# World Book Day 2022

It was World Book Day on Thursday, March 3rd and this year World Book Day is celebrating its 25th birthday year. (See also: Literacy Skills in Mathematics).

There are a wealth of resources on the World Book Day site for children of all ages, including I noticed, good perhaps for reluctant readers, these free podcasts.

Here are some very nice World Book Day Maths Problems from Laura Rees-Hughes.

I think that’s 71 pages.

For younger students, this revision resource of problems was created for Year 6 (age 10-11) to use on World Book Day.

We could bring books and Mathematics together with some Statistics. UK readers who remember Statistics coursework may remember AQA’s coursework task ‘Read All About It’ where students considered various newspapers and magazines for readability. Similarly, we have Edexcel’s Newspaper Comparisons. A search for these old coursework tasks returned this Edexel document which has numerous investigations with mark schemes; Newspaper Comparisons is on page 171. The document is a very useful source of problems and data handling activities.

For a list of recommended books for young people interested in Mathematics, see this page which includes this list from Nrich which is grouped into three different categories: History of Mathematics, Recreational and Thinking Mathematically.

We could consider the reading age of a text; consider these readability formulae; if you paste some text to this site, Readability Formulas you can easily check statistics for your chosen text and generate a reading age according to the various tests.

WolframAlpha can be used for Words and Linguistics, note the various examples given, including number names and document length. We could do some calculations, estimate what happens if we have 40 pages or 400 pages? We could practise using Standard form for the number of characters.

Alternatively, try Analyze My Writing. Simply paste in some text for a comprehensive analysis including basic statistics, word and sentence length and readability. It is also possible to create Cloze tests. You can read more about this resource on Richard Byrne’s always impressive “Free Technology for Teachers”.

It seems appropriate to check some world records on books! Did you know that the first collection of crossword puzzles was published in the USA in 1924?

On the subject of books see free books information.

Note in particular Colin Foster’s KS3 Instant Maths Ideas (3 books) – a wealth of ideas you can try in the classroom and now freely available online. Colin Foster is a Reader in  Mathematics Education in the Mathematics Education Centre at Loughborough University.

I tried the text of this post for readability – college level!

# A-level Maths Explained

Have you seen…?

these videos from the School of Mathematical Sciences, Queen Mary University of London?

There are 19 videos exploring the subject content currently studied in A-level Maths. The aim of the series is to show students how the individual topics they are studying can be applied to everyday life.

# Custom Maths Revision Starters

Thinking about practising skills for GCSE, why not create some custom starters?

On Jonathan Hall’s Test Maker on MathsBot we could create a test to test many of these skills. Choose the skills you want from the menu, the number of questions, and the initial and final difficulty of the questions on a scale of 1 to 10, also note the Paired Solutions option to show one example with an answer then one to try. An Answer Key is provided for any test you create.

We could also use the many brilliant GCSE resources from MathsBot.

Alternatively, using Transum’s Refreshing Revision, we could create a custom resource to check some of these skills. The resource allows teachers to select the number of questions and the topics to include; scroll down the page and choose the topics you want from the Concept Selection, it is also possible to drag the panels so your questions are displayed in the desired order. A very nice feature is the fact that you can save a particular selection of topics as the URL for your selection will be generated. Every time you refresh the page you get different revision questions.

Transum has an extensive library of self-checking exercises, so we could easily provide examples on inequalities for example. On Transum, there are several ways to search for resources, for example, try:

See on Maths White Board: Revision Board – generate a starter based on the Advance Information

On Interactive Maths Generators from Dan Rodriguez-Clark (@InteractMaths), design your own sets of questions on more than 50 maths topics for your students to practice a variety of skills. There are many customisation options, generally as well as for individual topics. Full instructions are on Dan’s site.

# Examinations – Mathematics Summer 2022

For November 2022 – See Examinations – Mathematics November 2022

The resources below use the advance information for Summer 2022, see Examinations November 2022 for resources using the Advance November information as well as general revision resources.

See also – Mathematics Revision including many short questions which can make ideal revision. And note from Mr Neill, a brilliant resource, all Edexcel, AQA and OCR GCSE maths questions by topic with answers from June 2017 to Nov 2020 (9-1), available all on pdf, PowerPoint or Promethean.

A-Level Resources

For AQA A Level Dr Tom Bennison is adding revision resources to this page. As you can see from Tom’s post he is planning to provide a set of “practice” papers for AQA A-Level Maths and AQA A-Level Further Maths, a paper for OCR FSMQ and then some “Exam warmup” grids for use before the exams.

From Naiker Maths an A level Predicted paper 1 based on advance info from Edexcel.

The first paper you will see has 12 questions, and a mark scheme is also provided.

On ExamQ from Mr Watts you can quickly search for Edexcel Maths GCSE and A-Level exam questions. You can choose from GCSE Higher, AS or A level, you can also select by exam series, paper, area and topic. Selecting Summer 2022 Advanced Information displays a menu of questions by paper based on the Advance Information.

The interface is very clear indeed, easily display the questions or mark schemes.

From Pearson/Edexcel, comes a very valuable resource, under Summer 2022, Support, A Level Mathematics Topic Tests, is a new set of topic tests (no login required) for Pure Mathematics (10 tests), Mechanics (5 tests) and Statistics (5 tests) are provided. These are very comprehensive, not only do we have the questions and mark schemes but further notes. Looking at an example, the first test of the Pure Mathematics tests is on Proof, 5 varied questions cover the knowledge, skills and understanding relevant to Pearson’s qualification. The tests are designed to be used with the advance information for the subject as well as general marking guidance for the qualification.

Also available in a similar format from Pearson Edexcel are A Level Further Mathematics Topic Tests. Tests are available in both Word and pdf format for Papers 1 and 2 (9 tests), and Papers 3A (7 tests), 3B (8 tests), 3C (5 tests), and 3D )5 tests.

The first test in the Paper 1 and 2 pack for example is on Proof, 7 questions provide comprehensive coverage of Proof.

For Core Maths, note the very helpful section, Pre-release materials in Getting Started with Core Maths from Catherine Van Saarloos.

Whilst not written for the advance information, the following resources may be useful if you are searching by topic for A level Maths and Further Maths:

Advance Information for summer 2022 exams is now available.

Formula Sheets

The Exams Office publishes regular updates, available to all. This is a really useful resource and includes all their updates including from JCQ, DfE and all the examination boards. As well as AQA, OCR and Pearson you will find for example City and Guilds and International Examinations.

Whilst we have this advance information, it should perhaps be regarded with some caution; we cannot assume too much about what will not be on the examination. It is still important to teach the complete specification, many students will be going on to study A level, but the many revision resources appearing based on the advance information for Mathematics will provide a useful focus for revision. I will keep this post updated as new resources are created.

To start, from TeachitMaths an AQA Maths partnership resource: GCSE mathematics-small things make a big difference; many really useful and important reminders for students.

See GCSE 2022 on Corbett Maths, John Corbett has released lots of high-quality support material for Edexcel, AQA, OCR, and CCEA for both Foundation and Higher. You will find papers, revision checklists (hyperlinked to videos), also YouTube playlists, content is still being added. The papers are in the style of John Corbett’s “A Bit of Everything” papers – a resource I have always liked.

On Maths Genie, you will find videos, exam questions and solutions for AQA, Edexcel and OCR.

On Dr Frost Maths, we have the skills involved in Edexcel’s Foundation GCSE papers 2022, as per the official guidance, thank you to @VinculumL of New College Durham. You can find Edexcel papers including the higher papers and IGCSE on the Edexcel courses page on Dr Frost Maths; scroll to the last courses on the page to see the IGCSE courses.

AQA courses including Foundation, Higher and Level 2 Further Maths are here, thanks to @StreetlyAcademy.

OCR courses including 2022 GCSE Papers 1-6, which students can work through to practise by topic from @rachaelhandley2 of @ThomasEstley school can be found here.

On ExamQ from Mr Watts you can quickly search for Edexcel Maths GCSE Higher and A-Level exam questions. You can select by exam series, paper, area and topic. Selecting Summer 2022 Advanced Information displays a menu of questions by paper based on the Advance Information. The interface is very clear indeed, easily display the questions or mark schemes.

From White Rose Maths (scroll down), Foundation and Higher papers and mark schemes based on the AQA and Edexcel advance information are available. Also available are pre-exam workshops for Edexcel, AQA and OCR; the workshops are slideshows with answers included – ideal for final revision.

From PixiMaths, Best Guess Papers and Mark Schemes for Edexcel Papers 2 and 3.

From Mr Hart (@hartmaths) GCSE Edexcel Mixed Revision.

From Wayne Chadburn, I do like his little bit of Maths each day calendars, see these for March, April and May. Do check all three calendars as these have been written to focus on each of the three papers and the topic lists announced by Edexcel. Whilst written with Edexcel in mind these are great revision resources whichever board you use. Full solutions are provided.

From Sparx Maths, 2022 GCSE and IGCSE Advance Information – Sparx Topics and Key Questions. This is a brilliant resource, a whole collection of carefully selected questions. Great to see questions for IGCSE.

On BBC Bitesize, you will find links to resources for AQA, Edexcel, Eduqas and OCR. Scroll down to M for the Mathematics links.

Craig Barton has provided links for quizzes on Diagnostics Questions mapped to Edexcel’s and AQA’s Higher and Foundation advance information.

On Mathsbox, we have some really useful skills checks – one or two-page documents with answer sheets aligned to the AQA, Edexcel and OCR advance information.

From 1st Class Maths, papers using the AQA advance information AQA Paper 1F, Paper 2F, Paper 1H, Paper 2H, QR codes link to video solutions on the 1st Class Maths YouTube channel.

See also AQA Further Maths Level 2. for Paper 1 and video solutions.

Returning to Corbett Maths, AHS Maths has linked Corbett videos (and for those who have them – Hegarty Maths and the revision guide from Just Maths) to the Edexcel advanced information for GCSE Foundation and Higher.

Look for the Corbett video number here. Remember that with Corbett Maths, not only do we have the videos but worked examples by topic too.

From Just Maths, “Take 5”, a maximum of 5 questions aligned with the advance information from the Edexcel Foundation papers in ascending difficulty, primarily from older papers. You will find the Just Maths Take 5 post pinned to the top of the Just Maths blog. Note that the post will be updated including the addition of the Higher tier.

On Maths White Board, Matt Woodfine has created worksheets based on the advanced information from AQA, Edexcel and OCR; each time you create a worksheet, you get new questions, answers are included.

On Third Space Learning you can find papers for AQA, Edexcel and OCR.

Richard Morley, @MrMorleyMaths has created playlists of videos for each Pearson Edexcel Maths GCSE paper, based on the advanced information. Every video has a link to a notes jotter.

Ben Gordon is creating “Mixed Six” tasks for each of the key skills and cross over topics from the Edexcel advanced information. He has provided a link to the presentation for the Mixed Up Sixes; the slides are sorted into papers 1, 2 and 3 with a blank template for those still to come.

Gareth Evans has made some Edexcel Crossover Revision Grids for each of the 3 GCSE papers based on this year’s advance information. There are 5 sets of each.

From MathsTeacherHub questions based on the Edexcel advanced information for Higher paper 1 and Foundation Paper 1.

From The GCSE Maths Tutor, Edexcel practice booklets and videos, (AQA to follow soon) all free. Also higher and Foundation Revision Checklists – all exam boards, links are provided for Videos – all exam boards.

From Bharti Karadia, this clear document (note the tabs at the bottom) helps to identify potential crossover topics for Edexcel GCSE 2022.

From Brooke Hunter, for AQA, Level 2 Further Maths, a student-friendly version of the advanced information linked to DrFrostMaths key skill numbers throughout.

# For Valentine’s Day

An annual update, ideas and resources for Valentine’s Day …

From Desmos, send one of their great math-o-grams to your mathematical friends!

For an alternative source of Valentine’s cards, we can turn to NASA! Try this post, an earlier post or these fabulous NASA images.

From @OCR_Maths, we could try this puzzle.

OCR often share some great maths puzzles, look out for them.

The excellent Maths Careers site is managed and maintained by the Institute of Mathematics and its Applications. If your students wonder where Mathematics is used they will find plenty of answers here. See for example Who employs mathematicians?

For Valentine’s day we have an appropriate article from Maths Careers, did you know that 6 is a kissing number?! And for your Further Mathematicians, What is the equation for a heart?

Also from Maths Careers, see this post with instructions on how to make this wonderful pair of linked Möbius hearts.

If you wish to get creative and try this I advise watching the Numberphile video carefully; following the instructions worked as you can see from my creation here! I can verify that unless you follow the instruction to make sure the twist in each strip is in a different direction you will end up with a mess! Quite an interesting mess but certainly not two hearts!….

Note the Desmos graphs on my strips. I created a file in Word valentine-mobius-hearts (or pdf: valentine-mobius-hearts) with Desmos images in a table. Adding dotted borders to the table gives guidelines for cutting. I began each cut by using the end of a paperclip to pierce the paper.

To create my strips I printed the document and then printed again on the reverse. I then cut out and trimmed the strips so there was no white space at the end – the picture here has been made using strips 10 cells long.

From Numberphile, Professor Ron Graham discusses the Happy Ending Problem and from Dr Emily Riehl, The Stable Marriage Problem. We also have a great Parametric Heart spreadsheet from Think Maths.

This Valentine Relay from Chris Smith is excellent as are all the other relays in this excellent set of resources. You can find more excellent resources from Chris on TES and follow him on Twitter here.

From Maths4Everyone, try this Valentine’s Day Maths Treasure Hunt. Students have to work out the costs of gifts, meals and other outings for Valentine’s Day.

You can find a whole collection of Treasure Hunts from Maths4Everyone here.

Also on TES resources, from a favourite TES author of mine, Andy Lutwyche, you will find this Valentine’s card Area and Perimeter problem.

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Remaining with the loving theme you can express your feelings for WolframAlpha!

and from the WolframAlpha archives, Computing Valentine’s Day.

Sending Valentine good wishes to mathematicians everywhere!