Three mathematicians, Dr Hannah Fry, Prof Norman Fenton and Prof David Spiegelhalter, present a new perspective on climate change.

]]>Stefan Gates finds out that machines can sort rubbish into different 2D and 3D shapes when he visits a vast recycling plant. He speaks to Richard Kirkman who explains how they use different machines to sort the rubbish by weight and shape. Stefan throws some items from his own recycling into a machine like a giant sieve – a cylinder (plastic bottle), a flat rectangle (piece of paper), and a cube (cardboard box). We see that the machine lets some shapes through but others travel across onto a conveyor belt. The different machines and conveyor belts continue to separate the different materials. At the end a machine squashes them into cuboid bales of the same size and shape, but made from different materials – cardboard, aluminium or plastic. Stefan shows us the new items that can be made from the recycled material - cardboard boxes, drinks cans, plastic bottles and a recycled plastic chair. Stefan then visits pupils from John Donne School in South London who show him how they reuse plastic bottles by first sorting them into different sizes and shapes, just like the machines. Then they can make new things out of them, from bird feeders to planters to a whole greenhouse with walls made from 1500 plastic bottles.

]]>Radio 1 Newsbeat journalist Adina Campbell meets Nick, a 16 year with a clear goal encouraging him to save. Nick’s example shows how even a relatively small amount of money can add up over a year, and they investigate how banks can add to this through interest and compound interest. Financial experts Iona Bain and Martin Lewis explain what these terms mean, and how they all add up to help you make your money work harder for you.

- This clip is from:
- Made of Money

- First broadcast:
- 18 January 2013

Radio 1 Newsbeat journalist Adina Campbell investigates how to make the most of your spending money. She visits the supermarket with students Leanne and Jack and together they try to buy the best bargains by considering unit price, bulk buying, and choices related to brands, own label and ‘value’ products. Practical suggestions are offered on how to compare costs and decide what they can afford to buy. Advice is offered from Martin Lewis on how to make best use of your money.

- This clip is from:
- Made of Money

- First broadcast:
- 18 January 2013

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Adina Campbell helps student Katherine take charge of her finances by creating a budget. They discuss essential and non-essential expenditure and work out ways to reduce spending.

- This clip is from:
- Made of Money

- First broadcast:
- 18 January 2013

Princess Amber is imprisoned by the Evil Ruler. To rescue her, Captain Calamity must use logic and clues to find and slay the huge, fire-breathing dragon and bring back evidence that he has achieved this. He heads east and carries a blue triangular flag as a clue. At the fork in the road, the triangular shape of the flag is a clue to take the route which has trees with triangular leaves. The blue colour of the flag provides the next clue. Captain Calamity finds the dragon and wins another quest.

- This clip is from:
- Starship, Data Handling

- First broadcast:
- 24 January 2008

How to pay with a £2 coin and receive change. A clown is buying things with a £2 coin. Some items cost less than £2 so change is needed. The clown shows combinations of £2. How much money is needed to buy a hat and a toy rabbit?

- This clip is from:
- Numbertime, Money: Up to £2

- First broadcast:
- 3 November 2000

Little Juan needs new things for school. His mother takes him shopping and buys goods costing 15p. She only has a 20p piece, so what should she do? El Nombre explains that when the amount you give to pay is greater than the amount you owe, you need to be given change. He also explains that one 5p piece is worth the same as five 1p pieces.

- This clip is from:
- Numbertime, 6. Change from 20p

- First broadcast:
- 30 October 2000

The children are on a quest to change a 50p piece into different coins but still making 50p. El Nombre helps the children to find coins of different value to make a total of 50p.

- This clip is from:
- Numbertime, Money: Coin recognition to 50p

- First broadcast:
- 31 October 2000

An introduction to the importance of data organisation and tallying. Following a storm, Robinson Crusoe lands on an island. He wants to keep a record of how long he is on the island. Randomly recording days is not very helpful so he starts to organise his data. He uses tallying to group days into sets of five.

- This clip is from:
- The Maths Channel, Year 2: Handling Data

- First broadcast:
- 25 May 2007

Sir Roger Penrose provides a unique insight into the "forbidden symmetry" of his famous penrose tiles and the use of non-repeating patterns in design and architecture.

It is a rigorous mathematical theorem that the only crystallographic symmetries are 2-f, 3-f, 4-f, and 6-f symmetries.

Yet, since the 1970s 5-f, 8-f, 10-f and 12-f "almost" symmetric patterns have been exhibited, showing that such crystallographically "forbidden symmetries" are mathematically possible and deviate from exact symmetry by an arbitrarily small amount. Such patterns are often beautiful to beh and designs based on these arrangements have now been used in many buildings throughout the world.

In this Ri event Sir Roger Penrose reveals the mathematical underpinnings and origins of these "forbidden symmetries" and other related patterns. His talk is illustrated with numerous examples of their use in architectural design including a novel version of "Penrose tiling" that appears in the approach to the main entrance of the new Mathematics Institute in Oxford, officially opened in late 2013 (http://www.maths.ox.ac.uk/new-building).

The tiling is constructed from several thousand diamond-shaped granite tiles of just two different shapes, decorated simply with circular arcs of stainless steel. The matching of the tiles forces them into an overall pattern which never repeats itself and exhibits remarkable aspects of 5-f and 10-f symmetry.

Similar features have been found also in the atomic structures of quasi-crystalline materials. The initial discovery of such material earned Dan Shectman the 2011 Nobel Prize for chemistry, his work having launched a completely novel area of crystallography.

Images of the completed Mathematics Institute in Oxford courtesy of Vanesa Penrose.

The filming and production of this event was supported by the Science and Technology Facilities Council: http://www.stfc.ac.uk. Production by Edward Prosser. Additional camera operation by Mark Billy Svensson.

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El Nombre helps Little Juan and Maria buy jelly beans for 20p from a coin-operated machine. He explains that two 10p coins have the same value as a single 20p coin.

- This clip is from:
- Numbertime, Money: Coin equivalents to 20p

- First broadcast:
- 27 October 2000

A demonstration on how to collect data about favourite flavours of ice cream and organise the data into a block graph. How can we find out which is the most popular ice cream flavour? We could try asking the question 'Do you like ice cream?' but is this a suitable question? If not, why not? We must ask the right questions to get the right data. Once collected, it is important to sort the data. You can display data visually in a block graph for easy interpretation.

]]>This footage shows how a bar tender working in a trendy Manchester bar needs to have a working knowledge of estimating in order to prepare drinks both safely and quickly. The interviewee is intelligent and articulate, loves his job and has won awards for cocktail mixing. This footage could be used in PSHE discussions on alcohol use and abuse. Teachers are asked to be aware that the footage shows alcoholic drinks being prepared and on display.Find out more about this series on the NCETM website: http://www.ncetm.org.uk/resources/13955

]]>This footage shows the owner of a building firm out on site with some of his workers. By his own admittance he did not see the relevance of the mathematics he learnt at school but uses it every day of his working life. He would like to encourage his own children to work hard at mathematics as he know appreciates its value and importance.

Find out more about this series on the NCETM website: http://www.ncetm.org.uk/resources/13955

This video shows a designer working on t shirts and includes shots of the timing involved in the printing process as well as reference to costing, profits, tax and pattern cutting. It could be used as an example of aspects involved in creating and sustaining a business. The company filmed had a stand at the recent Manchester Fashion Week (2008).Find out more about this series on the NCETM website: http://www.ncetm.org.uk/resources/13955

]]>Using footage taken at Toni and Guy Hairdressers in Manchester the interviewee describes how important a working knowledge of mathematics is in the world of hairdressing from the angle of the cuts through to taking payments at the till for products, cuts and colours. A haircut is made more difficult due to the shape of the head being 3D. How the cost of a cut varies from Manchester to Tokyo can bring in a wealth of mathematics to include currency conversion.Find out more about this series on the NCETM website: http://www.ncetm.org.uk/resources/13955

]]>This footage was filmed at Boots the Chemist on market Street in Manchester and shows a pharmacist at work carrying out various duties such as making up prescriptions for patients. The Pharmacist has a very important job as s/he has to check that the dosage is correct for the age and weight of the patient and is dispensed correctly. In the footage the Pharmacist refers to Pascals Triangle and this led to a very intense debate amongst the planning group.Find out more about this series on the NCETM website: http://www.ncetm.org.uk/resources/13955

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