I like to print a copy of the pdf and use the photocopier booklet function to turn them into proper a5 double sided booklets (8 pages nicely fills 2 pages A4). There is the brief mention of tessellations as an extension problem, if you want to take this further then there is plenty of enriching ideas surrounding the artwork of Escher, or even trying to create tilings where angles around a point don’t sum to 360 degrees (this is of course impossible in flat Euclidean space, however other spaces allow it: e.g. 5 joining 5 equilateral triangles at a point will make a nice icosahedron, or with smoothing you’re looking more at spherical geometry, 7 and some smoothing and you’re looking at hyperbolic geometry).

When I can next find time I’ll try to put up a similar set of resources for angles between parallel lines, and I imagine in another post some of my favourite resources for teaching circle theorems.

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Hopefully I’ll find time to add some more resources soon!

]]>The booklets work well if printed as an A5 book. The notes sections have been left blank (either for the teacher to suggest whole class notes or students to write their own as they go), there are some example notes in the powerpoint out of view of the page (zoom out the slide and they should be surrounding, however these are far from comprehensive).

Second are sets of flashcards for each topic area. I’ve tried to add lots of little links within both powerpoint and pdf so that they should be ‘flippable’ in either format (great if you want to put on a device for quick revision on the go, or use in class for starters or plenaries).

]]>Using the normal distribution

Differentiation and Integration

I’d be keen to hear back what people think about the format and if there are any other topics that it would be particularly useful to try and cover.

]]>All the methods above can also be done using Casio calculators, however as I don’t own one I’m probably not the best to give advice on the matter. If anyone else does want to make a guide for Casio calculators that would be amazing!

]]>The main aim of the activity is to create a model to estimate how many pennies fit inside a circle. Students work through interactive questions and as they do their answers and responses are collected together and where useful made available to the teacher and the rest of the class. Key skills of prediction, collection, modelling, extrapolation and analysis are all utilised.

You can click the link on https://teacher.desmos.com/pennycircle. You will need to create a new account (it’s all free and totally worthwhile). You might also want to have a quick look through the overview presented on the page if you want more info

You’ll be given a custom code that will assign students together (and to your own class) when they visit the site. No extra work required

Simply tell students to visit class.desmos.com and input the code

All the guidance should be fairly self-explanatory. You will also be given your own page where you can see how students are getting on and what they’ve answered.

I really love this activity for a few reasons. Firstly because it’s one of the first times I’ve seen technology used in such a neat way to make use of the fact that pupils are still in a classroom despite having technology. Real-time collaboration allows them to crowd-source information and develop their own models in real-time.

Secondly because it shows great collaboration between teachers and techies – as well as being pedagogically rich things just work and are extremely easy to use. There are a number of activities that have been built by this team (and still growing), I can really recommend most of them (my next favourites are function carnival and central park) and recently they’ve also been working on a platform so that teachers can design their own lessons.

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A quick overview of the lessons can be found by clicking on the image below. I’ve also included a booklet which outlines the problems and possible extension activities:

Full resources for the 4-5 lessons can be found here:

I hope you and your learners enjoy these, if you have any feedback, comments or suggestions please feel free to let me know! Mr C.

]]>The lesson covers a variety of skills including measurement, ratio and constructions. Feel free to adapt, amend, or build on the materials as you wish, although anything you can feed back would be great! If you want more information on some of the maths and history involved in this piece then I definitely recommend checking out the following websites:

http://www.world-mysteries.com/sci_17_vm.htm

https://sites.google.com/site/davincisvitruvianman/The-ratios-in-the-drawing

As a follow-up lesson I usually like to do a stats investigation to see if the pupils in the class are ‘perfect’ by vitruvian standards. Pupils have to measure things like height and hand length, plot class results and try to draw conclusions. Click the image below for a brief powerpoint as well as teaching notes and an excel file to help quickly plot graphs. Lots more can also be done with this data, I hope to write up some of the projects I’ve worked on with students but in the meantime there’s no shortage of inspiring ideas at census at schools website and data tool.

Another independent or possible subsequent lesson also considers the ideas of human ratio and proportion, but from a different angle. This lesson looks at the underlying rules animators and graphic artists use when creating cartoon characters. Pupils discover some of the tricks used by their favourite cartoons, and may be encouraged to start looking more deeply into similar concepts.

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