Box Cars and One-Eyed Jacks MIDDLE YEARS CATCH UP MATH GAMES THAT ENGAGE THE BRAIN John Felling RAISING STUDENT ACHIEVEMENT ST. CHARLES, ILLINOIS December 8-9, 2014 [email protected] phone 1-866-342-3386 / 1-780-440-6284 fax 1-780-440-1619 boxcarsandoneeyedjacks.com BoxCarsEduc BoxcarsEducation 100 Board Wipe Out Level: Grade 3 and up Skills: Multi-operations ( + - x ÷ √ X2 ), Order of Operations Players: 2-3 players working together as a team Equipment: Dice Tray, pencil, recording sheet per player/team Objective/Goal: To make equations for 1-100 in fewest rolls Getting Started: Team One decides whether to roll 3, 4 or 5 dice and records the roll in the Roll 1 space on the recording sheet. Team One then creates math sentences using the numbers rolled that have the numbers 1-100 as answers. They record each math sentence on the recording sheet in the space for the answer. Each math sentence must use each number rolled. For example, if 4, 4, 2 and 6 are rolled then each math sentence must contain 4, another 4, 2 and 6. Once the team has exhausted all the possibilities for Roll 1, they can take Roll 2. At the beginning of each roll, the team can decide to roll 3, 4 or 5 dice. In other words, they don’t always have to roll the same number of dice for every roll. Example: The team rolled 4, 4, 2 and 6 and made the following math sentences, (utilizing the rules for Order of Operations where necessary - see examples with answers = 10 and = 12): 4 x 4 x 2 + 6 = 38 (6 – 4 + 4) x 2 = 12 6 – 4 + 4 x 2 = 10 42 x 4 + 6 = 70 etc In the examples, the team first rolled 4 dice and using those numbers, made equations for 30 answers before rolling a second time. For the second and third rolls, they rolled 5 dice and had written math sentences for 61 answer before the math period ended (they said they could have kept going). Variation: (1) Teams can use dice other than regular spotted dice, such as 10-sided 0-9, 12-sided 1-12, 20-sided 1-20 or 30-sided 1-30 dice. (2) Teachers may place restrictions on equations to make it more challenging such as “Every math sentence must include at least one multiplication component”. 100 Board Wipe Out – Recording Sheet Team Members _______________ _______________ Roll One: __________ Roll Two: __________ Roll Five: __________ Roll Six: __________ _______________ Date: __________ Roll Three: __________ Roll Seven: __________ Roll Four: __________ Roll Eight: _________ = 1 = 2 = 3 = 4 = 5 = 6 = 7 = 8 = 9 = 10 = 11 = 12 = 13 = 14 = 15 = 16 = 17 = 18 = 19 = 20 = 21 = 22 = 23 = 24 = 25 = 26 = 27 = 28 = 29 = 30 = 31 = 32 = 33 = 34 = 35 = 36 = 37 = 38 = 39 = 40 = 41 = 42 = 43 = 44 = 45 = 46 = 47 = 48 = 49 = 50 = 51 = 52 = 53 = 54 = 55 = 56 = 57 = 58 = 59 = 60 = 61 = 62 = 63 = 64 = 65 = 66 = 67 = 68 = 69 = 70 = 71 = 72 = 73 = 74 = 75 = 76 = 77 = 78 = 79 = 80 = 81 = 82 = 83 = 84 = 85 = 86 = 87 = 88 = 89 = 90 = 91 = 92 = 93 = 94 = 95 = 96 = 97 = 98 = 99 = 100 Betweeners © Box Cars And One-Eyed Jacks. 4 Player Version – Highest doesn't win. Lowest doesn't win. The two between numbers win. Betweeners Variation of Betweeners From Math Attack © Box Cars And One-Eyed Jacks Concepts: Number Sense, Ordering Numbers (whole and decimal) Equipment: One 3inCube die / player Goal/Object: record a number that is between the highest and lowest for the round Traditional- Each player shakes their own 3inCube die and secretly looks at it, mentally determining the possible answers they could use. Each player then secretly records one of their possible answers. Once all the players have recorded their answer, they reveal it to the other players. All players copy all other players' answers onto their own score sheet. The answers are compared, lowest doesn't win, highest doesn't win, between number (or numbers if 4 player game) wins. Variations: (1) Players are allowed to create numbers with decimals meaning answers can range from 0.111 to 666. (2) Players create multi-operation math sentences trying to have the between answer example 3+2x1=5 (3) Players create mixed fractions example 3 2 1 makes 3½ or 1⅔ or 2⅓ 2 1 1 can only make 1½ (4) For simpler version of the game, each player can use a 1-12 die ( or 1-20 die/player or 1-30 die/player ) (5) Division: Make 2-digit number, divide it by the remaining number. (Rolled 2, 3, 5 made 35 ÷ 2 = 17.5)
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