Enyoy doing mathematics with every bus number you see.

14

14

### Challenge

Each time a bus comes into view write down the following about the bus number:

Double it, halve it, square it
then write down its factors.

The challenge is to do all of this before the next bus appears!

### Game

Player 1 doubles the bus number.
Player 2 adds up its factors.

Whoever gets the largest total wins.

Play the game with a friend.

### Drill

Each time a bus comes into view the teacher gives an instruction such as:

"Write down the fifth multiple of this bus number."
"Write down the square root of this bus number."
"Write down one tenth of this bus number."
"Subtract this bus number from one."

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.

## A Mathematics Lesson Starter Of The Day

Share
• J F, Soar Valley Leicester
•
• Used this to introduce perfect numbers much more effective than last months version of same topic. it also gave us the opportunity to revise factor trees , rules of divisibility etc
great .
Worked well with both year 7 and year 8.
• Transum,
•
• This could also, of course, be an individual activity in which pupils make a table for the bus numbers, the double and the sum of the factors and fill it in as the numbers appear. Notice there is the option for a 'static' version of this starter which gives the teacher complete control over the time each bus number is on screen. Alternatively the teacher could use the freeze button on the projector remote control to dwell longer on more interesting bus numbers.

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.

If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:

Excellent, I would like to see more like this
Good, achieved the results I required
Satisfactory
Didn't really capture the interest of the students
Not for me! I wouldn't use this type of activity.

This starter has scored a mean of 2.9 out of 5 based on 183 votes.

Previous Day | This starter is for 28 April | Next Day

 BusNumber Double Factors Sum of Factors Winner 1 2 1 1 Player 1 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?

List of solutions up to 1000

## Extension

Imagine you are the driver of a bus that begins its route with twelve passengers.

At the first stop one person gets off the bus and five people get on.

At the second stop two people get off the bus and seven people get on.

At the third stop nine people get off the bus and six people get on.

What is the name of the bus driver?

Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items chosen and recommended by Transum Mathematics to get you started.

## 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.

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 Teacher, do your students have access to computers?Do they have iPads or Laptops in Lessons? Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Transum.org/go/?Start=April28

Here is the URL which will take them to a student activity involving factors.

Transum.org/go/?to=satisfaction