# Equations

Equations, terms, expressions and identities are things that get mixed up all the time.

A term is something made up of numbers, letters or both and is found between operators such as add, divide, multiply and subtract or the equals sign. Examples of terms include x, 3y, xyz and 7. So when we say, collect the like terms, we are saying collect the numbers together, collect all the terms that have x in together etc. It is important to note that x terms and x squared are not like terms.

An expression is made up of several terms and does not include an equals sign. Examples of an expression might be 3x + 2, 6 - 7y etc. If you have an equals sign, you have an expression on the left hand side of it and another on the right.

An equation is something that contains an equals sign. A=B would be an equation where A and B are expressions.

An identity is denoted with a three bar equals sign. It means that something is always true, no matter what values are substituted for the unknown quantities. A simple example would be that 3x + 2 = 5x is true when x=1 and so this is an equation. 3x + 2x = 5x is always true, no matter what the value of x, so this is an identity.

## PowerPoint on Reasoning Algebraically

PowerPoint on reasoning algebraically trying to get over the idea that you need to balance the left hand side of an equation with the right.

## Changing the subject

Progressively more difficult questions on changing the subject of an equation.

## Forming Equations

Form equations for the perimeter of rectilinear shapes and equate these to a given perimeter in order to find the unknown value.

## Video on Forming Equations

Video on forming equations to find the area of simple shapes.

Spreadsheet on balancing equations. Ideal for those students who find the concept a little more difficult as it gives them lots of arithmetic type practice to build up the concept. Originally written for my KS2 class.

## Spreadsheet on balancing equations 2

Spreadsheet on balancing equations. Ideal for those students who find the concept a little more difficult as it gives them lots of arithmetic type practice to build up the concept. Originally written for my KS2 class.

## Video on manipulating equations

Basic manipulation of equations introducing the idea of doing the same to the left hand side as you do to the right.

## Change the subject video

Changing the subject including using factorising.

## Change the subject video

Changing the subject including using factorising.

## Change the subject worksheet

Plenty of examples and questions on changing the subject of an equation.

## Change the subject video

A video giving plenty of examples on changing the subject of an equation.

Plenty of examples on changing the subject of an equation which is self marked using the spreadsheet.

## PowerPoint on forming equations

Forming equations to find the perimeter of ever more complex shapes. All the shapes are based on the rectangle.

## Worksheet on forming equations

Forming equations to find the perimeter of ever more complex shapes. All the shapes are based on the rectangle.

## Grouping like terms

Begin by grouping the like shapes and building up to grouping like terms.

## PowerPoint on forming equations

Examples of how to manipulate equations to find the unknown value in problems about perimeter.

## Angles in Parallelograms

Use the rule that opposite angles are equal in a parallelogram to find the size of the angles.

## Video that an expression is divisible by 8

Video to prove that eight divides into an expression.

## Video on proof an identity

Prove that two expressions are equal using algebra.

## Rearranging equations

Worksheet to change the subject of an equation.

## Equation Display Sheets

Information that would be useful to place on a maths display.

## Equation Dsiplay Sheets

Information that would be useful to place on a maths display with a historical bend to it.

## Forming Equations and Expressions

Worksheet on forming equations and expressions.

## Forming and Solving Equations in Geometry

Varied worksheet on forming and solving equations using geometry as the backdrop.