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

An exponent is a number positioned above and to the right of a base value. It indicates repeated multiplication.

An operation is commutative if the values it is operating on can be written in either order without changing the calculation.

Securing understanding of expressions and equations

Maths

Checking understanding of expressions and equations

Representing a generalised number

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

Find the value represented by the square in the bar model shown. The square represents {{ }}

Here is $$7^4$$. What does the number 4 represent in this example?

Which equations match the bar model shown?

Calculate: $$5\times(4+8)\div2^2$$ = {{ }}

Select any calculation that matches the description: 'I am thinking of a number. I add 5, then multiply by 10, then subtract 2"

Starting with the smallest, sort these calculations into order of size when evaluated.

Given that $$12+6=18$$, which equations are also true?

Select another way of writing $$4\times 4\times 4$$  

The calculation $$38\times 14$$ is the same as $$14\times 38$$ because multiplication is __________.

Andeep is 1.4 metres tall, when he stands on a stool he is 1.7 metres tall. Which bar model represents this scenario?

Securing understanding of expressions and equations

Lesson outcome