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

The product of two binomials

Maths

Checking and securing understanding of the distributive law with algebraic terms

Checking and securing solving linear equations

Difference of two squares

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

Which of these expressions are binomials?

Here is an area model for $$(x + 2)(x + 4).$$ Which of these expressions is the correct expanded form?

Here is an area model for $$(x - 3)(x - 1).$$ Which of these is the correct expanded form?

Which product of two binomials could be represented by this area model?

Which is the correct expanded form of $$(x - 3)^2$$ ?

Match each product of two binomials to its correct expansion.

$$2x$$ and $$5x$$ can be called __________ terms.

What expression could these algebra tiles represent?

Which is the correct area model to show the expansion of $$x(x + 3)$$? 

Which of these calculations are the same as $$11 \times 14$$ ?

The product of two binomials

Lesson outcome