4 7

107 14

2

Addition

Find the number that is the sum

of 2 others

1st

sum Æ

9

KAKOOMABasic Level – Puzz le #2


cb

a

f

d

e

Finalanswer:


Puzzled? In each 6-number hexagon, find the number that is the sum of 2 other numbers. Use all 6 sums to create 1 final puzzle and solve.

Æ

3 8

518

64

9 13

2019

184

19 6

79

114

4 12

203

918

5 14

167

68

6 2

41

1611

Addition

1st

sum


of 2 others

Æ

6

KAKOOMAModerate Level – Puzz le #3


Finalanswer:

ihg

fed

cba


Puzzled? In each 9-number square, find the number that is the sum of 2 other numbers. Use all 9 sums to create 1 final puzzle and solve.

Æ

12

19 15

18

8 25

22

14

24

18

19 9 11

17 12

151014

3 16 7

18 1

242211

20

10

7 20 18

21 22

161917

4 12 5

11 21

6133

20

12

1 5 19

25 15

9822

14

3 8 19

10 1

12216

13

8 22 20

24 3

61510

2

25 18 4

5 15

121124

Addition

1st

sum Æ


of 2 others

11

KAKOOMAAdvanced Level – Puzz le #4


cb

a

f

d

e

Finalanswer:



Æ

1 3

-8-10

9-4

1 7

-7-5

-84

4 2

-78

-8-3

6 2

8-5

-1-10

-1 6

-3-10

31

-1 -2

110

4-7

Negatives

1st

sum


of 2 others

Æ

-1



cb

a

f

d

e

Finalanswer:



Æ

Fractions Pro

1st

sum


of 2 others

Æ


105

105

102

206

201

201

2015

205

105

208

102

2011

209

2015

207

203

205

2013

103

101

204

2010

205

2011

203

207

205

102

203

205

2013

2013

105

205

2015

209

207


Finalanswer:

hgf

ed

cba


Puzzled? In each 9-number square, find the number that is the product of 2 other numbers. Use all 8 products to create 1 final addition puzzle and solve.

5 27 60

219

8436

10

10 72 80

67

5908

64

10 8 6

4050

3436

64

50 72 10

864

8169

7

10 21 7

1614

264

30

32 7 24

816

963

36

3 28 4

206

35277

86

49 45

8

74

64

9

56

Æ

Times

1st

product Æ


of 2 others

14

KAKOOMAAdvanced Level – Puzz le #7

x

+

EXPRESSO

copyright © 2012 Greg Tang Math LLC www.GregTangMath.com

Fill in the missing operators (+, -) so each expression equals its target number above. Don’t forget the correct order of operations!

3 (5 2) 4

5 10 (4 1)

9 (10 5) 6

1 (9 2) 10

3 9 (4 2)

4 (5 1) 2

8 7 (2 1)

5 9 (3 1)

9 8 (5 4)

1 (7 2) 8

Basic Level: # 1

Flip side: a. +- b. -+ c. ++ d. -+ e. +- f. +- g. +- h. +- i. +- j. +-

j.

i.

h

g.

f.

e.

d.

c.

b.

a.

Plus & Minus

EXPRESSO



3 (10 8) (9 6)

8 (3 2) (10 7)

2 (5 4) (6 1)

10 (4 3) (8 5)

4 (10 2) (5 3)

8 (7 4) (9 6)

7 (8 2) (9 6)

9 (8 2) (5 4)

8 (10 3) (2 1)

2 (7 5) (9 1)

Intermediate Level: # 2

Flip side: a. ++- b. +-- c. ++- d. +-+ e. +-+ f. ++- g. +-+ h. ++- i. ++- j. +-+

j.

i.

h

g.

f.

e.

d.

c.

b.

a.

Plus & Minus

EXPRESSO



9 8 7 5 1

4 6 2 1 3

2 8 5 7 4

6 7 3 4 2

8 9 7 2 6

9 8 4 6 3

2 9 3 4 6

1 8 4 2 9

7 6 2 4 3

1 8 5 2 4

Advanced Level: # 3

Flip side: a. +-- b. +-+ c. +-- d. -++ e. ++- f. +-- g. +-- h. ++- i. -+- j. ++-

j.

i.

h

g.

f.

e.

d.

c.

b.

a.

Plus & Minus

EXPRESSO


Fill in the missing operators (+, -, x, ÷) so each expression equals its target number above. Don’t forget the correct order of operations!

13 15 (12 6)

3 (11 7) 6

8 11 (9 3)

4 7 (15 5)

15 (7 3) 6

8 (11 7) 2

14 (12 5) 2

12 6 (7 5)

5 15 (7 4)

6 (15 12) 2

Basic Level: # 4

Flip side: a. ÷- b. ÷+ c. ÷- d. ÷÷ e. x- f. ÷- g. ÷- h. -÷ i. -x j. ÷-

j.

i.

h

g.

f.

e.

d.

c.

b.

a.

All Operators

EXPRESSO



1 (12 3) (10 7)

9 (10 2) (12 4)

6 (2 1) (12 10)

9 (11 3) (6 4)

4 (11 3) (7 5)

8 (6 4) (10 7)

12 (13 11) (10 8)

14 (6 1) (10 5)

1 (8 4) (10 6)

6 (11 7) (12 4)

Intermediate Level: # 5

Flip side: a. x-x b. ÷÷÷ c. -+÷ d. xx- e. x-x f. x-x g. x+÷ h. xx- i. -÷÷ j. ÷÷-

j.

i.

h

g.

f.

e.

d.

c.

b.

a.

All Operators

EXPRESSO



9 5 4 10 1

12 11 15 3 5

5 13 12 2 3

6 12 14 2 13

9 3 2 6 4

15 14 1 6 3

11 15 6 2 3

2 13 9 3 14

6 12 10 2 11

1 6 12 3 9

Advanced Level: # 6

Flip side: a. -+÷ b. x-- c. +÷- d. -÷- e. x-- f. x-- g. -+÷ h. ÷x÷ i. -÷- j. x+-

j.

i.

h

g.

f.

e.

d.

c.

b.

a.

All Operators

Documents

Greg Tang’s The Art of Smart - Judson University Old Traditional Algorithms Handout.ppt Author: GREGORY TANG Created Date: 2/20/2012 10:55:05 AM