Our Numbers

These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
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Problem


For this activity I've chosen first of all to use a $1$ to $6$ and a $0$ to $9$ spinner.

The $1$ to $6$ we will use to give us the tens digit and the other one for the ones digit.

 

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Our Numbers
You will need two spinners like those above and two cards which each have six boxes drawn on them. You can download and print these, or you could use our interactive spinners. You will also need twelve counters.
 
A person with one card chooses the special types of numbers that they will collect. The other person chooses some other special types of numbers to collect.
 
For example, Sara chooses numbers you can share equally among $3$ ( eg. $3, 9, 21, 39 ... $).
Nala chooses even numbers (eg. $4, 10, 20, 44 ... $).
Each of them spins a spinner and then when it rests they read out the number (tens and ones).
Suppose it's a $21$, then Sara places a counter in one of the boxes on her card. If it is a $10$ then Nala gets a counter for her card. If it's a $30$ then both of them get a counter.
 
You can do something similar.
When you've tried it a few times decide what's best to choose so that you fill all the boxes on both cards as quickly as you can.
 
Think about other spinners - there are some here. Or of course you can design your own.
 
Are there good choices of spinners that work really well?