# Dicey Operations

*This game follows on from **Nice or Nasty**. You might like to try **Dicey Addition** before playing this game.*

Again, there are several 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.

Take turns to throw the dice and decide which of your cells to fill.

This can be done in two ways: either fill in each cell as you throw the dice, or collect all your numbers and then decide where to place them.

#### Game 1

Each of you draw an addition grid like this:

Throw the dice nine times each 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 each 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.

#### Game 3

#### Whoever has the product 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.

#### Game 4

Each of you draw a multiplication grid like this:

Throw the dice five times each until all the cells are full.

#### Whoever has the product closest to 10000 wins.

- 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 10000 after each round. First to 10000 loses.

#### Game 5

**Whoever has the answer closest to 1000 wins.**

There are two possible scoring systems:

- A point for a win. The first person to reach 10 wins the game.

#### Game 6

Each of you draw a division grid like this:

Throw the dice six times each until all the cells are full.

**Whoever has the answer closest to 100 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 100 after each round. First to 500 loses.

You can vary the target to make it easier or more difficult.

*You may like to make use of this **Operation Grid/Scoring Sheet** *

### 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

You may wish to move students on to Countdown and Countdown Fractions