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If you put three beads onto a tens/ones abacus you could make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?

### Writing Digits

Lee was writing all the counting numbers from 1 to 20. She stopped for a rest after writing seventeen digits. What was the last number she wrote?

### What Number?

I am less than 25. My ones digit is twice my tens digit. My digits add up to an even number.

# Two Spinners

## Two Spinners

There are two spinners. The first spinner shows 10s and the second spinner shows 1s.

When you spin the two spinners, the numbers can be combined. For example, if the spinners land on 20 and 4, I can combine these numbers to make 24.

What two-digit numbers can you make?
What numbers can’t you make?

There some interactive spinners here that you can use for this problem.

#### Why do this activity?

This activity reinforces the idea of partitioning numbers into 10s and 1s and recombining these. It encourages children to record their results, notice patterns and make predictions.

#### Possible approach

A possible starting point is with arrow cards to remind the class how to partition two-digit numbers into 10s and 1s, and how to combine 10s and 1s to make two-digit numbers.

The interactive spinners can be used to model the activity on an interactive whiteboard or can be used by the children as they engage with the task. You may also find that individual spinners or dice are useful. Stickers can be added to adapt pre-numbered or blank dice or spinners.

As the task is being modelled, the numbers that have been made could be marked off on a 100 square. This organisation of results will support the children to notice patterns in which numbers can and can’t be made and their explanations of why this is the case.

Some children may move onto the extension tasks (below).

#### Key questions

Which can be made? Why? How many is this in total?