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

Additive relationships

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

More complex binomial products

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

$$3x^2+4x=13$$ being rearranged to $$4x+3x^2=13$$ is an example of __________.

Which of these equations are valid rearrangements of the generalisation $$a+b=c$$ ?

Which of these equations are valid rearrangements of the equation $$100-2x=5y$$ ?

Which of these equations are represented in this bar model?

Which of the below are correct rearrangements of the equation 71 + 13 + 15 = 99 ?

Which of the below are correct rearrangements of the equation $$9x^3+2y-7=3z$$ ?

63 + 37 = 100 being rearranged to 37 + 63 = 100 is an example of __________.

When rearranging equations, you must perform the same operation to both sides in order to maintain __________.

In the equation 172 + 398 = 570, the term 570 can be described as the __________ of 172 and 398.

Given that 1734 + 2117 = 3851, which of these calculations are correct?

Match each operation to its inverse operation.

Which of these equations can be represented by this bar model?

Exit Quiz

$$3x^2+4x=13$$ being rearranged to $$4x+3x^2=13$$ is an example of __________.