Understand that real numbers can be rational or irrational.
Establish between which two integers a given simple surd lies.
Round real numbers to an appropriate degree of accuracy.
Multiplication of a binomial by a trinomial.
Factorisation to include types taught in grade 9 and: * trinomials * grouping in pairs * sum and difference of two cubes
Simplification of algebraic fractions using factorisation with denominators of cubes (limited to sum and difference of cubes)
Learn the concepts:
Real numbers, surds and rounding off
These three videos cover the first three points of the check list. While these concepts may be easy, learners often answer the questions wrong. Make sure you revise these concepts before any big assessment.
These three videos revise some of the basics of 'finding the products'. The first two videos are a revision of Grade 8 and 9 work, but the third video talks about point 4 in the check list, multiplying a binomial by a trinomial.
This can be a lot of fun, once you figure out a system to tackle each problem. When I do a problem, I use a check list to make sure that I have tried every possible method in a logical order. This check list is:
Finding a common factor * Factorise by grouping * Changing of the signs
Difference of two square
Factorising a trinomial
Sum or difference of two cubes
If you always look for a common factor first (and yes, this does include factorise by grouping and changing the sign), then the rest of the problem should be a lot easier.
All of these videos cover the content in point 5 of the check list. It's worth spending a lot of time mastering factorising as this skill is need in many other sections too.
I think there are more people scared of fractions than there are of ghosts, or clowns, or moths. To be honest, until I studied teaching, I was also a little afraid. I wasn't sure when to find a LCD and when to multiply what together. If you want my advice, forget all the tips and tricks you've been taught before and approach this section with a clear head.
The first video goes over the basics of how to work with fractions. Make sure you master those before moving on to the other videos.The rest of the videos teach and practice all the skills needed for point 6 on the check list.