The Super Curriculum

Mathemacs

The Super Curriculum

Super curricular activities are those that take your regular curriculum further. They take the subjects you study in the classroom beyond that which your teacher has taught you or what you’ve done for home learning. For example, you may go into more depth on something you picked up in the classroom, or learn about a new topic altogether.

These activities are normally in the form of extra reading but they can take many other forms, like watching videos online, downloading podcasts, attending lectures, visiting museums or entering academic competitions.

Engaging in super curricular activities will help you develop a love for your favourite subject or subjects. In this booklet, there are a range of activities, suggested by your teachers. They are by no means exhaustive lists but should get you started. I would encourage you to share ideas and opportunities you come across with your teachers so that, over time, the recommended activities in this booklet can grow.

In the future, employers or universities will be interested to hear about what super curricular activities you have engaged in; they will be interested in what you have learnt and impressed by your efforts.

I wish you well in your pursuit of super curricular activities!

Dr Caroline Creaby Deputy Headteacher: Curriculum

Super Curriculum – Year 7 Subject:

The Everything Kids: Maths Life of Fred Maths, by Stanley Wild Maths – explore, Puzzle Book, by Meg Clements F. Schmidt imagine, experiment, create! – - Puzzles, games and - Series of stories based on try and explore one of the games trivia; find how to make 5 year math genius Fred from the nrich site: maths fun and Gauss http://wild.maths.org/ entertaining.

King’s College London – Research Pythagoras and Create a song or rhyme visit KCL site and attempt one of the maths he explored – find out to help you remember your the weekly challenge all his contributions to modern formulae competitions – Mathematics https://www.kcl.ac.uk/mathsscho ol/Weekly-Maths- Challenge/Weekly-maths- challenge.aspx

Create poster on Science Museum – Maths Legoland – Imagination everything you know about Gallery - visit newly open section Centre – Lego Education different shapes – develop it of Science Museum involving featuring Mindstorms – visit further with additional facts you various aspects of Maths maths and programming learn through research; http://www.sciencemuseum.org.uk workshop in Legoland /visitmuseum/plan_your_visit/exhib https://www.legoland.co.uk/explo itions/mathematics?keywords=mat re-the-resort/attractions/ hematics

Watch biography based drama Listen to the podcast on A Brief History of on Srinivasa Ramanujan Indian mathematics, logic and puzzles Mathematics, by Marcus du Mathematician in Trinity College, with Chaim Goodman-Strauss Sautoy – podcast – 10 episodes England – ‘The Man Who Knew and Kyle Kellmas series – The BBC 4 Radio – Infinity’ directe by Matthew Brown Math Factor http://www.bbc.co.uk/programme http://mathfactor.uark.edu/ s/b00srz5b

Adding and subtracting Watch the documentary: The BBC fractions / Fractions / Pre- Story of 1 – history of numbers Documentary The Great Math Algebra / Khan Academy presented by , directed by Mystery BBC Documentary - Online tutor on adding Nick Murphy 2015 – and subtracting fractions https://www.youtube.com/watch? - https://www.youtube.co v=JiH7lMGW60A m/watch?v=52ZlXsFJULI -

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Super Curriculum – Year 8 Subject: MATHEMATICS

Alex’s Adventures in The Colossal Book of Short Explore some of the Numberland, by Alex Bellos Puzzles and Problems, by Martin problems from the nrich.maths - an exhilarating cocktail of Gardner site to develop your problems history, reportage and - collection of short and solving skills - mathematical proofs that inventive problems by popular http://nrich.maths.org/secondary- will leave you awestruck mathematics and science lower writer

Design a house or a King’s College London – visit Wild Maths – explore, KCL site and attempt one of the school, producing full scale imagine, experiment, create! weekly challenge competitions – drawing, calculating area and – try and explore one of the https://www.kcl.ac.uk/mathsschool/ showing all the relevant games from the nrich site: Weekly-Maths-Challenge/Weekly- measurements. Complete the http://wild.maths.org/ maths-challenge.aspx task by creating Paper or cardboard model.

Bletchley Park – visit Science Museum – Maths Circle Song – use it to Blechley Park and explore the Gallery - visit newly open section memorise area and circumference world of coding and maths of Science Museum involving formulae – https://www.bletchleypark.org. various aspects of Maths https://www.youtube.com/watch?v uk/visit-us http://www.sciencemuseum.org.uk/ =-z4SUypJZxo visitmuseum/plan_your_visit/exhibit ions/mathematics?keywords=math ematics

Listen to maths Listen to Travels in a Beautiful Equations (2010) – BBC documentary featuring documentary podcast – Mathematical World podcast, by Relatively Prime, by Samuel Peter Rowlett - featuring Stephen Hawkins and Matthew Collins (maths and art together) Hansen – mathematicians talking about their http://relprime.com/ work as well as features on maths history and maths news; https://www.youtube.com/watch?v http://www.travelsinamathematical =059xIxwb3tM world.co.uk/

Documentary : Top 10 BBC Universe Documentary Watch Movie based on equations that changed the The Great Math Mystery BBC mathematician Alan Turing’s world | 1080p - Documentary 2015 – involvement in code breaking of https://www.youtube.com/watc https://www.youtube.com/watch?v= Enigma – ‘ The Imagination h?v=0K-t090uvL4 JiH7lMGW60A Games’ directed by Morten Tyldum

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Super Curriculum – Year 9 Subject: MATHEMATICS

How not to be wrong: The Maths Behind the Magic, This is not a Maths Book, by The Hidden Maths of by Adam Boddison – exploring Anna Weltman – fusion of maths Everyday Life maths and magic and art/drawing – work through Read Jordan Ellenberg’s fun drawing challenges with a bestseller - it shows us, maths mathematical basis touches on everything we do, and a little mathematical knowledge reveals the hidden structures that lie beneath the world's messy and chaotic surfaceResearch. Srinivasa Wild Maths – explore, King’s College London – visit Ramanujan and his imagine, experiment, create! – try KCL site and attempt one of the influences on modern and explore one of the games from weekly challenge competitions – Mathematics the nrich site: https://www.kcl.ac.uk/mathsschool http://wild.maths.org/ /Weekly-Maths-Challenge/Weekly- maths-challenge.aspx

Science Museum – Maths Bletchley Park – visit Blechley Listen to maths documentary Gallery - visit newly open Park and explore the world of podcast – Relatively Prime, by section of Science Museum coding and maths Samuel Hansen – involving various aspects of https://www.bletchleypark.org.uk/vi http://relprime.com/ Maths sit-us http://www.sciencemuseum.or g.uk/visitmuseum/plan_your_vi sit/exhibitions/mathematics?ke ywords=mathematics

Watch Movie based on Man and the rise of Listen to Travels in a Biography of John Forbes Nash Civilisation episode 1 – ‘The Mathematical World Jr. – mathematical genius – ‘A Beginnings of Numbers’ - podcast, by Peter Rowlett - Beautiful Mind’ directed by Ron https://www.youtube.com/watch?v featuring mathematicians Howard =DVngFvtZwAU talking about their work as well as features on maths history and maths news; http://www.travelsinamathemat icalworld.co.uk/

Man and the rise of Man and the rise of Be inspired by series of Civilisation episode 2 – ‘The Civilisation episode 3 and 4 – Man and the rise of Civilisation Elements’ - ‘The Divinity of Numbers’ & ‘The documentaries and create the https://www.youtube.com/watc world in Motion’ - time line of key number and h?v=4CReewM5VHw https://www.youtube.com/watch?v= maths related discoveries. DYqrbRLclqs https://www.youtube.com/watch?v= hwHccZ_9aLg

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Super Curriculum – Year 10 Subject: MATHEMATICS

Why do buses come in What is Mathematics? An Listen to maths documentary threes? The Hidden Mathematics elementary approach to Ideas and podcast – Relatively Prime, by of Everyday Life. Methods Samuel Hansen – http://relprime.com/ Rob Eastaway and Jeremy Richard Courant’s book offers an Wyndham’s book will change the entertaining and accessible portrait way you see the world! of the mathematical world.

Research the life of Alan Turing Research and The infinite hotel paradox and his contribution to the contributions to the world of https://www.youtube.com/watch?v= development of Mathematics. Mathematics. Uj3_KqkI9Zo&feature=youtu.be This website provides a starting point… https://nrich.maths.org/8050

Create a revision video Create a written revision guide Research the origins of PI and suitable for Key Stage 3 students on or revision resource for Key Stage 3 how to derive it. a topic of your choice students on a topic of your choice How many decimal places can you remember it to?

The Four Colour Map Theorem Develop your understanding of https://youtu.be/NgbK43jB4rQ irrational numbers and prove that Research the Sequence root 2 is irrational and how it occurs in nature. This could be a starting point. https://www.khanacademy.org/math/ algebra/rational-and-irrational- http://www.maths.surrey.ac.uk/hoste numbers/proofs-concerning- d-sites/R.Knott/Fibonacci/fibnat.html irrational-numbers/v/proof-that- square-root-of-2-is-irrational

Bletchley Park – visit Blechley Man and the rise of Be inspired by series of Man Park and explore the world of coding Civilisation episode 1 – ‘The and the rise of Civilisation Beginnings of Numbers’ - and maths documentaries and create the https://www.bletchleypark.org.uk/visi https://www.youtube.com/watch?v= time line of key number and t-us DVngFvtZwAU maths related discoveries.

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Magical Mathematics: The The equation that couldn’t Listen to maths mathematical ideas that be solved: How documentary podcast – animate great magic tricks Mathematical Genius Relatively Prime, by Samuel Discovered the Language Hansen – Persi Diaconis and Ron of http://relprime.com/ Graham’s book reveals the Mario Livio explores the laws of secrets of fun-to-perform card symmetry, elegantly unifying trciks scientific and artistic principles.

Research Pierre de Fermat Research the life and work of Spaghetti and all his discoveries in Carl Friedrich Gauss and develop Trigonometry… Watch the CALCULUS your understanding of his demonstration and try it yourself contributions to mathematics. to develop your understanding.

Create a revision video Create a written revision Develop your understanding suitable for a Year 10 student on guide or revision resource for a of series and surds by exploring a GCSE topic of your choice. Year 10 student on a topic of and attempting this problem. your choice. https://nrich.maths.org/901

Discover GAME Can you prove the Enjoying solving quadratic THEORY by watching quadratic formula? equations? Test yourself on this video Find out how by watching this these MEGA QUADRATIC video. EQUATIONS. https://www.youtube.com https://www.khanacademy.org/m /watch?v=MHS- ath/algebra/quadratics/solving- http://nrich.maths.org/11009 htjGgSY&feature=youtu.b quadratics-using-the-quadratic- e formula/v/proof-of-quadratic- formula

Can you take the square root Contribute to a year-wide Develop your problem solving of a negative number? revision resource to support each skills by trying these UK Maths other in revising for GCSE Challenge questions Learn about IMAGINARY numbers here… http://www.drfrostmaths.com/hom ework/browse.php?mode=ukmt https://www.khanacademy.org/m ath/algebra2/introduction-to- complex-numbers-algebra- 2?t=practice

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Super Curriculum – Year 12/13 Subject: MATHEMATICS

Read 17 Equations that Read The Man Who Knew The Mathematics of changed the World by Ian Infinity by Robert Kanigel Ciphers by S.C Coutinho Stewart The Mathematics of Ciphers: The Man Who Knew Infinity: Number Theory and RSA Seventeen Equations that Life of the Genius Ramanujan Cryptography by S.C. Changed the World by Ian New Ed by Robert Kanigel Coutinho (ISBN:9781568810 Stewart (ISBN: 9781846685316 (ISBN: 9780349104522) 829)

The Mathematics Dictionary A History of Mathematics by Principal Mathematics Carl B Bouger A History of Mathematics, Third Edition 3rd Revised edition by Carl B. Boyer, Uta C. Merzbach (ISBN: 8601405590862

Paradoxes in Mathematics Read some of The Math Things to make and do in the by Stanley J Farlow Book by Clifford A Pickover fourth dimension by Matt Parker Paradoxes in TheMath Book: From Mathematics (Dover Books Pythagoras to the 57th Things to Make and Do in the on Mathematics) [Stanley Dimension, 250 Milestones in the Fourth Dimension by Matt Parker J. Farlow] on ... There's more History (ISBN: 9780141975863) than one way to define of Mathematics(Paperback) a paradox. ISBN-10: ... ISBN: 9781402788291 048649716X; ISBN-13: 978- 0486497167 Mathematics by Jan Concepts of Modern The map of Mathematics – Gullberg Mathematics by Ian Stewart Domain of Science Concepts of Modern https://www.youtube.com/watch?v Mathematics: From the Birth of Mathematics by Ian =OmJ-4B-mS-Y Numbers by Jan Gullberg, Stewart (ISBN: 8601400596593) Peter Hilton (ISBN: 9780393040029)

How does maths guide our Watch use of mathematics: Hidden Figures ships at sea? Real life applications of Maths The story of a team of female African-American mathematicians https://www.youtube.com/watch who served a vital role in NASA ?v= during the early years of the U.S. AGCUm_jWtt4 space program

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Super Curriculum – Year 12/13 Subject: MATHEMATICS

The Imitation Game Geoff Riley videos Julia Robinson and Hilbert's Tenth Problem https://www.youtube.com/channel/U A one-hour biographical http://www.imdb.com/title/tt208 Ce83jLdZ3PuqVwAHe6B3U2A documentary, Julia Robinson 4970/ 1. and Hilbert's Tenth Problem tells 2. the story of an important American mathematician against a background of mathematical ideas. Mathswatch VLE Documentary: Particle Fever Film: The Story of 1

Centre id: sandringham Particle Fever follows six brilliant The Story of 1 is scientists during the launch of the a BBC documentary about the Login, use your network login Large Hadron Collider, marking the history of numbers, and in being careful about case. start-up of the biggest and most particular, the number 1. It was Include all numbers. expensive experiment in the history presented by former Monty of the planet, pushing the edge of Python member Terry Jones. It human innovation. was released in 2005. https://vimeo.com/56113926 VSauce - Supertasks Research how Ramanujan got Research into Daniel accepted into Cambridge Bernoulli and his works

research Ada Lovelace Research Ramanujan on Research Alan Turning and her works http://www.famous- mathematicians.com/

Research Carl Friedrich Research the creation of Research the works of John Gauss Algebra Forbes Nash Jr

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Super Curriculum – Year 12/13 Subject: MATHEMATICS

visit Bletchley Park and Visit Mechanical, Art & Design Outreach at mathematical explore the world of coding and museum Stratford-upon-Avon Institute Oxford maths themadmuseum.co.uk/ https://www.bletchleypark.org.uk/ visit-us

London Maths Trail created Bank of England Museum National Museum of by Chris Olley at Kings College www.bankofengland.co.uk › Mathematics in New York if you London Home › About the Bank ever happen to be there…. www.themathszone.com/

Visit a finance company Science Museum Royal Mail distribution centre www.sciencemuseum.org.uk

University Lectures eg Oxford Welcome Collection Find out and attempt Fermat’s Last Theorem What is the Last Theorem? - Simon Singh

Design a mathematically Bridge crossing question Hodge Theory and perfect paper aeroplane and Activity: The Seven Bridges of Electromagnetism describe how it is so Königsberg - Math is Fun

Research Dr Igor Kntorovich Use recipes in maths code Play Countdown – Problem solving, proving etc to make cakes

Help teach GCSE students Proving Pythagoras Research the Golden Gate Theorem Bridge and how the curvature of the earth changes its structure www.cut-the- knot.org/pythagoras/

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