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(1)
(2)

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(3)

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(4)

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(5)

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(6)

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(7)

0

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0

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0

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(8)

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(9)

DAMATH

MANUAL

Basically the rules in playing the Filipino

checkerboard game called “dama” will be

used with some modifications in

integrating Mathematics and Science as

follows:

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

3

4

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6

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0

1

2

4

3

5

6

7

(10)
(11)

0

1

2

3

4

5

6

7

0

1

2

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6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Set the

starting

positions of

the chips.

Integer

DAMATH

-11

-3

-1

-1

-11

-3

0

4

8

0

4

8

-7

-9

2

-5

6

10

10

6

-5

-9

-7

2

BACK

NEXT

(12)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Set the

starting

positions of

the chips.

Rational

DAMATH

-11/10

-3

/10

-1

/10

-1

/10

-11/10

-3

/10

0

4/10

8/10

0

4/10

8/10

-7

/10

-9

/10

2/10

-5

/10

6/10

10/10

10/10

6/10

-5

/10

-9

/10

-7

/10

2/10

BACK

NEXT

(13)

0

1

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3

4

5

6

7

0

1

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3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Set the

starting

positions of

the chips.

Radical

DAMATH

-121√18

-25√18

-49√8

16√32

-81√32

-9√2

-√8

36√32

100√2

64√2

144√8

4√18

-121√18

-25√18

-49√8

16√32

-81√32

-9√2

-√8

36√32

100√2

64√2

144√8

4√18

BACK

NEXT

(14)

0

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6

7

7

6

5

4

3

2

1

0

0

1

2

4

3

5

6

7

7

6

5

3

4

2

1

0

Set the

starting

positions of

the chips.

Polynomial

DAMATH

-55x

-15x

-21xy

2

10y

-45y

-3x

2

y

-xy

2

28y

66x

2

y

36x

2

y

78xy

2

6x

-55x

-15x

-21xy

2

10y

-45y

-3x

2

y

-xy

2

28y

66x

2

y

36x

2

y

78xy

2

6x

BACK

NEXT

(15)

After the starting positions of the chips

have been set, the first player is

determined by drawing lots. The first

player will occupy the side of the

DAMATH board where (0, 0) is located.

(16)

0

1

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5

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0

1

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0

1

2

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6

7

0

1

2

4

3

5

6

7

A chip is

allowed to

move

diagonally

forward only

to an adjoining

vacant square.

BLUE 

(0, 3)

RED 

(3, 4)

RED 

(7, 4)

BLUE 

(4, 3)

(17)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

A chip has to

take the

opponent’s

chip

diagonally

forward or

backward,

thus, pass is

not allowed.

Mathematical operations

(+, -, x, ÷) will be used

depending on the vacant

square’s operation

symbol where the Taker

chip lands by jumping

over the Taken chip (the

latter chip has to be

removed from the board

after performing the

indicated mathematical

operation and recording

the same in the

scoresheet).

BLUE 

(2, 3)

RED 

(3, 4)

(18)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

BLUE x RED

A chip has to

take the

opponent’s

chip

diagonally

forward or

backward,

thus, pass is

not allowed.

Mathematical operations

(+, -, x, ÷) will be used

depending on the vacant

square’s operation

symbol where the Taker

chip lands by jumping

over the Taken chip (the

latter chip has to be

removed from the board

after performing the

indicated mathematical

operation and recording

the same in the

scoresheet).

(19)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

RED - BLUE

(20)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

RED ÷ BLUE

(21)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

RED ÷ BLUE

BLUE 

(6, 3)

(22)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

RED - BLUE

(23)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

BLUE 

(6, 3)

(24)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

RED ÷ BLUE

(25)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

In taking a chip

or more than

one chip, the

Taker chip is

always the

addend,

minuend,

multiplicand, or

dividend as the

case may be.

BLUE - RED

(26)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

In taking a chip

or more than

one chip, the

Taker chip is

always the

addend,

minuend,

multiplicand, or

dividend as the

case may be.

BLUE + RED

(27)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

In taking a chip

or more than

one chip, the

Taker chip is

always the

addend,

minuend,

multiplicand, or

dividend as the

case may be.

BLUE + RED

(28)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

In taking a chip

or more than

one chip, the

Taker chip is

always the

addend,

minuend,

multiplicand, or

dividend as the

case may be.

BLUE + RED

BLUE - RED

BLUE ÷ RED

(29)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

In taking a chip

or more than

one chip, the

Dama Rules on

“dama”, mayor

dalawa or tatlo,

mayor tatlo over

dalawa, mayor

dama, and

mayor dalawa

or tatlo over

dama prevail.

BLUE + RED

Mayor DALAWA

(30)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

In taking a chip

or more than

one chip, the

Dama Rule on

“dama”, mayor

dalawa or tatlo,

mayor tatlo over

dalawa, mayor

dama, and

mayor dalawa or

tatlo over dama

prevail.

BLUE x RED

BLUE + RED

Mayor DALAWA

(31)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Mayor TATLO

BLUE + RED

(32)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

BLUE x RED

Mayor TATLO

BLUE + RED

(33)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

BLUE + RED

BLUE x RED

Mayor TATLO

BLUE + RED

(34)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Mayor TATLO

Over

DALAWA

BLUE + RED

(35)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

BLUE x RED

Mayor TATLO

Over

DALAWA

BLUE + RED

(36)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

BLUE x RED

Mayor TATLO

Over

DALAWA

BLUE + RED

BLUE + RED

(37)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Mayor DAMA

(38)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Mayor Dama

(39)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

BLUE DAMA ÷ RED

Mayor Dama

(40)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Mayor Dalawa

Over

DAMA

BLUE x RED

(41)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

BLUE + RED

Mayor Dalawa

Over

DAMA

BLUE x RED

(42)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Mayor Tatlo

Over

DAMA

BLUE + RED

(43)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

BLUE x RED

Mayor Tatlo

Over

DAMA

BLUE + RED

(44)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

BLUE + RED

Mayor Tatlo

Over

DAMA

BLUE + RED

BLUE x RED

(45)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Mayor Tatlo

Over

DAMA taking

Dalawa

BLUE + RED

(46)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Mayor Tatlo

Over

DAMA taking

Dalawa

BLUE + RED

BLUE x RED

(47)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Mayor Tatlo

Over

DAMA taking

Dalawa

BLUE + RED

BLUE x RED

BLUE + RED

(48)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

When two dama

chips will take

same number of

chips, it’s up for

the player to

decide which to

move.

(49)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

BLUE DAMA ÷ RED

When two dama

chips will take

same number of

chips, it’s up for

the player to

decide which to

move.

(50)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

BLUE DAMA x RED

When two dama

chips will take

same number of

chips, it’s up for

the player to

decide which to

(51)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

BLUE DAMA + RED

BLUE DAMA x RED

When two dama

chips will take

same number of

chips, it’s up for

the player to

decide which to

(52)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Mayor Tatlo

Over

Dalawa

(53)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Mayor Tatlo

Over

Dalawa

BLUE DAMA + RED

BLUE DAMA x RED

(54)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Mayor Tatlo

Over

Dalawa

BLUE DAMA + RED

BLUE DAMA x RED

BLUE DAMA + RED

(55)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

(56)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

A chip is

declared as

“dama” upon

reaching

terminally on

the following

designated

squares.

For BLUE

chips:

(0, 7), (2, 7),

(4, 7), (6, 7)

(57)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

A chip is

declared as

“dama” upon

reaching

terminally on

the following

designated

squares.

For RED chips:

(1, 0), (3, 0),

(5, 0), (7, 0)

(58)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

A chip is declared

as “dama” upon

reaching

terminally on the

following

designated

squares.

For BLUE chips:

(0, 7), (2, 7),

(4, 7), (6, 7)

For RED chips:

(1, 0), (3, 0),

(5, 0), (7, 0)

BLUE ÷ RED

RED + BLUE

(59)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

A chip is declared

as “dama” upon

reaching

terminally on the

following

designated

squares.

For BLUE chips:

(0, 7), (2, 7),

(4, 7), (6, 7)

For RED chips:

(1, 0), (3, 0),

(5, 0), (7, 0)

BLUE ÷ RED

RED + BLUE

RED - BLUE

(60)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Situations

where a chip is

not declared

as “dama”

BLUE - RED

(61)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Situations

where a chip is

not declared

as “dama”

BLUE - RED

BLUE + RED

RED x BLUE

(62)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Situations

where a chip is

not declared

as “dama”

BLUE - RED

BLUE + RED

RED x BLUE

RED ÷ BLUE

(63)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

RED - BLUE

Situations

where a chip is

not declared

as “dama”

BLUE - RED

BLUE + RED

RED x BLUE

RED ÷ BLUE

(64)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

(65)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

A dama chip is

allowed to move to

any unoccupied

square along its

diagonal path.

However, it can

only pass through

its diagonal path

once and could no

longer return to its

original position

when taking chips.

(66)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

It can take a

chip or more

than one chip

.

BLUE DAMA x RED

A dama chip is

allowed to move

to any

unoccupied

square along its

diagonal path.

However, it can

only pass

through its

diagonal path

once and could

no longer return

to its original

position when

(67)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

BLUE DAMA x RED

BLUE DAMA x RED

It can take a

chip or more

than one chip

.

A dama chip is

allowed to move

to any

unoccupied

square along its

diagonal path.

However, it can

only pass

through its

diagonal path

once and could

no longer return

to its original

position when

(68)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

BLUE DAMA x RED

BLUE DAMA x RED

BLUE DAMA ÷ RED

or

BLUE DAMA + RED

It can take a

chip or more

than one chip

.

A dama chip is

allowed to move

to any

unoccupied

square along its

diagonal path.

However, it can

only pass

through its

diagonal path

once and could

no longer return

to its original

position when

(69)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

BLUE DAMA x RED

It can take a

chip or more

than one chip

.

A dama chip is

allowed to move

to any

unoccupied

square along its

diagonal path.

However, it can

only pass

through its

diagonal path

once and could

no longer return

to its original

position when

(70)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

BLUE DAMA ÷ RED

It can take a

chip or more

than one chip

.

A dama chip is

allowed to move

to any

unoccupied

square along its

diagonal path.

However, it can

only pass

through its

diagonal path

once and could

no longer return

to its original

position when

(71)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

BLUE DAMA X RED

It can take a

chip or more

than one chip

.

A dama chip is

allowed to move

to any

unoccupied

square along its

diagonal path.

However, it can

only pass

through its

diagonal path

once and could

no longer return

to its original

position when

(72)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Moreover, a

dama’s score

is doubled in

taking a chip

or chips.

(73)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Moreover, a

dama’s score

is doubled in

taking a chip

or chips.

2(BLUE DAMA x RED)

2(BLUE DAMA x RED)

or

(74)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Dama’s score

is quadrupled

if it takes the

opponent’s

dama chip.

4(BLUE DAMA x

RED DAMA)

(75)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Similarly, an

ordinary chip’s

score is

doubled if it

takes a dama

chip.

(76)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Similarly, an

ordinary chip’s

score is

doubled if it

takes a dama

chip.

2(RED + BLUE DAMA)

RED x BLUE

(77)

WRITING

ENTRIES IN

THE

SCORESHEET

Player A

Player B

Move

Score

Total

Move

Score

Total

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

(78)
(79)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

-9

-11

-3

-1

-1

-11

-3

0

4

8

0

4

8

Integer

DAMATH

-7

2

-5

6

10

10

6

-5

-9

-7

2

(80)

Integer DAMATH Scoresheet

Player BLUE

Name:__Ramon________________________________ School:_________________________________ Grade/Year:_____________________________

Player RED

Name:__Lapus________________________________ School:_________________________________ Grade/Year:_____________________________

Move Score Total Move Score Total

(81)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

Integer

DAMATH

-1

-9

-11

-3

-1

-11

-3

0

4

8

0

4

8

-7

2

-5

6

10

10

6

-5

-9

-7

2

(82)

Player BLUE

Name:__________________________________ School:_________________________________ Grade/Year:_____________________________

Player RED

Name:__________________________________ School:_________________________________ Grade/Year:_____________________________

Move Score Total Move Score Total

-9

(0, 3)

-1

(1, 4)

(83)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

-1

-9

Integer

DAMATH

-11

-3

-1

-11

-3

0

4

8

0

4

8

-7

2

-5

6

10

10

6

-5

-9

-7

2

(84)

Player BLUE

Name:__________________________________ School:_________________________________ Grade/Year:_____________________________

Player RED

Name:__________________________________ School:_________________________________ Grade/Year:_____________________________

Move Score Total Move Score Total

-9

(0, 3)

-1

(1, 4)

-9 + (-1)

-10

-10

(85)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

-9

10

-11

-3

-1

-11

-3

0

4

8

0

4

8

-7

2

-5

6

10

6

-5

-9

-7

2

Integer

DAMATH

(86)

Player BLUE

Name:__________________________________ School:_________________________________ Grade/Year:_____________________________

Player RED

Name:__________________________________ School:_________________________________ Grade/Year:_____________________________

Move Score Total Move Score Total

-9

(0, 3)

-1

(1, 4)

-9 + (-1)

-10

-10

10 + (-9)

1

1

(87)

0

1

2

3

4

5

6

7

0

1

2

3

4

5

6

7

0

1

2

4

3

5

6

7

0

1

2

4

3

5

6

7

-9

-1

-11

-3

-11

-3

0

4

8

0

4

8

-7

2

-5

10

6

-5

-7

2

Integer

DAMATH

(88)

Player BLUE

Name:__________________________________ School:_________________________________ Grade/Year:_____________________________

Player RED

Name:__________________________________ School:_________________________________ Grade/Year:_____________________________

Move Score Total Move Score Total

-9

(0, 3)

-1

(1, 4)

-9 + (-1)

-10

-10

10 + (-9)

1

1

-1 – (-9)

8

-2

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