A binomial is an algebraic expression representing the sum of exactly 2 unlike terms.

More complex binomial products

Maths

Checking and securing understanding of the distributive law with algebraic terms

Checking and securing solving linear equations

The product of two binomials

Difference of two squares

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 binomial expression is equivalent to $$8 - x$$ ?

Which product of two binomials is equivalent to $$(x - 5)(5 - x)$$ ?

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

Match each product of two binomials to its expanded form. 

$$(3x -1)(2x + 5)$$ can be expanded and simplified to give $$6x^2 +$${{}}$$x - 5$$.

Expand and simplify $$(2b - 3a)(2a - 3b)$$.

Which of these expressions are binomials?

Which of these are equivalent to $$a - 6$$ ?

In the expression $$6x + 4$$, you call 6 the {{}} of $$x$$.

Match each product to its simplified form.

Match each product of two binomials to its expanded form.

More complex binomial products

Lesson outcome