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Mathematics · Year 10 · Path · MA5-ALG-P-02

Algebraic Techniques C

Expanding and factorising are the same journey travelled in opposite directions. Five lessons prove the identities worth knowing by sight, then build the factorising toolkit that undoes them, and finish with the fractions that need both.

5lessons
7syllabus points
3-4hstudy
Start Lesson 1 →
1
The Special Products
Proving and applying the two perfect squares and the difference of two squares
2
Expanding Binomial Products
The distributive law twice over; three brackets; combining several expansions
3
Factorising: Common Factors, Two Squares and Grouping
The order to try methods in, and why the common factor always comes first
4
Factorising Quadratic Trinomials
Monic by sum and product; non-monic by splitting the middle term
5
Algebraic Fractions
Common denominators with bracketed numerators; simplifying by factorising

Focus Area Snapshot

5lessons
7syllabus points
15worked examples
40questions

Where this leads

Algebraic Techniques C is a Path focus area, sitting outside the Core and preparing you for Mathematics Advanced in Year 11. Everything here is used constantly in senior algebra, so it is worth being fluent rather than merely correct.

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