Unitising means treating groups that contain, or represent, the same numbers of things as ‘ones’ or ‘units’.

Like terms are terms that have the same set of variables and corresponding exponents.

Like 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

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

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

$$3a, 10a, {{1} \over {3}}a, 0.5a,$$ and $$a$$ are all examples of what in algebra?

$$5x$$ and $$5x^2$$ are not like terms because the variables do not have corresponding {{}}.

In the expression $$x^2+7x+10$$ the $$x^2$$, the $$7x$$ and the $$10$$ are all known as what?

How do you write $$7\times a$$ using correct algebraic notation?

Which of these show a correctly written identity?

Match the expressions to their simplified form.

Which of the below simplifies to $$a^3b$$?

Like terms

Lesson outcome