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

Problem solving with expressions and formulae

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

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

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

What do you call a shape which is created using two or more basic shapes?

Which of these is an expression for the area of this rectangle?

Which of these is an expression for the area of this triangle?

Find an expression for the horizontal length marked with a '?' on this compound shape.

Which of these is an expression for the area of this compound shape?

All the length marked on this diagram are in centimetres. The area of the shaded part of this shape is 102 cm². The value of $$x$$ is {{}}.

All the lengths in the diagram are given in centimetres. Which calculation will find the area of the rectangle?

Select the expression that is equivalent to $${1\over2}(6x -2)$$.

All the lengths in the diagram are given in centimetres. The area of the triangle is {{}}cm².

All the lengths in the diagram are given in metres. The area of the trapezium is {{}}m².

Match each product of two binomials to its expanded form. 

Which of these is the correct expansion of $$(4x + 3)^2$$ ?

Problem solving with expressions and formulae

Lesson outcome