John Felling - Box Cars and One

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)