An integer is any positive or negative whole number or zero

An expression contains one or more terms, where each term is separated by an operator.

An equation is used to show 2 expressions that are equal to each other.

Checking understanding of algebraic notation

Maths

In this unit, pupils learn how to rearrange an equation to find a specific value that satisfies the equation. In expressions and formulae, pupils use their understanding of rearrangement to change the subject of a formula.

In the prior unit, pupils saw that an arithmetic sequence can be represented graphically and that this is a linear relationship. Any point on the line satisfies this relationship. In this unit, pupils learn how to find a value that satisfies the relationship when the second value is known, without the aid of the graph.

In this unit pupils will learn how to find a value that satisfies a linear relationship when one value is known both with a single step operation, and multiple step operations. A variety of cases are explored including using brackets and rearranging.

Solving linear equations

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

A variable is a quantity that can take on a range of values, often denoted by a letter.

A constant is a term that does not change; it contains no variables.

Like terms are terms that have the same set of variables and corresponding exponents.

Securing understanding of equality

The gradient is a measure of how steep a line is

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

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

The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.

Different types of equations

Equality in an equation

A solution to an equality with one variable is a value which, when substituted, maintains the equality between the expressions.

Solution to an equation

Many equations, one solution

The additive inverse of a number is a number that, when added to the original number, gives the sum of 0

Solving simple linear equations with an additive step

The reciprocal is the multiplicative inverse of any non-zero number.

Solving simple linear equations with a multiplicative step

Like terms are terms that have the same set of variables and corresponding exponents

Preparing to solve two step linear equations

Solving two step linear equations

Rearranging to solve linear equations

Solving complex linear equations

Brackets in equations

Solving linear equations where brackets are used

Solving complex linear equations involving brackets

The solution to an equality is the value which, when substituted, maintains the equality between expressions.

Solving linear equations graphically using technology

The solution to an equality is the value which, when substituted, maintains the equality between the expressions.

Solving linear equations

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These lessons will be removed by end of Summer Term 2025.