Trying to aim for a mastery/in depth lesson, rather than getting all the index laws done in one lesson. Huge credit to Jo Morgan (@mathsjem). Nicked a lot from her for this resource. CHANGELOG : 10/3/2022 Changed to new format, a bit of cleaning up

Whole lesson Example problem pair Questions Worded questions Whiteboard work 5 Quick question plenary

Quadrilaterals/kites/exterior angles. Need to add something on algebra when I come to update. NOTE: Everything is a work in progress. The latest version of this file can always be found at this link.

Changelog 9/11/2021 Updated some answers on the second exercise. Starts numerically, looking at rules for multiplying. Lots of practice Problem solving question Learning check at the end

Comparing populations. Finding the mean/median and range and comparing them for two sets of data. Ends with a past exam question.

An attempt at some variation theory This one was hard. I spent ages rearranging questions and looking at what should be added. Specifically, I had a massive dilemma when it came to introducing fractions. I was trying to point out the ways in which simplifying fractions and simplifying ratio were similar, but I’m not sure that I haven’t just led students down the wrong path thinking they’re equivalent. For instance 5 : 6 is 5/11 and 6/11, not 5/6. Hmmmm. The variations I used for section A. An example where you can use a prime divisor The opposite way around. What happens to our answer. Order is important! Half one side. 8 : 5 becomes 4 : 5 One that’s already as simple as possible. Time for some questioning? How do you know you can’t simplify it? It’s not just reducing the numbers down. Here you have to multiply up. Deals with what simple is. I have changed this from the picture to make only one number vary from the previous question. Needs a non prime divisor. This isn’t really a variation, though. It has nothing really to do with the previous questions! Again, double one side Double both. Our answer does not double! Adding a third part of the ratio. Changes the answer significantly. Doubling two parts here. Our parts don’t double in our answer! If you amend this and it works better, please let me know.

Simple finding the hypotenuse worksheet, but I’ve made sure the triangles are rotated. There’s a few little tricks (1-3 are the same to emphasise rotation)

Writing and using index notation Massively based off Jo Morgan’s superb work going in depth on indices. http://www.resourceaholic.com/p/topics-in-depth.html

As comprehensive as I could make it (without involving calculations) Rounding starter Upper/Lower Error intervals Discrete bounds Bounds with weird rounding Worksheet is a mirror of the questions on the PowerPoint 5 exercises with answers included

Talking about spotting number bonds for addition and grouping your subtrahends for subtraction to make doing a calculation much simpler. A exercise on each.

Some exercises. Some example problem pairs. Quite like the fill in the gaps exercise here.

No union or intersection. Just the language of using ‘subset’ and ‘is an elelment of’ and the signs.

Really simple resource. Changing the subject when you need to factorise. Split into three sections -If your terms are already grouped -If you need to group them -If you need to multiply across and then regroup. Example problem pairs and exercises for all, although the exercises aren’t anything very exciting at all.

Just a simple powerpoint lesson. Example problem pair, followed by some questions, some discussion an exercise and some UKMT problems. CHANGELOG : 30/10/24 : Added an extra set of questions.

Just a quick little PowerPoint and worksheet. Finding percentage increase/decrease. There’s no multipliers here. I teach that as a separate lesson usually.

Very simple introduction to writing vectors in column notation, along with adding and multiplying them. Three example problem pairs, three matching exercises of questions, some mini whiteboard work and a plenary.

Covers simple interest, compound interest, appreciation and depreciation. 3 exercises and a few big questions. Example problem pairs for everything.

Full lesson Example problem pairs Questions Exam questions Learning check When I come to update this, I need to add more questions where substitution is required. NOTE : I update my PowerPoints a lot, but don’t always reupload them to TES. They’re a work in progress. The latest version of this PowerPoint can always be found here.

Students measure sides of shape to determine if it is regular or not. As always, please comment if you found this useful, have an idea on how to improve it, or want something changed.

I’ve updated this massively. I’ve thrown lots of stuff out. It’s now quite barebones (warm up/example problem pair/mini whiteboard work/exercise/plenary).