Maths Lessons

Select your lesson from the options below.

Algebra

Graphing

The Equation of a Circle

How to Find x and y axis Intercepts

How to Find the Midpoint of a Line Segment

How to Find the Equation of a Line from Two Points

How to Find a Parallel Line through a Point

How to Calculate the Angle and Slope of a Line

Indices

A Complete Guide to Multiplying Exponents

Surds

How to Simplify Surds

Quadratics

How to Solve a Quadratic Equation

The Discriminant of a Quadratic

Completing the Square

Functions

How to Understand Sign Diagrams

Composite Functions: A Complete Guide

How to Find an Inverse Function

Logarithms

How to Write in Logarithmic Form

How to Change the Base of a Logarithm

Logarithm Laws Made Easy: A Complete Guide with Examples

Binomial Expansion

The Binomial Expansion

Exponential Functions

How to Solve an Exponential Equation

Vectors

Vector Calculations

How to Find the Angle Between Two Vectors

How to Find the Vector Between Two Points

How to Find a Vector Perpendicular to a Plane

How to Calculate the Magnitude and Direction of a Vector

How to Find the Scalar Product of Two Vectors

How to Calculate Scalar and Vector Projections

How to Show that 3 Points are Collinear

Probability

Probability Tree Diagrams

A Complete Guide to Probability Tree Diagrams

Statistics

Box Plots and 5 Number Summaries

How to Find a Five Number Summary

How to Understand and Compare Box Plots

Spread of Data

How to Calculate Variance

Normal Distribution

How to Understand and Calculate Z-Scores

Bivariate Statistics

How to Make and Interpret Residual Plots

Calculus

Differentiation

How To Differentiate By First Principles

How to Find the Average Rate of Change

The Chain Rule Made Easy: Examples and Solutions

How to Find and Classify Stationary Points

How to Differentiate Exponential Functions

How to Sketch the Graph of the Derivative

Integration

How to Find the Area Between Two Curves

Tangents and Normals

How to Find the Equation of a Tangent Line

Kinematics

How to Find Displacement, Velocity and Acceleration

Trigonometry

Right-Angled Trigonometry

How to Find a Missing Angle in a Right-Angled Triangle

Trigonometric Identities

The Complete Guide to the Trigonometry Double Angle Formulas

Geometry

Pythagoras’ Theorem

The Complete Guide to Pythagoras’ Theorem

How to Find the Diagonal of a Rectangle

Bearings

How to Calculate Bearings

Trigonometry

How To Find The Area Of A Triangle Using The Sine Rule

Volume and Surface Area

How to Calculate the Volume of a Spherical Cap

Area

How to Calculate the Area of a Shape with Simpson’s 1/3 Rule

Networks

Minimum Spanning Trees

How to Do Prim’s Algorithm

The Critical Path Method

Forward/Backward Scan: How to Find the Critical Path

How to Create a Precedence Network Diagram

Dominance Matrices

How To Determine Winners Using Dominance Matrices

Number of Paths Algorithm

How to do the Number of Paths Algorithm

Sequences and Series

Geometric Series

How to Find the Sum to Infinity of a Geometric Series

Percentages

Percentage Error

How to Calculate Percentage Error

Percentage Calculations

How To Calculate An Original Amount Using Reverse Percentages

Number Systems

Binary

How to Read and Write Binary Numbers

Scientific Notation

A Complete Guide to Scientific Notation (Standard Form)

Degrees, Minutes and Seconds

How to Convert Degrees, Minutes and Seconds

Graphs, Charts and Diagrams

Venn Diagrams

How to Solve Venn Diagrams with 3 Circles

Complex Numbers

Modulus and Argument of Complex Numbers

How to Find the Modulus and Argument of Complex Numbers

De Moivre’s Theorem

How to Use De Moivre’s Theorem to Find Powers of Complex Numbers

Fractions

Basic Fractions

How to Plot Fractions on a Number Line: Examples

Proof by Induction

Proof by Induction: Divisibility

How to do Proof by Mathematical Induction for Divisibility

Proof by Induction: Matrices

How to do Proof by Induction with Matrices

Proof by Induction: Products

A Complete Guide: Proof by Mathematical Induction with Products

Matrices

Inverse Matrices

How to Find the Inverse of a 2×2 Matrix

Linear Programming

How to do Linear Programming