# Close or closer

Purpose

To provide practice finding fractions of a whole number. Students find fractions (including 3/4 , 7/12, 5/6, 3/10, 3/5, and others) of 120 and use the results to match a target amount.

Brief rules

A game for two players

Starting

• Materials
• One set of nine digit-cards, each containing a single digit from 1 through 9. Two cards drawn from this set will be used to form a single two-digit number (12 through 98, excluding the multiples of 10 or 11).
• A set of fraction cards cut out from Activity Master 27: Fraction Cards 1.
• Setup
• Mix the digit cards. Select two randomly and turn them face up to make a two-digit number. This is the "target number." Put the rest of these cards away until next game; they will not be used during this round.
• Mix the fraction cards and stack them face down on the table. Turn two of these face up on the table to start the game.

Play

Object of the game: to collect the set of one or two fraction cards (no more) that allows you fraction of 120 that matches, as closely as possible, the target number.

For example, if the target number is 91, then the fraction 3/4 gets quite close (because 3/4 of 120 is 90). The pair of fractions 1/2 and 1/4 gets the same result (because, together, they are 3/4, or because 1/2 of 120 is 60 and 1/4 of 120 is 30, and together 60 + 30 make 90.) The combination of 3/5 and 1/6 gets a different result (1/5 of 120 is 24, so 3/5 of 120 is 72, and 1/6 of 120 is another 20 for a total of 92), but is equally close to the target of 91.

While you are waiting for your turn...

Figure out what fraction of 120 your hand represents.

You start the game with no fraction cards in your hand, so your hand is worth 0. As you play, you will collect one or two fraction cards in your hand. If you have 1/10 in your hand, your hand is worth 12, because 1/10 of 120 is 12. If you have 3/10 and 1/6, your hand is worth 3x12 (three times as much as 1/10 of 120) plus 20 (one sixth of 120), for a total of 56. Your object is to get your hand's value as close as possible to the target number.