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Eastman Scholar Mathletes July 2011 Tracy Easterling

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Facing Math Please work with a partner to complete the Facing Math activity while we are waiting on others to arrive. Please work with a partner to complete the Facing Math activity while we are waiting on others to arrive. Facing Math Facing Math Facing Math Facing Math Please use the Crayola markers and follow the directions on the APART Bingo game. Please use the Crayola markers and follow the directions on the APART Bingo game.

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Multiplication Tic-Tac-Toe With a partner, you are going to play Multiplication Tic-Tac- Toe. To play, pick up a set of playing cards from the middle of the table. Take turns turning over 2 cards. Find the product. Place a marker on the 100 grid. (You may choose to just use a magic marker and make Xs or Os.) If a player misses the product. The other player can steal the spot. If players disagree on the answer draw a picture or consult the calculator.

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Fair Shares to Fractional Parts You will need the box of brownies, plates, and the plastic knife to complete this activity. Each group will be given a different scenario in which they must equally share parts of brownies. When given your scenario, open the correct amount of brownies and complete the task. When we have discussed your strategies and results, we will enjoy the brownies. When we have discussed your strategies and results, we will enjoy the brownies.

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Mixed Number Bags Please choose a bag of pattern blocks from the middle of the table. Be prepared to explain whether your bag contains less than a whole, a whole, or greater than a whole.

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Line ‘Em UP Using the number line with benchmark fractions 0, ½, 1, place your fraction where you believe it would fall on a number line. Be prepared to discuss your decision with your group.

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Comparing Pairs of Fractions Choose the greatest fraction of the two fractions on your index card. Please share how you made your decision with your partner.

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Order in the Court Work in pairs to juggle fractions into order from least to greatest. You will need a pair of dice. Roll the dice to generate a proper fraction. Place the fraction in the boxes based on where you think it should go. Continue to roll the dice filling in the boxes. If you roll a fraction that will not line up in order, it is a reject roll. You get a total of 3 reject rolls per chart. The jester wins. Go to the next chart. (You may also play this game with playing cards.) Work in pairs to juggle fractions into order from least to greatest. You will need a pair of dice. Roll the dice to generate a proper fraction. Place the fraction in the boxes based on where you think it should go. Continue to roll the dice filling in the boxes. If you roll a fraction that will not line up in order, it is a reject roll. You get a total of 3 reject rolls per chart. The jester wins. Go to the next chart. (You may also play this game with playing cards.)

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The Middle School Mathematician: Challenging Games and Activities and Empower Students to Achieve Success with Rational Numbers, Algebra, and Geometry (ISBN 978-0-86530-505-2) Fraction Empire APART Bingo True or False Fraction Equations

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Fraction Literary Connections All for Pie, Pie for All by David Martin All for Pie, Pie for All by David Martin The Lion’s Share by Matthew McElligott The Lion’s Share by Matthew McElligott Pizza Counting by Christina Dobson Pizza Counting by Christina Dobson Apple Fractions by Jerry Pallotta Apple Fractions by Jerry Pallotta The Wishing Club by Anna Currey The Wishing Club by Anna Currey Fraction Action by Loreen Leedy Fraction Action by Loreen Leedy Working with Fractions by David A. Adler Working with Fractions by David A. Adler Fraction Fun by David A Adler Fraction Fun by David A Adler Full House by Dayle Ann Dodds Full House by Dayle Ann Dodds

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Spill the Beans Crystal Springs Item #: 402625 $16.95 You will need a bag of beans and the Spill the Bean cards from the center of the table. Please work with a partner to complete 5 of the Spill the Bean cards. Note: The higher the number on the back of the card, the more challenging the problem.

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Geometry: Area and Perimeter “Area and perimeter (the distance around a region) are continually a source of confusion for students. Perhaps it is because both involve regions to be measured or because students are taught formulas for both concepts and tend to get formulas confused.” (pg. 386) (Van de Walle, 2007)

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Perimeter Song Perimeter, Perimeter Goes around and around Add up all the sides And then you write the answer down. Yo! (Jingle Bells) Perimeter Rap Perimeter Rap

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Area Song The area of rectangle is length times width, Length times width Measure up the sides, Then you multiply Length times width Length times width.

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Fixed Area Problems Activity 20.14 Provide students with 36 square tiles. The task is to see how many rectangle can be made with an area of 36 – that is, using all 36 tiles to make filled-in rectangles, not just borders. Each new rectangle should be recorded by sketching the outline and the dimensions on grid paper. (Find the perimeter of each rectangle.)

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Rectango The players roll two dice to determine the length and width of rectangles. The draw their rectangles on the grid – like game board, trying to cover as much of the game board as possible.

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Round UP - Stay Using playing cards, I will make a number and ask you to round it to a given place. If the number should round up, you stand up and shout, “Round Up!” If the number does not round up, stay seated and say, “stay”. Using playing cards, I will make a number and ask you to round it to a given place. If the number should round up, you stand up and shout, “Round Up!” If the number does not round up, stay seated and say, “stay”.

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Betweeners For this game, work in teams of three. The object of the game is to generate a number that is in between the two numbers generated by the other two players. Roll the 3-in-one di. Using the 3 numbers, make a number and write it down. When everyone has generated a number, write them in order from least to greatest on the game board. The player who has the number that falls in between the other two initials the board. Continue to play until time is called. For this game, work in teams of three. The object of the game is to generate a number that is in between the two numbers generated by the other two players. Roll the 3-in-one di. Using the 3 numbers, make a number and write it down. When everyone has generated a number, write them in order from least to greatest on the game board. The player who has the number that falls in between the other two initials the board. Continue to play until time is called.

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Target Three rows of three cards are placed face up. Another card is turned face up to be the target number. The players take turns combining cards using addition, subtraction, multiplication, and division to make the target number. Once all possible combination are removed from the face-up cards, the cards are replaced and partners continue to find equations that equal the target number.

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100 Board Wipe Out For this game, you may work by yourself or with a partner. Roll a given number of dice. Using the numbers rolled by one roll, write and solve numerical expressions to “wipe out” as many numbers as possible from 1 to 100. You may add, subtract, multiply, divide, or raise a number to a power to reach a number. A number may only be used one time in each expression. You must write your expression beside the number you “wipe out”. The object is to “wipe out” as many numbers as possible with the fewest number of rolls. For this game, you may work by yourself or with a partner. Roll a given number of dice. Using the numbers rolled by one roll, write and solve numerical expressions to “wipe out” as many numbers as possible from 1 to 100. You may add, subtract, multiply, divide, or raise a number to a power to reach a number. A number may only be used one time in each expression. You must write your expression beside the number you “wipe out”. The object is to “wipe out” as many numbers as possible with the fewest number of rolls.

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Number Sense Literary Connections Ten, Nine, Eight by Molly Bang Ten, Nine, Eight by Molly Bang How Big Is a Foot? By Rolf Myller How Big Is a Foot? By Rolf Myller Grandfather Tang’s Story by Ann Tompert Grandfather Tang’s Story by Ann Tompert The Doorbell Rang by Pat Hutchins The Doorbell Rang by Pat Hutchins Under the Lemon Moon by Edith Hope Fine Under the Lemon Moon by Edith Hope Fine Seven Blind Mice by Ed Young Seven Blind Mice by Ed Young Half-Chicken by Alma Flor Ada Half-Chicken by Alma Flor Ada The Long and Short of It by Cheryl Nathan and Lisa McCourt The Long and Short of It by Cheryl Nathan and Lisa McCourt My Rows and Piles of Coins by Tololwa M. Mollel My Rows and Piles of Coins by Tololwa M. Mollel Math Counts by Henry Pluckrose Math Counts by Henry Pluckrose

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Literature Connections C an You count to a Googol? By Robert E. Wells C an You count to a Googol? By Robert E. Wells Marvelous Math a Book of Poems Selected by Lee Bennett Hopkins Marvelous Math a Book of Poems Selected by Lee Bennett Hopkins Once Upon a Dime Math Adventure By Nancy Kelly Allen Once Upon a Dime Math Adventure By Nancy Kelly Allen Cut Down to Size at High Noon Cut Down to Size at High Noon A Math Adventure By Scott Sundby A Math Adventure By Scott Sundby First Day in Grapes By L. King Perez First Day in Grapes By L. King Perez The Warlord’s Puzzle By Virginia Walton Pilegard The Warlord’s Puzzle By Virginia Walton Pilegard Shota and the Star Quilt By Margaret Bateson-Hill Shota and the Star Quilt By Margaret Bateson-Hill The King’s Chessboard By David Birch The King’s Chessboard By David Birch My Very Own Room By Amada Irma Perez My Very Own Room By Amada Irma Perez Fly High! The Story of Bessie Coleman By Louise Borden and Mary Kay Kroeger Fly High! The Story of Bessie Coleman By Louise Borden and Mary Kay Kroeger

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Thank you for letting me be a part of your day. I appreciate your participation and hope that you have a few ideas to use with your students. The Powerpoint will be uploaded to the Wiki space.

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