I really enjoyed attending a **London Maths** session yesterday morning – led by Dietmar Kücheman, we had several very enthusiastic Maths teachers working on his lovely Geometric Sparks tasks.

I created the illustration here with Autograph (web version) and was reminded how much I like the features of Autograph web including that lovely **colour palette** for styling objects! I created a very simple **Autograph web file** which allows you to move point C along the line (y = -2x + 16), you can also move points B and D to create a rectangle, the Area will be shown for any rectangle. For a more sophisticated version, try **this**, created by Robert Smith (**@RJS2212**) (on his phone!)

You can see these tasks on Dietmar Küchemann’s blog **Geometric Sparks**, but note that Dietmar has now updated these tasks and they have been published by ATM, see **Geometric Sparks – Generating links with shapes in space, book and slides, by Dietmar Küchemann**.

As you can see from the **Introduction** to the tasks on his blog, Dietmar Küchemann has based the tasks on **NCETM’s Secondary Mastery Professional Development Materials**, Theme 6 is on** Geometry**.

See also, published by the DfE, **new guidance **-written by the NCETM’s Secondary Team to support the teaching of maths at Key Stage 3. This guidance offers a detailed ordering of the maths that students need to learn from the beginning of Year 7 until the end of Year 9. (See more on KS3 on my **KS3 page**).

You can **look inside** the Geometric Sparks publication to see the format for each task. Each task is clearly presented with a commentary and possible methods of solution, including the answer/s.

Perhaps an approach many students might use…

We looked at several tasks in the session, **Week 3 Monday** provides a lovely illustration of how useful it can be to add lines to a diagram. From Robert Smith, on Autograph again, see his **Autograph file for this task**.

I took Rob’s file and added some lines and displayed the angles….

It’s a small world sometimes – in October I included **Enigma Maths hub** in my post on **solving linear equations**, so I was delighted to meet Jayne Webster at the Geometry Sparks event. Do keep an eye on that site for future developments too.

We can check the **Geometry resources** on Enigma Maths hub.