Mathematics·Algebra·procedural
Factorising Expressions
Factorise algebraic expressions by taking out common factors — identify the highest common factor of all terms and write the expression as a product, e.g., 6x + 9 = 3(2x + 3)
Suggested ages 12–13
Evidence of understanding
- Identify the highest common factor of all terms in an expression
- Write the factorised form as a product of the HCF and a bracket
- Check factorisation by expanding the brackets back out
Assessment prompt
Can Factorising Expressions look at an expression like "6x + 9" and rewrite it with the common factor taken out — as "3(2x + 3)"?
Standards alignment
7.EE.1US · ccss-math
Apply properties of operations to linear expressions
Common Core State Standards for Mathematics · 7
KS3.Maths.Alg.4cGB · uk-nc-2013
Simplify Expressions: Taking Out Common Factors
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3