A partial product refers to any of the multiplication results that lead up to an overall multiplication result.

A binomial is an algebraic expression representing the sum or difference of exactly two unlike terms.

Difference of two squares

Maths

Checking and securing understanding of the distributive law with algebraic terms

Checking and securing solving linear equations

The product of two binomials

More complex binomial products

Additive relationships

Multiplicative relationships between terms

Changing the subject with simple formula

Changing the subject with more complex formula

Changing the subject to suit the context

Evaluating expressions with and without changing the subject

Problem solving with expressions and formulae

In this unit, pupils use the distributive law to find the product of two binomials. In algebraic manipulation, pupils use apply this knowledge in order to factorise quadratics.

In the prior unit, pupils learnt how to rearrange an equation to find a specific value that satisfied the equation. In expressions and formulae, pupils use their understanding of rearrangement to change the subject of a formula.

This unit develops pupil understanding of formulae and how to rearrange them. Pupils will learn how to recognise and manipulate binomials and learn to recognise the difference of two squares.

Expressions and formulae

Match each product of two binomials to its simplified form.

Which of these expressions can be written as the difference of two squares?

Match each product of two binomials with its simplified form.

Which of these show an expression written in the 'difference of two squares' form?

a pair of values with a difference of zero

Use this area model to help you find the correct expansion of $$(x + 3)(x + 9)$$.

Use this area model to help you find the correct expansion of $$(x - 5)(x - 11)$$.

Fill in the missing value in this simplified expansion: $$(x +8)(x - 3)\equiv x^2 +$${{}}$$x - 24$$.

Which is the correct expanded form of $$(x - 6)^2$$ ?

Match each product of two binomials to its correct expansion.

Difference of two squares

Lesson outcome