Category Archives: General

246. ChrisMaths Cheer

Hey … it’s that time of year again! Baubles and cheesy jumpers are creeping into the most mundane of places. How about a more mathematical festive season?

tb-piornaments

Image credit: http://technabob.com/blog/

Here is a round up of the Sandpit’s Christmas resources:

Twelve Days of ChrisMaths

242. Edible Inspiration

Calling all creative thinkers!

What mathematical questions could you set from this picture?

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Here are a few to start you off:

1. Sequences – do the increasing  number of chocolates in each layer form a sequence (in 2D, in 3D)? If so, what is the general term? Is it geometric or arithmetic?

2. Series – if it is an arithmetic sequence, can you find the sum of a finite number of layers? Which layer would have the 1000th chocolate?

3. Geometry – what shape must the layers be in order to form this structure? Is there a pattern to the layers? Could you stack these in a different way to form an equally stable structure?

4. Money – if a standard box holds 12 chocolates, how many boxes would a 2D or 3D version of this require? What is the cost? What if they came in a larger box? Could you save money?

5. Health – how many calories are there in the tower? How far would you have to run to burn off the calories? How many ‘average’ meals is it equivalent to? How many fastfood burgers? How sick would you feel after all that chocolate?!

Instead of setting a question, why not ask your students or even your trainee teacher what questions they can come up with?

240. Cogged up

It’s amazing what maths you see when you go for a walk along a canal on a beautiful afternoon. After helping a canal boat through a lock, the following problem occurred to me: how many times must you turn the handle to raise the sluice gate?

Fact: The sluice is controlled by a series of cogs. The handle turns a ratcheted cog with eight teeth.

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Fact: The handle turns a small cog with thirteen teeth.

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Question: The next cog has ten teeth on a quarter of it’s circumference. How many is this in total?

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Fact: This large cog is attached to a small cog with ten teeth, which lifts the vertical post.
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Question: From the picture can you estimate how many teeth are on the vertical post?

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Question: Given all this information how many turns does the handle need?
Extension: Look at this picture. What is the angle between the foot supports?
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238. Duck repairs

Duck Brand tape – it’s brilliant!

You only have to look at post 234 to see a great learning opportunity with duct tape … but the crazy patterns on Duck tape make it even cooler!

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The older designs are often discontinued and reduced which is a great chance to bulk buy. Apart from the obvious craft applications you can use it for quick book repairs. It’s much quicker and neater than tape.

Torn spine?

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Cover come off?

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You could even use different patterns to identify different groupings.

236. An Emerald Adventure

There are assorted holidays coming up and the weather is getting grim. Time to put your feet up and exercise your brain.

Mathematics of Oz

If you like killer Sudokus, logic problems and applied Maths, you’ll love this book. It follows the adventures of Dorothy Gale as she battles her wits against Dr Oz in her journey through the alien world of Oz. The problems are graded so you can work your way up to the harder questions.

You can download a free sample here: Cambridge Press

Buy on Amazon (UK)

I have used problems from this book with all ages of senior school student from able Year 8 to Further Maths A-level students. A word of warning though – check the difficulty level before you let students loose on the problems!

233. Summary Statistics

If you are reading this blog there is a high probability that you are a maths teacher – it is a maths education blog after all. That means data shouldn’t be scary … should it?

scary data

Image credit: http://mrcbaker.blogspot.co.uk/2013/08/data-doesnt-have-to-be-scary-how-you.html (This website is worth a look!)

In a world of performance tracking and data analysis, seeing the trends in class data should be easy. However busy lives and hectic timetables mean we often don’t get the time to step back and reflect on our classes.

I decided to pull together the summary data for each of my classes onto one page. I can see a profile of current and target grades (FFTD*), gender, SEN and Ever6** information in one table. The actual act of completing the table made me take a closer look at the abilities and issues within the class. I realise not everyone uses these data measures so the files are in .doc and .docx form. Since the data is summarised it remains relatively anonymous, making it a good discussion document for trainee teachers or CPD.

You can download a customisable form here:
Summary Data for class KS3 (doc)
Summary Data for class KS3 (docx)
Summary Data for class KS4 (doc)
Summary Data for class KS4 (docx)
Summary Data for class KS4 sample (doc)
Summary Data for class KS4 sample (docx)

*FFTD means Fischer Family Trust Data

**Ever6 is a UK measure related to eligibility for Pupil Premium funding (simplified description).

227. Back to School Bunting

Welcome back to the Sandpit! Hope you’ve had a good Summer!

It seems a shame not to keep that summer vibe going, so I thought I’d go back to an old post and reinvent it for a village fete, ‘Great British Bake Off‘, barbeque with friends feeling.

Back in post ’54. Space Saving Displays’(April 2013) I gave an instructional on how to make and use mathematical bunting. Over the summer some great teachers have shared how they are decorating their classrooms with their own twist on old fashioned bunting. I suggest you visit:

Just Maths @Just_Maths

Ideasfortheclassroom @missradders

Today’s post will give you three suggestions:

  1. Pupil orientated, maths or pastoral
  2. Ready made
  3. Teacher made, with downloadable templates and flags, with an emphasis on multiculturalism

So here we go:

1. Hands across the room

Equipment

  • Paper/card
  • Pens
  • Scissors
  • String/treasury tags

(a) On a sheet of A4 card, get pupils to draw around their hand open and closed:

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(b) Cut out the hands – if you turn them over you won’t see the outlines:

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(c) You could get the class to use different colours to make it more cheerful. Don’t these look a bit like wings?

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(d) The open hands represent a bad habit or trait that students would like to get rid of (or do less). By having the hands downwards the habit is falling out of their hands. Pastorally you could guide students to targets that are appropriate academically or socially. Mathematically these could be study habits or misconceptions. As you can see from the photograph below, it can be tricky getting the wording right – the most important thing is your student understands what they mean.

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(e) As mentioned before, the closed hands when paired correctly look like wings. These are for their positive aspirations and goals. A bit cheesy, but you are letting their dreams have wings! If you have time, students could decorate these flags – they can focus on the positive, not the negative. A few years ago, one of my students did this across two hands and reworded the aspiration as ‘These are the hands of an International Rugby player!’ – a big target for a 14 year old, but by the time he left school he was on the County Rugby team, so who knows …

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(f) Finally string these up around your room. They won’t get in the way of your existing displays and you can reference them throughout the year.

(g) I was also thinking of taking this idea to a pastoral Year meeting and getting all the tutor teachers to do this activity and then hang them in our line manager’s office!

2. Ready made bunting

I happened across the bunting kit in my local Hobbycraft – it usually retails for £2 and includes 25 flags and the string. The link takes you to the relevant page of their website. Similar products are available online from other craft retailers and Amazon.

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So if time is tight or you are a little wary of trusting an interesting class with a practical activity this could be a good alternative. You could put bad habits on one side and aspirations on the other.

 

3. Teacher made

This bunting demonstrates the beauty (and mathematics) in art from other cultures. The examples come from many cultures including Islam, Buddhism and Christianity and places such as Uzbekistan, Jaipur and Barcelona.

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The flags are available to download here:

Multicultural bunting (pdf)

Details:

  • Page 1 gives you a blank template
  • Pages 2-16 are images with cutting templates on – they show you the original uncropped images.
  • Pages 17-18 are the image credits, should you wish to use them.

I printed out my flags onto light card, then laminated them. For added durability I put metal eyelets in the corners (see below). This is by no means essential, but if you are interested in card making or scrap-booking, you may well have some of them in your craft drawer.
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Have a great back to school!