Friday, June 7, 2019

Cebu Province Division Essay Example for Free

Cebu country office EssayIntroduction DAMATH, a patent-pending mathematical board- bet on invented by five-time national awardee Jesus L. Huenda, is coined from the common Filipino checkerboard feisty of genus Dama, (or lady in Spanish) and mathematics. It started in a Sorsogon issue senior high School class in Sorsogon, Philippines and its popularity spread quickly 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 introduce DAMATH to secondary math teachers as part of a requirement of his work as PASMEP Fellow at Curtin University / WACAE, Western Australia. Thus if this material, or part of it, is usaged commercially or other (except for classroom instruction purposes), permission must be secured in writing from him. By the expressive style, DAMATH is part of the inventors position paper, Non-formal mathematics education the Sorsogo n National High School experience, delivered at the 1978 First Southeast Asian Conference on mathsematical Education, PICC, manilla 1979 and 1980 MTAP national conventions at Legaspi City and Quezon City, respectively. 1981, 1983 and 1988 Philippine Expositions, PHILTRADE, Manila conference, Mandurah, WA Australian Association of mathematics Teachers 13th biennial national conference, Hobart.Rationale It is becoming a growing classroom practice in galore(postnominal) school subjects, including mathematics, to use games to promote the understanding of concepts and skills. This practice is supported by child psychologist Piaget and Inhelder (1969) and Kohlberg (1969) who are convinced that affective, cognitive, and social development strongly influence atomic number 53 another and develop along parallel lines. There are info to support this statement.Thus, the use of socially interactive mathematical games in learning and principle mathematics is credible.Objectives 1. To integ rate the Filipino checkerboard game of dama into the teaching of mathematical concepts and skills. 2. To encourage the utilization of recycled materials in constructing damath board set (for classroom use only). 3. To analyze damath as a possible subject of mathematical investigations. 4. To enhance wholesome interpersonal relations among learners. 5. To promote mathematical consciousness among, family members in bad-tempered and the community in general through the mathematics clubs community outreach damath competitions. 6. To promote awareness of girls in mathematics as king is to the game of chess, so dama (or lady) is to damath ES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez2 Cebu Province Division = Damath Seminar workshop 1998 10-13-2008 ______________________________________________________________________________Teachers NotesAny game can be trivial or worth plot. It all depends on the doers of the game and when and why. Feedba ck from teachers who have time-tested damath is encouraging because they have found it appropriate, fun, and useful in their classes. each(prenominal) 12 games are to be played in pairs. Students learning mathematics in this way have been found to associate mathematics with wholesome and purposeful work. These games may introduce, supplement, reinforce or refresh concepts, skills and attitudes.To get the close out of damath, read the come with guide sheet and list of materials needed. Determine what extra work can be assigned to pairs of students who will carry out the action mechanism. As a run through activity, some mathematical investigations concerning damath may be assigned to small groups of students, or mathematics club may conduct community-outreach damath competitions highlighting awareness of girls in mathematics. In doing so, observe students performance and reactions and record them in a cognitive skill checklist and attitude respectively.This, together with your a ssessment, will provide you with significant data for future reference. The inventor welcome suggestions from teachers in the field by sending it to Jesus L. Huenda, Curriculum Development Division, Bureau of Secondary Education, Department of Education, Culture and Sports, Palacio delG everyplacenador, Intramuros, Manila. Suggestions and foreplay can be mailed to him using the pastime form (See next page).TO THE STUDENTSIn DAMATH, there are 12 games to play. All of these games are original in particular designed for you to make you do and play mathematics, have fun with it in thinking, making a game plan, and using your common sense, honesty and fair play.Do them and learn mathematics.Do them and enjoy yourself, too.ES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez3 Cebu Province Division = Damath Seminar shop class 1998 10-13-2008 ______________________________________________________________________________Name of the game ________ ___________________ School____________________________ Senders Name (Optional)_____________________ Address___________________________ What I like in the game Areas for improvementGuide 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 barmy Lady Byte-a-Damath Damath a la Mod trig-a-Damath Sci-No-Damath Log-a-Damath Concept Integers Counting numbers game racket Whole numbers Fractions decimals Prime numbers Fibonacci sequence Binary numbers Modulo 12 Trigonometric Functions scientific Notation Logarithmic function Place in the Curriculum Review activity for Units 3 8 List of Materials Damath board set (See attachment A)Enrichment activity for Units 3 8Enrichment activity for Unit 2 Introductory activity for Unit 5 Enrichment activity for Unit 6ES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez4 Cebu Province Division = Damath Seminar shop clas s 1998 10-13-2008 ______________________________________________________________________________DAMATH 12 games for High School Mathematics Contents Of This Package natural process sheets for students for each of the following titles operation occupation 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-DamathRulesHow to S T A R T24 stoppages should be placed first on the following squares on the DAMATH board Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez5 Cebu Province Division = Damath Seminar workshop 1998 10-13-2008 ______________________________________________________________________________How to make a move1. Toss a coin to decide who moves first. 2. The first pseudo moves a paper by sliding diagonally forth to an close inert square (no hindrance is tobe placed on colored squares). Record your move in the worksheet. Example crimson player moves -1 to an adjoining vacant square ( 5 , 4 ), thus, to the scoresheet the player writes on the first column under the heading Move with -1 (5,4) to mean -1 goes to a square laid 5 on its x-axis and 4 on its y-axis. 3. The deuce players alternately experience turn in moving a piece.How to take a piece (Ka-on)1. In the example above, going player with piece -1 is required ( ease up is not allowed) to take a piece 2 of Blue side by jumping over the piece to be taken and landing on the latters adjoining vacant square, which, also, determine the symbol of operation to be used.Example -1 takes 2 by jumping over it (player gets the piece 2) and finally lands on a square (7,2) which has minus sign on it. Thus, on the scoresheet, the player writes on the first column with -1 2. Moreover, on the second column under the heading Score, the player writes the answer as -3. While on the tertiary column under the heading Total Score, the player writes the total score by adding whatever points in it, thus, -3. Round off numbers, if necessary. 2. A player can take one chip or more than one chip with the required option to take the great number of chips. 3. A Red chip is declare as dama if it reaches any of the following 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 declare as dama it could slide diagonally forward or backward in any vacant square provided no opposing piece blocks it. It could take a piece or pieces and have the privilege of doubling its scores. 5. The game is ended it (a.) a player has no more piece to move or, (b.) it is unacceptable for any or both players to go on because of repeated move.ES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez6 Cebu Province Division = Damath Seminar workshop 1998 10-13-2008 ______________________________________________________________________________In (a) or (b), the remaining piece or pieces are added to the total score. Finally, the player with the greater accumulated total, wins the game.How to scoreShown below is a Damath Scoresheet. Initial entries on it were taken from the above examples of players 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) Score Total BluePlayers SignaturePlayers SignatureSignature of Teacher / ParentSignature of Teacher / ParentWinLossWinLossES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez7 Cebu Province Division = Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________Activity1DAMATHtheTeeny IntegerA game for two players.What you need* DAMATH board ( 8 squares by 8 squares ) 24 chips in two colors ( 12 of each color, thus, 0, -1, 2, -3, 4, -5, 6, -7, 8, -9, 10, -11 ) For illustration, see attachment A of this Package.What it is nighIt is a game of addition, subtraction, multiplication and division of integers, rounding off numbers, and point plotting. ram of the GameThe player with the most points wins.ES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez8 Cebu Province Division = Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________Activity2Countess DAMATHA game for two players.What you need very(prenominal) materials as in Activity 1, only on the reverse side of chip no. 0 write chip no. 12.What it is aboutIt is a game of adding, subtracting, multiplying, and dividing counting numbers rounding off numbers, and point plotting. take on of the GameThe player with the most points wins.ES IMath Biongcog MT 1 =Lauron MT 1 =Tubi n HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez9 Cebu Province Division = Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________Rules equal rules as in Activity 1, and the 0 chip is replaced by 12 12 is on the reverse side of 0 chip and, forbid signs have to be disregarded. Thus, initial positions of the chips are as followsChip Number 1 2 3 4 5 6 7 8 9 10 11 12 fix 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 chip or chips, addition, subtraction multiplication, and division of counting numbers are used. Round off numbers, if necessary, in making entries on the scoresheet.ES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez10 Cebu Province Division = Damath Seminar Workshop 1998 10-13-2008 _______________________________________________ _______________________________Activity3DAMATH in a WholeA game for two players.What you need corresponding materials as in Activity 1What it is aboutIt is a game of adding, subtracting, multiplying and dividing Whole numbers rounding off numbers, and point plotting. bugger off of the GameThe player with the most points wins.ES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez11 Cebu Province Division = Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________RulesSame rules as in Activity 2, still the 12 chip is replaced by 0 0 is on the reverse side of 12 chip and, negative signs have to be disregarded. Thus, initial positions of the chips are as followsChip Number 0 1 2 3 4 5 6 7 8 9 10 11Position 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 ta king a chip or chips, addition, subtraction multiplication, and division of whole numbers are used. Round off numbers, if necessary, in making entries on the Scoresheet.ES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez12 Cebu Province Division = Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________Activity4DAMATH Over UA game for two players.What you needSame materials as in Activity 1, but the positive and negative numbers should have 10 as denominator (use reverse side of chips).What it is aboutIt is a game of adding, subtracting, multiplying and dividing fractions and point plotting.Aim of the GameThe player with the most points wins.RulesSame rule as in Activity1, but adding, Subtracting, multiplying and dividing fractions are used, thus, all entries on the Scoresheet are fractions. ES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez1 3 Cebu Province Division = Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________Activity5Busy DeciDAMATHA game for two players.What you needSame materials as in Activity 4, but decimal equivalent should take the place of fractions.What it is aboutIt is a game of adding, subtracting, multiplying and dividing decimals and point plotting.Aim of the GameThe player with the most points wins.RulesSame rule as in Activity 4, but instead of fractions, the decimal equivalents are added, subtracted, multiplied, and divided. In taking a chip or chips, results of mathematical operations are rounded off to the nearest hundredths. ES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez14 Cebu Province Division = Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________Activity6DAMATH the Odd Prime MadonnaA game for two players.What you n eedSame materials as in Activity 1What it is aboutIt is a game of prime numbers integers squaring numbers rounding off numbers and point plotting.Aim of the GameThe player with the most points wins.RulesSame rule as in Activity 1, but in taking a chip or chips the results of algebraic operations are squared if it is an odd prime number. ES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez15 Cebu Province Division = Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________Activity7DAMATH the Fibo Nutty LadyA game for two players.What you needSame materials as in Activity 2What it is aboutIt is a game using the Fibonacci sequence counting numbers Cubing numbers rounding off numbers and point plotting.Aim of the GameThe player with the most points wins.RulesSame rule as in Activity 2, but in taking a chip or chips the results of mathematical operations are cubed if it is a Fibonacci num ber.ES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez16 Cebu Province Division = Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________Activity A game for two players.8Byte a DAMATHWhat you needSame materials as in Activity 3, but even numbers are to be considered as 0, while odd numbers as 1.What it is aboutIt is a game of adding, subtracting, multiplying and dividing binary numbers and point plottingAim of the GameThe player with the most points wins.RulesSame rule as in Activity 3, but in taking a piece or pieces binary arithmetic is used. Thus, initial positions of no-good and red chips are as follow Chips 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)ES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez17 Cebu Province Division = Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________Activity A game for two players.9DAMATH a la ModWhat you needSame materials as in Activity 3What it is aboutIt is a game of addition, subtraction, multiplication and Division in module 12 and point plotting.Aim of the GameThe player with the most points wins.RulesSame rule as in Activity 3, but in taking a piece or pieces binary arithmetic is used. Thus, initial positions of blue and red chips are as follow Chips 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)ES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez18 Cebu Province Division = Damath Seminar Workshop 1998 10-13-2008 ________________________ ______________________________________________________Activity A game for two players.10 Trig a DAMATHWhat you needSame materials as in Activity 1, but the following integers should have the Corresponding trigonometric functions by changing them to degrees Chips in degrees -1 and 10 -3 and 8 -5 and 6 -7 and 4 -9 and 2 11 and 0 Trigonometric Functions Sin romaine lettuce Tan Cot Sec CscWhat it is aboutIt is a game using trigonometric functions trigonometric identi fetters changing degrees to radians and vice versa and point plotting.Aim of the GameThe player with the most points wins.RulesSame rule as in Activity 1, but in taking a piece or pieces (this time, integers are expressed in degrees) trigonometric functions and identities are used. Thus, initial positions of blue and red chips are as follow Chips in degrees Position of Blue Chip Position of Red Chip Csc 0 (5,2) (2,5) Sin 1 (3,2) (4,5) Sec 2 (7,2) (0,5) Cos -3 (1,2) (6,5) Cot 4 (4,1) (3,6) Tan 5 (2,1) (5,6) Tan 6 (6,1) ( 1 , 6) Cot 7 (0,1) (7,6) Cos 8 (5,0) (2,7) Sec 9 (3,0) (4,7) Sin 10 (7,0) (0,7) Csc -11 (1,0) (6,7)ES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez19 Cebu Province Division = Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________Activity A game for two players.11 Sci no DAMATHWhat you needSame materials as in Activity 2, but the integers are raised to their corresponding Powers as follows. Chips 1 2 3 4 5 6 7 8 9 10 11 12 express in Scientific Notation 1.1 x 10-1 2.2 x 10 2 3.3 x 10-3 4.4 x 10 4 5.5 x 10-5 6.6 x 10 6 7.7 x 10-7 8.8 x 10 8 9.9 x 10-9 1.01 x 10 10 1.11 x 10-11 1.212 x 10 12What it is a boutIt is a game of adding, subtracting, multiplying and dividing numbers in scientific notation and point plotting.Aim of the GameThe player with the most points wins.RulesSame rule as in Activity 2, but addition, subtraction, multiplication, and division of numbers in scient ific notation are used thus, entries on the Scoresheet should be numbers expressed in scientific notation. ES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez20 Cebu Province Division = Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________Activity12 Log a DAMATHA game for two players.What you needSame materials as in Activity 11 (common logarithm) or as in Activity 10 ( for logarithms and trigonometric function), as the case maybe, depending players agreement.What it is aboutIt is a game of common logarithms logarithms of trigonometric functions and point plotting.Aim of the GameSame as in Activity 11 or Activity 10, as the case maybe.RulesSame rules as in Activity 11 or Activity 10, as the case maybe, depending on the players agreement, but common logarithms and logarithms of trigonometric functions are used, respectively. Thus, entries on the Scoresheet should have common log arithms or logarithms of trigonometric functions, as the case maybe/ES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez21 Cebu Province Division = Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________A. GAMES FOR DAMATHS COMPETITIONS aims train 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 triplet Year Fourth Year Contents Counting Numbers Whole Numbers Positive Fractions Integers Signed Fractions Radical Damath Polynomial DamathB. POSITIONS OF discontinueS ( 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 NUMBERS tertiary Year 418 -8 1632 -92 3632 -2518 642 -498 1002 -8132 1448 -12118 4th Year 6x -xy2 10y -3x2y 28y -15x 36x2y -21xy2 66x2y -45y 78xy2 -55x For 4th Year Only, Blue Red ChipsBLUE 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)ES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez22 Cebu Province Division = Damath Seminar Workshop 1998 10-13-2008 ______________________________________________________________________________POSITIONS OF CHIPS ( Secondary Level )Level 4 CHIP Level 5 NUMBERS Level VI Level VII -1 1.1 X 10 0 2 2.2 X 10 1 3.3 X 10-3 2 4 4.4 X 10 3 5.5 X 10-5 4 6 6.6 X 10 5 7.7 X 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 C HIPS (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 player is determined by plan lots. 2. Basically the rule in playing dama shall be used as follows a. A chip with numeral moves diagonally forward to an adjoining vacant square. b. A chip takes an opponents chip or chips diagonally forward or backward.Mathematical operation such as addition subtraction, multiplication, or division of numerals shall be used depending on the vacant squares operation symbol where the taker chip lands by jumping over the taken chip, pass is not allowed. c. On taking a chip or chips the following policy shall prevail * 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 mayor dama.d. A players chip is declared as dama if it reaches the other players designated dama locations or squares. A dama chip can move or take a piece to any unoccupied square along the diagonal path. Moreover, when a dama takes a chip the score is doubled when the dama is taken the score is also doubled when a dama takes another dama the score is quadrupled. e. In taking more than one chip, the taker chip shall remain as the initial addend, minuend, multiplicand, or dividend as the case maybe.(This means that MDAS for multiple operations shall not apply in this case). f. A move is good only for one (1) minute, while the games duration shall not exceed 20 minutes. g. The remaining chips shall be added to the respective players. h. The game ends when any one of the following situations occurES IMath Biongcog MT 1 =Lauron MT 1 =Tubin HT 3 =Torbeso MT 1 = Berna MT 2=Gonzaga T2=Perez23 Cebu Province Division = Damath Seminar Workshop 1998 10-13-2008 ______________________________________________ ________________________________ 1.) a player has no more chip to move 2.) 20-minute game duration had elapsed 3.) repetitive moves of any or both players.i. The player having the greater total score wins the game. In case of a tie, a 10-minute rematch follows thereafter untill a winner is declared.j. No player is allowed to compete in a level lower than the one specified for his grade level. k. In playing, the TOUCH-MOVE SYSTEM is used. Once a player touches a chip, it is imperative that he uses that chip for that particular move. l. A move is considered final once a player releases the chip, and he cannot change his move after he has released the chip. m. The use of calculator is recommended. n. All players in each level are ranked according to their respective number of games won to determine the winners. In case of a triple tie, the the point-system is used.Guidelines for Electrodamaths1. ElectroDamaths is similar to Damath the whole numbers with certain variations as follows a. ) Odd numbers expressed in KWH b.) Even numbers expressed in Pesos, except ( 0 ) zero. 2. Sample in scoring Chips + like Units + like Units + contrasted Units like Units like Units unlike Units like Units like Units unlike Units like Units like Units unlike Units Plus the remaining chipsMove KWH 8 NS NS NS NS NS NS NS NS NS NS NS 18 NS3 kwh + 5kwh P 2 + P 10 7 kwh + P 4 5 kwh 9 kwh P6-P0 7 kwh P 4 3 kwh 5kwh P6P2 7 kwh P 4 3 kwh 5kwh P 2 P 10 7 kwh P 4 7 kwh + 11kwh P4+P8Score fca in Pesos NS 12 NS NS 6 NS NS NS NS NS NS NS NS 12 26 kwh P4/kwh =Total 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 30Total kwh prevailing rate at the venue TOTAL ELECTRIC CONSUMPTION

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