Tag Archives: revision

260. Filter Maths

There is a moment of satisfaction to be had when the last drip of filter coffee drops into the jug: a lovely aroma of fresh coffee and the anticipation of a well-earned drink.

coffee-cup

Image Credit: http://vidacoffeeco.com/

Don’t worry, the ‘Sandpit’ hasn’t gone all hipster foodie overnight! The slow drip of coffee leading to a rewarding cup matches perfectly with the slow drip of revision, leading to a rewarding grade.

The exam season is fast approaching and the photocopiers are starting to crank out past papers. You start handing out papers and expect them to hand them in …

That’s the point it starts to go wrong:

  • They don’t hand them in.
  • They give up halfway through.
  • They skip pages and it takes you ages to find what they’ve done.
  • They lose confidence.
  • If you issue A5 size booklets they lose them.
  • If you issue A4 size booklets, they complain and the booklets get mangled.
  • You get frustrated – don’t they realise it’s for their own good!

This year, why not try out this idea instead:

  • Hand out the exam board formulae sheet.
  • Hand out the grade boundaries.
  • Hand out the first four pages reduced to A4, back to back.
  • Collect in the first sheet.
  • Repeat for the next four pages.
  • Collect in the second sheet.
  • Repeat until the questions start getting harder, then decrease it to two pages back to back.
  • Continue until the paper is finished.

This is time-consuming and it is best started well in advance of the main revision period, but it works. The individual sheets have a manageable amount of content and are less intimidating – they also weigh a lot less than 33 exam papers. As a teacher, you get a clear picture of which areas to revisit as the topic list is short. Each student keeps a running total of how they are doing on the paper. The grade boundaries sheet lets them keep track of their progress towards their target grade.

The consequence of doing this process with a couple of papers is that students feel more confident approaching papers. They will start to notice themes in the wording and topics. They will also realise that it’s important to ‘bank’ as many marks as they can in the first half of an exam paper.

My class responded well to this drip-feed of questions. After the first sheet they felt proud of themselves when they realised they’d achieved a grade D in just four pages of a Higher paper and were calculating how many marks they’d need for a C. The number of late homeworks dramatically dropped and the effort level went up.

This idea is simple and non-subject specific. It would work equally well with physics, chemistry, biology … in fact any paper which has a fair number of questions.

Good luck with the revision!

 

 

252. Stop recycling!

Are you an organised person? Do you photocopy spare worksheets ‘just in case’ for the forgetful students and homework sinners? Do you recycle your spare worksheets? Do you just bin them?

stoprecycling

Image credit:http://howcanihelpsandiego.com/stop-recycling/

Stop! Put them in a box and keep them safe, with any answer sheets too.

When you are having a revision session, for a topic test maybe, put out all the spare sheets. I lay them out across the front of the classroom. Let students borrow or take what they want, informing them that anything left at the end is recycled – this always makes them take more!

By showing them what they’ve had you are prompting their memory of what they’ve had, allowing absentees to fill gaps and giving them a second chance to ‘have a go’. Not every student will want worksheets, but isn’t it better to help those who want materials rather than feed the recycling?

200. Website/Resource of the week 4

Wow! This is proper blog post number 200. How should I mark this occasion? Why, by recommending another splendid site of course!

To quote the folks themselves: JustMaths is born from the passion and spirit of three full time teachers at the “most improved school in England” (January 2013).

The site has both free and subscription resources. The latest initiative is the ‘Bread & Butter’ worksheets. It consists of straight-forward starter worksheets to practice essential skills for students: Just Maths: Bread & Butter. My class use them every lesson and I’ve noticed a real improvement in their confidence and quality of solutions in just two weeks.

191. Fallen Revision

Which Maths teachers out there are fed up of stressing the same basic exam/test skills? Come on, there must be more than that? You there at the back. That’s more like it!

Unfortunately, us teachers don’t understand student basics:

* Pencils are for chewing, flicking or breaking.
* Rulers are for poking and twanging
* Working out is detrimental to doodling time
* And as for Units – wasn’t that mentioned in PSCHE to do with alcohol?

Sound familiar?

This term I’ve made my class reflect on the basics using a ‘Fallen Phrase’ puzzle template from Discovery Puzzlemaker. The skeleton of the phrase is given, but the missing letters are stacked at the bottom of each column – a bit like a collapsed ‘Wheel of fortune’ puzzle.

Wheel of fortune

The puzzle covers all the basic skills, but it is difficult. My students had to really think what I nag them about, rather than just rearrange the letters.

I just hope all their hard work pays off in their test.

Revision Hints fallen phrase.

Visit the Discovery puzzlemaker site.

189. Revision just flies by

I take absolutely no credit for this cute revision idea – japanese peace cranes for revision.

My class have a test next week and I gave them half an hour of directed independent study. Using their revision lists they could use their notes or textbooks to try questions or create a revision resource. I was expecting posters, maybe booklets … then one of the girls asked if could they make a crane for revision and hang off revision notes. Bearing in mind we have a 2m algebra tree in the room, I thought an industrial crane with notes hanging off it could be good.

How wrong I was!

Two girls started folding origami cranes – they’d learnt how for a school project. They then wrote maths facts on the wings. The idea was calmimg, yet contagious!
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The idea slowly spread across the room. Soon about half the class were folding cranes and writing notes. Someone even found some coloured paper.

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Now there is a small flock of cranes flying across the room which will hopefully remind pupils of the notes they wrote.

If you want instructions on how to fold an origami crane try this YouTube video.

188. Ducks, chalk and gravity

So how did TeachMeet result in me standing in a supermarket one evening doing a price comparison of duct tape?

Let us go back in time to #mathsmeetnorthwest. Dave Usher did a brilliant presentation on ‘Big Maths’, including the use of gaffer (duct) tape in lessons. I thought this was a genius idea – sticky, sturdy and temporary. I didn’t get a chance to buy any at the weekend, so I ended up in the supermarket on a weeknight.

But what to buy?

Cheap own brand duct tape at £2.95 for 15m or branded ‘Duck’ tape at £3.95 for 25m?

I started school the next day with one idea on how to use it, which quickly developed into three..

Lesson 1: Averages

Equipment: Duct tape, liquid chalk marker

I did averages and range indoors. This meant I couldn’t chalk the walls or floor. However I could mark out key features with tape. I used the activity Averages and marked out the median, the highest and lowest values on the floor. It was at this point I figured out I could write on black duct tape with liquid chalk marker – brilliant! We labelled the wall with the highest and lowest heights of the class so we could see the actual range of heights.

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Lesson 2: GCSE Revision

Equipment: Exam papers, scissors, glue, wall paper, duct tape

I have been using the Foundation GCSE Review with my Higher GCSE resit group. Reviewing ten Higher GCSE papers involves over 200 questions – that’s a big wall display! Both of the TeachMeets I have attended have used the idea of learning wallpaper. So that’s what we used – I’m grateful that some of my students are over 6ft tall or the wall display wouldn’t have gone up.

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Now the duct tape was used to secure the top of the wall display and to ‘passer-by’ proof the bottom. It should last longer now that the lower end is reinforced.

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Lesson 3: A-Level Mechanics

Equipment: Duct tape, liquid chalk, mobile phones, calculators, soft ball (I used a ball of wool)

It’s all very well drawing diagrams for A-Level Mechanics questions, but how about a life size diagram? We were looking at vertical motion under freefall/gravity. I gave the students pieces of duct tape chalk labelled with a, s, u, v, t. We went to the staircase and labelled the wall with the tape – so u (initial velocity) was taped to the top of the bannister and v (final velocity) went on the floor at the bottom of the stairs, etc.

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The students then labelled what they knew: a=g, u=0, v=?, t=?, s=?
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The students used mobile phones to time the drop from the bannister to the floor and calculated the distance and final velocity. The physical activity allowed us to think about how to draw these kinds of diagram.

And finally …
Just some pictures of an alternative whiteboard:

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149. Cold Questioning

Cold calling is the infuriating practice of randomly contacting people in order to sell something that they don’t want and didn’t ask for. Don’t ask me for my opinion on this business idea!

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Cold questioning is the practice of putting a random question on the board and asking pupils to solve it.

Example: GCSE revision
I have a class of critical C/D students who are sitting their GCSE in November. We have been revising prime factorisation, indices, simplifying, standard form and HCF/LCM. Today I put this question on the board:

A pair of trainers are reduced by 30%. The sale cost is £75, how much were they originally, to the nearest £1?

I was pleased to see them talk about the problem and have a go.

Students were randomly selected to share their answers and only two answers occurred – both of them wrong, but with a hint of understanding. Answer A resulted from calculating 30% of £75 and adding it on. Answer B resulted from subtracting the 30% from £75.

Now this isn’t as depressing as you may think, because as we discussed this it became evident that the class were confident calculating simple percentages – they just struggled to apply this knowledge. One student said they had used a multiplier. This opened up the task as we developed the link between reverse percentages and multipliers. Some of the class weren’t convinced, so we had a quick ‘converting percentages to multipliers, including inc/dec’ quiz. We even extended it to fraction to decimal conversion.

Finally, we looked at rounding as it was specified in the original question.

Review
I could have prepared a step-by-step revision lesson, gently taking them through these topics. I think ‘ambushing’ the class with a topic they haven’t studied for a while was more effective as they used a variety of skills to solve the problem, rather than repeat given procedures.

Ambushing your class
*Pick a topic you haven’t looked at for a while
*Avoid easy/obvious questions
*Try to include more than one skill
*Allow sufficient thinking/discussing time
*Finish off with another question, which requires similar skills
(Eg my second question was a reverse percentage involving an increase)