Category Archives: Links

195. Marshmallow Maths

It’s our first birthday at the MathsSandpit and this post is party themed. Remember a few years ago, when chocolate fountains were the ‘in thing’ at celebrations and parties. The healthy guests stuck to strawberries drenched in chocolate. The unhealthy went for marshmallows on sticks and … well … all I’ll say is Geraldine Granger (Vicar of Dibley – Chocolate Fountain)

I’m trying to decompartmentalise the maths in my students heads. They struggle to see the links between different topics. So I introduced ‘Marshmalllow Maths’ – they were intrigued/hungry as soon as I mentioned it.

Equipment

  • Cocktail sticks
  • Pink and white marshmallows

Step 1

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Ask your class to connect the marshmallows together

 

Step 2

What mathematical characteristics do the marshmallows have? I’ve summarised my classes’ responses below:

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Two marshmallows lead to ratio, percentages, fractions, decimals and probability. The links between these topics start to emerge.

Step 3

Add on another marshmallow

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How have the ratios, fractions, decimals, percentages changed?

 

Step 4

Make another 1:2 ratio marshmallow, identical to the previous one. How have the mathematical facts changed? In fact although the numbers have changed, the proportions have stayed the same which is proved when you simplify the numbers. Physically you can prove it by stacking the structures on top of each other – from above it looks like the original structure.

At this point I went cross-curricular and discussed the similarities between the marshmallow structure and water (H20). I was going to label the marshmallows with H and O, but my food-colouring pen wasn’t working. My logic was that water always has hydrogen and oxygen in the same ratio – this means we know we can drink it. If the ratio suddenly changed to H2O2, we would be in trouble! As far as I can remember H2O2 is hydrogen peroxide and is better for bleaching than drinking. This actually got the idea across quite well – no-one tried to fudge their ratios.

 

Step 5

I then allowed the class to make their own simple structures using their own piles of marshmallows. They had to make at least three identical structures, work out the related maths and prove that their numbers could be simplified to the basic form. In doing so they also looked at converting ratios to fractions and also found fractions of amounts.

 

Step 6

Eat marshmallows (whilst doing some related questions).

 

Optional: Step 7

Calculate the percentage increase in body mass on results day! It was marshmallows today, a chocolate prize for cracking a code earlier in the week and they say they learn better when they eat. I think it’s all a ploy to scrounge more food … but if it works … maybe fruit next time!

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. Top Teachmeet Trumps Resource

 

I’m currently trying out ideas from the #mathsmeetnorthwest TeachMeet. Emma Weston did an excellent presentation on ‘Marking for motivation and progress’. She inspired me to look for a Top Trumps activity for my class – they needed some consolidation of solving equations with an unknown on each side and with brackets. I found this brilliant solving equations Top Trumps by Dusher on TES resources.

The Marvel comic themed algebra cards have three tiers of difficulty and went down a storm. My class would have happily played all lesson, if I had let them.

 

Who would have thought that equations could be so engaging?

185. I’ve lost a Dime

 

I haven’t actually lost a dime, rather I’m missing a Dime – specifically the second Dime probability pack. It was a great teaching resource for experimental probability from the first school I taught at. Unfortunately it is no longer available, although it is listed on the Tarquin archive site. Each student had a plastic tube with different coloured beads, a related experiment card and a record card. They could investigate the meanings of key vocabulary, carry out repeated trials and use this amazing graph paper, designed by Geoff Giles, to record results:

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The graph paper works a little like a bagatelle or pinball machine. You start at the top ‘pin’. A success means move along the line to the next pin on the right, a fail means move to the left. You always move in a downwards direction. The more trials that are recorded, the further down you go. When you reach the bottom you will have carried out 50 trials and will be able to read off the experimental probability as a decimal. I found this blog (medianchoices of ict) with links to the Nrich website and interactive probability graphs. The graph paper from the Nrich site is here: RecordSheet.

 

Activity

I decided to recreate the old Dime investigation sheets:
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Students start by explaining what their experiment is and define what is a success/fail. They give the theoretical probability as a fraction and decimal, then predict the number of successes in 100 trials.

 

Students then carry out their experiment, recording their results in the tally chart and graph. After 50 trials, they write down the fractional experimental probability of success using the tally total and the decimal probability from the graph – hopefully they are the same! Students then reflect on their work and consider how to improve their results.

Download the worksheet here: Experimental Probability investigation

Sample

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184. TeachMeet New Year

Here’s a nice easy 2014 challenge for you: get yourself to a TeachMeet!

What is a TeachMeet? A definition can be found on Wikipedia, but in essence it is a series of five minute presentations about any aspect of education by educators (mainly current teachers).

If you can’t go to one, find one which was recorded and posted online. Why not go for it and present at a TeachMeet?

It’s National TeachMeet day (in the UK) on 6th February (@TeachMeetUK). Most TMs are posted on the TeachMeet.pbworks site and publicised on Twitter. If you are in North-West England there is a Maths-themed TM happening in Liverpool on Saturday 18th January. Click here for more details or follow #mathsmeetnorthwest

If you are still doubting the effectiveness of TM consider these points:
1) I went for it and presented at the first TM I went to in September (You can watch it here) – it was a great experience.
2) I’ve used short/medium/long term ideas from the TM in my lessons, in Dept meetings and in my Performance Management.
3) My colleague, J, and myself were positively bouncing with ideas and energy for teaching for weeks afterwards.
4) Imagine the worst day-long course you’ve been on and how much it cost. A TM is a couple of hours and generally free!

What are you waiting for?

 

Updated: 20th Jan 2014 to include Calderstones TeachMeet link