Category Archives: Download

230. Resource of the week

I came across this splendid resource on Similar Triangles, by cturner16, on the TES website:
Similar triangles matching activity

The cards start with a standard diagram of overlapping triangles and you match it up with the individual triangles. The final step is to work out the scale factor and the missing side. It follows the exact steps you would want students to follow when working on these problems.

Now, I know my class well and to avoid the standard bickering, mess and ‘I didn’t think you meant pick up every sheet when you said pick up every sheet’, I copied every set on a different colour:

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The colour made it so much easier to manage and discuss. There are six problems, so if your students work in 2’s or 3’s, they each get 3 or 2 sets to stick in their book. The problems are full of misconceptions and interesting scale factors. I’m really glad I used it!

Thank you cturner16!

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!

224. No Nonsense Negatives

Ever had a simple idea for a starter which your class just flies with? It happened today for me:

Background
In the previous lesson students understood the meaning of ‘y=mx+c’, but struggled to rearrange equations in this form. With this in mind, I went back to the basics of manipulating calculations.

Starter question 1
Make as many calculations as you can only using the numbers 2, 3 & 5 (once each) and any symbol you like. The obvious answer is 2+3=5.

Starter question 2
Make as many calculations as you can only using the numbers 3, 6 & 18 (once each) and any symbol you like. The obvious answer is 3×6=18.

The Extension
Most groups quickly found three solutions for each question. Some even used inequalities. To extend their understanding I suggested that they could use as many of each symbol as they wished – would a sprinkling of minus signs increase the number of results?

Results
The following pictures show the ideas my class came up with. I was using lolly sticks to randomly pick students and no one wanted to be the first to not give an answer.
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Followed by:
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We discussed the rearrangements and linked them to rearranging equations. They appreciated that one equation could be written in many different ways. This activity would work equally well to consolidate negative numbers.

216. Back to the Takeaway

If you like Takeaway homeworks or need a resource for the area and perimeter of circles, including some arc/sector challenges, then my third takeaway homework is for you!

Takeaway Homework 3: Area & circumference of circles

215. Another Takeaway

After the warm response the first takeaway homework received, I’ve written another! This time it is about Pythagoras and basic trigonometry – suitable for introductory or revision homework. This one hasn’t yet been trialled, so let me know how it goes.

Pythagoras and Trigonometry homework

214. My first takeaway homework

If you have been on Twitter recently you may have seen educators sharing their ‘Takeaway’ homeworks. The idea is in Ross Morrison-McGill’s splendid book ‘100 Ideas for Secondary Teachers: Outstanding Lessons’ (@TeacherToolkit). Maths teachers have started embracing this concept and sharing their menus online.

Image credit: Bloomsbury Press

Image credit: Bloomsbury Press

I’ve written a ‘Takeaway’ homework aimed at Year 9 Level 6/7 students on constructions, plans and elevations. Each task has a monetary value based on difficulty and every student must complete at least three tasks to complete the minimum £12 of homework.  I personalised my in-school version to include the websites we subscribe to and books we use. I’m looking forward to seeing what my students hand in and I will update this post when they do.

Constructions Takeaway Menu (pdf)

213. Crack the code 2

If you liked the previous post 212. Crack the code 1, you’ll like this one.

Image Credit: blog.thefoundationstone.org

Image Credit: blog.thefoundationstone.org

Another Code sheet, but this time on Pythagoras’ theorem. The sheet covers Pythagoras (find hypotenuse and shorter side), Pythagorean triples, problem solving and rounding to 2dp.

Download it here: Pythagoras Crack the Safe