The Real Thing

Car Park Number PuzzleI stumbled across the above puzzle the other day. What is the number underneath the car?

Don’t worry if you don’t get it – you won’t be alone.  I had the problem up on the board as a starter for my Upper Sixth A-Level class. The lad who is on course to get an A* – he couldn’t work it out.

And lo and behold, a couple of days into the hols I came across a the real thing – an actual example of the above problem.

Here’s a pic. The question is, what is the number of the parking bay that the car on the left is parked in?

Car park number pattern puzzle

(Still stuck? Want to know the answer? Click on the “responses” below and read the comments)

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Why we do it

sandwich

I teach in a big school and that means some of us teach more than one class in the same year group. I have two year nine classes. I teach the very top set in the year and also the (for want of a better word) bottom set. Consequently I see year nine as a sandwich: I’m the two slabs of bread on the outside and all the tasty, meaty stuff is in between.

I’ve written on several occasions about my top set, the energy and excitement that they bring to lessons and the fun we have exploring the subject together. But today I want to focus on the other end of the spectrum, my lower ability set, who find the subject difficult, who find maths a challenge.

I did joke with them in September that my aim was to get them so good at maths that they all moved up a set, thereby leaving me with an empty class and a few extra “free” lessons each week. One or two took me at my word and have made the upwards move, but not all and I suspect that we will now see out the year together.

A few days ago I introduced them to scatter graphs. I quickly sketched an example on the board, we added a line of best fit and added a new word to their vocabulary: correlation. We then discussed whether or not we thought it should be positive or negative correlation . We agreed that, as the line was going “uphill” it was positive correlation.

Sir, what’s 3 divided by 2?

asked Louise. “One and a half” a replied, initially confused. But then I realised why she’d asked. “But why do you want to know?” I questioned.

Because that’s the, err, gradient

she confidently replied.

Can I show you on the board?

she asked. I agreed and she strode up to the board to give us all a masterclass on how you find the gradient of a straight line:

You draw a triangle, this is the rise, this is the run and the gradient is rise over run. The steeper the line is, the bigger the gradient.

I was delighted. It had been some weeks since we’d done that work and, not only had she retained what she’d learnt, but she’d been able to apply it to a new and unfamiliar problem.  Moments like this are why we persevere, why we never, ever, write anyone off, this is why we teach.

Who knows, perhaps after all I can get them all promoted into the set above and enjoy a few quite lessons in the summer. But if I did, I know I’d end up missing them (just don’t tell ’em I said that!)

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Fractions Helpline

Fractions Helpline - Now open 24/7Struggling with Improper Fractions? Call my helpline, now available 24/7

That was voted “Best Maths Pun of 2014” by The Aperiodical website. I thought it was pretty funny, too.

If you, or anyone you know, has been affected by the issues raised in this post you might find the following of use:

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Happy Valentines Day

Sierpinski Hearts

I love this Valentine’s Heart based on the Sierpinski Triangle.

I found it on the excellent XKCD comic website.

Happy Valentine’s Day

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Another great idea I’ve pinched

Cheat SheetsIf I’m honest, I don’t think that I’ve had an original idea in my life, and why change the habits of a lifetime now when I can nick the brilliant ideas of those I work with.

The latest idea I’m stealing is “cheat sheets” for tests.

My Year 11’s were due a test so for homework I gave them a piece of A5 card (coloured – even in the eyes of the most cynical 16 year old, coloured card is “special”) telling them that they had a test next lesson.  For their homework they could put anything they wanted onto their “cheat sheet” and they would be able to use it in the test.

It focused their revision for the test and they produced some good notes that helped them in the test and they can keep for the future.

A great way to get good quality, pupil generated notes. I wish I could claim the idea as my own, but I can’t. But I (and my pupils) are very grateful to  my colleague from whom I pinched the idea.

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