Mathematics Revision Resources

I wrote recently on Revision Time 2017, noting several updates as well as checks of the revision series of pages. In this post – some more additions:

For GCSE, from Steve Blades on his excellent m4ths.com, have a look at his Right or Wrong Challenge, a series of 10 quick questions for Foundation GCSE students. Steve Blades has designed and written this section to test students understanding of the concepts involved in GCSE topics. Watch the video as Steve works through 10 questions and work out which answers are correct. It strikes me that many of these questions would make an excellent revision resource for younger year groups too – a great starter for my Year 9s I think! Note that Steve has very helpfully provided a pdf document with all the questions, (scroll to the bottom of the page).

I have mentioned reources from m4ths.com elsewhere, on the exam questons and solutions page I have included Steve’s eBook GCSE Higher wordy questions. On the GCSE page Steve has a section (near the end of the page) of eBooks, and one of those is on GCSE Higher wordy questions. See also Steve’s Think like a problem solver and mathematician book. And of course don’t forget his GCSE Help Book, included here for students.
m4ths


PixiMaths

On Danielle Moosajee’s piximaths.co.uk you will find an extensive collection of outstanding resources for teaching and learning and revision. The Revision Resources are very clear and comprehensive revision booklets, packed with things to remember and examination questions by topic, answers are also provided. Five booklets are available for students aiming at grades 1, 3. 5, 7 and 9.

PixiMaths Problem Solving

Also from PixiMaths resources I really like the set of Problem Solving Booklets by curriculum area, all with very clear fully worked answers. Danielle has created these using collated Edexcel questions that will be on both higher and foundation tiers so can be accessed by most students. Like the first resources from Steve Blades mentioned above I think there are many useful questions here for younger year groups. We should clearly be looking at problem solving skills with all our students.



From Danielle Bartram, on Miss B’s Resources see her GCSE Maths Passports Grades 1 to 9 Revision. Five different passports are available.


For A Level I have two pages in the Revision series, MadASMaths with it’s excellent series of revision questions and solutions increasing in challenge and UK A Level (16-18) Exam Quesions and Solutions with resources good for all examination boards.

From Underground Maths, to challenge students I find the Review Questions excellent, so many excellent questions from old A Level papers clearly organised and with very full solutons.

Calculus meets Functions


From the Underground Maths team have a look at the Bundle Tying it together, which looks at effective mathematics revision. To quote Underground Mathematics “The resources in this bundle encourage students to bring together their experiences in multiple areas of mathematics, helping to reveal and reinforce connections between a variety of mathematical ideas and problem solving strategies.” Note the associated recorded webinar. I particularly like the fluency exercise Pick a Card which will be a great way to revise Quadratic Functions, linking together many student experiences in Algebra, functions and graphs; this is also useful for high ability students. What’s the shared area for these two circles? another resource  in this bundle illustrates so well how a good diagram can help.


Revision pages for students.

Revision Time 2017

Revision
That quote from Robert Collier seems so appropriate when it comes to revision. Once again, this academic year I have used the day in, day out approach even more with my students, frequently reviewing earlier work even for short sessions. I am convinced this is important in our teaching and help makes things stick for our students.

mathsbot.com – Jonathan Hall

Once again we are in the final run up to examinations, so, an annual job I have checked and made many major updates to the series of revision pages. There are two new pages, one is GCSE Questions by topic – I thought it would be useful to collect together resources which allow for revision by examination topic; the other is Chasing the highest grades?

Before mentioning the resources though we should think about how best to use them.

The first page in the series ‘Highlighting is a waste of time’ links to what I believe is a very important report on how students learn effectively; having used testing – even very short ‘self checks’ or ‘mini tests’ as they have come to be known in my classes I am convinced like the authors that this is very effective and we will be using testing in our revision classes, often short with immediate feedback so students can see if they can recall and apply information. When I asked my Year 9 students about good Maths teachers, one said:

A teacher who provides the student with the opportunity to see what they need to revise. Regular tests and quizzes do this.

On Study Strategies, note the very valuable set of resources from The Learning Scientists. See their blog for more information and note the excellent downloadable materials on study strategies including Retrieval Practice. Note the blog on meta-analysis of 217 Retrieval Practice Studies.

So before we worry about amazing revision resources we must consider how we will use them so our students learn effectively. According to research learning strategies with high utility include distributed study sessions (last minute cramming is not effective) and practice testing.

So bearing these learning strategies in mind, many of the resources found on the series of revision pages could be used as mini tests with immediate feedback or several topics mixed up within a lesson and perhaps the trickiest topics revisited several times over the last weeks, even if briefly.

The revision activities can be found on the series of revision pages:

For students, I have added the revision and examination questions to Mathematics for Students.

Resources in the collections allow for a mix it up approach but also provide questions by topic. A huge thank you to the teachers who so willingly share their resources – you are helping students everywhere. Correct attribution has been given wherever possible with the resources. All resources are free.

Wishing your students everywhere success in their examinations.

Mathematical Miscellany #3

Exam PowerPoint @westiesworkshop

Mr Westwater – TES Resources

With revision still in mind, for some excellent PowerPoint resources with A Level questions and mark schemes by topic try Mr Westwater’s resources on TES. (Twitter @westiesworkshop). Though Edexcel questions these are clearly useful for other examination boards also. There are six of these PowerPoint files available:
Core 1   Core 2
Statistics 1  Mechanics 1
Core 3
    Core 4

Diagnostic Questions

Diagnostic Questions

Craig Barton’s and Simon Woodhead’s Diagnostic questions site includes some excellent question collections for revision; as well as GCSE questions, there are quizzes for AQA’s excellent Level 2 Further Mathematics specification and for Core 1 at Advanced Level. Questions from the Oxford University Mathematics Admissions Test are also available.

 

From AQA this set of revision tests and mark schemes is very useful and from Oxford University Press a lovely set of free revision resources is available. Under Mathematics Revision Guides, choose the ZIP file Worksheets. Note that these are headed New GCSE – this is the old new specification, not the new new specification! These are clearly perfect for UK students taking exams this year but still excellent for future years.

AQA Revision Algebra

For many more revision resources note the Revision Activities series of pages.


GCSE Problem Solving: Steve Blades’ site www.m4ths.com has many excellent resources; on the GCSE page Steve has a section (near the end of the page) of eBooks, and one of those is on GCSE Higher wordy questions. See also Steve’s Think like a problem solver and mathematician book.
m4ths

For more Problem Solving Resources, see Problem Solving and Problem Solving 16-19.


Alec McEachran’s Furbles – a large data set!

Alec McEachran’s Furbles – a large data set!

Statistics – thinking about large data sets which we will need to for the new A Level specification – for an amusing large data set, how about the Furbles?! The images generated here are from the original 2003 version which is still available on Alec McEachran’s ptolemy.co.uk. Talk to students about summarising this data, perhaps ask for their impressions as to which colour is the most or least common. Data can be presented as a bar chart or a pie chart and you can choose to categorise in various ways. It is also possible to vary the number of Furbles, the maximum and minimum number of eyes and sides. The illustration here show the largest data set possible.

Alec McEachran’s Furbles

Alec McEachran’s Furbles


Visual Patterns

Visual Patterns – Fawn Nguyen

From Fawn Nguyen comes the brilliant Visual patterns, note the menu; the Gallery includes blog posts from teachers and students who’ve used visual patterns in their classrooms.


 

 

Revision Time

Revision
That quote from Robert Collier seems so appropriate when it comes to revision. Once again, this academic year I have used the day in, day out approach even more with my students, frequently reviewing earlier work even for short sessions. I am convinced this is important in our teaching and help makes things stick for our students.

Once again we are in the final run up to examinations, so I have checked and made many major updates to the series of revision pages. Before mentioning the resources though we should think about how best to use them.

The first page in the series ‘Highlighting is a waste of time’ links to what I believe is a very important report on how students learn effectively; having used testing – even very short ‘self checks’ or ‘mini tests’ as they have come to be known in my classes I am convinced like the authors that this is very effective and we will be using testing in our revision classes, often short with immediate feedback so students can see if they can recall and apply information. Earlier this academic year when I asked my Year 9 students about good Maths teachers, one said:

A teacher who provides the student with the opportunity to see what they need to revise. Regular tests and quizzes do this.

So before we worry about amazing revision resources we must consider how we will use them so our students learn effectively. According to the report the two learning strategies with the highest utility are distributed study sessions (last minute cramming is not effective) and practice testing.

So bearing these learning strategies in mind, many of the resources found on the series of revision pages could be used as mini tests with immediate feedback or several topics mixed up within a lesson and perhaps the trickiest topics revisited several times over the last weeks, even if briefly.

The revision activities can be found on the series of revision pages:

For students, I have added the revision and examination questions to Mathematics for Students.

Resources in the collections allow for a mix it up approach but also provide questions by topic. A huge thank you to the teachers who so willingly share their resources – you are helping students everywhere. Correct attribution has been given wherever possible with the resources. All resources are free.

Wishing your students everywhere success in their examinations.

bart revision

MadAsMaths

MadAsMaths

MadAsMaths

One of my students told me recently about MadAsMaths by Dr Trifon Madas. She likes the Practice Papers, particularly the way the papers are rated according to their difficulty, see C1 for example. All papers come with full solutions.

(Post also added to Mathematics for Students).

MadAsMaths question & solution

MadAsMaths question & solution

Not only do all the questions come with full solutions but most have very clear mark schemes too.

MadAsMaths mark scheme example

MadAsMaths mark scheme example

MenuThe papers cover the Pure Mathematics content of the UK A Level course. Note the Special Papers designed for extremely able students; ideal for students capable of the top grades. This is a really valuable collection of questions.

There are further questions and solutions available in the large collection of booklets, originally samples they are free to use. These are pdf files, if you zoom you will see a clear solution as illustrated in the image here. Some of these booklets are aimed at undergraduate students.
Booklet