Enyoy doing mathematics with every bus number you see.
Each time a bus comes into view write down the following about the bus number:
Double it, halve it, square it
The challenge is to do all of this before the next bus appears!
Player 1 doubles the bus number.
Whoever gets the largest total wins.
Play the game with a friend.
Each time a bus comes into view the teacher gives an instruction such as:
"Write down the fifth multiple of this bus number."
Keep a running total of the bus numbers in your head!
Stand up as soon as the total exceeds 100 or is equal to a square number.
Do it in silence or chant the totals together.
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|Double||Factors||Sum of Factors||Winner|
|2||4||1 2||3||Player 1|
|3||6||1 3||4||Player 1|
|4||8||1 2 4||7||Player 1|
|5||10||1 5||6||Player 1|
|6||12||1 2 3 6||12||Draw|
|7||14||1 7||8||Player 1|
|8||16||1 2 4 8||15||Player 1|
|9||18||1 3 9||13||Player 1|
|10||20||1 2 5 10||18||Player 1|
|11||22||1 11||12||Player 1|
|12||24||1 2 3 4 6 12||28||Player 2|
|13||26||1 13||14||Player 1|
|14||28||1 2 7 14||24||Player 1|
|15||30||1 3 5 15||24||Player 1|
|16||32||1 2 4 8 16||31||Player 1|
|17||34||1 17||18||Player 1|
|18||36||1 2 3 6 9 18||39||Player 2|
|19||38||1 19||20||Player 1|
|20||40||1 2 4 5 10 20||42||Player 2|
|21||42||1 3 7 21||32||Player 1|
|22||44||1 2 11 22||36||Player 1|
|23||46||1 23||24||Player 1|
|24||48||1 2 3 4 6 8 12 24||60||Player 2|
|25||50||1 5 25||31||Player 1|
It is better to be Player 1! It is much easier to double a number than work out the factors and add them up and as you can see Player 1 is more likely to win.
Player 2 will only win when the bus number is an "abundant number". What is the next abundant number after 24?
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Have you read Craig's book yet?
Craig Barton must surely be the voice of Mathematics teachers in the UK. His wonderful podcasts interviewing the industry experts have culminated in this wonderful book. As Craig says: "I genuinely believe I have never taught mathematics better, and my students have never learned more. I just wish I had known all of this twelve years ago..." more...
"How I wish I’d taught maths' is an extraordinary and important book. Part guide to research, part memoir, part survival handbook, it’s a wonderfully accessible guide to the latest research on teaching mathematics, presented in a disarmingly honest and readable way. I know of no other book that presents as much usable research evidence on the dos and don’ts of mathematics teaching in such a clear and practical way. No matter how long you have been doing it, if you teach mathematics—from primary school to university—this book is for you." Dylan Wiliam, Emeritus Professor of Educational Assessment, UCL.
Casio Classwiz Calculator
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As well as basic spreadsheet mode and an equation solving feature you also get the ability to solve quadratic, cubic or quartic polynomial inequalities and the answer is given just as it should be written down, using the correct inequality symbols!
This calculator has a high-performance processor and twice the memory of previous models ensuring speedy operation and superior computational power.more...
Teacher, do your students have
access to computers?
Here a concise URL for a version of this page without the comments.
Here is the URL which will take them to a student activity involving factors.