Box Cars and One-Eyed Jacks
NUMBER LINES WRITE THE
SCORE FOR FRACTION PIECES
JOHN FELLING
CMC PALM SPRINGS
November 6-7, 2015
john@boxcarsandoneeyedjacks.com
phone 1-866-342-3386 / 1-780-440-6284
fax 1-780-440-1619
boxcarsandoneeyedjacks.com
BoxCarsEduc
BoxcarsEducation
FOR ELECTRONIC COPY OF HANDOUT WITH
MORE GAMES & RULES PLEASE EMAIL
handouts@boxcarsandoneeyedjacks.com
ORDER IN THE COURT
Reject Rolls
Reject Rolls
Reject Rolls
Reject Rolls
Reject Rolls
Reject Rolls
Use Double Sided Dice, 6-sided Dice, or 1-12 Dice
Goal: To get as many fractions in a row as possible
 Roll one die at a time. (Variation: You may roll all the dice at once and race your partner to line them up)
 Write the fraction into the chain or put into the reject boxes.
 Points are awarded at the end of 7 rolls. 1 point for each fraction in the chain.
 Use Fraction Circles or Fraction Bars to check accuracy.
2
Copyright Box Cars and One Eyed Jacks Inc.
3
One Twelfth
1/12 0.083 8%
One Eleventh
1/11 0.091 9%
One Tenth
1/10 0.10 10%
Two Elevenths
2/11 0.182 18%
Seven Twelfths
7/12 0.583 58%
Ten Twelfths
10/12 0.83 83%
Eleven Twelfths
11/12 0.92 92%
Twelve Twelfths
12/12 1.00 100%
Eleven Elevenths
11/11 1.00 100%
Ten Tenths
10/10 1.00 100%
Nine Ninths
9/9 1.00 100%
Eight Eighths
8/8 1.00 100%
Ten Elevenths
10/11 0.909 91%
Nine Tenths
9/10 0.90 90%
Eight Ninths
8/9 0.888 89%
Nine Elevenths
9/11 0.818 82%
Nine Twelfths
9/12 0.75 75%
Eight Elevenths
8/11 0.727 73%
Eight Twelfths
8/12 0.667 67%
Seven Elevenths
7/11 0.636 64%
Eight Tenths
8/10 0.80 80%
Seven Ninths
7/9 0.777 78%
Seven Tenths
7/10 0.70 70%
Six Ninths
6/9 0.666 67%
Six Tenths
6/10 0.60 60%
Six Elevenths
6/11 0.545 55%
Six Twelfths
6/12 0.50 50%
Five Elevenths
5/11 0.454 45%
Five Twelfths
5/12 0.417 42%
Four Elevenths
4/11 0.364 36%
Five Tenths
5/10 0.50 50%
Five Ninths
5/9 0.555 56%
Seven Eighths
7/8 0.875 87.5%
Seven Sevenths
7/7 1.00 100%
Six Sixths
6/6 1.00 100%
Five Fifths
5/5 1.00 100%
Four Fourths
4/4 1.00 100%
Three Thirds
3/3 1.00 100%
Six Sevenths
6/7 0.857 86%
Five Sixths
5/6 0.833 83%
Six Eighths
6/8 0.75 75%
Five Sevenths
5/7 0.714 71%
Four Sixths
4/6 0.666 67%
Two Halves
2/2 1.00 100%
Four Fifths
4/5 0.80 80%
Three Fourths
3/4 0.75 75%
Five Eighths
5/8 0.625 62.5%
Four Sevenths
4/7 0.571 57%
Three Fifths
3/5 0.60 60%
Two Thirds
2/3 0.666 67%
Four Eighths
4/8 0.50 50%
Four Ninths
4/9 0.444 44%
Four Tenths
4/10 0.40 40%
Four Twelfths
4/12 0.33 33%
Three Elevenths
3/11 0.273 27%
Three Tenths
3/10 0.30 30%
Three Twelfths
3/12 0.25 25%
Two Tenths
2/10 0.20 20%
Two Ninths
2/9 0.222 22%
Three Eighths
3/8 0.375 37.5%
Three Sevenths
3/7 0.429 43%
Three Ninths
3/9 0.333 33%
Two Sevenths
2/7 0.286 29%
Three Sixths
3/6 0.50 50%
Two Fourths
2/4 0.50 50%
Two Fifths
2/5 0.40 40%
Two Sixths
2/6 0.333 33%
Two Eighths
2/8 0.25 25%
Two Twelfths
2/12 0.166 17%
One Ninth
1/9 0.111 11%
One Eighth
1/8 0.125 12.5%
One Seventh
1/7 0.143 14%
One Sixth
1/6 0.166 17%
One Fifth
1/5 0.20 20%
One Fourth
1/4 0.25 25%
One Third
1/3 0.333 33%
One Half
1/2 0.50 50%
One Whole
1/1 1.00 100%
Copyright Box Cars And One-Eyed Jacks Inc.
Fractions Decimals Percents
Fractions “Cents”
copyright 2014 Box Cars And One-Eyed Jacks
Grades:
Concept:
Players:
Equipment:
Object / Goal:
Grade 6 and up
Converting fractions to equivalent percent or decimal, mental math, division, estimation
1 vs 1
Cards 1 to 12, Number Line 0-100, fraction/decimal/percent chart
Earn points by having the most accurate answer when converting a fraction to its decimal
or percent equivalent.
Set Up and Play:
Each player begins with a deck of about half the cards in the game. Play begins with each
player turning turn over the top card of their deck at the same time. Players count out loud “1, 2…5 POINT". While
they are counting, they are mentally arranging the cards into a “Proper Fraction (numerator/top smaller than or equal to
denominator/bottom), and estimating/calculating the percent equivalent and recording that on paper. When they say
“Point” each player places one finger on the number line at the number they think is correct (it is possible for both
players to be on the same point) and say what their answer is. They check their accuracy by referring to the Fraction
/Decimal /Percent chart or by using a calculator to divide the numerator by the denominator. If a player is the closest
or exactly correct, they collect the cards from that round and place them into their point pile. In the case of a tie both
players place the card they turned over into their point pile. If a player has not recorded an estimate, they automatically
lose the round.
Example: Player One turned over a 5 and Player Two turned over an 8. When they
said “point” Player One pointed to 63 and said “five eighths of 100% is 63%”. Player Two
pointed to 65 and said “five eighths of 100% is 65%. 5 divided by 8 is 0.625 (62.5%).
Player One was the closest and wins, placing both cards into their point pile.
Variation:
1. The number line is considered “1”. Players say the decimal equivalent when they
voice their answer. In the example, Player One would have pointed to 63 and said
“Five eighths of one is 0.63”. Player Two would have pointed to 65 and voiced
“Five eighths of one is 0.65”. Exact answer is 0.625, Player One wins.
2. The number line is considered 100%. Players say the percent equivalent when they
Voice their answer. In the example, Player One would have pointed to 63 and said
“Five eighths of 100% is 63%.” Player Two would have pointed to 65 and voiced “Five
eighths of 100% is 65%.””. Exact answer is 62.5%, Player One wins.
Round
Fraction
Player 1
Player 2
Equivalent
Observations / Comments
Example
5
8
63
65
62.5
Both of us were close!
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