# STRANGE SNOOKER

##### Level 1 Level 2 Level 3 More Investigations

Bounces Pocket

Click the snooker cue to begin.

Choose a different width and height to see what difference that makes.

This is a very strange snooker table. It has only has four pockets and the ball always travels at an angle of 45° to the sides of the table.

Given the width and height of a table can you predict which pocket the ball will end up in and how many times will it bounce off one of the sides?

For this level the numbers involved are quite a bit larger than the previous level. Rather than draw diagrams for each case you may want to look at the properties of the numbers and come up with a formula.

If you use the table below to collect your data you can earn a Transum virtual trophy for finding ten different cases.

 Width Height Bounces Pocket ✔ ❌ 🔃 ✔ ❌ 🔃 ✔ ❌ 🔃 ✔ ❌ 🔃 ✔ ❌ 🔃 ✔ ❌ 🔃 ✔ ❌ 🔃 ✔ ❌ 🔃 ✔ ❌ 🔃 ✔ ❌ 🔃

Check

🔃 This symbol will appear next to a row that is a duplicate of a previous row. If you see this symbol or the cross which indicates incorrect figures, you can make corrections then click the Check Again button.

In addition to the number of bounces and the destination pocket you could also investigate how far the ball travels before falling into a pocket? Using a spreadsheet may help manage the data you collect. There are many things you could.

If you like snooker you may be interested in playing the Snooker Angles game:

Transum.org/go/?to=snookerangles

Investigations Home

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A mathematical investigation is quite different to other mathematical activities. The best investigations are open ended and allow students to choose the way they work and how they record their findings. It is one of the few occasions when 'going off on a tangent' is not only acceptable but actively encouraged (within reason).

Students may ask for 'the answers' but this supposes that the activity is closed. Investigations can always be extended by varying the initial instructions or asking the question 'what if...?'. Sometimes students point out that the instructions are ambiguous and can be interpreted in different ways. This is fine and the students are encouraged to explain how they interpreted the instructions in their report.

Some students may benefit from a writing frame when producing the reports of their investigations. Teachers may suggest sections or headings such as Introduction, Interpretation, Research, Working and Conclusion or something similar.

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Teacher's notes for this investigation and solutions to Transum puzzles, exercises and activities are available when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one by completing the form on the Sign Up page.