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Fractions Game – ‘Complete Me’

Aim of the game:

- Fill in the whole shape by shading a specified fraction of
it. The winner is person who shades the final segment and
creates a whole.

How to Play:

1. This game can either be played in pairs with each person
playing against each other or as the teacher verses the
2. Start by drawing a whole circle, square or shape of your
choice on the white board.
3. Select three or more fractions that each player can
choose from (depending on what fractions you choose will
determine how difficult the game will be, there are
examples down the bottom).
4. Each player takes in turns to choose which fraction of
the whole shape to fill.
5. The player who fills in the last piece to complete the
whole is the winner, if the player has no choice but to
fill in more than a whole than that player loses. (eg if
there is only an eighth left but the player can only
choose from a half, quarter or sixth)


I would suggest easing into this game with simple fractions first (eg half, quarter) also you might want to use fractions that fit in with each other (eg 1/3 1/6 1/2). As the students get better at understanding fractions you can give more difficult combinations. Here are some good combinations to use; (1/2, 1/4 and 1/8) (1/4, 1/8 and 3/8) (1/8, 2/8 and 3/16) (1/9, 1/3, 4/9)
(1/5, 3/10 and 7/20)you can move to higher and more difficult combinations with; (1/9, 1/3 and 1/6) (1/3, 1/4 and 1/12). Experiment with some different fraction combinations, if you get your students to play against each other and come up with their own combinations they will develop a good understanding of how fractions relate to each other and which fractions are compatible.

1 comment to Fractions Game – ‘Complete Me’

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