Rectangle Fractions Game
Years 4 - 8

To learn more about rectangle fractions, try the activity Rectangle Fractions.

 

Preparation

This is a game for two (2) players.
  • Print one (1) Rectangle Fractions Game grid for two players.
  • 2 x A4 pieces of paper to cover parts of the grid.
  • Plastic screw caps, or counters, or buttons, or pasta, or pebbles, or Poly Plug, or... that fit inside the boxes (or cells) of the grid.
    The objects need to be in two sizes, or colours, or types, so players know which ones belong to them.
  • Print and cut this set of game cards for your first game.
  • Print this set of blank game cards when you want to make your own game.
  • Write the title of this challenge and today's date on a fresh page in your maths journal.

Remember, rows go across your tummy.

Rectangle Fractions Game: Twelfths

Aim: To be the first person to make the whole (or the whole and a bit more).
  • Use your two cover pieces to mask the grid so it shows only a whole rectangle made of four (4) rows of three (3) cells.

    Cells divide this whole into twelve (12) equal parts. Each cell is one twelfth (1/12) of the whole rectangle.
    Rows divide this whole into four (4) equal parts. Each row is one fourth, also called one quarter, (1/4) of the whole rectangle.
    Columns divide this whole into three (3) equal parts. Each column is one third (1/3) of the whole rectangle.

  • Place the cards face down and spread them out.
  • Player A picks up a card and claims the fraction of the board shown on the card by using their pieces.
    As you do it, say, for example, I claim one third of the whole rectangle..
  • Player B takes their turn and does the same thing.
  • Keep the cards you pick up.
  • Continue until one player's move makes the whole, or goes a bit more, to win.
In your journal, do a quick sketch of how the game finished.
  • Put your pick up cards together to make an equation showing how the game went.
    Work out the amount covered at the end.
  • If you covered more than one whole, you have to work out what fraction of the next whole has been covered.
  • Write your equation in your journal.
Put your pick up cards back and start over.
Play the game again three or four more times.
Record in your journal each time.

Have fun exploring Rectangle Fractions Game

What Happens If...?

Mask the board a different way so it still has twelve cells, but the rectangle is a different shape.
Play the game again two or three times with this whole.
Record in your journal each time.
  • Include sketches of what thirds and fourths look like in this whole rectangle.
Choose your own way to mask the board to make a whole rectangle.
  • What fraction of your rectangle are the cells?
  • What fraction of your rectangle are the rows?
  • What fraction of your rectangle are the columns?
  • Can your rectangle show any other fractions?
Make your own set of Rectangle Fractions Game cards using the Blank Game Cards.

  • Play the game again several times with your own whole rectangle.
  • Each time sketch the finished game in your journal and write its equation.
Come back to this activity in the future several times and use a new whole rectangle each time.

Challenges

1. What happens if the game uses this aim?

Aim: To be the first person to make two wholes (or two wholes and a bit more).

2. What happens if we introduce this new rule?

  • In every game your third pick up card tells you the fraction of your cells to uncover.

Just Before You Finish

  • Record anything you have learnt about fractions while playing this game. You can use words and pictures.
  • Your friend knows you have been playing this game and sends you a text asking what it's like. Write out the text you send back.

 

These notes were originally written for teachers. We have included them to support parents to help their child learn from Rectangle Fractions Game.

Rectangle Fractions Game is based on a game called Fraction Game that was designed and trialled by three Tasmanian secondary teachers. Find their notes here:

 

Send any comments or photos about this activity and we can start a gallery here.

 

Maths At Home is a division of Mathematics Centre