How do you teach GCSE students how to factorise an expression like; I was taught to solve through a very time consuming trial and improvement method with no reason given as to how it and why it worked. Since…

# KS4

## Factorising challenging algebraic expressions

Last night I had a request on my Twitter account to help someone in South Africa with a factorisation problem that he in turn was trying to help his younger brother with. He followed up by sending a photo of…

## Factorisation and expansion [2]

In the previous blog we considered how the teaching of expansion and factorisation might be better taught simultaneously. Looking at whole numbers only. In this blog we will continue by looking at different specific linear algebraic expressions. The first expression…

## What comes first expansion or factorisation?

My answer to the title question is expansion followed instantly by factorisation in order to make the links immediately between the two. As with all mathematics let us start with a simple case of expansion over brackets. 2(3+4) This example gives…

## Teaching, questioning but not telling. Angle at circumference of a semi-circle.

I wrote an earlier blog on this subject but thought it might be useful to break it down into a series of teacher to student questions and instructions to get a more active learning experience in the classroom. This can…