Further Maths Curriculum Area by Trinity Sixth Form Academy https://padlet.com/Trinity_Sixth_Form_Academy/further_maths Welcome to the further maths curriculum area at Trinity Sixth Form Academy. en-us 2020-04-18 15:51:49 UTC 2026-06-25 12:20:12 UTC hello@padlet.com https://padlet-uploads.storage.googleapis.com/531091985/9536ce2b2a2dcd65e4a7fd6a9dccb8ef/Sketch001.tif Activity 1: - Make a conjecture (Video assistant) tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/533250645 2020-04-27 12:13:59 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/533250645 Activity 2: Simultaneous Magic(?) - Video assistant tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/551959609 2020-05-05 12:54:08 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/551959609 Activity 2: What is an arithmetic sequence? Here we look at solving simultaneous equations whose coefficients come directly from such a sequence. What do you notice? tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/551985757 2020-05-05 13:04:15 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/551985757 Activity 3: The Gold and Silver Cuboid - Video Assistant tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/569682251 2020-05-13 10:25:38 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/569682251 Activity 3: The Gold and Silver Cuboid. tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/569683633 What links a cubic to a cuboid? Explore more here...

]]> 2020-05-13 10:26:25 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/569683633 Activity 4: Tangent through the Origin - Video assistant tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/584587455 Some practice at using Desmos and looking for links between a curve and a line. What will you notice? Can you prove it? ]]> 2020-05-20 10:57:51 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/584587455 Activity 4: Tangent through the origin tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/584590761 2020-05-20 11:00:06 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/584590761 Activity 5: Video tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/598447492 Simple pleasure for half term. Donald Duck explores the Maths around us in this sweet 30 minutes cartoon. 

]]> 2020-05-28 06:46:57 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/598447492 Activity 5: GIF tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/598469807 Here's a magical lake- when you place an object in the lake, the object picks up it's own reflection and makes a fractal. 
#notagif]]> 2020-05-28 06:58:11 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/598469807 Activity 5: Article tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/598488974 In A-Level, Maths, one of the elements is mechanics- the study of how objects interact with each other and move. Throw a ball, what's the curve? Throw a shuttlecock... what's the curve now?

]]> 2020-05-28 07:10:29 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/598488974 Activity 5: Cut through tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/598498781 This is not a RISP, but a multiple choice question from a Senior UKMT paper. The film X+Y was about UKMT challenges and features a young Otis from Netflix's S*x Education facing similar problems...  How could we turn this into a richer problem? Maybe if the points weren't midpoints...  ]]> 2020-05-28 07:16:21 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/598498781 Activity 6: Article tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/608381217 Dr Nira Chamberlain is credited one of the UK's top 100 scientists. Besides his scientific prowess, he is also an advocate for black mathematicians. In this article he has collected his Black Heroes of Maths. Thomas Fuller stands out for me for highlighting the absurdity of the assumed intellectual superiority that white people believed to have over black people in the 1700s. ]]> 2020-06-03 08:09:25 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/608381217 Article 6: Video tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/608404357 "I didn't feel the segregation at NASA, because everybody was doing research, everybody had a mission and you worked on it."

There are plenty of mathematically rich maths films available to watch. One of the most recent is Hidden Figures (2015), about a group of black women working for NASA. Highly recommended. Katherine Johnson is one of the women protrayed in the film, there are many interviews with her, this is one of the best.

]]> 2020-06-03 08:23:49 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/608404357 Activity 6: GIF tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/608418761 This is called Pascal's Triangle.  Can you see how it if formed? What patterns can you spot? 
Extend the triangle yourself to see if you can spot some more. 

]]> 2020-06-03 08:32:16 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/608418761 Activity 6: Ramanujan's Lentils tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/608428633 A brief introduction to partitioning numbers and a chance to practice your recording and notation.
 ]]> 2020-06-03 08:38:12 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/608428633 Activity 7: There are 204 squares on a chess board. Or are there? tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/621169659 Prove that there are 204 squares on a chess board. 
What patterns do you spot along the way? Can you work out how many squares there will be in a 9x9 board? 
How about an 8x9 one?]]> 2020-06-10 17:35:36 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/621169659 Activity 7: Video tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/621172262 Matt Parker is a Stand Up Mathematician. He travels around the world visiting schools, train stations with a Platform 0 and wobbly bridges. Watch his Google Talk about repercussions of mathematical mistakes. ]]> 2020-06-10 17:37:17 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/621172262 Activity 7: GIF tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/621176761 The art of empty space is highly mathematical

]]> 2020-06-10 17:39:59 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/621176761 Activity 7: Article tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/621216833 We have returned to schools in small bundles of people- this article looks at the geometrical impossibilities of some of the rules we have to adhere to.]]> 2020-06-10 18:04:59 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/621216833 Activity 8: Let's go fly a kite! tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/631785252 2020-06-18 08:18:31 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/631785252 Activity 8: Let's go fly a kite. tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/631820445 Here are 2 simple proofs for you to have a go at. They'll test your knowledge of surds, ratio and pythagoras. ]]> 2020-06-18 08:46:39 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/631820445 Activity 8: Video tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/631822289 Guess Who? Here's a short video on how to win. You'll be doing a statistics module in Further Maths - winning is all to do with stats! Unfortunately so is losing!]]> 2020-06-18 08:48:00 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/631822289 Activity 8: Gif tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/631825447 What does the GIF below prove? Is it an acceptable proof? Can you find any other ways of proving the same thing?]]> 2020-06-18 08:50:32 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/631825447 Activity 8: Article tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/631842954 Can chickens count? They seem to know when one of their little chicks is missing...What about Bees? What maths do they know? ]]> 2020-06-18 09:03:49 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/631842954 Activity 9: Triangle of 1s tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/638498978 Here is the PDF to accompany this activity's video.]]> 2020-06-24 08:45:42 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/638498978 Activity 9: Triangle of 1s tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/638502664 This challenge is all about a special triangle. ]]> 2020-06-24 08:49:17 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/638502664 Activity 9: Video tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/638508109 Completing the square and graphs. MathCentre was made in Leeds to help A Level students. The videos are simple, accessible and … dare I say it, relaxing.
Explore the site to find more to help you catch up. ]]> 2020-06-24 08:55:13 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/638508109 Activity 9: GIF tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/638509666 Keeping the quadratic theme... What's going on here? Have you used Algebra tiles before? ]]> 2020-06-24 08:57:04 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/638509666 Activity 9: Article tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/638515389 This is like something out of a film. . . .  Murderer solves ancient problem in prison!
*We do not consider prison as an alternative education to 6th Form college! ]]> 2020-06-24 09:03:08 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/638515389 Activity 10: Alex Bellos' Challenge tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/644001486 Alex Bellos wrote a book called Alex's Adventures in Numberland. It's great! Every week he presents us with 3 problems in the Guardian newspaper for free. Here is this week's. Keep your eye on them in the holidays. The solutions are always posted online too.

  The three directors of a bank are deeply suspicious of one another, and agree a system of locks and keys for the bank’s safe, such that:

  • No single director can open the safe alone.
  • Any two directors can open the safe by pooling their keys.
What is the smallest number of locks and keys they need to open the safe, and how do they distribute them?

 
]]> 2020-06-30 13:50:00 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/644001486 Activity 10: Video tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/644004107 Grant Sanderson is a math's YouTuber, he's made 10 videos during lockdown for you to get a new understanding of topics and improve your problems solving, here's the first one.]]> 2020-06-30 13:52:39 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/644004107 Activity 10: GIF tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/644017515 One of the most important skills in math's is learning how to be systematic and record your results. What is this GIF recording? ]]> 2020-06-30 14:07:06 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/644017515 Activity 10: Article tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/644019641 Advice to a Young Mathematician by Michael Atiya, a Lebanese mathematician.
You're all young mathematicians. Read it. Take his advice.]]> 2020-06-30 14:09:11 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/644019641 Activity 10: Article #2 tchadwick3 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/646753435 Mathematical Things to Do!
An amazing list of things you could do to top up your maths learning.]]> 2020-07-03 10:43:01 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/646753435 Visit Our Website jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957801744 2026-06-18 14:00:09 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957801744 Welcome to Maths! jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957804460 Studying mathematics opens up a multitude of possible career pathways as well as encouraging you to think deeply and meta-cognitively about its underlying principles.


Meet the Team:

We have 3 full time staff in our mathematics department:

  • Ms J Bradbury (curriculum leader) - A Level maths/ further maths

  • Mr P Brockway - A Level maths / further maths/ core maths

  • Mr Sam Bates - A level maths



For further information about mathematics at TSFA, please contact the curriculum leader, Ms Bradbury, using


jbradbury@sixth.trinitymat.org

contactus@sixth.trinitymat.org

]]> 2026-06-18 14:02:34 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957804460 Further Maths - Curriculum Map jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957804698 2026-06-18 14:02:53 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957804698 Further Maths - Curriculum Map jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957804733 2026-06-18 14:02:57 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957804733 DESMOS Taster Lesson: Matrices jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957805453 Another interesting introduction; this time to Matrices by Paul Chillingworth]]> 2026-06-18 14:03:52 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957805453 DESMOS Taster Lesson: Complex Numbers jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957805566 Give yourself a head-start with this excellent online lesson! ]]> 2026-06-18 14:04:00 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957805566 Activity 1: Make a conjecture jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957805665 Each activity has an uploaded video of me starting an investigation for you to continue... 
This one is called Brackets In/Brackets Out. ]]> 2026-06-18 14:04:10 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957805665 Problems 1 - 4 from FM Taster Lesson jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957805796 Feel free to email me if you would like to see the solutions!]]> 2026-06-18 14:04:21 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957805796 Activity 1 - Article jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957805903 Trachette Jackson works in Mathematical Oncology, that's the study of cancer. Why would oncology need Maths? Find out here. 

]]> 2026-06-18 14:04:29 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957805903 Activity 1: Graph jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957806003 A parabola and a straight line. 
Change the coefficients using the sliders. What if... a=0? b=0 etc.. 
What if a<0, b<0 etc...
How are the coefficients linked? What do you notice about the relationship between the line and the curve?  ]]> 2026-06-18 14:04:36 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957806003 Activity 1: GIF jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957806096 What is it showing? Do you recognise the graph? How is it created?
What is the same/different about tan(20) and tan(-20)?
For which angles is inverse tan greater than 1? Why is this?]]> 2026-06-18 14:04:43 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957806096 Activity 1: Documentary jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957806175 Hans Rosling is (was) a superstar. His website, GapMinder, has applications to geography, economics, history, biology... and of course maths. 
Here he showing the power of data, something that we are all too aware of watching the pandemic spread.

]]> 2026-06-18 14:04:50 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957806175 Activity 2: Article jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957806349 John Conway died of Coronavirus in April 2020. He's one of the most well know mathematicians of this century. ]]> 2026-06-18 14:05:04 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957806349 Activity 2: Graph jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957806462 Press play. Watch the bubbles sink, grow, shoot up or shrink. What is going on? Look at the axes. What happens in WW1? WW2? What will happen for 2020? Can you track your favourite country, how does it compare to other countries?]]> 2026-06-18 14:05:13 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957806462 Activity 2: GIF jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957806603 What is a parabola? Is there only one way of drawing them?

]]> 2026-06-18 14:05:24 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957806603 Activity 2: Documentary jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957806709 Hannah Fry is a celebrity mathematician (if you'll allow such a thing) who is regularly called upon for BBC programmes. She has written books about the Maths of Christmas, monopoly and the future. Here is a lecture aimed at children, but thoroughly engaging. Look out for her books on Amazon, we'll try and get some for the library. ]]> 2026-06-18 14:05:33 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957806709 Activity 3: Article jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957806875 We celebrate Florence Nightingale's 200th birthday this year. She understood the power of diagrams over tables to show strong connections and trends. This short article tells you a bit about her work in the Crimean War.]]> 2026-06-18 14:05:46 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957806875 Activity 3: Documentary jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957806949 Podcast -Stop working, lie down and put this in your ears. 
It's a weekly podcast about numbers in the news, and will encourage you to question any interpretation data you are given by the media.   ]]> 2026-06-18 14:05:53 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957806949 Activity 3: GIF of the week jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957807024 Something completely new for me... 
Viviani's theorem: From any point within an equilateral triangle, the sum of the perpendicular distances to the three sides is equal to the height of the triangle. ]]> 2026-06-18 14:06:01 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957807024 Activity 4: Article jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957807107 Rob Eastaway was booked to come into school before C-19 kicked off. He loves a good puzzle - here he looks at a classic and expands it further than you'd think you ever could!]]> 2026-06-18 14:06:07 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957807107 Activity 4: Video jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957807233 A Viral Sudoku video? 3 million views?! People are glued for the whole 25 minutes
Yup! It's lockdown. You'll watch anything. 
Now I don't think Sudoku is doing maths- but the amount of reasoning and logic this guy uses shows us otherwise. ]]> 2026-06-18 14:06:17 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957807233 Activity 4: GIF jbradbury13 https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957807338 Ying Yang, how two opposite forces can come together for unity. Good and bad, happy and sad, sine and cosine. 
Watch ONE LINE. Compare it with another line. What's going on?]]> 2026-06-18 14:06:27 UTC https://padlet.com/Trinity_Sixth_Form_Academy/further_maths/wish/3957807338