Category Archives: Seasonal

247. The Elf Challenge

It was the month before Christmas and all through the house not a creature was stirring – except for the senior elves who were on the brink of all out war. Father Christmas had picked up some leadership strategies on his travels and decided to send his management elves on a team building day … paintballing!

Don’t be fooled – this is no simple Christmas time-filler. This task requires problem solving strategies, two-way tables, averages, data analysis and logic. In fact, you might want to have a go yourself. There is a task sheet, support sheet and solution.

The Elf Challenge (pdf)

Enjoy the puzzled faces and watch the arguments when students try to justify their answers.

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

245. Fair share

I spotted this ‘Expert Tip’ whilst flicking through a supermarket magazine:

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Image credit: tesco.com/foodandliving

Question
If this cake has a diameter of 18cm (7in), is this a fair way to split it between guests? Can you prove your result in general terms?

Of course, this assumes that the icing on the side doesn’t count in the diameter or guest preference.

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?

235. Which witch is which?

Whether you are on half term holiday this week or next, I’m sure you’ll have time for this little number skills starter.

worst witch

Image Credit: Jill Murphy, ‘The Worst Witch’ – a children’s classic, which I highly recommend.

Can you help Wanda, the Grand High Witch, to find the local reporter hiding at her Halloween Girls Night Out? Solve the number problems and unveil the imposter.

Which witch is which? (pdf)

This starter or homework activity includes order of operations, factors, prime numbers, addition and multiplying (written method).

Happy Halloween!

(Updated: 1st Nov 2017)

228. Toblerone Tessellation

Christmas has come early to my local Co-Op. I was intrigued enough to buy and eat the new Christmas chocolate, but not before marvelling at the mathematical elegance of it’s structure:

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Image credit: http://www.distinctiveconfectionery.com/personalised-christmas-triangular-toblerone-box.html

The slab of equilateral chocolate breaks up into 9 smaller equilateral triangles. Or you could tessellate more of the big triangle.

Break off the corners and you get a hexagon.

Break off one corner and you get a trapezium.

Two triangles together makes a parallelogram … or it a rhombus? Good discussion point there!

The bar weighs 60g – how much does each triangle weigh? What about the weights of the other shapes you could make?

The dimensions are listed as 180x180x10mm. Where would these measurements fit on the triangle? Is it the length, width and height? Why? Can you calculate the dimensions of the other possible shapes?

Once you start thinking about it, there are lots of activities you could do … and there is the potential to eat your work! As usual, if you are going to do this, make sure you are aware of food allegeries.

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!