Mary Behr Altieri P/NW BOCES SW BOCES

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Damian Wood
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1 Mary Behr Altieri P/NW BOCES SW BOCES

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3 The Solution Game Purpose: Mental math practice, use of properties of operations to solve problems. Materials: One deck of regular playing cards with picture cards removed. Set-up: The cards are placed in a stack at the center of the table (face-down). Five cards are removed from the stack, one at a time, and placed in a row face- up. A sixth card is removed from the stack and placed face up below the row of five. This card is called the solution card. Object of the Game: Find a path to the solution card using as many cards in the row as possible with any arithmetic operations. (Each card may be used only once.) Play: The first person to see a possible path to solution says, SOLUTION and tells the rest of the group what his/her path is. If he or she is correct, he/she wins the cards used for the path to solution AND the solution card itself. Replace all cards that have been taken (won) by new cards from the center stack. Play continues in this fashion until no cards are left. The player with the most cards at then end of the game is the winner. Variations: Use all the cards from ace through 6 and only half the cards from This makes the game a little easier. Require a minimum number of cards used for solution. Only solutions using at least three (or four, or five) cards is accepted. Create a deck of cards as follows. Make 3 cards for each of the numbers from 1 through 8; 2 cards for each of the numbers from 9 through17; and one card for each of the numbers from 18 through 25. (This last variation is based on a card game called KRYPTO. For decks already printed like this, buy the KRYPTO deck from a company called, Making People Happy at makingpeoplehappy.com. There is also a fraction supplement to the regular deck. ) The variations allow for differentiation. Small groups can be playing different versions at the same time.

4 FROM HERE TO THERE These games are rather quick ones that provide practice in counting by various units. There are some strategies involved that become rather sophisticated but knowing the strategies is not required to play the games. Strategy just enhances the chance of a win. They are all two-player games. Game One: Getting to 100. Each player starts with ten dimes and ten pennies. Players take turns contributing one, two or three coins to the pot. On placing the coins in the pot, the player calls out the cumulative total after each coin s/he places. The person who puts in the coin to make the total value of the pot exactly one dollar is the winner. (Each player must place at least one penny in the pot during the course of the game which keeps it from being just a game of dimes and counting by tens.) Variations on this game: Play on a one-hundred chart that is big enough to place the coins right on the chart. Both players are placing their coins on the same chart. Play on a one-hundred chart by crossing out the numbers that are called. Each player uses a different color crayon and are crossing out the numbers are the same chart. With only plain or lined paper, write the numbers underneath each other in a list, each player using a different color, playing on the same list--again writing one, two or three numbers. Each of the games above practices counting by tens and ones, which is a valuable skill for all elementary students. The younger ones need to have reinforced the idea that when adding tens, the number in the ones place does not change. Although we may think this is obvious, to many of our students it is not and is worth discussion. Game Two: Getting to 1,000. This game is played without coins. Students play as in the third variation of game one, placing numbers on a list in two different colors. Players may choose to add one, two or three numbers, using ones, tens and hundreds. The player who is able to place exactly 1,000 on the list is the winner. Variations on this game: Start at a number greater than one and have the target number be greater than 1,000. Make the counting units 25, 50 and 100. Play with decimals rather than whole numbers (tenths, hundredths). Play with fractions (quarters and halves). Mary Altieri, 2007

5 All of these games are variations on an original game where the units are all the same. The first one I saw was played with twelve toothpicks. Players on alternate turns pick up one or two toothpicks on a turn. The person to pick up the last toothpick was the winner (or the loser). Playing this simpler game can help us develop generalized winning strategies for all such games. More Variations for From Here to There The first two variations come from: Trimathlon, by Sally & Sally. 1. Race to 100 There are many games with this title, but I found this one more interesting than most It is played the same as the basic game introduced in From Here to There, but in this game each player can choose any number from 1 to 10 to put in the pot. This game is just played with pencil and paper or even just verbally. (Not so easy for the young ones think of all the practice they can get adding one digit numbers to two digit numbers very often bridging a ten) 2. Sally & Sally have also suggested changing the range of numbers on each round of the game. On a first round, each player can choose a number between 1 and 10 to add. On the next time around, each player can choose a number between 1 and 11; the next round between 1 and 12. Alternately, decreasing the range of the numbers players can choose adds another possible variation. Mary Altieri, 2010

ThankyouforparticipatingintheKenKenClassroomProgram TherearemanywaystouseKenKenwithyourstudents,includingplaying interactivelyonlineorusinglargerpuzzlesforteamworksolving. TABLEOFCONTENTS 3x3.

6 ThankyouforparticipatingintheKenKenClassroomProgram TherearemanywaystouseKenKenwithyourstudents,includingplaying interactivelyonlineorusinglargerpuzzlesforteamworksolving. TABLEOFCONTENTS 3x Page2 4x Page3 5x Page4 6x Page5 7x7,8x8... Page6 BonusPuzzle....Page7 Rules..Page8 AnswerKey...Page9 THISWEEK SKENtertainment,, Sweet Tooth A piece of cake and an ice cream sundae cost two and a half dollars ($2.50) between them, but the cake costs a dollar more than the sundae. How much does each cost? Play free games at Findthesolutionatthebottomoftheanswerkey. For more KenKen of all sizes and difficulty levels, visit 1 KenKen is a registered trademark of Nextoy LLC, KenKen Puzzle LLC. All rights reserved. This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. To view a copy of the license visit

7 3x For more KenKen of all sizes and difficulty levels, visit 2

8 4x4 For more KenKen of all sizes and difficulty levels, visit

9 5x5 For more KenKen of all sizes and difficulty levels, visit

10 6x For more KenKen of all sizes and difficulty levels, visit 5

11 7x7,8x For more KenKen of all sizes and difficulty levels, visit 6

12 BonusPuzzle ThereareseveralwaystoenjoyKenKen.Trythisvariant KenKenTwist:Insteadofusingthenumbersfrom1tothesizeofthegrid,usethe numbersindicatedatthetoprightofthepuzzle. For more KenKen of all sizes and difficulty levels, visit 7

RULES HOWTOPLAYKENKEN 1. Fillineachsquarewithasinglenumber.Ina3x3grid,usethenumbers1 through3.ina4x4grid,usethenumbers1through4.ina5x5grid,usethe numbers1through5 andsoon. 2.

13 RULES HOWTOPLAYKENKEN 1. Fillineachsquarewithasinglenumber.Ina3x3grid,usethenumbers1 through3.ina4x4grid,usethenumbers1through4.ina5x5grid,usethe numbers1through5 andsoon. 2. Donotrepeatnumbersinanyindividualroworcolumn.Forexample,ina 3x3grid,eachcolumnandeachrowshouldbefilledinwiththenumbers1, 2,and3,withnoduplication. 3. Eachheavilyoutlinedsetofsquaresiscalleda cage. Thenumbersineach cagemustcombine(inanyorder)toproducethetargetnumberindicated inthetopcornerbyusingthemathematicaloperationnexttothetarget number. 4. Anumbermayberepeatedwithinacageaslongasitisnotinthesamerow orcolumn. HINTS 1. Firstfillinsingleboxcages,called freebies, withthenumberinthetopleft corner. 2. Notethecandidates(allpossiblenumbersforeachsquare)foreach remainingsquareandthendeterminethecorrectnumbersbymath,logic, andprocessofelimination. 3. Eachpuzzlehasoneuniquesolution. Hello,I mlulu,thekenkenguru. DidyouknowtheJapaneseword, Kengaeru,means tothink? For more KenKen of all sizes and difficulty levels, visit 8

ANSWERKEY 1-1 1-2 1-3 1-4 1-5 1-6 1-7 1-8 1-9 1-10 1-11 1-12 1-13

14 ANSWERKEY Bonus Puzzle: ; ; ; This Week s Kentertainment: ; ; ; Sweet Tooth Cake = $1.75 Sundae = $0.75 For more KenKen of all sizes and difficulty levels, visit 9

15 KEN KEN FOR THE CLASSROOM Any educator can join for FREE at

16 Mary Behr Altieri P/NW BOCES and SW BOCES Thank you for coming. Enjoy the rest of your conference

FROM HERE TO THERE. They are all two-player games.

FROM HERE TO THERE. They are all two-player games. FROM HERE TO THERE These games are rather quick ones that provide practice in counting by various units. There are some strategies involved that become rather sophisticated but knowing the strategies is