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."

###### [Choose this]

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 3.0 out of 5 based on 300 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.

At the fourth stop one third of the passengers get off.

What is the name of the bus driver?

Christmas Present Ideas

It is often very difficult choosing Christmas presents for family and friends but so here are some seasonal, mathematics-related gifts chosen and recommended by Transum Mathematics.

## Equate board game

Here's a great board game that will give any family with school-aged kids hours of worthwhile fun. Christmas is a time for board games but this one will still be useful at any time of year. Games can be adapted to suit many levels of Mathematical ability.

For Maths tutors working with just one or small groups of pupils this game has proved to be an excellent activity for a tutorial. Deciding on the best moves can spark pertinent discussions about mathematical concepts.

Equate looks a bit like Scrabble--for aspiring mathematicians, that is. Designed by a real mathematician, it works like this: You put down tiles on a board and make points by correctly completing simple equations. Your nine tiles include both numbers and mathematical symbols; you can add on to previous plays both vertically and horizontally. more...

## How Not To Be Wrong

The maths we learn in school can seem like an abstract set of rules, laid down by the ancients and not to be questioned. In fact, Jordan Ellenberg shows us, maths touches on everything we do, and a little mathematical knowledge reveals the hidden structures that lie beneath the world's messy and chaotic surface. In How Not to be Wrong, Ellenberg explores the mathematician's method of analyzing life, from the everyday to the cosmic, showing us which numbers to defend, which ones to ignore, and when to change the equation entirely. Along the way, he explains calculus in a single page, describes Gödel's theorem using only one-syllable words, and reveals how early you actually need to get to the airport.

What more could the inquisitive adult want for Christmas? This book makes a cosy, interesting read in front of the fire on those cold winter evenings. more...

## Graphic Display Calculator

This handheld device and companion software are designed to generate opportunities for classroom exploration and to promote greater understanding of core concepts in the mathematics and science classroom. TI-Nspire technology has been developed through sound classroom research which shows that "linked multiple representation are crucial in development of conceptual understanding and it is feasible only through use of a technology such as TI-Nspire, which provides simultaneous, dynamically linked representations of graphs, equations, data, and verbal explanations, such that a change in one representation is immediately reflected in the others.

For the young people in your life it is a great investment. Bought as a Christmas present but useful for many years to come as the young person turns into an A-level candidate then works their way through university. more...

The analytics show that more and more people are accessing Transum Mathematics via an iPad as it is so portable and responsive. The iPad has so many other uses in addition to solving Transum's puzzles and challenges and it would make an excellent gift for anyone.

The redesigned Retina display is as stunning to look at as it is to touch. It all comes with iOS, the world's most advanced mobile operating system. iPad Pro. Everything you want modern computing to be. more...

## Aristotle's Number Puzzle

It’s a bit of a tradition to give puzzles as Christmas Gifts to nieces and nephews. This puzzle is ideal for the keen puzzle solver who would like a challenge that will continue over the festive period (at least!).

This number puzzle involves nineteen numbers arranged into a hexagon. The goal of the puzzle is to rearrange the numbers so each of the fifteen rows add up to 38. It comes in a wooden style with an antique, aged look.

Keep the Maths in Christmaths with this reasonably priced stocking filler. more...

## The Story Of Maths [DVD]

The films in this ambitious series offer clear, accessible explanations of important mathematical ideas but are also packed with engaging anecdotes, fascinating biographical details, and pivotal episodes in the lives of the great mathematicians. Engaging, enlightening and entertaining, the series gives viewers new and often surprising insights into the central importance of mathematics, establishing this discipline to be one of humanity s greatest cultural achievements. This DVD contains all four programmes from the BBC series.

Marcus du Sautoy's wonderful programmes make a perfect Christmas gift more...

## Christmas Maths

This book provides a wealth of fun activities with a Christmas theme. Each photocopiable worksheet is matched to the Numeracy Strategy and compatible with the Scottish 5-14 Guidelines. This series is designed for busy teachers in the late Autumn term who are desperate for materials that are relevant and interesting and that can be completed with minimun supervision.

All the activities are suitable for use by class teachers, supply teachers, SEN teachers and classroom assistants and cover topics such as 'How many partridges did the true love give all together?' and 'Filling a sleigh with presents by rolling a dice!'. Children will have lots of fun working through the Christmas Maths themes but also gain valuable skills along the way.

A great source of ideas and another reasonably priced stocking filler. more...

## A Compendium Of Mathematical Methods

How many different methods do you know to solve simultaneous equations? To multiply decimals? To find the nth term of a sequence?

A Compendium of Mathematical Methods brings together over one hundred different approaches from classrooms all over the world, giving curious mathematicians the opportunity to explore fascinating methods that they've never before encountered.

If you teach mathematics to any age group in any country, you are guaranteed to learn lots of new things from this delightful book. It will deepen your subject knowledge and enhance your teaching, whatever your existing level of expertise. It will inspire you to explore new approaches with your pupils and provide valuable guidance on explanations and misconceptions. more...

I had been tutoring the wonderful Betsy for five years. When the day came for our last ever session together before the end of her Year 13, I received this beautiful book as a gift of appreciation.

This a very readable book by Ben Orlin. I'm really enjoying the humour in the writing and the drawings are great.

Ben Orlin answers maths' three big questions: Why do I need to learn this? When am I ever going to use it? Why is it so hard? The answers come in various forms-cartoons, drawings, jokes, and the stories and insights of an empathetic teacher who believes that mathematics should belong to everyone. more...

Click the images above to see all the details of these gift ideas and to buy them online.

## Maths T-Shirts

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 I have chosen and recommend to get you started. As an Amazon Associate I earn a small amount from qualifying purchases which helps pay for the upkeep of this website.

 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 great game which reinforces similar numeracy skills.

Transum.org/go/?to=remainder

## Curriculum Reference

See the National Curriculum page for links to related online activities and resources.