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# All Change

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Age 5 to 7

Challenge Level

Watch the video below (you do not need sound).

**What do you notice?
What do you want to ask?**

What are the 'rules' to this challenge, do you think?

How do you complete the challenge?

The rules are hidden below in case you would like to check them.

**The aim of this challenge is to completely fill the grid with counters.**

You will need a copy of the grid, 25 counters or buttons (or anything else that you have), a 1-6 dice, pencil and paper.

Throw the dice and place that number of counters anywhere on the grid.

Repeat this over and over again.

Each time you throw the dice, make a record (for example by keeping a tally) so that you know how many times you have thrown it so far.

Continue until you have completely filled the grid.

Make a note of the total number of throws that it took to fill the grid.

Now it is your turn! Have a go at the challenge for yourself (you may like to print off this sheet of the grid).

How many throws did it take to fill the grid completely?

Have some more goes to see if you can do it in fewer throws of the dice.

**What is the smallest number of throws you did it in?**

**Do you think it would be possible to complete the grid in even fewer throws if you kept on trying? Why or why not? **

Now take a look at two more videos, each one demonstrates a slightly different version of the challenge. (Once again you do not need sound.)

**What is the same compared with the first version?
What is different?**

Have lots of goes at these versions of the challenge.

How many throws did it take to complete the grid each time?

**Which version of the challenge needed the fewest number of moves? Will that always be the case, do you think? Why?**

A group of children are discussing the height of a tall tree. How would you go about finding out its height?

Here's a very elementary code that requires young children to read a table, and look for similarities and differences.