A factor is a term which exactly divides another term.

The highest common factor of two or more terms which can be divided by all other possible common factors.

HCF is an abbreviation for highest common factor.

Factorise means to express a term as the product of its factors.

Highest common factor with algebraic terms

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

Factorising expressions

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

HCF is an abbreviation of Highest {{ }} Factor.

$$3, 6, 9, y, 3y, 6y, 9y, y^2, 3y^2, 9y^2$$

$$1, 2, 3, 6, x, 2x, 3x, 6x, xy, 2xy, 3xy, 6xy$$

List all of the common factors of $$6xy$$ and $$18xz$$.

Match the pairs of terms to their Highest Common Factor.

Use the Venn Diagram to find the HCF of $$20abc^2$$ and $$25a^2c^3$$

$$1, 5, x, y, xy, 5x, 5y$$ and $$5xy$$ are all  __________ of the algebraic term $$5xy$$

What is the Highest Common Factor of 16 and 20?

Select all the expressions which are always equal to $$12xy^2z$$

Use this Venn Diagram to find the HCF of 84 and 462.

Highest common factor with algebraic terms

Lesson outcome