Compound Measures : Speed

Download the PowerPoint here

That shape/space/measures bit of the menu is looking awfully bare. Not as bare as the data/probability section, but still.

Simple PowerPoint here.

Little starter

Followed by some example problem pairs and some questions
I am still loving fill in the gap resources. Interestingly, my group managed to do this without seeing the formula triagle/rearranging the formula. They just used thinking skills to work backwards.

Not sure that the reflect/expect/reflect bit of these questions works. I’ve tried to make sure they compare it to the first question each time, but I think it is better when it’s more of a ‘journey’ and you compare it to the previous question in each case.

Still A* for formatting. It looks good.

Then I’ve made a blooket for some checking, some exam questions and a plenary.

This worked well with my group but it maybe needs some mini whiteboard work.

Have a lovely weekend


Mean from a list

Download the resource here

Some data handling for once!

I have deliberately just stuck to mean here. I like to focus on it, rather than doing mean, median and mode all in one lesson.

I quite like these questions. Just because there’s loads to talk about when going through them. Things like

  • On g to h : I added one to each value. What happened to the mean?
  • b and c. I’ve increased one value by 1 and decreased another by 1. What happens to the mean?
  • e) I’ve multiplied all values by 10. What has happened to the mean?

Lots of things to generalise and investigate. I’ve even chucked in a bit of algebra.

I’ve extended things by including some ‘missing number’ questions. Only 6.

Then there’s a learning check.

That’s it.

And that’s a resource every single week of this half term. The menu is looking a lot more full these days. Roll on 2023.

ChristMATHS 2022

Download it here.

My annual Christmas maths quiz is here. I’ve made it early this year to give people plenty of time to find it. (Looking back, I’ve made some sort of this quiz for 6 years now!) This isn’t just a quiz, it’s a quiz with lots of links to maths.

I know some people like to teach up until the last second, but I’ve always liked to finish the term off on a nice little maths quiz. I think it’s OK for us sometimes to let our hair down a little. I say this. I’m bald.

The rounds this year include some repeats from last year. Like the Shakin’ Stevens video round.

I think it’s nice to kick off with a song. And I’m sorry but I find this video hilarious. It’s utterly cursed. I’m usually cackling all the way through.

Round two this year is inspired by Linkee. I love a quiz. I love Linkee.

The questions were really hard to write!

Round three is a cipher type thing.

Let them use a calculator. Go on. Be nice. It’s Christmas.

Round four is the Chris Moyles Quiz night round. These are always a good laugh.

Round five is sudoko. I found this worked well last year. So I kept it. Also I couldn’t think of a round to replace it.

That’s Christmaths!

Other thoughts

  • Just two more weeks to go of term. Then I’d have uploaded a resource every week of term one. That’s pretty good going if you ask me.
  • If you’ve used any of my resources this term and liked them, and have some spare cash about, please do me a favour. Please consider a gift to KidsOut. Their online shop is filled with gifts that you can purchase to send to children in refuges. Read all about them. I genuinely get a little teary each time I do. Here is a real challenge. Take a second to read their website and stay dry eyed.
  • I hope you are having a wonderful Christmastime. Teaching is stressful and difficult and I hope you get the rest and relaxation you deserve.
Words and numbers

Download the resource here

I think this resource is quite good.

One thing I’ve noticed with pupils, is that literacy gets in the way of the mathematics more often then you would realise. There’s literacy issues with things like ‘range’ etc having very strict mathematical definitions, but we also use loads of different words for the same things.

Let’s take multiplication for instance. If we wanted to talk about 4 multiplied by 3, we might say : 4 times 3, 4 lots of 3, 4 groups of 3, four threes, etc. There’s loads and I think it can be quite a lot for a pupil to get their head around.

So I created 6 little starters that all use the same numbers but switch out the wording.

I think using them has been really helpful. There’s a few ambiguous ones in there, too. I love ambiguous cases, they provide great discussions.

Download these and have a look. I think they’re one of my best ideas.

Solving by factorising

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This is a follow up to my factorising quadratics lesson. I taught this two weeks ago, but I was cleaning up the slides to be put online. I really think the exercise that goes along with it is nicely thinky. Some variation and slow build up of activity.

3 leads on to these problem solve-y questions
Not a huge lot here, but I thought this lesson and my other quadratics lesson here sequenced well.

Other thoughts

  • I’ve been doing barvember. The pupils in my year 7 class have kinda hated it, which proves just how valuable and needed it was. These questions are so high quality, and it’s lovely to show how you can do some of these problems just with bars and basic four operations knowledge. I laminated some responses from the pupils, and they loved seeing their work up on the board. Great stuff.
  • This blog is going to break it’s usual format for the next few weeks. Next week I’ve got some starters for you, the week after … ChristMaths is going to be published early.
  • As always, thoughts and insights to @ticktockmaths on Twitter.
Substitution with positive integers

Download the resource here

Sometimes a resource benefits from you deleting stuff, not adding stuff.

I’ve got a much better understanding of what I want these resources to be, and how they’re helpful these days.

Case in point. This used to be a massive PowerPoint stuff with activities, just for the sake of doing activities. But there’s way better stuff on if you want nice worksheets.

I’ve cut right down on that. Now I know what I want. An example problem pair, some good questions and a base to build from. Other people have made interesting and fun substitutions tasks. I don’t need to put bad approximations of them in my slides. These are the bones of a lesson.

One thing I DO need is lots of feedback opportunities. Thus I’ve added in loads of mini whiteboard work.

These don’t move as quick as the gif 🙂 Clicking controls the speed.

And some questions whose progression makes sense

And that’s pretty much it. There’s some exam questions and a plenary, but I genuinely think that by deleting loads of stuff I’ve got much closer to the actual inquisition of the skill.

Sometimes, less is more.

Factorising Quadratics

Download the lesson here

No solving here. Just concentrating on the core skill of factorising. I started with an example and then this

Giving them one bracket so we build up the skill. But wait.


It doesn’t matter which way around the brackets go but on this exercise it kinda makes it look like it does


Did this this cause an issue with my students? No. Because I pointed out this to them. Sometimes sharing your thought processes when planning is a really useful thing.

Then there’s a regular exercise, and then this

Yes. I’ve had someone make emojis of my own face to use in my lesson resources. This might be one of the most egotistical things any maths teacher has done. Which leads into…
I’d rather do this as an extension rather than solving as I believe solving is this whole other thing. I’m going to do a PowerPoint wholly devoted to solving quadratics. I really do believe the skills are better split up this way.

Other thoughts

  • This only deals with quadratics where a=1. I’ve done a whole over PowerPoint on a>1 here.
  • Thinking about factorising quadratics in depth, you could easily do 2 lessons on factorising, 1/2 on non-monic quadratics and 1/2 on solving after you’ve factorised. And that’s without even talking much about graphs. My current year 11 scheme of work has ‘solving by factorising’ in one lesson. There is too much content in GCSE/IGCSE.

Download the PowerPoint here

I apologise for the over branding 🙂

Final resource of this half term.

I’ve packaged together some of the starters that I’ve been putting on Twitter challenging misconceptions I’ve seen in lessons. Stuff that I see a lot but doesn’t necessarily have a place in a SoW.

Stuff like the difference between a half and two

Or when we need to write trailing and leading zeroes.

I haven’t included the answers deliberately. These are meant for discussion. For instance, 12 here could be a currency.

I did the same with 1s.

I would do these with any class that have had algebra introduced. Even doing it with my 11 Higher class caught some misconceptions.

I would maybe only do this with lower years, though. I am trying to get at the idea that the digits stay in the same arrangement. I have found that I have two groups this year who find multiplying and dividing by 10, 100 and 1000 really difficult. On a recent assessment more than a few tried to do 2401/100 using the bus stop method.

I’ve reinforced it and reinforced it, but there are about 2 or 3 that still lack the skill and I’m running out of ways to address it. Any ideas to @ticktockmaths on twitter.

There’s also some that struggle with halving and doubling quickly. Again, really struggling to embed this.

This one tries to get at the unitary thing. It was interesting hearing student responses, especially as the answer depends so much on what x is. There’s a version with 3 if you want something more concrete.

The last one is identifying if the answer is a quarter (like half or two. I was kinda losing steam by this point.)

Also this page isn’t editable because of some stupid saving between computers bug 🙁

Right, that’s it for this half term.

I’ve managed to fill quite a lot of gaps.

Behind the scenes I’ve also got a lot of PowerPoints half started, ready to be finished up and polished up for uploading here. The goal of covering most things seems achievable, if still long way away.

No resource next week. It’s half term and I want a rest.