**Essay**

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Introduction DAMATH. a patent-pending mathematical board-game invented by five-time national awardee Jesus L. Huenda. is coined from the popular Filipino checker board game of Dama. ( or lady in Spanish ) and mathematics. It started in a Sorsogon National High School category in Sorsogon. Philippines and its popularity spread rapidly and resulted in the first national DAMATH competitions held at Legaspi City in 1980.

He initiated this competition with the support of the Science Foundation of the Philippines. He hopes to present DAMATH to secondary math instructors as portion of a demand of his work as PASMEP Fellow at Curtin University / WACAE. Western Australia.

Therefore if this stuff. or portion of it. is used commercially or otherwise ( except for schoolroom direction intents ) . permission must be secured in composing from him. By the manner. DAMATH is portion of the inventor’s place paper. Non-formal mathematics instruction: the Sorsogon National High School experience. delivered at the 1978 First Southeast Asian Conference on Mathematical Education. PICC. Manila ; 1979 and 1980 MTAP national conventions at Legaspi City and Quezon City.

severally. 1981. 1983 and 1988 Philippine Expositions. PHILTRADE. Manila ; conference. Mandurah. WA ; Australian Association of Mathematics Teachers 13th two-year national conference. Hobart.

Rationale It is going a turning schoolroom pattern in many school topics. including mathematics. to utilize games to advance the apprehension of constructs and accomplishments. This pattern is supported by child psychologist Piaget and Inhelder ( 1969 ) and Kohlberg ( 1969 ) who are convinced that affectional. cognitive. and societal development strongly act upon one another and develop along parallel lines. There are informations to back up this statement.

Therefore. the usage of socially synergistic mathematical games in acquisition and instruction mathematics is believable.

Aims 1. To incorporate the Filipino checkerboard game of Dama into the instruction of mathematical constructs and accomplishments. 2. To promote the use of recycled stuffs in building damath board set ( for schoolroom usage merely ) . 3. To analyse damath as a possible topic of mathematical probes. 4. To heighten wholesome interpersonal dealingss among scholars. 5. To advance mathematical consciousness among. household members in peculiar and the community in general through the mathematics club’s community outreach damath competitions. 6. To advance consciousness of misss in mathematics [ as male monarch is to the game of cheat. so dama ( or lady ) is to damath ]

ES I–Math & gt ; Biongcog ; MT 1 = & gt ; Lauron ; MT 1 = & gt ; Tubin ; HT 3 = & gt ; Torbeso ; MT 1 = & gt ; Berna MT 2= & gt ; Gonzaga ; T2= & gt ; Perez

2 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

Teacher’s Notes:

Any game can be fiddling or worthwhile. It all depends on the participants of the game and when and why. Feedback from instructors who have tried damath is promoting because they have found it appropriate. merriment. and utile in their categories. All 12 games are to be played in braces. Students larning mathematics in this manner have been found to tie in mathematics with wholesome and purposeful work. These games may present. addendum. reinforce or refresh constructs. accomplishments and attitudes.

To acquire the most out of damath. read the attach toing guide sheet and list of stuffs needed. Determine what excess work can be assigned to braces of pupils who will transport out the activity. As a follow-up activity. some mathematical probes refering damath may be assigned to little groups of pupils. or mathematics nine may carry on community-outreach damath competitions foregrounding consciousness of misss in mathematics. In making so. detect student’s public presentation and reactions and enter them in a cognitive accomplishment checklist and attitude severally.

This. together with your appraisal. will supply you with important informations for future mention. The discoverer welcome suggestions from instructors in the field by directing it to: Jesus L. Huenda. Curriculum Development Division. Bureau of Secondary Education. Department of Education. Culture and Sports. Palacio delGovernador. Intramuros. Manila. Suggestions and input can be mailed to him utilizing the undermentioned signifier: ( See following page ) .

TO THE STUDENTSIn DAMATH. there are 12 games to play. All of these games are original particularly designed for you – – – to do you make and play mathematics. have fun with it in believing. doing a game program. and utilizing your common sense. honestness and just drama.

Make them and larn mathematics.

Make them and bask yourself. excessively.

ES I–Math & gt ; Biongcog ; MT 1 = & gt ; Lauron ; MT 1 = & gt ; Tubin ; HT 3 = & gt ; Torbeso ; MT 1 = & gt ; Berna MT 2= & gt ; Gonzaga ; T2= & gt ; Perez

3 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

Name of the game: ___________________________ School: ____________________________ Sender’s Name ( Optional ) : _____________________ Address: ___________________________ What I like in the game Areas for betterment

Guide SheetTitle Damath the Teeny Integer Countess Damath Damath-in-a-Whole Damath Over U Busy Deci Damath Damath the Old Prime Madonna Damath the Fibo Nutty Lady Byte-a-Damath Damath a La Mod Trig-a-Damath Sci-No-Damath Log-a-Damath Concept Integers Counting Numberss Whole Numberss Fractions decimals Prime Numberss Fibonacci sequence Binary Numberss Modulo 12 Trigonometric Functions Scientific Notation Logarithmic map Place in the Curriculum Review activity for Unit of measurements 3 – 8 List of Materials Damath board set ( See attachment A )

Enrichment activity for Unit of measurements 3 – 8

Enrichment activity for Unit 2 Introductory activity for Unit 5 Enrichment activity for Unit 6

ES I–Math & gt ; Biongcog ; MT 1 = & gt ; Lauron ; MT 1 = & gt ; Tubin ; HT 3 = & gt ; Torbeso ; MT 1 = & gt ; Berna MT 2= & gt ; Gonzaga ; T2= & gt ; Perez

4 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

DAMATH: 12 games for High School Mathematics Contents Of This Package • Activity sheets for pupils for each of the undermentioned rubrics: – Activity – Activity – Activity – Activity – Activity – Activity – Activity – Activity – Activity – Activity – Activity – Activity • Teacher’ Manual 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. Damath the Teeny Integer Countess Damath Damath-in-a-Whole Damath Over U Busy Deci Damath Damath the Odd Prime Madonna Damath the Fibo Nutty Lady Byte-a-Damath Damath a La Mod Trig-a-Damath Sci-no-Damath Log-a-Damath

Rules:How to S T A R T

24 french friess should be placed foremost on the undermentioned squares on the DAMATH board Biongcog ; MT 1 = & gt ; Lauron ; MT 1 = & gt ; Tubin ; HT 3 = & gt ; Torbeso ; MT 1 = & gt ; Berna MT 2= & gt ; Gonzaga ; T2= & gt ; Perez

5 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

How to do a move1. Flip a coin to make up one’s mind who moves foremost. 2. The first participant moves a piece by skiding diagonally frontward to an bordering vacant square ( no bit is tobe placed on coloured squares ) . Record your move in the scoresheet. Example: Red participant moves “-1” to an bordering vacant square ( 5. 4 ) . therefore. to the scoresheet the participant writes on the first column under the header “Move” with [ -1 ( 5. 4 ) ] to intend “-1” goes to a square located 5 on its x-axis and 4 on its y-axis. 3. The two participants alternately take bend in traveling a piece.

How to take a piece ( Ka-on )1. In the illustration above. Red participant with piece “-1” is required ( base on balls is non allowed ) to take a piece “2” of Blue side by leaping over the piece to be taken and set downing on the latter’s bordering vacant square. which. besides. find the symbol of operation to be used.

Examples: “-1” takes “2” by leaping over it ( participant gets the piece “2” ) and eventually lands on a square ( 7. 2 ) which has minus mark on it. Therefore. on the scoresheet. the participant writes on the first column with “-1 – 2” . Furthermore. on the 2nd column under the header “Score” . the participant writes the reply as “-3” . While on the 3rd column under the header “Total Score” . the participant writes the entire mark by adding whatever points in it. therefore. “-3” . Round off Numberss. if necessary. 2. A participant can take one bit or more than one bit with the needed option to take the greater figure of french friess. 3. A Red bit is declared as “dama” if it reaches any of the undermentioned squares: ( 1. 0 ) ( 3. 0 ) ( 5. 0 ) ( 7. 0 )

Similarly. for Blue Chip as follows: ( 0. 7 ) ( 2. 7 ) ( 4. 7 ) ( 6. 7 )

4. Once a piece is declared as “dama” it could skid diagonally frontward or rearward in any vacant square provided no opposing piece blocks it. It could take a piece or pieces and have the privilege of duplicating its tonss. 5. The game is ended it – – ( a. ) a participant has no more piece to travel ; or. ( b. ) it is impossible for any or both participants to travel on because of perennial move.

6 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

In ( a ) or ( B ) . the staying piece or pieces are added to the entire mark. Finally. the participant with the greater accrued sum. wins the game.

How to hitShown below is a Damath Scoresheet. Initial entries on it were taken from the above illustrations of player’s move and in taking piece or pieces.

DAMATH SCORESHEETRed Player Move -1 ( 5. 4 ) -1 – 2 Score -3 Total 2 -3 Player Move ( 9. 3 ) Mark Entire Blue

Player’s Signature:

Player’s Signature:

Signature of Teacher / Parent:

Signature of Teacher / Parent:

Win

Loss

Win

Loss

7 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

Activity

1:

DAMATH

the

Teeny Integer

A game for two participants.

What you need* • DAMATH board ( 8 squares by 8 squares ) 24 french friess in two colourss: ( 12 of each colour. therefore. 0. -1. 2. -3. 4. -5. 6. -7. 8. -9. 10. -11 ) For illustration. see attachment A of this Package.

What it is aboutIt is a game of add-on. minus. generation and division of whole numbers. rounding off Numberss. and point plotting.

Aim of the GameThe participant with the most points wins.

8 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

Activity

2:

Countess DAMATH

A game for two participants.

What you needSame stuffs as in Activity 1. but on the rearward side of bit no. “0” write bit no. “12” .

What it is aboutIt is a game of adding. deducting. multiplying. and spliting numeration Numberss ; rounding off Numberss. and point plotting.

Aim of the GameThe participant with the most points wins.

9 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

RulesLapp regulations as in Activity 1. but the “0” bit is replaced by “12” [ “12” is on the rearward side of “0” bit ] ; and. negative marks have to be disregarded. Thus. initial places of the french friess are as follows:

Chip Number 1 2 3 4 5 6 7 8 9 10 11 12

Position of Blue Chip ( 1. 2 ) ( 3. 2 ) ( 5. 2 ) ( 7. 2 ) ( 0. 1 ) ( 2. 1 ) ( 4. 1 ) ( 6. 1 ) ( 1. 0 ) ( 3. 0 ) ( 5. 0 ) ( 7. 0 )

Position of Red Chip ( 6. 5 ) ( 4. 5 ) ( 2. 5 ) ( 0. 5 ) ( 7. 6 ) ( 5. 6 ) ( 3. 6 ) ( 1. 6 ) ( 6. 7 ) ( 4. 7 ) ( 2. 7 ) ( 0. 7 )

In taking a bit or french friess. add-on. minus generation. and division of numbering Numberss are used. Round off Numberss. if necessary. in doing entries on the scoresheet.

10 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

Activity

3:

DAMATH – in – a – Whole

A game for two participants.

What you need

Same stuffs as in Activity 1

What it is aboutIt is a game of adding. deducting. multiplying and spliting Whole Numberss ; rounding off Numberss. and point plotting.

Aim of the GameThe participant with the most points wins.

11 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

RulesLapp regulations as in Activity 2. but the “12” bit is replaced by “0” [ “0” is on the rearward side of “12” bit ] ; and. negative marks have to be disregarded. Thus. initial places of the french friess are as follows:

Chip Number 0 1 2 3 4 5 6 7 8 9 10 11

Position of Blue Chip ( 1. 2 ) ( 3. 2 ) ( 5. 2 ) ( 7. 2 ) ( 0. 1 ) ( 2. 1 ) ( 4. 1 ) ( 6. 1 ) ( 1. 0 ) ( 3. 0 ) ( 5. 0 ) ( 7. 0 )

Position of Red Chip ( 6. 5 ) ( 4. 5 ) ( 2. 5 ) ( 0. 5 ) ( 7. 6 ) ( 5. 6 ) ( 3. 6 ) ( 1. 6 ) ( 6. 7 ) ( 4. 7 ) ( 2. 7 ) ( 0. 7 )

In taking a bit or french friess. add-on. minus generation. and division of whole Numberss are used. Round off Numberss. if necessary. in doing entries on the Scoresheet.

12 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

Activity

4:

DAMATH Over U

A game for two participants.

What you need

Same stuffs as in Activity 1. but the positive and negative Numberss should hold “10” as denominator ( use rearward side of french friess ) .

What it is aboutIt is a game of adding. deducting. multiplying and dividing fractions ; and indicate plotting.

Aim of the GameThe participant with the most points wins.

RulesSame regulation as in Activity1. but adding. Subtracting. multiplying and dividing fractions are used. therefore. all entries on the Scoresheet are fractions. ES I–Math & gt ; Biongcog ; MT 1 = & gt ; Lauron ; MT 1 = & gt ; Tubin ; HT 3 = & gt ; Torbeso ; MT 1 = & gt ; Berna MT 2= & gt ; Gonzaga ; T2= & gt ; Perez

13 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

Activity

5:

Busy Deci

DAMATH

A game for two participants.

What you need

Same stuffs as in Activity 4. but denary equivalent should take the topographic point of fractions.

What it is aboutIt is a game of adding. deducting. multiplying and dividing decimals ; and indicate plotting.

Aim of the GameThe participant with the most points wins.

RulesSame regulation as in Activity 4. but alternatively of fractions. the denary equivalents are added. subtracted. multiplied. and divided. In taking a bit or french friess. consequences of mathematical operations are rounded off to the nearest hundredths. ES I–Math & gt ; Biongcog ; MT 1 = & gt ; Lauron ; MT 1 = & gt ; Tubin ; HT 3 = & gt ; Torbeso ; MT 1 = & gt ; Berna MT 2= & gt ; Gonzaga ; T2= & gt ; Perez

14 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

Activity

6:

DAMATH the Odd Prime Madonna

A game for two participants.

What you need

Same stuffs as in Activity 1

What it is aboutIt is a game of premier Numberss ; whole numbers ; squaring Numberss ; rounding off Numberss ; and indicate plotting.

Aim of the GameThe participant with the most points wins.

RulesSame regulation as in Activity 1. but in taking a bit or french friess the consequences of algebraic operations are squared if it is an uneven premier figure. ES I–Math & gt ; Biongcog ; MT 1 = & gt ; Lauron ; MT 1 = & gt ; Tubin ; HT 3 = & gt ; Torbeso ; MT 1 = & gt ; Berna MT 2= & gt ; Gonzaga ; T2= & gt ; Perez

15 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

Activity

7:

DAMATH the Fibo Nutty Lady

A game for two participants.

What you need

Same stuffs as in Activity 2

What it is aboutIt is a game utilizing the Fibonacci sequence ; numbering Numberss ; Cubing Numberss ; rounding off Numberss ; and indicate plotting.

Aim of the GameThe participant with the most points wins.

RulesSame regulation as in Activity 2. but in taking a bit or french friess the consequences of mathematical operations are cubed if it is a Fibonacci figure.

16 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

Activity A game for two participants.

8:

Byte – a – DAMATH

What you needSame stuffs as in Activity 3. but even Numberss are to be considered as “0” . while uneven Numberss as “1” .

What it is aboutIt is a game of adding. deducting. multiplying and spliting binary Numberss ; and indicate plotting

Aim of the GameThe participant with the most points wins.

RulesSame regulation as in Activity 3. but in taking a piece or pieces binary arithmetic is used. Therefore. initial places of blue and ruddy french friess are as follow: French friess 0 1 0 1 0 1 0 1 0 1 0 1 Position of Blue Chip Position of Red Chip ( 1. 2 ) ( 6. 5 ) ( 3. 2 ) ( 4. 5 ) ( 5. 2 ) ( 2. 5 ) ( 7. 2 ) ( 0. 5 ) ( 0. 1 ) ( 7. 6 ) ( 2. 1 ) ( 5. 6 ) ( 4. 1 ) ( 3. 6 ) ( 6. 1 ) ( 1. 6 ) ( 1. 0 ) ( 6. 7 ) ( 3. 0 ) ( 4. 7 ) ( 5. 0 ) ( 2. 7 ) ( 7. 0 ) ( 0. 7 )

17 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

Activity A game for two participants.

9:

DAMATH – a La Mod

What you needSame stuffs as in Activity 3

What it is aboutIt is a game of add-on. minus. generation and Division in faculty 12 ; and indicate plotting.

Aim of the GameThe participant with the most points wins.

RulesSame regulation as in Activity 3. but in taking a piece or pieces binary arithmetic is used. Therefore. initial places of blue and ruddy french friess are as follow: French friess 1 2 3 4 5 6 7 8 9 10 11 12 Position of Blue Chip Position of Red Chip ( 1. 2 ) ( 6. 5 ) ( 3. 2 ) ( 4. 5 ) ( 5. 2 ) ( 2. 5 ) ( 7. 2 ) ( 0. 5 ) ( 0. 1 ) ( 7. 6 ) ( 2. 1 ) ( 5. 6 ) ( 4. 1 ) ( 3. 6 ) ( 6. 1 ) ( 1. 6 ) ( 1. 0 ) ( 6. 7 ) ( 3. 0 ) ( 4. 7 ) ( 5. 0 ) ( 2. 7 ) ( 7. 0 ) ( 0. 7 )

18 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

Activity A game for two participants.

10:

Trig – a – DAMATH

What you needSame stuffs as in Activity 1. but the undermentioned whole numbers should hold the Corresponding trigonometric maps by altering them to grades: Chips in grades -1 and 10 -3 and 8 -5 and 6 -7 and 4 -9 and 2 11 and 0 Trigonometric Functions Sin Cos Tan Cot Sec Csc

What it is aboutIt is a game utilizing trigonometric maps ; trigonometric individualities ; altering grades to radians and frailty – versa ; and indicate plotting.

Aim of the GameThe participant with the most points wins.

RulesSame regulation as in Activity 1. but in taking a piece or pieces ( this clip. whole numbers are expressed in grades ) trigonometric maps and individualities are used. Therefore. initial places of blue and ruddy french friess are as follow: French friess in degrees Position of Blue Chip Position of Red Chip Csc 0 ( 5. 2 ) ( 2. 5 ) Sin –1 ( 3. 2 ) ( 4. 5 ) Second 2 ( 7. 2 ) ( 0. 5 ) Cos -3 ( 1. 2 ) ( 6. 5 ) Fingerstall 4 ( 4. 1 ) ( 3. 6 ) Tan –5 ( 2. 1 ) ( 5. 6 ) Tan 6 ( 6. 1 ) ( 1. 6 ) Cot –7 ( 0. 1 ) ( 7. 6 ) Cosine 8 ( 5. 0 ) ( 2. 7 ) Sec –9 ( 3. 0 ) ( 4. 7 ) Sin 10 ( 7. 0 ) ( 0. 7 ) Csc -11 ( 1. 0 ) ( 6. 7 )

19 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

Activity A game for two participants.

11:

Sci – no – DAMATH

What you needSame stuffs as in Activity 2. but the whole numbers are raised to their corresponding Powers as follows. Chips 1 2 3 4 5 6 7 8 9 10 11 12 Expressed in Scientific Notation 1. 1 ten 10-1 2. 2 ten 10 2 3. 3 ten 10-3 4. 4 ten 10 4 5. 5 ten 10-5 6. 6 ten 10 6 7. 7 ten 10-7 8. 8 ten 10 8 9. 9 ten 10-9 1. 01 ten 10 10 1. 11 ten 10-11 1. 212 ten 10 12

What it is a turnIt is a game of adding. deducting. multiplying and spliting Numberss in scientific notation ; and indicate plotting.

Aim of the GameThe participant with the most points wins.

RulesSame regulation as in Activity 2. but add-on. minus. generation. and division of Numberss in scientific notation are used ; therefore. entries on the Scoresheet should be Numberss expressed in scientific notation. ES I–Math & gt ; Biongcog ; MT 1 = & gt ; Lauron ; MT 1 = & gt ; Tubin ; HT 3 = & gt ; Torbeso ; MT 1 = & gt ; Berna MT 2= & gt ; Gonzaga ; T2= & gt ; Perez

20 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

Activity

12:

Log – a – DAMATH

A game for two participants.

What you needSame stuffs as in Activity 11 ( common logarithm ) or as in Activity 10 ( for logarithms and trigonometric map ) . as the instance possibly. depending player’s understanding.

What it is aboutIt is a game of common logarithms ; logarithms of trigonometric maps ; and indicate plotting.

Aim of the GameLapp as in Activity 11 or Activity 10. as the instance possibly.

RulesLapp regulations as in Activity 11 or Activity 10. as the instance possibly. depending on the player’s understanding. but common logarithms and logarithms of trigonometric maps are used. severally. Thus. entries on the Scoresheet should hold common logarithms or logarithms of trigonometric maps. as the instance maybe/

21 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

A. GAMES FOR DAMATHS COMPETITIONS:Levels Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Grades Grades I – II Grades III – IV Grades V – VI First Year Second Year Third Year Fourth Year Contents Counting Numbers Whole Numbers Positive Fractions Integers Signed Fractions Radical Damath Polynomial Damath

B. POSITIONS OF CHIPS: ( Elementary Level )Level 1 2 3 4 5 6 7 8 9 10 11 12 CHIP NUMBERS I Level II Level III 0 1/10 1 2/10 2 3/10 3 4/10 4 5/10 5 6/10 6 7/10 7 8/10 8 9/10 9 10/10 10 11/10 11 12/10 BLUE CHIPS ( 1. 2 ) ( 3. 2 ) ( 5. 2 ) ( 7. 2 ) ( 0. 1 ) ( 2. 1 ) ( 4. 1 ) ( 6. 1 ) ( 1. 0 ) ( 3. 0 ) ( 5. 0 ) ( 7. 0 ) Red CHIPS ( 6. 5 ) ( 4. 5 ) ( 2. 5 ) ( 0. 5 ) ( 7. 6 ) ( 5. 6 ) ( 3. 6 ) ( 1. 6 ) ( 6. 7 ) ( 4. 7 ) ( 2. 7 ) ( 0. 7 )

POSITIONS OF CHIPS: ( Secondary Level )CHIP 1st Year 0 -1 2 -3 4 -5 6 -7 8 -9 10 -11 2nd Year 0/10 -1/10 2/10 -3/10 4/10 -5/10 6/10 -7/10 8/10 -9/10 10/10 -11/10 Numberss 3rd Year 4v18 -v8 16v32 -9v2 36v32 -25v18 64v2 -49v8 100v2 -81v32 144v8 -121v18 4th Year 6x -xy2 10y -3x2y 28y -15x 36x2y -21xy2 66x2y -45y 78xy2 -55x For 4th Year Merely. Blue & A ; Red Chips

BLUE CHIPS ( 5. 2 ) ( 3. 2 ) ( 7. 2 ) ( 1. 2 ) ( 4. 1 ) ( 2. 1 ) ( 6. 1 ) ( 0. 1 ) ( 5. 0 ) ( 3. 0 ) ( 7. 0 ) ( 1. 0 )

Red CHIPS ( 2. 5 ) ( 4. 5 ) ( 0. 5 ) ( 6. 5 ) ( 3. 6 ) ( 5. 6 ) ( 1. 6 ) ( 7. 6 ) ( 2. 7 ) ( 4. 7 ) ( 0. 7 ) ( 6. 7 )

22 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________

POSITIONS OF CHIPS: ( Secondary Level )Degree 4 CHIP Level 5 NUMBERS Level VI Level VII -1 1. 1 X 10 0 2 2. 2 X 10 1 3. 3 Ten 10-3 2 4 4. 4 X 10 3 5. 5 Ten 10-5 4 6 6. 6 X 10 5 7. 7 Ten 10-7 6 8 8. 8 X 10 7 -9 9. 9 X 10 8 1. 01 X 10 10 9 -11 1. 111 X 10 10 1. 212 X 10 12 11 BLUE CHIPS ( 1. 2 ) ( 3. 2 ) ( 5. 2 ) ( 7. 2 ) ( 0. 1 ) ( 2. 1 ) ( 4. 1 ) ( 6. 1 ) ( 1. 0 ) ( 3. 0 ) ( 5. 0 ) ( 7. 0 ) Red CHIPS ( 6. 5 ) ( 4. 5 ) ( 2. 5 ) ( 0. 5 ) ( 7. 6 ) ( 5. 6 ) ( 3. 6 ) ( 1. 6 ) ( 6. 7 ) ( 4. 7 ) ( 2. 7 ) ( 0. 7 )

General Guidelines on DAMATHS Century Match1. First participant is determined by pulling tonss. 2. Basically the regulation in playing Dama shall be used as follows: a. A “chip with numeral” moves diagonally frontward to an bordering vacant square. B. A bit takes an opponent’s bit or french friess diagonally frontward or rearward.

Mathematical operation such as add-on minus. generation. or division of numbers shall be used depending on the vacant square’s operation symbol where the “taker” bit lands by leaping over the “taken” bit. “pass” is non allowed. c. On taking a bit or french friess the undermentioned policy shall predominate: * “mayor dalawa” * “mayor tatlo” * “mayor dama” * “mayor Dama dalawa” ( x ) takes 0 VS ( x ) takes 0 VS ( x ) takes 0 VS ( Dama ) takes 0 ( Y ) takes 1. takes 2 ( Y ) takes 1. takes 2. and takes 3 ( Dama ) takes 1 VS ( x ) takes 1. takes 2 over city manager Dama.

d. A player’s bit is declared as “dama” if it reaches the other player’s designated “dama” locations or squares. A dama bit can travel or take a piece to any unoccupied square along the diagonal way. Furthermore. when a “dama” takes a bit the mark is doubled ; when the “dama” is taken the mark is besides doubled ; when a “dama” takes another “dama” the mark is quadrupled. e. In taking more than one bit. the “taker” bit shall stay as the initial addend. minuend. multiplicand. or dividend as the instance possibly.

( This means that MDAS for multiple operations shall non use in this instance ) . f. A “move” is good merely for one ( 1 ) minute. while the game’s continuance shall non transcend 20 proceedingss. g. The staying french friess shall be added to the several participants. h. The game ends when any one of the undermentioned state of affairss occur:

23 Cebu Province Division = & gt ; Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________ 1. ) a participant has no more bit to travel 2. ) 20-minute game continuance had elapsed 3. ) insistent “moves” of any or both participants.

I. The participant holding the greater “total score” wins the game. In instance of a “tie” . a 10-minute replay follows thenceforth untill a victor is declared.J. No participant is allowed to vie in a degree lower than the one specified for his class degree. k. In playing. the “TOUCH-MOVE SYSTEM” is used. Once a participant “touches” a bit. it is imperative that he uses that bit for that peculiar move. l. A move is considered concluding one time a participant releases the bit. and he can non alter his move after he has released the bit. m. The usage of reckoner is recommended. n. All participants in each degree are ranked harmonizing to their several figure of games won to find the victors. In instance of a “triple tie” . the “the point-system” is used.

Guidelines for Electrodamaths1. ElectroDamaths is similar to Damath the whole Numberss with certain fluctuations as follows: a. ) Odd Numberss expressed in KWH b. ) Even Numberss expressed in Pesos. except ( 0 ) nothing. 2. Sample in marking: Chips + like Units + like Units + unlike Units – like Units – like Units – unlike Units ? like Units ? like Units ? unlike Units ? like Units ? like Units ? unlike Units Plus the staying french friess

Move KWH 8 NS NS NS NS NS NS NS NS NS NS NS 18 NS

3 kwh + 5kwh P 2 + P 10 7 kwh + P 4 5 kwh – 9 kwh P6-P0 7 kwh – P 4 3 kwh ? 5kwh P6?P2 7 kwh ? P 4 3 kwh ? 5kwh P 2 ? P 10 7 kwh ? P 4 7 kwh + 11kwh P4+P8

Mark fca in Pesos NS 12 NS NS 6 NS NS NS NS NS NS NS NS 12 26 kwh ? P4/kwh = & gt ;

Entire Score KWH fca in Pesos 8 12 8 12 8 12 8 18 8 18 8 18 8 18 8 18 8 18 8 18 8 18 26 26 18 30

Entire kwh ? predominating rate at the locale TOTAL ELECTRIC CONSUMPTION

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