Dicey operations
How close can you get to the target?
If you know how to add and subtract, you may enjoy these challenges.
And when you're ready for multiplication and division challenges, you might like to look at More Dicey operations...
Click on the purple cog to select from the available options.
If you are working away from a computer, you could treat this as a game for two people, or play in two teams of two.
There are a couple of examples of games to choose from.
Find a partner and a 1-6 dice, or preferably a 0-9 dice if you have one. The interactivity in Dice and Spinners can be used to simulate throwing different dice.
Throw the dice. Each player decides where to place that number in their grid.
Continue until all the cells are filled.
Alternatively, collect all the numbers and then decide where to place them.
Game 1
Each player will need to draw an addition grid like this:
Throw the dice nine times until all the cells are full.
Whoever has the sum closest to 1000 wins.
There are two possible scoring systems:
- A point for a win. The first person to reach 10 wins the game.
- Each player keeps a running total of their "penalty points", the difference between their result and 1000 after each round. First to 5000 loses.
You can vary the target to make it easier or more difficult.
Game 2
Each of you draw a subtraction grid like this:
Throw the dice eight times until all the cells are full.
Whoever has the difference closest to 1000 wins.
There are two possible scoring systems:
- A point for a win. The first person to reach 10 wins the game.
- Each player keeps a running total of their "penalty points", the difference between their result and 1000 after each round. First to 5000 loses.
Why play these games?
These games are thought provoking and very engaging. They encourage discussion of place value, mental calculations and estimation, alongside valuable strategic mathematical thinking.
Possible approach
These games follow on from Nice or Nasty
Working in teams of two, set the students off on playing Game 1. Depending on your aims for the lesson, offer the simple or more complicated scoring system.
When appropriate, move onto the other games, clarifying the targets and scoring system for each. Encourage students to vary the targets.
You may want to download and hand out Instruction Sheets and/or Operation Grids/Scoring Sheets
Key questions
Why are some cells more significant than others?
How do you decide which targets are appropriate?
What are effective strategies for placing the numbers?
Possible support
If pupils are struggling, they might benefit from trying Dicey Addition. This is a simpler version that uses fewer cells in each game.
Perhaps provide students with number cards that they can move around the grid to consider different options.
Pupils who find estimation difficult could use calculators to check their estimates.
Choose the easiest scoring system or allow calculators for scoring the more difficult version.
Allow pairs of students to play against other pairs, so that they can support each other.
Possible extension
More Dicey Operations challenges students to get as close to a target as possible using multiplication and division.
You may wish to move students on to Countdown and Countdown Fractions