STEP (Sixth Term Examination Paper) Mathematics is a well-established mathematics examination designed to test candidates on questions that are similar in style to undergraduate mathematics. For students studying for STEP papers try this excellent portal from stepmaths.co.uk which has (all free) access to STEP questions and solutions. Create an account, login and you have access to a complete library of resources.
The resources are very clearly presented. For each question you have access to a pdf with the question, Examiners’ Report and both an Official and thanks to Peter Mitchell a fully worked handwritten solution.
Note that you can also download a copy of Stephen Siklos’ Advanced Problems in Mathematics and Core Mathematics. Advanced Problems in Mathematics is excellent preparation for ANY undergraduate Mathematics course.
Following each question, you will find a discussion and a full solution. The clear Contents page lists all 43 problems. Each problem has been given a title and a rough indication of the mathematical content which means you can pick out questions by topic.
See also, from Cambridge University, their STEP Support Programme.
And from Nrich, Prepare for University.
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!
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 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.
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
The Top Tools for Learning 2016, inlcuding top tools for Education. This is what the educators think. Students what do you think? What are your favourite tools for learning?
Jane Hart is the Founder of the Centre for Learning & Performance Technologies and 2016 marks the 10th year of her annual Top 100 Tools for Learning list. Jane has put together all the presentation slidesets as well as an alphabetical list of ALL the tools which have appeared on any of the lists.
The 2016 slideset is shown here.
Note from Jane’s overview she has done a finer analysis for 2016 including the Top 100 Tools For Education (for use in primary and secondary (K12) schools, colleges, universities and adult education.)
Back in April, I wroye about my own choices for 2016 and I am always interested to see where my own choices are in Jane’s list.
|CY 2016 votes||Education||Personal Learning & Productivity||Place in Top 200 2016||Place in Top 100 Tools for Education 2016|
View original post 319 more words
Students try an alternative to chocolate – mathematical Advent calendars up to Advanced Level, and note the Primary calendars from Nrich if you have little siblings!
It’s that time of year again…!
Nrich Advent Calendars
December means Advent Calendars and Nrich have published two Advent Calendars, one for Primary and one for Secondary each containing twenty-four problem-solving activities, one for each day in the run-up to Christmas. The primary Calendar tasks focus on encouraging mathematical habits of mind and the Secondary tasks have been chosen to encourage mathematical creativity.
You can in fact find a whole collection of advent calendars on Nrich and clearly the year doesn’t matter! Note the different themes available – a Sudoku for each day perhaps? Or a tangram? Maybe you want to play a game?
Advent Calendar by Alex Pett
Alex Pett created his advent calendar complete with history and problems for each day. Alex has provided a pdf version or use as aGoogle document. For an Activeinspire resource this version also has sound.
View original post 30 more words
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.
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.
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.
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.
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+.
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.