### Plants

Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?

### Gran, How Old Are You?

When Charlie asked his grandmother how old she is, he didn't get a straightforward reply! Can you work out how old she is?

### Follow the Numbers

What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

# The Car That Passes

## The Car That Passes

This activity is a very practical one and it would be good to be able to work with someone else on it.

Here is the question we would like you to work on:

What can you say about the car that passes the school gates next Monday morning at the end of playtime?

What will you have to do in the time leading up to Monday to make a statement that is very likely to be true?

We would love to hear about what you did.

What statement/s did you make?

What information did you collect in order to make those statements?

How did you find out whether the statements were true?

### Why do this problem?

This activity is very appropriate when starting off the topic of probability, as is In the Playground. They both give pupils the opportunity to make their own decisions, and discover some important issues in this area of mathematics. This investigation will need to take place over a period of several days.

### Possible approach

This really needs to be presented as part of a class discussion. Pose the question, adapting it appropriately to suit your setting. Pupils will need to listen to each other's ideas and decide on what action needs to be taken. A 'brainstorming' session may be the result with learners suggesting surveying the traffic, focusing on, for example:
The car's colour
Who is driving the car
The direction the car is traveling in
The number of passengers in the car etc. etc.

The pupils will probably need a few days to gather their information, perhaps in pairs or small groups, and then time to analyse it. They will then need to be given the chance to come up with their statements. Look out for children who use vocabulary associated with probability appropriately (such as 'very likely', 'likely', 'certain' etc.) and justify their statements using the data they have gathered. This work would make a fantastic wall display.

Ask the class how they will know if their statements are true. The only way is to test them at the specified time! Children can then reflect on their work. This reflection time is just as important as the previous stages and you can pose several questions, such as:
• Was the car as we expected?
• Can we explain why some of the statements turned out to be true and some false?
• What might have happened if we had collected data just for one day? Why?
• What might have happened if w'?d collected data for longer? Why?

### Key questions

What things are you going to do to find out information?
Will you decide beforehand what you particularly want to look at when gathering information?
(After the event) What can you now say about the data you collected and what you have seen just now?

### Possible extension

Ideas for further investigation may well come from the pupils when the event is over and you've had a chance to discuss the appropriateness of the data collected.

### Possible support

Some pupils may need support in gathering their information in a practical sense. This task is not intended to 'test' particular recording or presentation methods, rather it is intended to focus on the process of data collection and interpretation as a whole.

You can read about some of the issues which might arise when teaching probability in this article.