Years K - 10
A game for the whole family to play together.
- You need at least one pair of cube dice that are different.
(Having two or more pairs might speed the game up a little - your choice.)
- Each person in the family becomes a footy team and gives themselves a name.
(The youngest in the family might have to pair up with someone else.)
- Each match will be played by two teams using the playing board in the picture.
Click the image to print the linked PDF file.
You need one (1) board for each game you play.
- Create a fixture for the season where every team plays every other team at least once.
You can play out the fixture over time just like real footy.
- Create a ladder that can change after each match to show the teams in order.
You might use strips of paper on the fridge and have one strip for each team name.
- Each team will need a Stats Sheet to keep score and keep track of their season.
You could do this activity with another family by using your communication technology and build a league competition.
How To Play
- At the start of each game teams (players) toss a coin to see who goes first.
- They also agree which colour dice is for goals and which is for behinds.
- Take turns to play a quarter (one roll of the dice pair) and enter the score on the scoreboard.
- The goal dice is rolled first.
- The game sheet has one scoreboard for each team.
- Just like real footy, the score for the second quarter is added to the first quarter score.
- Play four quarters to end the match and discover the final score for each team.
- Enter the statistics (stats) for the match on your team Stats Sheet.
- Keep every game sheet until later. (See Chances in Dice Footy below.)
On the ladder:
- Through the middle = 1 Goal ... Score 6 Points for your team.
- Through the right or left side = 1 Behind ... Score 1 Point for your team.
- Team with the higher Points at the end of the game wins.
- Winners receive four (4) Match Points towards the season final.
- A draw gets each team two (2) Match Points.
- Losers receive zero (0) Match Points.
We would love to see photos and read your comments from your footy season.
When you have finished your season of footy, how will you decide the Premiers?
- Top of the ladder wins?
- Top two play one last game?
- Top two play best out of three (3)?
- Design a finals draw for the top four (4) teams?
- Something else?
Graphing The Stats
Sporting programs always use graphs to compare one team with another.
- Draw a graph to compare Total Match Points for the season for all the teams.
- Draw a graph that has Total Points For and Total Points Against for the season for all the teams on the same graph.
- This square line paper should be useful.
Chances in Dice Footy
Real footy is a game of skill, with a bit of luck thrown in. Dice Footy is all luck. Let's investigate the chances.
A mathematician could calculate the average final score without seeing any of your data. They could do it like this:
- Choose at least five (5) different game sheets from your collection. There will be ten (10) final scores in the these matches. Five winning scores and five losing scores.
- Calculate the average score of all ten (av.goals, av. behinds, av. points)
- Compare this calculated average against the actual final scores on some of your other game sheets.
Sort them into groups: Very close .... Close ... Not close ... Way off
Are there any patterns? Report in your journal.
In a perfect world if a dice is rolled 6 times we could expect each face to appear once.
Therefore the total expected 'score' for the 6 rolls experiment would be:
1 + 2 + 3 + 4 + 5 + 6 = 3 x 7 = 21
So the expected value for one roll would be 21 ÷ 6 = 3·5 and this is the same whether it is a roll for goals or a roll for points.
So the expected average result for four quarters would be:
4 x 3·5 goals + 4 x 3·5 behinds
= 14 goals + 14 behinds
= 14 x 6 + 14 points
= 98 points
Note: If your school is a member of Maths300, your teacher can provide software that will help you explore Dice Footy further.
- Compare this mathematical average to the average from your data.
Comment in your journal.
Just Before You Finish
In your journal comment on what you know now that you didn't know before you played a Dice Footy season.
Answers & Discussion
These notes were originally written for teachers. We have included them to support parents to help their child learn from Dice Footy.
Send any comments or photos about this activity and we can start a gallery here.
Maths At Home is a division of Mathematics Centre