A project – note the new tab Demos – a place for some favourite demonstrations / simulations. Currently just two pages but note the numerous PhET simulations for a variety of subjects to explore.
The most recent addition is the PhET Projectiles Simulation.
Use this excellent PhET simulation to explore the path of a projectile. Try changing the angle to investigate the relationship between the angle of projection and the horizontal distance (range) travelled.
Have a look at these problems on Underground Maths to extend your thinking:
Where did it land? and Maximum Angle Throw. Note the questions given on these problems and things you might have noticed.
For amusement try projectiles of different types!
You will find some very useful notes on Mechanics on Mr Barton’s website.
There are numerous PhET simulations covering Physics, Biology, Chemistry, Earth Science and Mathematics. Note the growing collection of HTML5 versions which will work across all platforms and devices. The Projectiles simulation here is currently a Flash resource.
You can download an app for iOS also for Android.
PhET Balancing Act working nicely on my phone!
UK Maths Challenges
You can practice for the UK Maths Challenges with these past papers. Questions and full solutions are provided. You can find British Mathematical Olympiad papers here.
You could generate a random quiz, using Mathster’s UKMT Mathematics Challenge Online Quiz. Choose Junior, Intermediate or Senior and one of three difficulty levels; you can also choose the number of questions, a time limit and the order the questions are presented in – random or in order of difficulty.
Nrich have a series of short problems based on the UK Junior and Intermediate Challenges.
Nrich publish new problems every month. Why not try and get a solution published on their website? There is a menu specifically for students. You can sign up for an Nrich student newsletter if you want to be notified of new developments on the site.
If you have not tried Nrich problems before you may find their recommended starter problems good to try. You can search for problems by topic if you wish.
If you have not tried Nrich problems before you may find their recommended starter problems good to try. You can search for problems by topic if you wish
Signing up to Brilliant (including an easy option for sign in for Facebook users) will allow you to join an international community and try numerous.questions at various levels.
Have a look at the teddy bear – can you identify all the equations from this list?
This problem comes from the excellent Underground Maths site.
You can view the Teddy Bear on Desmos by selecting the image above.
Note that on Desmos you can choose to display or hide a graph.
As with all problems on the site you can see the question and a very full solution with all reasoning explained.
For further notes on the equation of a circle, check these Helm Project notes and exercises on the circle.
ten eleven commandments for mathematicians!
Direct Download of PowerPointfile: 11-commandments-revised
Alternatively – a pdf file, the links can work faster from pdfs.
Appropriate for New Year Resolution Time – a revised and checked 11 Commandments of Mathematics!
Also available as a poster: 11-commandments-mathematics
For some excellent GCSE (UK age 15-16) revision resources explore this collection. Thank you so much to the teachers who create these resources and make them freely available.
Jonathan Hall has a bank of GCSE questions. on his site; note that you can show solutions for these questions. Also on this site – you can create a practice paper with your chosen topics and the number of questions you want. If you would like a random collection you could also try his Revision Grid.
Mathsbot Revision Grid – Jonathan Hall
From Steve Blades, have a look at his very helpful 9-1 GCSE Help Book. Note that you can download the book (52 pages) free.
For more resources see Steve Blades’ site www.m4ths.com;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.
Mr Carter Maths – for lots of practice questions. Select Differentiated Topics to see the selection available. If you want to practise this new topic – Iteration; this is the direct link.
On Tanner Maths you will find Flashcards for the new specification – choose A4 or A5.
Many of these resources are also very useful. Check with your teacher the detailed content for your specification.
For many challenging questions to really get you thinking, try the brilliant Underground Mathematics site. You can follow them on Facebook or Twitter too.
You can search by Station, suppose you want to practise your Algebra – try the Thinking About Algebra Station for example where you will find everything from Equation Sudoku to some challenging Surd manipulations.
On the subject of surds – try Scary Sum!
If you create a (free) account you can save and categorise your favourite resources.
There are many Underground Mathematics Resource Types. Try the Review Questions for example, which in the words of the Underground Maths Team:
These are questions designed to test students’ understanding of one or more topics and to exercise their problem-solving skills. In many cases they can also be used as a classroom resource to help teach concepts and methods. They are mostly drawn from past examination questions and have been chosen as ones that are interesting in nature and require non-routine thinking. The hints and solutions are designed to explain the reasoning and highlight connections as well as giving the answer. In many cases, alternative methods or solutions are presented.
Note the various question types available; these include very challenging questions for students age 16+.
Select image for question & solution
The Oxford MAT collection includes an extensive selection of Multiple Choice Questions.
O/AO-level questions are included. These questions provide excellent challenge for sudents aspiring to the top grades for examinations taken at age 15-16 and beyond..
Can we fully factorise x4+4y4?
Starts with a Show that….
We could get very sophisticated and look at those quadratic factors too; useful for those studying the Level 2 Further Mathematics Qualification.
Can we simplify these algebraic fractions?
Review algebraic fractions
Can we simplify these simultaneous equations of degree 1 and 2?
Solve simultaneous equations. We will need to factorise a quadratic in this problem with a coefficient which is not 1 for the square term. My students and I are fans of the Box Method where a factorisation cannot easily be done by inspection.
Note the updated Calculators and Tools series of pages including a page for Calculator Manuals.
have been checked amd updated.
A new page on Collections has been added which will be updated …
The ultimate Calculator has to be WolframAlpha which as you can see has a page of its own with several slideshows to help you learn how to use it.
For drawing and exploring graphs, use the outstanding Desmos Graphing Calculator.
With the new academic year approaching are you about to start advanced level studies? Or perhaps you are heading off to university?
This post, Transition Time has been updated with new resources and has many useful questions and activities to help you prepare for your next stage of study.
Note in particular the addition of Underground Mathematics and Jonny Griffiths’ Carom Maths.