Category: Shape, Space and Measure

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Knowledge organisers- more clarity than learning objectives and great for building retention

The inspiration for this post came from an article on Joe Kirby’s blog, Pragmatic Reform called Knowledge Organisers. I have huge admiration for what Joe and his colleagues are achieving at Michaela Community School by challenging just about every status quo in teaching and learning. They are at the forefront of developing high-impact, sustainable-workload teaching strategies informed by cognitive science research...

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Time-series jigsaw puzzle fun!

Teaching time-series graphs? Get students to work in pairs. One solves a jigsaw puzzle. The other student records how many pieces in the jigsaw were solved every n seconds. Choose n appropriately. Students then plot graphs of n.o. pieces solved vs time. Then ask them: Describe the shape of your graph. Why did it take this shape? What would the shape...

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Geometric squares

Look at the shapes in this square grid. The hexagons on each row, column and diagonal are made of the three shapes in that row, column or diagonal respectively. This completed ‘Geometric Square’ was posted on Twitter by @PardoeMary. Can your students create another geometric square? Can they create tessellation patterns of the results? What if you didn’t use hexagons, but...

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Powerful, diagnostic, games-based AFL- Kahoot!!!

Kahoot is a tremendously useful, free AFL tool I recently came across after a Twitter recommendation. Students can use any web-enabled device (any OS platform) to take part in games-based quizzes. There are thousands of quizzes publicly available, or you can create your own in a simple drag-and-drop editing tool and add to the public pool. There are many maths-based...

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CGP Maths Buster- a superb new learning and revision resource for GCSE maths

CGP Maths Buster CGP are well-known for their excellent GCSE revision guides. Now they’ve taken their offering to a whole new level with GCSE Maths Buster. The ÂŁ6 DVD ROM for PC & Mac is a comprehensive, interactive revision tool for GCSE maths students featuring: Levelled practice– work your way through the entire maths curriculum ‘levelling up’ to unlock new...

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Functional area questions

I put together the following as an activity for a low-attaining year 8 class coming to grips with area. They’ve done area of rectangles and triangles last lesson and so I’m trying to link it to real world contexts this lesson. The idea is they cut out the shape for which they need to find the area, they then choose...

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Robocompass.com

There’s a new geometry tool in town and it goes by the name of Robocompass.com. It’s a tool that shows geometrical constructions in a 3D environment, rather than the 2D plan view used by Geogebra, Geometer’s Sketchpad etc. In addition to a wealth of common construction examples, you can program Robocompass to make your own constructions using an easy to...

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Don Steward’s MEDIAN blog- fantastic isometric/ plans and elevations/ nets resources

Don Steward keeps on churning out his amazing resources! I can’t recommend his blog, MEDIAN, highly enough. If this guy wrote the textbooks/ worksheets/ exams our curriculum would be so much more challenging (in a good way) and mathematically thought-provoking. He’s inspired my own practice a lot. Below are links to three brilliant sets of resources he’s produced recently. Click...

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Epic Circles- Numberphile

  Ever heard of Circle Inversion? It’s a bit like a combination of enlargement and reflection, but using circle radii as projection lines. What is it useful for? Pappus Chains… Watch and find out: Epic Circles- Numberphile

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Benoit Mandelbrot talking about fractals in the real world

Ever heard of the Mandelbrot Set? It’s a famous fractal discovered by Benoit Mandelbrot, the father of Fractal Geometry. In this fascintating TED talk he explains his Theory of Roughness and how fractals can be found all around us in: cauliflowers, the stock market, mountainous landscapes and much more… Fractals and the Art of Roughness ;

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Leave it all in terms of Pi until the last minute

Today I heard this golden nugget of advice from the most talented maths teacher I’ve ever met… When teaching students to do calculations involving Pi, leave it all in terms of Pi until the very last minute. Rather than the workings for volume of a cylinder of radius 10cm and height 20cm being: Pi X 10^2 = 314.159… 314.159… X...