The distributive law says that multiplying a sum is the same as multiplying each addend and summing the result.

Checking and securing understanding of the distributive law with algebraic terms

Maths

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

The additive inverse of a number is a number that, when added to the original number, gives the sum of 0.

The reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to 1

Checking and securing solving linear equations

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

The product of two binomials

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

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

More complex binomial products

An equation is used to show two expressions that are equal to each other.

Additive relationships

A product in algebra is the result of two or more terms multiplied together.

Multiplicative relationships between terms

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

The subject of an equation/a formula is a variable that is expressed in terms of other variables. It should have an exponent of 1 and a coefficient of 1.

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

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

Expressions and formulae

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These lessons will be removed by end of Summer Term 2025.