An identity is an equation that holds true for all values of the variables. The symbol ≡ is used to show two expressions form an identity.

A formula is a rule linking sets of physical variables in context. The plural of formula is formulae.

A numerical coefficient is a constant multiplier of the variables in a term.

A constant is a term that does not change; it contains no variables.

Algebraic terminology

Maths

Checking understanding of expressions and equations

Securing understanding of expressions and equations

Representing a generalised number

Algebraic notation

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

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

In the expression $$4y+0.5-3x$$, what is the coefficient of $$x$$?

What is the constant term in the expression $$4y+0.5-3x$$?

Select any terms which are factors of $$16x^2y$$

Select any algebraic statements which are written correctly as identities.

shows two expressions are equal in some cases. Contains$$=$$

contains 1 or more terms and no equals sign

shows the relationship between multiple variables

shows two expressions are always equal. Contains $$\equiv$$ 

Match up the type of algebraic statement with their key features

Select the missing factor in the product $$ 5p\times$$ __________$$=15p^2q$$

Select the expression which is the same as $$1+-3$$

Select any numbers which are factors of 11

In the expression $$4x+2y-5+x^2$$ there are four __________

Select any expressions which are the same as $$y$$

Izzy says the factors of 18 are  1, 2, 3, 6, 18. Which factor has she missed out? {{ }}

Which is the correct way of writing $$x\times x\times x\times x\times y\times y$$?

Starter Quiz

Select the expression which is the same as $$1+-3$$