# Exams Weeks 2 and 3

We must start by saying congratulations and Happy Birthday to MathsBot! Jonathan Hall has been providing us with this amazing site for 10 years, thank you so much, Jonathan!

In week 2 we have Maths AS Paper 2 Statistics and Mechanics and A Level Further Maths Paper 1, looking ahead to Week 3 after half term, we have Further Maths Paper 2, A Level Maths Paper 1, Core Maths Paper 1 and GCSE Maths Paper 2.

For many further resources see GCSE Revision 2023

Recent Practice Papers, warm-ups and Checklists given that paper 1 is complete:

From Christine Norledge on Third Space Learning blog: Edexcel Paper 1 analysis with recommended revision list for papers 2 and 3.

IFrom Adam Mercer, “Starting Strong” for Edexcel foundation pupils.

See Corbettmaths GCSE Maths Summer 2023, we now have Edexcel, AQA paper 2 and 3 preparation materials and OCR papers 2, 3, 5, and 6. The material includes interactive revision checklists, (select a topic for an explanation on that topic) and Foundation and Higher Preparation Papers.

The interactive lists link directly to the appropriate video, note the video number and then find that in the list of contents on the videos and worksheets page for practice questions.

As there are 3 papers, it is almost certain that topics from paper 1 may appear again, so definitely make sure you revise everything.

John Corbett

Calculator revision mats from Jo Morgan:

IFrom First Class Maths a practice paper for Edexcel Paper 2H is now available. I do like the disclaimer on the front page, we cannot know what content will be examined – the best strategy is to revise everything! The paper has been created “with a careful analysis of the most common paper 2/3 topics from previous years and also careful analysis of what topics have already appeared in paper 1.”

Note the timetable for the estimated dates for release of the practice papers and the Paper 2 key topics documents.

Mr White has used the Edexcel analysis from 1st Class Maths (Key Topics for Paper 2 based on Paper 1 Analysis and previous trends) to create this list of Maths Genie links for the top 20 topics in Edexcel. Note the tabs on the spreadsheet – we have a list for Higher and also for Foundation.

And using that analysis, Jenny Hill-Parker has created these resources for Edexcel Foundation and Higher:

and here we have Jenny’s higher questions and solutions.

PixiMaths Practice Papers “to help you revise for papers 2 and 3 Edexcel Maths GCSE for summer 2023 based on topics that we have seen in paper 1.”

With that important reminder for students on the front page:

GCSE Maths Tutor – 2023 Paper 2 Checklist – choose Get the free checklist, then you can choose your exam board, Edexcel, AQA, OCR, IGCSE and WJEC.

iAQA and Edexcel Practice Papers from @mathsplanner, Foundation solutions are available, higher will follow.

For OCR, see Mr Neill’s suggested practice questions for Foundations and Higher for Paper 2.

Remember that Mr Neill has this 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.

Dave Taylor has used his list of topics to create a revision mat for OCR.

We also have papers and video solutions from @onmathsuk.

Very helpfully, onmaths has an online paper and video solutions for Foundation and Higher AQA, Edexcel, and OCR (downloads are available for subscribers)

From Matt Woodfine a collection of resources for AQA Paper 2

The link to the tests and a full list of available tests are available here.

S lp has created some Foundation “Lessons” focussed on the 4 and 5 star topics. from @1stclassmaths‘s predicted topics on MWB, @MattTheApp.

Pete Mattock has created two AQA practice calculator papers, based on his analysis of paper 1.

Casio have free webinars for GCSE Higher on 30th May and for A Level on 1st June, the webinars will have a focus on the correct use of the calculator, for A Level the calculator will be the CG50.

Thinking about half term ahead, I do like this thoughtful blog post from Dani Quinn, that is a very important point about being careful what we send our students home with. Overwhelming them with too much work for which they can’t get feedback is not helpful for students studying alone.

For A Level, see A Level Maths & Further Maths 2023.

# Mathematical Miscellany #83

Matt Woodfine has been busy with his brilliant Maths White Board site; you can now upload and annotate pdf files which is so useful. I find this works very well indeed; pens work well, and we can also use a protractor and compass.

…and thank you for the highlighters, Matt!

We are so fortunate in Maths to have so many great resources – you can also use Jake Gordon’s Infinity Whiteboard to upload and annotate pdf files, or Math Whiteboard.

Legacy papers can still be such a useful source of questions, I have used many legacy papers from MEI, for example, M3 papers have many great questions on Dimensional Analysis for Further Maths, and there used to be a paper on Differential Equations. Select this link for all legacy units OCR MEI. There are many excellent Decision Maths questions available in the legacy papers. One topic I do miss teaching and is logic which I taught for many years on MEI’s D2 paper.

Does anyone recall Boris Johnson’s 2004 statement, made during the BBC’s light-hearted news quiz show Have I Got News for You, “I could not fail to disagree with you less.” ? I remember hearing it on the radio whilst driving to school and correctly predicting it would turn up in a D2 logic question on an MEI A Level Further Maths paper!

From Cabri, their new Geometry app is available for Windows and OSX, a Primary version is also available. Check the Cabri Express Guide to get started.

I have been adding further resources to GCSE Revision 2023, the latest additions come from BBC Bitesize and from Dave Taylor:

On BBC Bitesize you will find GCSE Maths – exam practice, 5 quizzes of 10 questions each, with fully worked solutions.

Also from Bitesize, try these GCSE maths – quick-fire quizzes, each quiz has 10 quick-fire questions that should take approximately 5-10 minutes to complete. You can take the quiz again and answer a new set of questions. Answers are all explained.

From Dave Taylor, we have these very useful GCSE Higher Revision Booklets for OCR.

# Mathematical Miscellany #82

The new Casio Calculators are appearing, here’s Jack Brown’s first look at the Casio FX-991CW.

And from an absolute favourite Calculator guide author, The Calculator Guide, Inequalities On A Number Line On A Casio fx-83GTCW | fx-85GTCW. I am looking forward to more from the Calculator Guide, keep an eye on these playlists on The Calculator Guide YouTube Channel.

You can see further details on the calculators from Casio here and the manuals can be found here, fx-570CW | fx-991CW User’s Guide, and fx-83GT CW I fx-85GT CW User’s Guide.

View a QuickStart video from Casio to help get you started with New ClassWiz.

I have added a page for easy reference to the Calculator series of pages.

Some great resources that have caught my eye recently:

The word problems are available on All About Maths. The booklets have been designed by shadowing past exam questions to help students gain ample practice in answering such questions. Two levels of difficulty are available: basic and multi-step. For students who need a little extra support, note the booklets with ‘starter advice’ which could be useful to provide scaffolding.

AQA’ s all about Maths is a resource site for teachers with numerous excellent resources. The resources are for teachers who offer, or are considering offering AQA maths qualifications; see How to get access to AQA All About Maths and register here.

From NCETM, have a look at these new resources on Algebraic Thinking.

These materials for exploring algebra with KS3 students are all freely available to download from the NCETM website. The 6 resources include PowerPoint slides and very helpful notes for teachers including the rationale behind each topic, useful language for teachers to model, how to address misconceptions, and how the topic might be explored in the context of KS2 to KS3 transition..

The notes suggest that this Checkpoint activity could be used to introduce the Balance Beaam resource. A reminder that you can find all the Checkpoint activities on the NCETM webste.

From the brilliant Nathan Day Calculate Cleverly, Trigonometry, and Mathematical Quotations :

# Mathematical Miscellany #81

One of the Lesson Planning series of pages is on Misconceptions, this has been updated recently to include examples of helpful material from the examination boards which address common misconceptions, such resources can promote very useful class discussion as can examiners’ reports.

See for example AQA’s Exploring Common Misunderstandings in GCSE Maths.

From Cambridge University, see Common Errors in Mathematics.

Edexcel’s A Level scheme of work which is freely available on their website includes for each section, Common misconceptions/examiner report quotes. The point made in the notes which follow is such an important comment, I have seen many errors that would have been avoided if only students had looked at a picture of their work.

In Mathematical Miscellany #77, I mentioned one of my go-to websites, Corbett Maths, I was interested to see that John Corbett has been adding some updates. I noted in that post 6 new Estimated Mean and 10 new Order of Operations questions, he has now updated Expanding two brackets and Substitution; video solutions are available for both.

From Tim Brzezinski, here’s a lovely collection of Open Middle themed problems where students build special quadrilaterals in the coordinate plane so vertices have no repeated coordinates.

On the subject of quadrilaterals, have a look at this new resource, a Measuring Shapes workbook from Curriculum for Wales.

# Mathematical Miscellany #80

A compilation post, featuring:

New on BBC Bitesize are GCSE exam-style quizzes; the quizzes have been designed for students working on GCSE maths, biology, chemistry, physics, combined science, computer science and geography studying any awarding body specification. For each subject, you will find 50 exam-style questions, these are arranged over five activities of ten questions each. The questions are multiple-choice and students can see a fully worked solution for each question.

Rob Southern has created a very useful document linking sections from the Pearson A level textbooks to his videos, where they exist. Rob’s YouTube channel is Maths in an empty classroom. Do check Rob’s site for his collection of A Level Maths and Further Maths resources. I mentioned his Coordinate Geometry exercise, part of the A Level Pure 1 Year 1 collection in this Fill in the blanks post. Note Rob’s questions to consider to get students thinking hard. You can also find a version on Transum, Coordinate Geometry Table which allows answers to be checked.

I do like Amanda Austin’s latest inequalities resources, these linear programming style resources would be very helpful for Decision Maths.

For resources for Linear Programming, see these pages in the A Level Further Mathematics series.

From MEI, comes excellent support for investigating the A Level large data sets. You will find help videos with useful techniques for using Excel and GeoGebra for statistics in GCSE and A level, also, from The Advanced Mathematics Support Programme (AMSP) look at these workbooks that show how to use Desmos to investigate the large data sets. Desmos could be used to support Statistics at GCSE also.

Here’s a Desmos activity on Interpreting Box Plots.

Staying with Statistics, an activity I have always liked is S4 Understanding Mean, Median, Mode and Range.
(All Standards Unit resources).