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An Explorer lesson plan. Download a Claris Works or Acrobat file from the Explorer site. Also information on grades, availability, description, curriculum, process skills, author, and publisher.

Author:Don Buckeye

Grade Level:4-9

Objectives:To review the "rules of divisibility" and the concept of the least common multiple (lowest common denominator) as associated with addition and subtraction of fractions.

Resources/Materials:

NUMBER OF PLAYERS:2 to 4 players

PREPARATION OF CARDS:The deck of cards consists of:

- 35 FRACTION cards: 5 each of 1/2, 1/3, 1/4, 1/5, 1/6, 1/7, and 1/8

- 50 DENOMINATOR cards, 2 each of the following denominators (leave the numerators blank): /2, /3, /4, /5, /6, /7, /8, /9, /10, /12, /14, /15, /16, /18, /20, /21, /24, /25, /28, /30, /32, /40, /42, and /44

- 1 each of the WILD cards as shown below.

It is suggested that the color of the FRACTION cards be different from the color of the DENOMINATOR cards.

Activities:

RULES:The dealer shuffles the FRACTION cards and DENOMINATOR cards separately. Place the common denominator) at the center of the table. Deal 7 FRACTION cards, one at a time, to each player. Any excess FRACTIONS cards should be placed aside.

To begin play, the player to the dealer's left draws a DENOMINATOR card and

usesit or discards it to the left of the DENOMINATOR pile in the center of the table. Tousea DENOMINATOR card means that it is played face up with any FRACTION Card(s) whose denominator(s) is (are) a factor(s) of the numeral on the DENOMINATOR card. For example, /24 could be played with 1/2, 1/3, 1/3, 1/6, 1/6.If a DENOMINATOR is played and it is not the least common denominator for the set of fraction cards played, then it may be replaced with a smaller DENOMINATOR card by the original player or any other player in the player's turn. When the original player replaces a DENOMINATOR card with another card which is the least common denominator, he has protected his set of cards.

In the example above, /6 will protect the set of FRACTION cards given since 6 is the least common denominator. When a player replaces an opponent's DENOMINATOR card with a smaller DENOMINATOR card, that player claims the set of FRACTIONS cards for which he has played a smaller denominator as his own. In the first example above, /24 was played with the fractions given. If a player replaced the /24 with a /12, he could claim all five of the FRACTION cards as his own and play them with the /12 card.

Any player may add to a set of FRACTION cards that has already been played only when he replaces a DENOMINATOR card with a smaller DENOMINATOR card. In the example above, additional fraction cards may be played when the /24 is replaced by a /12 or /6.

The replaced DENOMINATOR card is discarded on top of the discard pile in the center of the table. To continue the play, the players in turn draw a denominator card from the denominator deck or use the top card in the denominator discard pile. (A player must use or discard a DENOMINATOR card. He cannot hold them in his hand.)

The game continues until a player plays his last FRACTION card and calls "NULLO."

A player can take only 1 set of cards at a time by replacing DENOMINATOR cards. When playing and using a "WILD" card, the player must choose only 1 of the denominators on the card and must tell the other players what denominator is being used.

SCORING:The object of the game is to accumulate a score of 21 points. A player receives 1 point for each FRACTION card played. (Deduct 1 point for each card remaining in a player's hand at the time of "NULLO.")

Evaluation:Students should check each other's hands.

Followup:Have the students play other fraction card games like ONE or ZERO IN.

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