From the excellent MathsBox site, brilliant timing for this wonderful free resource: Pure Mathematics A Level Notes. The notes have a very comprehensive set of clear and well explained examples which I am sure will appeal to students.
Category Mathematics
Easter 2019
It’s Easter time again, so time for an annual update – some Mathematical Easter treats!
Differential Equations
Subject content Mathematics: Differential Equations
Subject content Further Mathematics: Differential Equations
The study of Differential Equations is part of the prescribed core content of A Level further mathematics; this prescribed core comprising approximately 50% of each examination board’s content.
There are some very useful resources on this subject, particularly needed for further mathematics, where for many teachers they will be teaching content new on the specification.
OCR MEI Further Maths- Differential Equations Check in test
Teaching the MEI OCR specification, I do find the Delivery Guides and Check in tests useful, these provide both teaching guidance and example questions.
Dr Frost – Differential Equations
On Dr Frost’s excellent site you will find resources on Differential Equations, see Chapter 11, Integration for Mathematics and Chapters 7 and 8 on Further Mathematics.
We can use a little technology to check solutions to Differential Equations using WolframAlpha. The slides here illustrate the syntax for first and second order differential equations. Examples like this and more are available from WolframAlpha: Examples for Differential Equations.
Differential Equations on Slideshare.
On the subject of Technology, we can have a look at Edexcel’s helpful guide with links to numerous GeoGebra files: A Guide to using GeoGebra when teaching AS and A Level Mathematics.which includes Solving Differential Equations.
Pearson Secondary Maths – Solving Differential Equations
Notes and examples on Differential Equations.
- CIMT Section 18.5 on First Order Differential Equations
- Units 15.1 to 15.10 from AJ Hobson’s Just the Maths (individual pdf files hosted by UEA) (or a complete pdf from the Math Centre: AJ Hobson’s ‘Just the Maths’) are all on Differential Equations.
- mathcentre: Differential Equations Resources
mathcentre: First Order Differential Equations
mathcentre Second Order Differential Equations - A series of notes from the Helm Project. The complete set is hosted by the Open University. To access the Open University resources you will need to create an account (easy and free), this will also give you access to the numerous free online courses.
Helm Notes – First order ODEs
Mathematical Miscellany #27
From Access Maths, a brilliant selection of 90 Algebra Questions, Progressive Overload-Algebra is ideal for revision.
New Revision Resource!!
PROGRESSIVE OVERLOAD – All things algebra 🤓🤟
🔷 Minimally Different Examples
🔷 90 Algebra Questions!!!
🔷 Funky Fonts
🔷 One enormous sexy grid!What more could you want for the final stretch up to the exams? 😂#mathschathttps://t.co/GoUrk9X3Yy pic.twitter.com/Z3qcJWKHUa
— Access Maths (@AccessMaths) April 17, 2018
Have a look at all the other Access Maths revision resources too.
TES Resources
From one of my favourite resource authors, try Building Blocks from Andy Lutwyche.
Building Blocks – Bearings https://t.co/OQk1Gdm77I via @tesResources
This is an idea I had in the car on the way home tonight; would be genuinely interested in what people thought of the concept of going through the skills required for a topic @TES_Maths
— Andy Lutwyche (@andylutwyche) March 18, 2019
A great idea, Andy!
A Level Practice Papers
CrashMaths Edexcel Practice AS paper – gold
A recent addition from CrashMaths, Gold Edexcel AS Practice papers.
ATM Open Resources
For, activities, videos and more, have a look at ATM’s Open Resources. ATM provides many free resources on their website for teachers to download or use online in the classroom. There are many free resources available, note the menu on the right, these are excellent in their own right and also provide an excellent way of seeing what ATM has to offer. I do like GeoBoard tasks, try for example Board Task 3B.
If you like GeoBoards, see GeoBoard Activities, where I have given information on free online GeoBoards and resources.
Try ATM’s Puzzle Page, where you will find many examples of their puzzles, or get some free posters for your walls.
On the subject of Geometry, have a look at Don Stewards great slides from his recent London ATM/MA session. https://donsteward.blogspot.com/2019/03/geometry-session.html?m=1.
I’m looking forward to attending the next session, Jonny Griffiths on Further Maths RISPS, https://www.eventbrite.co.uk/e/an-a-level-further-maths-special-with-jonny-griffiths-tickets-56832977967
A Level (16+) Examination Materials
A very popular page is the Edexcel page in the A Level reform series; this has been updated and checked.
Edexcel frequently publishes new material, keep an eye on new publications by changing the Sort By filter to ‘Latest’. Check Teaching and Learning materials.
also Exam Materials and Specification and Sample Assessments.
Edexcel Model Answers – Core Pure Further Mathematics
Looking at the latest Teaching and Learning materials we see for example recent February and March publications including very welcome Model answers for Further Mathematics Sample assessment materials. The content of Core Pure for Further Mathematics is common to all the examination boards, so a very useful document for any Further Mathematics teacher.
The latest Exam Materials include, for teachers, A Level Mathematics Mock papers and with common content for all examination boards, a very useful source of questions. (The same is true of course for AQA and OCRA and OCRB).
GeoGebra Scientific Calculator App
See the Calculators page for further information on Casio and Texas Instruments calculators.
GeoGebra has announced the release of their new free GeoGebra Scientific Calculator apps for tablets and phones.
The online calculator is here and you can get apps for iPhone & iPad: Scientific Calculator in App Store and Android: Scientific Calculator in Play Store.
There are several Scientific Calculator tutorials available.
Have you seen…?#5
From MEI, the latest in the Sumaze series, this time a fun educational puzzle game aimed at 4-7-year-olds. This has been added to my Apps page which includes some personal favourites. Visit sumaze.co.uk for more information and links to all the apps in the series.
Dr Frost – full coverage revision worksheets
From Dr Frost, additional really useful A Level Full Coverage Revision Worksheets.
Adding to his GCSE and IGCSE collections, Dr Frost now has an A Level series intended to “provide a single example of each of the variants of a type of question within a particular topic, rather than to provide multiple questions of exactly the same type to practise a single concept; the emphasis is broad coverage, collated from a huge database of past paper exam questions.”
#Have you seen…? is one of a series of short posts, simply to quickly provide links to interesting information and/or resources; a subset of the Mathematical Miscellany series.