To factorise is to express a term as the product of its factors.

To fully factorise is to factorise to the point that remaining term or terms cannot be factorised any further.

Factorising expressions

Maths

Checking understanding of expressions and equations

Securing understanding of expressions and equations

Representing a generalised number

Algebraic notation

Algebraic terminology

Representing an unknown or variable

Generalised algebraic statements

Substituting particular values

Like terms

Simplifying by collecting like terms

Multiplying an expression by a constant

Multiplying an expression by a term

Multiplying and simplifying with multiple expressions

Simplifying before multiplying with multiple expressions

Highest common factor with algebraic terms

Problem solving with expressions and equations

In this unit, pupils formalise algebraic notation and terms and begin to formulate an understanding of basic algebraic manipulation. This understanding is built upon in the future unit where pupils learn how to solve linear equations

In this unit, pupils learnt how to represent the structure of a problem with two unknowns using a diagram. This understanding is built upon in this unit and formalised

In this unit, pupils learn about generalisation and formal algebraic manipulation techniques such as substitution, collecting like terms and factorising.

Expressions and equations

To __________ is to express a term as a product of its factors.

Which of the below factorises the expression $$10x+20$$

Match the expressions to their factorised form.

The difference between $$2(5y+15)$$ and $$10(y+3)$$ is that the latter is {{ }} factorised.

Which of the below is not fully factorised?

$$1, 2, 3, 6, z, 2z, 3z$$ and $$6z$$ are __________ of $$18yz$$ and $$24xz$$

Which is not a factor pair for $$30ab^2c$$ ?

List the common factors of $$5cd$$ and $$35de$$

Find the highest common factor of the terms $$8ab$$ and $$20b^2$$

Find the HCF of the terms in the expression $$6d^3e^2f -8d^2ef^2+10d^3e$$

Factorising expressions

Lesson outcome