# Family Buses

Each bus can hold 11 passengers.

 The Johnsons The Williamses The Joneses The Browns The Davises The Millers The Wilsons

Can you assign families to buses without having to split families up?

## A Mathematics Lesson Starter Of The Day

Topics: Starter | Mental Methods | Problem Solving

• Fiona Bray, Cams Hill School
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• This is an excellent website. We all often use the starters as the pupils come in the door and get settled as we take the register.
• S Mirza, Park High School, Colne
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• Very good starters, help pupils settle very well in maths classroom.
• Mrs Johnstone, 7Je
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• I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson.
• Fr. Byrne, St Colum's
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• Great starter! Used it with a year 7 class, followed by a year 12 further maths class! Both classes loved it.
• Mrs Keeling, Rugeley
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• I loved it the pupils got it straight away I want more of it !!! the pupils are yr 5 and 6 they got it !!!!
• Mrs Manled, Webster High
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• This website is amazing! I put it on when the children come into maths for a little brain strecher! We loved the thai numbers!
Thanks a lot.
• Leanne Bartlett, Sawtry Community College
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• My year 7's enjoyed this and one of them even suggested we extend the activity to look at the proportion of boys and girls on each of the buses. This led to a great discussion of percentages and recurring decimals!
• Miss Clarke's Group, Holton-Le-Clay Junior School
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• We really enjoyed this activity but it was a little bit challenging to start off with.
It helped us realise that we needed to check our work through, especially when we made a mistake!
We noticed that there needed to be an odd number on each bus. This made it easier when we tried another problem.
• Neve & Dominika, Charnwood Primary Year 6
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• It was not too hard or too easy! Perfect level of challenge. It made you think carefully about the best way to solve the problem.
• Bhavin, Southampton
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• Excellent starters. Kids have really enjoyed most of the starters.
Thank you.
• Emma, Oldham
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• These starters are excellent for my foundation level students, however I would love to see the answers/solutions here to me spending precious planning hours on figuring out the puzzle myself.

[Transum: It is good to hear that the Starters are being used with your students. The answers to all of the Starters can be found lower down the page if you are signed in as a teacher.]

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 3.4 out of 5 based on 414 votes.

Previous Day | This starter is for 3 October | Next Day

Here's one solution. There may be many more!

 Bus 1The WilliamsesThe JonesesThe Johnsons Bus 2The DavisesThe Millers Bus 3The BrownsThe Wilsons

Note to teacher: Doing this activity once with a class helps students develop strategies. It is only when they do this activity a second time that they will have the opportunity to practise those strategies. That is when the learning is consolidated. Click the button above to regenerate another version of this starter from random numbers.

## 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?

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 Christmas gift for anyone.

You have to hold iPad Air to believe it. It’s just 7.5 millimeters thin and weighs just one pound. The stunning Retina display sits inside thinner bezels, so all you see is your content. And an incredible amount of power lies inside the sleek enclosure. So you can do so much more. With so much less. 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...

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

 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=October3

Here is the URL which will take them to an interactive puzzle about a different form of transportation.

Transum.org/go/?to=River