An equation is used to show that one number or calculation is equal to another.

Expressions contain one or more terms, where each term is separated by an operator.

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

Generalised algebraic statements

Maths

Checking understanding of expressions and equations

Securing understanding of expressions and equations

Representing a generalised number

Algebraic notation

Algebraic terminology

Representing an unknown or variable

Substituting particular values

Like terms

Simplifying by collecting like terms

Multiplying an expression by a constant

Multiplying an expression by a term

Multiplying and simplifying with multiple expressions

Simplifying before multiplying with multiple expressions

Highest common factor with algebraic terms

Factorising expressions

Problem solving with expressions and equations

In this unit, pupils formalise algebraic notation and terms and begin to formulate an understanding of basic algebraic manipulation. This understanding is built upon in the future unit where pupils learn how to solve linear equations

In this unit, pupils learnt how to represent the structure of a problem with two unknowns using a diagram. This understanding is built upon in this unit and formalised

In this unit, pupils learn about generalisation and formal algebraic manipulation techniques such as substitution, collecting like terms and factorising.

Expressions and equations

The number of seconds is $$60\times $$ the number of minutes.

The number of minutes is $$60\times$$ the number of seconds.

The number of minutes is 60 times bigger than the number of seconds.

The number of seconds is 60 times bigger than the number of minutes.

$$s=60m$$ is a formula showing the relationship between number of seconds and number of minutes. Which of these are true?

There are 6 eggs in a box of eggs. Which of these shows the correct relationship where $$a$$ is the number of eggs and $$b$$ is the number of boxes?

The cost of a taxi is £3.50 plus £1.50 per mile driven. Which is the correct formula for the cost of getting a taxi?

The membership fees for a rugby team are £80 for the year, £3 match fees for every game you play and £2 for each item of kit.  For the formula $$c=3a+2b+80$$ match each value to its description.

Here is a pattern using lines to make triangles. Which of these is a formula showing the relationship between number of triangles $$(t)$$ and number of lines $$(l)$$ ?

Here is a pattern using lines to make triangles. How many lines would be needed to make this pattern with 10 triangles?

Here is a pattern using lines to make triangles. How many lines are needed to make the fourth pattern?

The pattern number is the same as the number of triangles.

The number of triangles is one more than the pattern number.

The number of triangles is 3 times the pattern number.

Here is a pattern using lines to make triangles. Which statement below is the correct relationship between the pattern number and number of triangles?

A {{}} shows the relationship between multiple physical variables in context.

a number multiplied by 7 then subtracted from 4

$$n$$ is the time it takes to get to school.

$$n$$ is the distance to and from school.

$$n$$ is the number of days he goes to school.

Lucas walks 2 miles to school and 2 miles back each day. He can write an expression for the distance walked each day he goes to school as $$4n$$. Which statements are true?

The cost of a pay as you go phone is £24 plus £0.04 per text. A formula for the overall cost to use the phone is given as $$0.04\times \text{texts} + 24$$. What is the variable in this formula?

Starter Quiz

Here is a pattern using lines to make triangles. How many lines are needed to make the fourth pattern?