Category Archives: Download

316. What should I revise?

Hands up all those who have challenged an underperforming teenager and got any of the following replies:

“I’ll do it with my tutor”

“Why aren’t we revising <unrealistic topic>?”

“It’s okay, I’ve got a tutor”

“It doesn’t matter what I do in class, I’ll do it with X”

“I don’t need to revise fractions (even though they can’t do them)”

“My tutor says this work is too easy for me”

“I don’t want to revise solving equations, I can’t do them”

“I’ve been doing cosine rule with my tutor (not even on the tier they are doing)”

“I’ve never done this (yes, you have but you talked through it every time we did it)”

“My mum says my tutor says I should be doing Higher”

“My tutor wants past papers”

Now don’t get me wrong, I know some amazing tutors – they know their maths, they are up to date with curriculum changes and they make a real difference. I also teach amazing kids who try their best all the time.

What really irritates me is the students who use tutors as an excuse for laziness and the tutors who teach complex topics but fail to reinforce the basics. So to combat this issue I’ve put together this PowerPoint – it got the message through to the students I was worried about in Year 11.

What should you revise (ppt)

What should you revise (pptx)

314. Maths is a foreign language 

If I had £1 for every time I heard ‘I don’t get it!’, I could probably buy a new (modestly sized) car. That phrase is banned in my classroom. What does ‘get’ mean? What is ‘it’? Did you actually read the question?

And there we have it: reading the question.

Today’s little life skill strategy can work for all levels of literacy – because you don’t need any! I’ve taught a lot of students who just shut down when they see wordy questions and don’t look at the big picture – literally. There can be a really obvious diagram and they will skip the question. They just don’t try!

Now as you may be aware, I’m based in Wales in the UK. For those outside the UK, Wales is a principality within Great Britain. Although everyone speaks english, the traditional mother tongue is welsh – it’s particularly spoken in the North/West of the country. If you attend a welsh language school, you can do all your exams in welsh. A GCSE is called a TGAU.

But why am I telling you this?

Well, this means that the WJEC/CBAC exam board publishes their exam papers in welsh and english. Identical papers, different languages. I teach over the border in England, where only one or two students per year can speak welsh. This is where it gets interesting …

I went through a welsh language ‘Mathemateg’ paper and picked out the questions which involved diagrams – I also picked out the matching English questions so I was clear on the questions (not a native welsh speaker, just a learner). I gave my GCSE class the Welsh questions and told them to figure out what was going on. After the initial disbelief they had a really good go at the questions. Their comments included:

‘Well, it’s obvious it’s a tally chart’ 


‘Just fill in the table with the numbers from the pattern’


‘That’s got to be a special type of triangle’ (answer isn’t correct, but idea was)


‘Just use angles in a triangle to work it out’


I was impressed – they were constructively arguing about questions and covering diagrams in good maths. When we went over the questions they were telling me how easy it was, yet the week before they’d skipped questions like the angle problem in an assessment! I explained why I’d done it and told them they didn’t need to keep the worksheets as I’d made my point. I was stunned by the number of students who wanted to take them home to show their parents – they were proud of their problem solving – 16 year olds wanting to show off their Maths skills!

This idea can be used with any bilingual exam board or any language that you speak that the students don’t. It’s a good tool for getting over ‘question blindness ‘ and literacy confidence issues too.

These are the exam papers I used:

WJEC GCSE Maths 

CBAC TGAU Mathemateg

If you look at the web addresses there is one digit difference to differentiate between the languages, meaning if you go on the WJEC english language website you can find the welsh equivalent by swapping a 0 for a 5 in the second to last digit.

313. Friendly Functions

Just a quick resource share today!

I’ve been doing functions with my GCSE class as part of the new curriculum and I’ve gone down the algebra route. I could have started with graph drawing like the parallel class did, but I know my class – drawing and accuracy are not their forte. We made brilliant progress with substituting into functions and even composite functions went smoothly. I wasn’t happy with the textbook resources on manipulating functions so I put together a step by step resource, including a basic skills recap:

Manipulating functions (docx)

Manipulating functions (pdf)

I also thought my class needed a little hand holding for inverse functions. There are many ways to do this, but the method I used was designed to allow the class to access the topic with teacher input verbally and on the board.

Inverse Functions worksheet (docx)

Inverse Functions worksheet (pdf)

Hope these help!

Oh and you can even use them as A-Level recap tools.

Updated (19:53): To fix typo on Inverse functions worksheets

307. ‘Why don’t you …?’ Mathsconf8

I finally did it – I ran a session at Mathsconf8, in Kettering! The theme was ‘Why don’t you…?’, inspired by the 1980s UK kids show:

The idea was why don’t you put down the textbook, step away from the worksheet and get your students involved in doing Maths rather than have it done to them. I have to thank the participants for being up for a laugh and getting fully involved. Because it was a hands on session, all the notes needed for the activities are downloadable in a booklet.

‘Why don’t you…?’ booklet (pdf)

Have fun!

Additional link: Crisp people

305. Get Carter

Seriously, you need to Get Carter ….

Get Carter 1971 Poster

Or rather head over to the amazing website by Mr Darren Carter: MrCarterMaths.com

I don’t know where to start – in a few clicks you have access to tiered questions on a multitude of topics with answers. Answer in an exercise book or on a mini whiteboard – it’s genius! Another click and the questions change.

If that wasn’t enough, you can print out individual worksheets at each level – differentiation without a headache.

I chose to print out the three tiers and award them points. Bronze = 1 point, Silver = 2 points, Gold = 3 points. I put together a cover sheet with instructions and the students instantly had control of their homework. All I asked for was 20 points of answers. The ones who need the practise can do lots of low scoring questions, the ones who need a challenge can do fewer questions at a harder level. My task is available to download below (full credit to Mr Carter given) – It prints nicely as an A5 booklet.

Tiered Proportion Homework Booklet

Once you’ve visited the site, follow him on Twitter @MrCarterMaths

304. S1 Revision Clock

If you are a regular on Twitter you may have seen some of the many revision clocks being shared. Basically 12 questions, 5 minutes each. Students can revise up to twelve different skills, under timed conditions, hence improving exam technique. My favourites are from the lovely Mel & Jo (@just_maths & @mathsjem). Not to be confused with Mel & Sue! (Random British humour/baking reference).

teaching_wall_clock_cafepressImage credit: www.cafepress.co.uk

  • Mel’s blog post on revision clocks can be found here: Just Maths
  • Jo’s collection of revision clock resources can be found here: Resourceaholic
  • Don’t skip these links – they are good!

Now I used one of the C2 revision clocks with Y12. It was an eye-opener: some students were excellent at managing their time, some rushed the questions and wanted to move on (hence not checking their work and making daft avoidable mistakes like they have all year!), others gradually improved their time efficiency and a few ignored the time constraint and sat stuck on one question, when there were so many other questions they could have excelled at. Constructive feedback all round!

So I decided that we would do the same for Statistics. I put together a set of questions from Edexcel testbase – full credit to them is given on the sheets. They challenged my students due to the need for accuracy in calculations and the sheer laziness of not wanting to look up formulae. If you want to do the same, just download the resources here:

S1 revision clock (pdf)

S1 revision clock Answers (pdf)

You will also need to print the answer sheet onto A3: Answer sheet courtesy of JustMaths

302. Log Proof Puzzle

If you can guess where today’s blog image came from you obviously consume too much damn fine cherry pie and fresh coffee!

log lady

Image credit: Pinterest

You may have guessed that the topic of this post is logs. If you are introducing the rules for adding and subtracting logs or revising them, I have just the resource for you. It’s a basic proof of both rules with a twist. The instructions are in the wrong order and you must rearrange them into the right order.

Easy!

Are you sure?

For those of you who have a student or two who rush everything and don’t read the instructions there is a sting in the tail. One of the lines of proof is a tiny bit wrong. The methodical student will find it, the one who races through may end up changing more than one line – hence breaking the rules.

Have fun!

Proving log rules for addition and subtraction

Answer: It’s the ‘Log Lady’ from the cult classic ‘Twin Peaks’!