# Mathematics Monster

## Welcome to Mathematics Monster

With a comprehensive mathematics glossary and hundreds of step-by-step lessons (all with tests, games or interactive widgets), **Mathematics Monster** is perfect for anyone who wants to be more confident with mathematics. It's all free.

## Mathematics Curriculum (by Lesson)

# Algebra Curriculum

## Algebra Definitions

## Arithmetic with Letters

Adding letters | test 2 | test 3 |

Subtracting letters | test 2 | test 3 |

Multiplying letters | test 2 | test 3 |

Dividing letters | test 2 | test 3 |

## Arithmetic with Terms

Adding terms | test 2 | test 3 |

Subtracting terms | test 2 | test 3 |

Multiplying terms | test 2 | test 3 |

Dividing terms | test 2 | test 3 |

## Laws of Exponents in Algebra

## Like Terms

Understanding like terms | test 2 | test 3 |

Identifying like terms | test 2 | test 3 |

Adding like terms | test 2 | test 3 |

Subtracting like terms | test 2 | test 3 |

Collecting like terms | test 2 | test 3 |

## Expanding Brackets

## Solving Equations with Brackets

Solving an equation with brackets | test 2 | test 3 |

Solving an equation with two sets of brackets | test 2 | test 3 |

## Factoring

## Algebraic Fractions

# Equations: Linear Equations Curriculum

## Equations and Linear Equations

Understanding equations | test 2 | test 3 |

Understanding linear equations | test 2 | test 3 |

## Lines, Slopes and Y-Intercepts

## Slope-Point Form

## General Form

## Equation of a Line Between Two Points

# Equations: Quadratic Equations Curriculum

Finding the equation of a line between two points | test 2 | test 3 |

## Quadratic Equations

Understanding quadratic equations | test 2 | test 3 |

## Solving Quadratic Equations

## Difference of Squares

Understanding a difference of squares | test 2 | test 3 |

Solving quadratic equations using a difference of squares | test 2 | test 3 |

## Completing the Square

# Equations: Simultaneous Equations Curriculum

Understanding perfect square trinomials | test 2 | test 3 |

Understanding completing the square | request a test | |

Completing the square | test 2 | test 3 |

## Simultaneous Equations

Understanding simultaneous equations | request a test |

## Solving Simultaneous Equations

# Equations: Functions Curriculum

## Functions

Understanding functions | test 2 | test 3 |

Evaluating functions | test 2 | test 3 |

## Plotting Functions

Finding y-intercept of a function | test 2 | test 3 |

Finding x-intercepts of a function | test 2 | test 3 |

## Composite Functions

Understanding composite functions | test 2 | test 3 |

Finding a composite function | test 2 | test 3 |

Evaluating a composite function | test 2 | test 3 |

## Inverse Functions

# Fractions and Percentages: Fractions Curriculum

Understanding inverse functions | test 2 | test 3 |

Finding the inverse of a function | test 2 | test 3 |

Finding the inverse of a function using a graph | test 2 | test 3 |

## Fractions

Understanding fractions | test 2 | test 3 |

Understanding the numerator | test 2 | test 3 |

Understanding the denominator | test 2 | test 3 |

## Types of Fractions

## Equivalent Fractions and Simplifying Fractions

Understanding equivalent fractions and simplest form | test 2 | test 3 |

Simplifying fractions | test 2 | test 3 |

## Arithmetic with Fractions

## Using Fractions

Finding a fraction of a number | test 2 | test 3 |

Expressing a number as a fraction of another number | test 2 | test 3 |

## Converting Fractions

# Fractions and Percentages: Percentages Curriculum

Converting a fraction to a percentage | test 2 | test 3 |

Converting a fraction to a decimal | test 2 | test 3 |

## Percentages

Understanding percentages | test 2 | test 3 |

Finding a percentage of a number | test 2 | test 3 |

Expressing a number as a percentage of another number | test 2 | test 3 |

## Percentage Changes

Understanding percentage changes | test 2 | test 3 |

Finding a percentage change | test 2 | test 3 |

## Converting Percentages

# Geometry: Shapes Curriculum

Converting a percentage to a fraction | test 2 | test 3 |

Converting a percentage to a decimal | test 2 | test 3 |

## Plane Shapes

## Areas

## Volumes

Finding the volume of a cone | test 2 | test 3 |

Finding the volume of a cube | test 2 | test 3 |

Finding the volume of a cylinder | test 2 | test 3 |

Finding the volume of a sphere | test 2 | test 3 |

## Circles

## Radius of a Circle

Finding the radius from the diameter | test 2 | test 3 |

Finding the radius from the circumference | test 2 | test 3 |

Finding the radius from the area | test 2 | test 3 |

## Diameter of a Circle

Finding the diameter from the radius | test 2 | test 3 |

Finding the diameter from the circumference | test 2 | test 3 |

Finding the diameter from the area | test 2 | test 3 |

## Area of a Circle

Finding the area of a circle using diameter | test 2 | test 3 |

## Circle Theorems

## Triangles

## Angles

## Angle Properties

Understanding complementary angles | test 2 | test 3 |

Understanding supplementary angles | test 2 | test 3 |

Understanding explementary angles | test 2 | test 3 |

## Polygons

# Geometry: Transformations Curriculum

## Transformations

Understanding transformations | test 2 | test 3 |

## Translations

Understanding translations | test 2 | test 3 |

Translating a shape | test 2 | test 3 |

Describing a translation | test 2 | test 3 |

## Rotations

Understanding rotations | test 2 | test 3 |

Understanding the radial coordinate | test 2 | test 3 |

Understanding the common rotations | test 2 | test 3 |

Rotating a shape | request a test | |

Describing a rotation | test 2 | test 3 |

## Reflections

Understanding reflections | test 2 | test 3 |

Understanding the common reflections | test 2 | test 3 |

Reflecting a shape | test 2 | test 3 |

Describing a reflection | test 2 | test 3 |

## Enlargements

# Graphs and Coordinate Geometry Curriculum

## Graphs

Understanding the parts of a graph | test 2 | test 3 |

Understanding the x-axis | test 2 | test 3 |

Understanding the y-axis | test 2 | test 3 |

Understanding the origin | test 2 | test 3 |

## Cartesian Coordinates

## Polar Coordinates

## Coordinate Geometry of Points and Lines

Finding the distance between points | test 2 | test 3 |

Finding the slope between points | test 2 | test 3 |

Finding the midpoint between points | test 2 | test 3 |

## Transformations in Coordinate Geometry

## Equation of a Circle

# Numbers and Arithmetic: Numbers Curriculum

## Types of Numbers

Understanding the types of numbers | test 2 | test 3 |

Understanding natural numbers | test 2 | test 3 |

Understanding whole numbers | test 2 | test 3 |

Understanding integers | test 2 | test 3 |

## Positive and Negative Numbers

Understanding positive numbers | test 2 | test 3 |

Understanding negative numbers | test 2 | test 3 |

Arithmetic with negative numbers | test 2 | test 3 |

## Even and Odd Numbers

Understanding even numbers | test 2 | test 3 |

Understanding odd numbers | test 2 | test 3 |

Arithmetic with even and odd numbers | test 2 | test 3 |

## Prime Numbers

Understanding prime numbers | test 2 | test 3 |

Understanding composite numbers | test 2 | test 3 |

The fundamental theorem of arithmetic | test 2 | test 3 |

## Square Numbers and Square Roots

Understanding square numbers | test 2 | test 3 |

Understanding square roots | test 2 | test 3 |

## The Number Line

# Numbers and Arithmetic: Arithmetic Curriculum

Understanding the number line | test 2 | test 3 |

Adding on the number line | test 2 | test 3 |

Subtracting on the number line | test 2 | test 3 |

## Operations and Their Order

Understanding operations | test 2 | test 3 |

Understanding inverse operations | test 2 | test 3 |

Understanding the order of operations | test 2 | test 3 |

## Advanced Arithmetic

## Factors

Understanding factors | test 2 | test 3 |

Finding factors | test 2 | test 3 |

Understanding the greatest common factor | test 2 | test 3 |

Finding the greatest common factor | test 2 | test 3 |

## Multiples

Understanding multiples | test 2 | test 3 |

Understanding the least common multiple | test 2 | test 3 |

Finding the least common multiple | test 2 | test 3 |

## Powers

Understanding powers | test 2 | test 3 |

Understanding bases | test 2 | test 3 |

Understanding exponents | test 2 | test 3 |

## Laws of Exponents

Understanding the laws of exponents | test 2 | test 3 |

Multiplying powers | test 2 | test 3 |

Dividing powers | test 2 | test 3 |

Finding a power of a power | test 2 | test 3 |

Finding a negative exponent | test 2 | test 3 |

## Reciprocals

# Numbers and Arithmetic: Notation Curriculum

Understanding reciprocals | test 2 | test 3 |

Understanding an exponent of −1 | test 2 | test 3 |

## Scientific Notation

## Engineering Notation

# Probability and Statistics: Probability Curriculum

## Probability

Understanding probability | test 2 | test 3 |

Finding a probability | test 2 | test 3 |

## Combined Events

## Tree Diagrams

# Probability and Statistics: Statistics Curriculum

## Data

## Averages

## Measures of Spread

## Frequency Tables

## Cumulative Frequency Tables

Understanding cumulative frequency tables | test 2 | test 3 |

Making a cumulative frequency table | request a test |

## Grouped Frequency Tables

## Cumulative Grouped Frequency Tables

Understanding cumulative grouped frequency tables | test 2 | test 3 |

Making a cumulative grouped frequency table | request a test |

## Bar Charts

# Trigonometry Curriculum

Understanding bar charts | test 2 | test 3 |

Reading from a bar chart | test 2 | test 3 |

Creating a bar chart | request a test | |

Bar charts and the types of data | test 2 | test 3 |

## Right Triangle

Understanding right triangle | test 2 | test 3 |

Understanding the adjacent | test 2 | test 3 |

Understanding the opposite | test 2 | test 3 |

Understanding the hypotenuse | test 2 | test 3 |

## Pythagoras' Theorem

Understanding Pythagoras' theorem | test 2 | test 3 |

Finding the hypotenuse using Pythagoras' theorem | test 2 | test 3 |

Finding a shorter side using Pythagoras' theorem | test 2 | test 3 |

## Sine Function

## Cosine Function

## Tangent Function

## Area of a Triangle Using Trigonometry

Finding the area of a triangle using trigonometry | test 2 | test 3 |

## Mathematics Curriculum (by Subject)

Our mathematics curriculum is shown below.

**If you know what you're looking for, you can use the search box at the top of this page. If you're unsure, it might help you to search Mathematics Monster by curriculum.**

# Algebra

Algebra is a branch of mathematics that uses letters and other symbols to represent numbers.

# Equations

Equations show us that two things are equal using the equals sign =.

# Fractions and Percentages

Fractions and percentages show a part of a whole.

# Geometry

Geometry is a branch mathematics that studies shapes and their properties.

# Graphs and Coordinate Geometry

# Numbers and Arithmetic

Numbers are used to count. Arithmetic is the study of numbers and their operations.

# Statistics and Probability

Probability concerns the likelihood of events. Statistics concerns the study of data.

# Trigonometry

Trigonometry is a branch of mathematics that studies the angles and lengths of the sides of triangles.