^{th}gems post. This is where I share some of the latest news, ideas and resources for maths teachers.

**1. Worked Examples**

@JakeGMaths shared a large bank of worked examples. It's free to use and contains over 400 examples. Each one is several slides long, guiding students through a method in a series of steps. Then there's a printable part for the students to complete, then the solutions. The PowerPoint has clear instructions on how to use these resources in lessons. Here are a couple of examples of the student tasks:

If you haven't yet read it, I recommend Michael Perhan's excellent book Teaching Math with Examples which inspired this work.

Also check out Jake's other projects which I blogged about in Gems 158.

**2. Operations with Negative Indices**

I really like this set of questions from @karenshancock. It's a good idea to do something a bit different with negative indices, to help develop fluency whilst interleaving other skills like fraction arithmetic.

Karen kindly typed this up and shared an editable version here. I've added this to my resource library under indices.

**3. Gif Generator**

I wrote about opportunities to use animated modelling in my post The Power of Modelling and Exemplars.

**4. Bearings**

Thanks to @DrPMaths for sharing a task linking angles in triangles with bearings. This is a building block which prepares students to be able to answer trigonometry problems with bearings - something that students often struggle with. His resource includes a few example-problem pairs and a set of practice questions with solutions.

**5. Starting Point Maths**

@ChrisMcGrane84 has published loads of excellent new resources on startingpointsmaths.com recently. I featured some in my last gems post, and here are a few more.

First, a task to try before learning how to differentiate: Developing Indices Skills for Calculus.

And finally, Odd & Even Numbers – Additive Structure - a lovely task which might be useful in primary or secondary. Read Chris's description of the task to see how he used it.

**Update**

At school we've all been unwell lately - it's that time of year - and our Year 11s have been in mocks so we've been doing lots of invigilation, which is pretty dull. On a more positive note, I've been teaching some of my favourite topics: Year 7 have been learning about prime numbers which is always a joy, Year 8 have been solving equations, and Year 10 have been doing quadratics.

I'm delighted that #mathsTLP made a return last Sunday. It was an absolute pleasure to behold an hour of teachers enthusiastically sharing resources and teaching ideas. Don't forget that this now runs every Sunday at 7pm, hosted by @MissNorledge and @BrookeEHunter. You're very welcome to join in: see my blog post about how to get involved.

Here are some things you might have missed:

- The MA is calling for submissions to lead a session at the joint subject associations conference next Easter. This two day conference at Warwick University will be the highlight of the year for maths teachers. If you're an experienced teacher with something to share, please do consider speaking. I particularly encourage female speakers, who are always underrepresented at maths education conferences. Complete this form by the end of November to offer a session.
- Realising my Equating Coefficients in Identities task ramped up in difficulty too quickly, I made a revised version of this resource which is shared on TES.
- @MrDraperMaths wrote an excellent post about transformations of functions which featured a really interesting approach that had never occurred to me before.
- @sxpmaths shared an excellent summary of the different sampling techniques covered in A level maths.
- @missradders shared a lovely Teacher Treasure Hunt that could be used during Maths Week.
- Everyone loves the classic Standards Unit resources from the legend Malcom Swan. The 'Traffic' program was originally written in Java as part of the Standards Unit but @MathsTechnology has recreated it in GeoGebra.
- @nathanday314 shared some of his excellent starter activities plus a thread that explains how he uses them. The thread is well worth a read.
- @draustinmaths continued to add new resources to draustinmaths.com, including this new task on forming quadratics which I've added to my resource library.
- The wonderful mathematical magazine Chalkdust published Issue 16 - you can read it online or order a paper copy.
- Did you catch my recent blog posts? I wrote a methods post called 'Easy Multiples' and I wrote 'Some Things We've Tried' where I described some of the things I've been up to at school since I became Head of Maths.
- La Salle shared the dates and locations of its next three in-person conferences:

I'll leave you with this tweet from @dodecahedra about different ways to prove the sum of a geometric series. I'd only ever thought about one way of doing this before, so I enjoyed seeing the alternatives.

Four takes on how to teach/discover/prove/understand summing the terms of a geometric sequence. pic.twitter.com/TaYTITpaWF

— William Rose (@dodecahedra) November 11, 2022

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