Lies, Damn lies and Statistics!

Click 'generate' to find out what percentage of statistics are made up on the spot:

Getting ready to teach GCSE Statistics again next year! 

Questions which will never go out of fashion

On Friday I had a conversation with a colleague about how 'fads' (for want of a better word) come and go in teaching and that it's all too easy to think that we should try to include all of them every lesson. 

I think these are the important questions that it all boils down to though and for me they'll never go out of fashion: 

Top 25 Higher questions on past exams by total marks

This list is based on past Edexcel exams and show total marks and number of times they have appeared on papers.

Many thanks to S.Jones for compiling this data.

Top 20: Foundation and Higher questions in terms of frequency on Past Papers

Does what it says in the title!

Disclaimer: This is in no way a prediction of what will be tested this year!

Choosing an exam board. Edexcel Vs AQA

We're introducing GCSE Statistics for Year 9.

I've taught AQA many times at previous schools but think it's time to check out the competition!

So what to take into consideration?

- The syllabus?
- Style of past exam papers?
- The controlled assessment?
- Availability of supporting materials such as texts?
- Proportion of previous candidates passing at each grade?

What have I missed?

Poundland Pedagogy Lucky Dip

Take 30 items from Poundland (Everything's a Pound!), wrap, add a raffle ticket, give out as lucky dips to some adventurous teachers and see how they include them in their T&L in the following week:

 1) Magnetic L & P Plates
 2) Baggage Scale
 3) 10 Children's Hangers
 4) 50 Assorted Dayglo Flashcards
 5) 60 Plastic Spoons

 6) Flying Disc
 7) 36 Pegs
 8) Movement-activated croaking frog
 9) 100 pink and blue cupcake Cases
10) An owl bath mitt

11) A frog shower cap
12) 3 assorted pasta mug shots
13) Buttons in 12 different colours 
14) 60 Doilies
15) A cat toy with a bell in it

16) 2 padlocks
17) 8 snack-size containers
18) 100 assorted plasters 
19) 3 pairs of animal children's socks 
20) Mini basketball hoop

21) Long Reach Grabber 
22) 5 bubble blowing 'kits' 
23) A black glittery cowboy hat
24) Pom Poms 
25) 5 fly swatters

26) 3 Tier cardboard cupcake stand 
27) 3 Disposable ponchos 
28) Dish Diva
29) 6 pull back & go racing cars 
30) A garden Gnome

Why students shouldn't round in exams - even if the question says they should.

"Don't round off even if the question tells you to" is the advice I give my learners.

In fact, they can round off but ONLY when they've written down every single digit on their calculator first.

This way they're guaranteed to be awarded the marks.  If they incorrectly round on the answer line without the calculator display written down first getting that mark is much more of a gamble.

Here's an example showing how it works:

This question clearly asks candidates to give their answer to 2dp:

But if we look at the mark scheme the A1 is for an answer in the range 13.85 to 13.86, not actually for an answer of 13.85 or 13.86.  It's a subtle but important difference :

If the candidate is a proficient rounder then there is no problem, but how often do they make a mistake, especially when under pressure?  

A simple error such as rounding to 1dp (13.9) will take them out of the answer range and therefore they will not be awarded A1.

Writing down the whole calculator display first stops this being a problem as they will be awarded the A1 for 13.85640646 and a subsequent incorrect attempt at rounding will be ignored.

Other tips to stop your students from losing marks can be found here.

Make your own graded GCSE shape questions

Revision shape activities for my Year 11 Foundation class to remind them what they need to learn and to get them to continue to think about how questions might be asked in their exam.

They can be downloaded here from TES if you would like a copy.

International Pi Day 2014 with Year 8

Firstly we listened to "The Circle Song" and filled in the missing lyrics.

Then we measured the circumference and diameter of items, put them into a spreadsheet and looked at their ratio.

Next we spent 20 minutes on the internet researching Pi.

We followed this up with Pi Plenary Plates.

A bit of Pi Dingbats (Say what you see!) took us nearly to the end of the lesson.

... and finally we ate a lot of Pi -es .....

....and looked forward to next year!

GCSE Maths - Easy Ways to Make Sure You Don't Lose Marks

Thought I'd put together a few examiner hints on how to not lose marks in a GCSE Maths exam!

Good luck to everyone taking it this year!

Click here to see: 'What students see Vs What the examiner sees'

Will put in on TES here.

Kettle Corner

Here are the first couple of 'Kettle Corner' topics.  The pens are stuck there with velcro.

1) 'Need to know' facts for Foundation and Higher

2) 'How can we use photos, videos or props to support students with QWC and real-life questions'

Bad Maths from Coke Zero!

Just watched the new Coke Zero advert and have finally finished shouting at the TV for long enough to type.

On Friday morning I had to remind a Year 11 that we don't 'Just add Zero' when we multiply by 10!  Yet here is an advert shown at prime time on a Saturday night which promotes this misconception.

#justaddzero?  I don't think so.  More like #justbadmaths

How do you motivate your Year 11 to revise?

I often show my classes Ebbinghaus's Forgetting Curve to talk about how important it is to structure their revision so that they remember the maximum amount of information by the time they sit their exam in June.

With 6 months to go, how can I motivate them to start revising now and then to sustain it?

Here are the ideas tried so far by our faculty:

1)  Students have access to this symbaloo - I've collected links to useful wesites/videos etc and all they have to do is click on the one they want and it opens in another tab - I also set homework from it:

2)  We are currently offering a weekly draw for a pair of cinema tickets for students who attend after school revision on a Wednesday.  We keep registers, ask students why they haven't attended, phone parents of 'key students' if they don't attend,  put messages out on the tannoy, stand at the doors and turn Year 11s back when they try to leave at the end of the day in the nicest possible way obviously!  We had over 100 Year 11s attend last week so it's definitely working so far!

3)  Parents emails have been collected and they receive well-timed messages about important dates in Maths, past papers, links to resources etc.

4) @suffolkmaths have lots of great resources here

5) @Jeremy_Denton has been using Revision Races to add some competition.  See an example here

6) @DJUdall has a twitter feed dedicated to revision.

7) @jojobee21 has suggested biscuits!  Never underestimate the power of snacks!

8) 3 sets of Foundation 'Need to know' Loop Cards.  Download from TES here

9) @Maths4ukplc reminds them that getting a C is the only way to not be doing it again next year!

Thought it would be great to gather together some ideas to share on the run up to GCSEs so which resources or ideas do you use to motivate your students to revise?  

Add a comment below or tweet @themathsmagpie

'Mock' Year 11 Results Day

On Friday our Year 11s had a Results Day based on their Mock exams which they took before Christmas.

This involved them going to the hall, lining up and waiting for their envelope just like they will be doing in August.  It was just like the real thing - some waited for friends until they opened their envelope, some cried and some were thrilled.

In their envelopes not only did they have their mock results but they also had a slip which told them whether or not they had got onto their college course.  Powerful stuff.

One of the conversations I had in passing on the corridor really showed how much it meant to some:

"How did you do?" I asked one youngster, who had obviously been crying. "I've got a D." she said, clearly upset, disappointed and really feeling it like it was the 'real thing'.

"But you haven't got a D for real yet."  I said.  "You have a second chance now."  And she brightened up with the realisation that this wasn't a done-deal yet.

Tomorrow I'll be seeing my Year 11s for the first time since they received their mocks - some will be thrilled and some disappointed so this is where I'm going to start with them:

In addition they will all be getting their envelopes back with their personal targets in that they set the very first time I met them in September.  For more information see the post here.

... and we will also be pushing forwards to gain more marks and make progress using their Mock papers by using the 'Ask an Expert' activity.  See here.

Things this Ofsted Inspector liked - plus useful suggestions he made

I was observed by the Lead Inspector (also a Maths specialist) - it was good that on the morning of the first day he introduced himself to the staff, talked a little about his career and then all the other inspectors also introduced themselves and said which areas they would be specialising in.

Somehow, knowing the face of the person who will probably be arriving in your room made it all a little less scary.

He saw approximately 25 min of an 'Ordering decimals' lesson with a Year 9 class.

At the end he gave me a little card with his name on and a time and place to meet for feedback - again, a nice touch I thought.  We spent just over 5 minutes chatting about it - he also wanted to know a little bit about my professional background.

Here are the things that I can remember he said he liked (in no particular order):

#1 The 'engaging hook' was a selection of Simpsons characters on scales where we had to read off their heights eg 1.7 , 1.25 - I'd like to be able to credit the person for the pictures but unfortunately I don't know the original source.

#2   Me: "1.7  whats?   Learner: "I don't know."    Me: "mm? cm?"  One of the learners: "Metres!"  Then asking students to estimate a metre with their arms, digging out a measure and seeing which student was closest.  Weird how there are some cute bits that you could never plan for or predict!

#3 Once we'd decided how tall they were - with a nice bit of discussion going into 2dp -  6 students then came out wearing the characters on their 'Headbandz' (use them for all sorts - taboo, multiplying by 10, 100 etc).  One of the boys wore his for the rest of the lesson :)

#4 They had to put themselves in 'ascending' order - he liked the literacy discussion we then had around that and the word 'descending' - although apparently I went the same way for that!  I blame the pressure - I do know the difference, honestly!

#5 Seating plan with LOTS of colour-coded information on - FSM, G&T, KS2, SEN, Targets.  He wanted to know if I could identify Pupil Premium students.  I made it using lookup tables from SIMs marksheets and will share when I've tidied it up a bit.

#6 Self-selection of which questions they wanted to start with - I then went round and moved them on or checked understanding with them

#7 Quickly-built relationships for the beginning of the school year and students I hadn't known previously - joined the school at Easter.

#8 Self-selection of which questions they wanted to start with on the worksheet - I'd 'graded' them 'Core, Extension, Head-Hurters and Killers'

#9 Humour - we all managed to laugh quite a bit despite our visitor (he smiled a few times too!)

#10 Challenging learning for, as he put it, a 'Lively class of that ability' 

#11 I was helping them to learn through true understanding - not by rote or a technique they could use but didn't understand.


Ideas for improvement - I really like the suggestions he made:

#1 Use a graph drawing package to keep zooming in on the number line to see the number of decimal places increasing and going on for ever

#2 When the learners stood in a line putting a 1m and 2m marker up and asking them to stand where they thought they were relatively.

Meeting my new Year 11 group - choose your envelope to predict your GCSE grade

  
First lesson:

"Hello!  I'm Mrs Davies.  Welcome back to school - it's good to meet you!  The first thing I'm going to do today is present you with the GCSE Maths Grade you'll be receiving in August next year."

Every student was then given 3 individualised envelopes with 'Minimum', 'Some' or 'Maximum' effort written on them indicating the amount of effort they feel they are prepared to put into their learning in Maths this year.

I gave them a little spiel about me never meeting them before, that on purpose I hadn't spoken to their previous teachers and that from this moment they could be whoever they wanted to be in Maths lessons.  

They were then allowed to pick only one envelope - example below:

They were then given a post it note, asked to commit to the grade they were going to aim for and seal it in a new envelope.  

These were then strung together and hung over the corner of my whiteboard as a visual reminder.

We're going to open them again in December and review.

I'll be putting a copy of this morning's poster up right next to it:

If you'd like a copy of the poster it can be downloaded here from TES - let me know if you'd prefer sending it by email.

They also seemed genuinely pleased that I had made a page just for them on my school blog: 

www.mrsdaviesmaths.blogspot.com

Interactive display - Let's go fly a Kite

A blank display going up outside my room - I'll make it quite long by deleting the writing, printing more and putting them up side by side.

I'm not going to tell learners to write on it so it'll be interesting to see how long it takes them to add to it ... and what they add!

Will post up pics in a week or so .......

If you'd like one for your room you can download it here from TES

Art with Circles

Some amazing examples of beautiful circles. 

Kaleidoscopic Floor Installations Made of Mirrors, Crystals and Glass by Suzan Drummen

http://www.thisiscolossal.com/2013/08/suzan-drummen/



Video showing what happens when you take a completely white living room, thousands of colourful circular stickers and lots of children.  Yayoi Kusama’s legendary installation, Obliteration Room:

 

Crop circles - fabulous 'art' on a huge scale



https://en.wikipedia.org/wiki/File:Crop_circles_Swirl.jpg



.... some circles in architecture .....





....circles in the sand

Kandinsky loved painting circles:



and so did Delaunay (Thanks to @lennyvalentino for letting me know about him):

Jake Beckman sculpture made from cycle wheels: