Showing posts with label Further Maths. Show all posts
Showing posts with label Further Maths. Show all posts

30 August 2026

5 Maths Gems #202

Welcome to my 202nd gems post. This is where I share some of the latest news, ideas and resources for maths teachers.

1. Visual Maths Builder
@mrallanmaths shared his new website visualmathsbuilder.com which helps teachers create clear, classroom-ready representations. It's free and no login is required - use it to create animated visual models that show how and why methods work.


2. Complex Numbers
Maths teacher Neil Kendall has developed another free resource to add to his incredible collection at korovatron.co.uk which includes Graphiti, Vectorama and Trimension. His new resource Komplexiti is for teaching complex numbers. Essentially it's an interactive Argand diagram designed for A level Further Maths but has graphing calculator features too.

You can enter complex numbers in any form and display them as points or vectors, solve any equation (e.g. roots of unity) and see the roots plotted, and plot loci in the complex plane including loci inequalities. View a gallery of its features here.


If you're teaching complex numbers then also check out Dr Austin's new resources for this topic.


I was recently asked if I could make a resource library for A level Further Maths. I mainly use MadasMaths, ZigZag and Integral in my further maths teaching, but as both Zig Zag and Integral are paid resources it's hard for me to make a comprehensive free resource library for this qualification.

3. Core Maths Compendium
I rarely get the chance to feature Core Maths resources in my Gems so I was delighted to spot new website edgarpoels.github.io/Core-maths-compendium/index.html from @edgarpoels. This free AQA Core Maths resource hub for teachers features slide decks, worksheets, mocks, revision booklets, end-of-topic tests and exam-style papers. This collection of resources is extensive - Core Maths teachers will be very grateful to Mr Pohl for pulling all this together and sharing it for free.


4. Website Summer Updates
I've seen some new websites and some website updates over summer, including:
  • The incredibly useful PowerPoints on gcsemathsquestions.co.uk have been updated with November 2024 and June 2025 questions. The best thing about this site is that it features questions from Edexcel, OCR and AQA, which you don't get anywhere else. Because it pulls together three exam boards, there's a huge bank of exam questions for every topic. I use it all the time!
  • Maths Rocket's question database has had a major update over the summer. Search a topic, get all the questions that have ever been asked on it, click through to the paper and mark scheme.
  • Maths teacher Jon Glover contacted me about his new site mathsvault.uk. The site includes cover lesson packs and lots more. Jon is running a Countdown competition for teachers where you can win departmental access to the website. 
  • I also received an email about mathorio.com which features over 300 free step-by-step maths lessons with worked examples, interactive graphs, and quizzes.
  • MathsPad has some fantastic new resources for subscribers including Interactive Direct Proportion Bars, Cumulative Review Exercises and new resources for a number of topics including 'two triangle trigonometry'.


5. Mathsaurus Puzzles
My youngest daughter is now starting Year 8 - last year she used an excellent free course on mathsaurus.com to prepare for the UKMT Junior Maths Challenge. Because she's signed up to emails from Mathsaurus, which arrive in my inbox, I spotted that she was recently offered a free puzzles course.


There are 45 puzzles in the course, everything from chessboards and river crossings to missing digits, magic squares and overlapping shapes. Every puzzle is accessible enough for anyone to have a go at. The puzzles come in nine sets of five, with printable worksheets and animated video solutions.

These might be helpful for teachers running puzzle clubs. Alternatively, let parents and students know about the course so they can access it directly.


HoD Space
If you missed my blog post about my new project HoD Space then do check it out. Since I wrote it, HoD Space has really taken off. We already have nearly 300 members, which is amazing given it's been the summer holidays and a lot of people only engage with professional development in term time. I'm expecting a huge influx of new members over the next few weeks! We are still offering a completely free four week trial if you sign up any time in September, so join us now to see what it's all about - there's no obligation to join when your trial ends. I've missed EduTwitter very much since its demise a couple of years ago and I feel like HoD Space has brought that magic back! It's like Twitter but with longer answers... I'm loving it. I get to chat to maths teachers every day, and share ideas and feel inspired. And learn a lot! (the conversations about maths department budgets and about Ofsted are good examples! Join if you want to see them...). We're still waiting for responses to a couple of posts: one about Welsh medium resources and one about the exam structure in schools in Northern Ireland, so if you can help with either of these please join - you don't have to be a Head of Maths.


Update
The end of the summer holidays is fast approaching for me. I have mixed feelings about the year ahead: I'm very excited to be teaching Year 10 for the first time in ages - I get to teach surds, my favourite topic! - but I'm a bit nervous about next summer's early exam dates (two GCSE papers and one A level paper before May half term!) and the squeeze on teaching time. We don't start lessons until 8th September which is very late. I'm also worried about our Year 12 class sizes - we currently have 30 signed up for our A level Further Maths class which is a bit bigger than I'd like. 

This summer my department smashed our A level and GCSE results (we're a totally non-selective state school and we achieved 21% Grade 9 in GCSE and, coincidentally, 21% A* in A level!) which was wonderful. August was a great month! I got to celebrate the wedding of Sarah, a wonderful maths teacher who I've worked with for the last seven years, who married science teacher Sam in a beautiful wedding in Kent. 


And Jamie of drfrost.org married Esther in Taiwan, and a group of us enjoyed a lovely afternoon celebrating with them in Jamie's garden a few weeks later.


I love getting back in the classroom in September, but am always sad to say goodbye to the summer holidays. 

I'm looking forward to seeing lots of you at BCME in October half term. 

I'll leave you with cute Chrome Dinosaur Game shared with me by Alex Oliinyk. This is a free, ad-free, no-login version of the Chrome dinosaur game (the one everyone plays when the internet dies). Pupils play a 30-second round and instantly have real data to work with: site-wide, the median score is about 175 while the mean is nearly 590, so comparing class data against the real player distribution opens up skew, outliers, and why the mean can mislead. There's a printable lesson plan and pupil worksheet mapped to the National Curriculum. Enjoy!






30 October 2025

5 Maths Gems #193

Welcome to my 193rd gems post. This is where I share some of the latest news, ideas and resources for maths teachers.

1. 1st Class Maths 
I'm always happy to see new resources from 1st Class Maths. The latest is a set of exam style questions (in both AQA and Edexcel style) on reverse percentages.


Resources for compound interest and loci are coming soon.

2. Certificate in Further Maths
AQA's Certificate in Further Maths is a very popular qualification - I have a page dedicated to it here. I like Andy Lutwyche's latest resource: a Further Maths topic list with examples of questions for every topic. There are two versions: one with Sparx Codes, one without. This is a really helpful revision resource for students. Thank you Andy!


3. Dr Austin
Dr Austin has published some new percentages resources including Mixed Percentage Change Fill in the Blanks.


And for A level, there are new resources for graphical inequalities, algebraic fractions and algebraic division. 


4. Quadratic Inequalities
@AddvanceMaths published a booklet for teaching quadratic inequalities. It starts with prerequisite skills (solving quadratics, drawing inequalities on number lines and sketching quadratic graphs). It then has examples of how to solve quadratic inequalities, loads of increasingly difficult practice questions, and some problem solving.  Answers are provided too.


5. Circle Theorems
@MrLevMaths created a great set of questions which interweave circle theorems and trigonometry.



Update

I had a great day out at #mathsconf39 in London a couple of weeks ago. It was very well attended. I presented on Don Steward's resources. Loads of people told me they'd never heard of Don Steward - this made me sad, and I realised how important it is to keep sharing his tasks and make sure that new teachers joining the profession are made aware of everything he so generously shared. 

Read Atul Rana's blog post for a great write up of #mathsconf39. As always happens in October, this mathsconf was the day after an Inset Day for me, so I had the pleasure of attending maths conferences two days in a row. Here's a photo of part of my team at Inset Day on the Friday, and a photo from the pub after #mathsconf39 on the Saturday. 




Finally, I'll leave you with this video from Mitchell and Webb which made me laugh.

 





30 May 2023

5 Maths Gems #171

Welcome to my 171st gems post. This is where I share some of the latest news, ideas and resources for maths teachers.

1. GCSE Revision Update
There's no shortage of GCSE revision resources but I made another revision mat anyway, because I needed one for a revision session the day before Paper 2.

There are separate versions for Foundation and Higher and they can both be downloaded from TES.


There have been a number of predicted papers and topic checklists made following GCSE Paper 1. For Edexcel, Adam Creen has collated them all here.

My school does AQA and we'll be making use of the predicted papers from Maths Planner and 1st Class Maths in the between-exam period.

On the morning of Paper 2 and Paper 3 we'll use my breakfast revision resources. We did the same for Paper 1 - we had two hundred students warming up in the hall. There was a great buzz and the resources worked really well.


2. Probability
I'm teaching probability to Year 7 after half term. I'll be making use of @TickTockMaths' new resource.


I always like the style of Richard's PowerPoints - you can find the whole collection on ticktockmaths.co.uk.

@taylorda01 also shared a probability trees resource, part of his Backward Faded Maths collection. I find that this is a topic where some students need a lot of scaffolding.


3. Certificate in Further Maths
@draustinmaths has reorganised her website and added a new section for AQA's Level 2 Further Maths. Resources include a Stationery Points Fill in the Blanks and an Exact Trig Values Match Up.



This page is linked through my Further Maths page. 

4. Tasks
Thanks to @MiddletonMaths for sharing some resources on their Twitter feed. Two examples include a worksheet on finding the area of trapezia and one one prime factorisation, both created using the Pointon and Sangwin taxonomy.


5. Roots and Primes
I enjoyed this thread from @MathsImpact with ideas for tasks relating to roots and prime factorisation. Here are a couple of examples - read the thread for more.


Update
I look forward to chatting to lots of maths teachers at two upcoming events:
  • #mathsconf32 in Derby on 24th June where I'm presenting 'Challenge without Acceleration'
  • The MEI Conference in Keele on 29th June where I'm presenting 'Good Task, Bad Task'.

I'll leave you with this new set of free resources from GeoGebra. This includes the addictive game 'What's Your Angle?', plus 'Find the Treasure' which might be nice when teaching coordinates at primary school, and 'Picking a Marble out a Jar' which might be useful when introducing probability.






23 April 2023

5 Maths Gems #169

Welcome to my 169th gems post. This is where I share some of the latest news, ideas and resources for maths teachers.

1. GCSE Revision Resources
I have a page dedicated to GCSE revision resources which had a few new additions last week:

Dr Austin has started making full coverage revision grids. These are sets of increasingly challenging grids for both number and algebra, with more on the way.


John Corbett has created the Ultimate Higher Revision Video and an accompanying booklet containing 372 questions. This follows the Foundation video and booklet he published previously.


1st Class Maths has published some high quality GCSE papers in the style of Edexcel and AQA.


Mini target tests from Maths Genie aren't new but I hadn't seen them before this year. I used these for homeworks last term.


Finally, these aren't new either but it's the right time of year to remind you: I have sets of revision mats and breakfast revision resources that were widely used pre-Covid. They're all free on TES.

2. Level 2 Further Maths Revision
Thanks to @AMercerMaths for sharing a couple of revision clocks (download here and here) for AQA's Level 2 Further Maths.


And here's some more FM revision clocks from @cafemaths.

And this isn't new, but @DrBennison has GCSE Further Maths warm ups for Paper 1 and Paper 2 on his blog.

I'll be making use of these once I've finished teaching the specification - three lessons to go!

3. A Level Resources
Here are some resources that might be useful for A level teachers:


4. PowerPoint Tips
I enjoyed reading @nathanday314's excellent PowerPoint tips which support maths teachers making resources using PowerPoint. 



Here are a couple of other recent shares from Nathan:

5. Correlation
Thank you to @TimBrzezinski for sharing an excellent ready-to-use GeoGebra activity for exploring the correlation coefficient.


Update
In case you missed them, I recently wrote two posts about curriculum:

I enjoyed the Joint Maths Subject Associations Conference over Easter and I'm looking forward to the summer term conferences coming up. In the meantime, it's full steam ahead with the final push for Year 11.

I'll leave you with some lovely maths games recently shared on Twitter. I have enjoyed playing all three of these!

@divbyzero shared a game created by ChatGPT: Sumplete. Each row and column have to add to the given number. Click a cell once to place an X, twice to place an O, and a third time to have no X or O. They come in grids of different sizes.


@Philmaths314 shared Number Hive which I've downloaded for my daughters to play. It's a really fun times tables game that is suitable for all ages. They've also shared a paper version for schools to use.


@El_Timbre shared Digits from the New York Times. The interface is great - it's a Countdown-style game (i.e. make a target number) but you can easily undo steps, which helps builds confidence.



Have a great week everyone!



31 December 2022

5 Maths Gems #165

Welcome to my 165th gems post. This is where I share some of the latest news, ideas and resources for maths teachers.

1. GCSE Revision
On The House Maths (@OTHMaths) shared a new set of GCSE revision resources. Their 'Aim for' revision grids are designed for both Higher and Foundation tiers.


I have added these to my GCSE Revision Resources page.

2. GCSE Further Maths
Thank you to @1stclassmaths who has now completed the Level 2 Further Maths page of his excellent website. The page features videos and topic booklets for all Further Maths topics beyond the regular GCSE specification. These are really high quality resources - I've been using them with my Further Maths class.



3. New Resources and Websites
Thanks again to @draustinmaths for continuing to generously share her resources. Her latest batch of functions resources were really helpful for my Year 11s in December. There are some great tasks on composite and inverse functions. 


@ChrisMcGrane84 shared a practice task on finding where lines and quadratics intersect the x and y axes


@markywillis63 has updated his A level website. Each topic now has a set of questions with gaps for students to fill in whilst either trying the questions or watching the videos. 



I was emailed by maths teacher Robyn who told me about the website physicsclassroom.com which is helpful for A level mechanics teachers. They have printable worksheets, online concept checkers, interactive tools, videos with questions and so on. One example is a self checking quiz about free body diagrams, with an accompanying video and a worksheet.

I also received an email from Sam Kordan who created a website with a colleague when they worked together at a SEND school: www.adamupmaths.com. It's a collection of songs, games, printable teaching models and more.


My readers will be pleased to hear that onmaths.com has started doing A level papers, and that gcsemathsquestions.co.uk has been updated with questions from November 2021. 

Thank you to all these generous maths teachers who have been working hard to create and share content in recent months.

4. Infinite Whiteboard
I've blogged before about the fantastic tools shared by @JakeGMaths at mathsuniverse.com. This includes a huge collection of worked examples and a skills grid generator. Jake has recently been working on his Infinity Whiteboard which is fantastic. You can paste an image of a task or student's work and then annotate it. It's also really easy to paste a PDF which comes up as an image. It's great for live modelling and you'll never run out of space! One thing I'll use it for is to review exam papers - it takes seconds to set up:


Previously we've copied and pasted every question into PowerPoint to review an exam paper, which I now realise wasn't a good use of our time!

The infinite whiteboard is incredibly easy to use. Do check it out.

5. All Ten
In the run up to Christmas I massively enjoyed completing the nerdle advent calendar. I've completed a nerdle puzzle every single day since February. It brings a little bit of joy to my mornings. When I recently tweeted to sing nerdle's praises, I had a reply from @druinok about All Ten which I hadn't seen before.

All Ten is a lovely game which gives your four different numbers every day, and you have to use those four numbers to make each number from one to ten. The interface is great - it's very engaging and easy to use. As well as being an enjoyable game for teachers (I now do it every morning, as soon as I've completed my daily nerdle!) it's also a good one to use in lessons - particularly when teaching the order of operations.


It reminds me a bit of the classic 24 Game.


Update
I've been super quiet on Twitter and my blog lately because, like so many others, I've been really unwell. But, just in time for the start of term, I'm starting to feel better now, and am looking forward to an exciting term ahead. At school we'll be running the Intermediate Maths Challenge, plus we're taking forty Year 10 students on a trip to see GCSE Maths in Action - and I'm delighted to have this trip funded by a grant from Jack Petchey

I'm looking forward to the conferences that are coming up. At La Salle's conference in Bracknell on 11th March I'll be speaking about Pythagoras. And at the Joint Conference of the Maths Subject Associations I'll be speaking about improving students' calculator fluency. This two day conference takes place at the University of Warwick on 3 and 4 April - I've you've not been to one of the residential Easter conferences before, I strongly encourage you to come along! Book by 31 January to receive the Early Bird discount.

My lovely team will be recruiting this term - we need a Key Stage 5 Coordinator to run A level maths, which we're launching for the first time this year. If you have A level teaching experience and you're looking for a new challenge in September, please contact me (resourceaholic@gmail.com). The job advert will be out soon.

I enjoyed attending Dr Frost's triannual drinks this week. It's always a pleasure to spend time with maths teachers.


Finally, check out my fantastic stickers! I searched high and low for some nice personalised stickers to buy my colleagues for Christmas - and when I found these, I bought some for myself too!



Happy New Year, and all the best for 2023.