MORE TO FRACTIONS THAN JUST PIECES

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1 Box Cars and One-Eyed Jacks MORE TO FRACTIONS THAN JUST PIECES JOHN FELLING TREATY SIX CONFERENCE Edmonton, AB January 29-30, 2015 phone / fax boxcarsandoneeyedjacks.com BoxCarsEduc BoxcarsEducation

$Fraction Horse Race Box Cars Stratedice Book page 34 (Adapted) Concepts: Comparing Fractions Equipment: Stratedice Tray, Chart, Fraction Pieces Goal/Object: To have the smallest fraction, have most$

2 Fraction Horse Race Box Cars Stratedice Book page 34 (Adapted) Concepts: Comparing Fractions Equipment: Stratedice Tray, Chart, Fraction Pieces Goal/Object: To have the smallest fraction, have most dice in the racetrack at the end Each player has their own color of dice. Players roll 2 dice and create a proper fraction. Players build their fraction with fraction pieces (or find their fraction on the chart) and compare. Player with the SMALLEST fraction wins the round and places their dice in the "racetrack" (black grid). Losing player places their dice into the lid (clear grid). In the case of a tie or equivalent fraction, both players put their dice into the black tray. Play continues until all of the dice have been used. Player with the most dice in the black tray at the end wins. Variation: Each player rolls 3 dice and creates a mixed fraction (whole number and fraction) like 2¾. Middle Muddle Box Cars "Piece It Together With Fractions" page 28 Concepts: Comparing & Ordering Fractions Equipment: Stratedice Tray / Player Goal/Object: to be the between fraction, have the most dice in the racetrack at the end. Players roll 2 dice and create a proper fraction. Players build their fraction with fraction pieces (or find their fraction on the chart) and compare. Player with the SMALLEST fraction DOES NOT WIN. Player with the LARGETS fraction DOES NOT WIN. Player with the IN-BETWEEN FRACTION WINS THE ROUND. Winner places their dice into their black tray, losers place their dice into their lids. In the case of a tie of 2 or 3 players or equivalent fractions for 2 or 3 players, all players put their dice into their lids (they all lose because no one is "between"). Play continues until all of the dice have been used. Player with the most dice in the black tray at the end wins. Variation: Each player rolls 3 dice and creates a mixed fraction (whole number and fraction) like 2¾. Rainbow Fractions Box Cars "Piece It Together With Fractions" page 49 Concepts: Fraction Number Sense, Equivalent Fractions Equipment: Fraction Pieces (circles) Goal/Object: Find as many ways as possible of creating the whole (1) using at least two different kinds of fraction piece sizes. Players create a circle using at least two different colored fraction pieces. They then color in a circle on their page showing the different color pieces used and record the size of fraction pieces used (ie keep track of what sizes are used on the sheet). EACH "Rainbow" must be different for other "Rainbows" on the answer page. Order In The Court Box Cars "Double Dare You" page 15 (Adapted) Concepts: Comparing and Ordering Fractions Equipment: 1 double regular die & gameboard per player Goal/Object: To place all 5 fractions in order in 7 or less rolls. Each player has a gameboard showing 5 places (left to right) to place fractions and 2 places for rejected fractions. Player one rolls a double die and makes a proper fraction from the roll. Player one records the fraction on their gameboard. Player two rolls their double die, makes a proper fraction and records it on their gameboard. Player one rolls again and makes another proper fraction and records it on their gameboard. Player two rolls again and records their second fraction as well. Players continue to roll and record fractions IN ORDER FROM LEAST to GREATEST on their gameboards until one player wins in even turns or both players bust. Player One 1/6 1/4 1/2 3/3 Previous Rejects = 1/5 Player Two 1/5 2/5 3/6 5/6 Previous Rejects = 4/4 rolls 3/4 "OK" rolls 1/3 "Reject" Player One wins the game, Player two can't play 1/3 between 2/5 and 3/6 (it's smaller than 2/5) 2

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4 ORDER IN THE COURT 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. Copyright Box Cars and One Eyed Jacks Inc. 4

5 Fractions Cents copyright 2014 Box Cars And One-Eyed Jacks Grades: Grade 6 and up Concept: Converting fractions to equivalent percent or decimal, mental math, division, estimation Players: 1 vs 1 Equipment: Cards 1 to 12, Number Line 0-100, fraction/decimal/percent chart Object / Goal: 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 (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 Player Two would have pointed to 65 and voiced Five eighths of one is 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 Equivalent Player 1 Player 2 Observations / Comments Example Both of us were close!

6 Five Fifths 5/ % Six Sixths 6/ % Seven Sevenths 7/ % Eight Eighths 8/ % Nine Ninths 9/ % Ten Tenths 10/ % Eleven Elevenths 11/ % Twelve Twelfths 12/ % Fractions Decimals Percents Copyright Box Cars And One-Eyed Jacks Inc. One Whole 1/ % One Half 1/ % Two Halves 2/ % One Third 1/ % Two Thirds 2/ % Three Thirds 3/ One Fourth 1/ % Two Fourths 2/ % Three Fourths 3/ % Four Fourths 4/ % One Fifth 1/ % Two Fifths 2/ % Three Fifths 3/ % Four Fifths 4/ % One Sixth 1/ % Two Sixths 2/ % Three Sixths 3/ % Four Sixths 4/ % Five Sixths 5/ % One Seventh 1/ % Two Sevenths 2/ % Three Sevenths 3/ % Four Sevenths 4/ % Five Sevenths 5/ % Six Sevenths 6/ % One Eighth 1/ % Two Eighths 2/ % Three Eighths 3/ % Four Eighths 4/ % Five Eighths 5/ % Six Eighths 6/ % Seven Eighths 7/ % One Ninth 1/ % Two Ninths 2/ % Three Ninths 3/ % Four Ninths 4/ % Five Ninths 5/ % Six Ninths 6/ % Seven Ninths 7/ % Eight Ninths 8/ % One Tenth 1/ % Two Tenths 2/ % Three Tenths 3/ % Four Tenths 4/ % Five Tenths 5/ % Six Tenths 6/ % Seven Tenths 7/ % Eight Tenths 8/ % Nine Tenths 9/ % One Eleventh 1/ % Two Elevenths 2/ % Three Elevenths 3/ % Four Elevenths 4/ % Five Elevenths 5/ % Six Elevenths 6/ % Seven Elevenths 7/ % Eight Elevenths 8/ % Nine Elevenths 9/ % Ten Elevenths 10/ % One Twelfth 1/ % Two Twelfths 2/ % Three Twelfths 3/ % Four Twelfths 4/ % Five Twelfths 5/ % Six Twelfths 6/ % Seven Twelfths 7/ % Eight Twelfths 8/ % Nine Twelfths 9/ % Ten Twelfths 10/ % Eleven Twelfths 11/ % 6

MATH GAMES THAT SUPPORT SINGAPORE MATH GRADES

Box Cars and One-Eyed Jacks MATH GAMES THAT SUPPORT SINGAPORE MATH GRADES 3-5 JOHN FELLING SMART TRAINING SCOTTSDALE, AZ July 9, 2015 john@boxcarsandoneeyedjacks.com phone 1-866-342-3386 / 1-780-440-6284