An unknown is a quantity that has a set value but it is represented by a symbol or letter.

A variable is a quantity that can take on a range of values.

Representing a generalised number

Maths

Checking understanding of expressions and equations

Securing understanding of expressions and equations

Algebraic notation

Algebraic terminology

Representing an unknown or variable

Generalised algebraic statements

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

a mathematical statement showing one thing equal to another

a statement that applies to all relevant cases in a scenario

a quantity that has a set value, represented by a letter

True - with enough information you can use a bar model to find the value.

False - variables do not have set values, they vary depending on the situation

True or false: It is always possible to work out the value of a variable.

Which equation is represented by the bar model below?

I am thinking of a number, I add 4 and 2 then subtract from my number to get 19

I am thinking of a number, I subtract it from 19 and the answer is $$4+2$$

I am thinking of a number, I subtract 4 then add 2 and my answer is 19

I am thinking of a number, I subtract 4 and 2 to get 19

Select the statement that can be represented by the equation $$a-4+2=19$$

A taxi journey costs £3 plus £2 per mile travelled. Which equation represents this?

A taxi journey costs £3 plus £2 per mile. What is the maximum number of miles you could travel if you had £15 to spend? {{ }}

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

It costs £5 to enter a fairground and then £2 for each ride. How much would it cost to enter the fair and ride 3 rides? {{ }}

Select any calculation which represents the statement "I am thinking of a number. I multiply it by 10, then add 5, then subtract 2"

Which of these bar models represent the equation shown?

In a game, these shapes are worth different amounts of points. If a square is worth $$6$$ and a circle is worth $$4$$, what is the total number of points in the diagram shown? {{ }}

In a game, these shapes are worth different amounts of points. If a square is worth $$2$$ and a circle is worth $$-5$$, what is the total number of points in the diagram shown? {{ }}

Representing a generalised number

Lesson outcome