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. There are no adverts, and it's all free. We just love mathematics!
Mathematics Curriculum (by Lesson)
Algebra Curriculum
Algebra Definitions
Understanding terms in algebra
Understanding expressions in algebra
Arithmetic with Letters
Arithmetic with Terms
Laws of Exponents in Algebra
Understanding the laws of exponents
Understanding an exponent of −1
Like Terms
Expanding Brackets
Expanding brackets using the grid method
Understanding the FOIL methods
Multiplying expressions in algebra
Expanding double brackets using the grid method
Solving Equations with Brackets
Solving an equation with brackets
Solving an equation with two sets of brackets
Factoring
Understanding factors in algebra
Understanding the greatest common factor in algebra
Finding the greatest common factor in algebra
Algebraic Fractions
Understanding algebraic fractions
Subtracting algebraic fractions
Multiplying algebraic fractions
Simplifying algebraic fractions
Finding the reciprocal of an algebraic fraction
Equations: Linear Equations Curriculum
Equations and Linear Equations
Understanding linear equations
Lines, Slopes and Y-Intercepts
Understanding linear equations in slope-intercept form
Finding the slope from a linear equation
Finding the y-intercept of a line
Finding the y-intercept from a linear equation
Finding the equation of a line
Slope-Point Form
Understanding linear equations in slope-point form
Finding the slope from a linear equation in slope-point form
Finding the y-intercept from a linear equation in slope-point form
General Form
Understanding linear equations in general form
Finding the slope from a linear equation in general form
Finding the y-intercept from a linear equation in general form
Converting a linear equation from general to slope-intercept form
Equation of a Line Between Two Points
Finding the equation of a line between two points
Equations: Quadratic Equations Curriculum
Quadratic Equations
Understanding quadratic equations
Solving Quadratic Equations
Solving quadratic equations using factoring
Solving quadratic equations using factoring (a ≠ 1)
Solving quadratic equations using the quadratic formula
Solving quadratic equations using a graph
Difference of Squares
Understanding a difference of squares
Solving quadratic equations using a difference of squares
Completing the Square
Understanding perfect square trinomials
Understanding completing the square
Equations: Simultaneous Equations Curriculum
Simultaneous Equations
Understanding simultaneous equations
Solving Simultaneous Equations
Solving simultaneous equations
Solving simultaneous equations using elimination
Solving simultaneous equations using elimination (where coefficients differ)
Solving simultaneous equations using substitution
Solving simultaneous equations using a graph
Equations: Functions Curriculum
Functions
Plotting Functions
Finding y-intercept of a function
Finding x-intercepts of a function
Composite Functions
Understanding composite functions
Evaluating a composite function
Inverse Functions
Understanding inverse functions
Finding the inverse of a function
Finding the inverse of a function using a graph
Fractions and Percentages: Fractions Curriculum
Fractions
Types of Fractions
Understanding proper fractions
Understanding improper fractions
Converting mixed to improper fractions
Converting improper to mixed fractions
Equivalent Fractions and Simplifying Fractions
Understanding equivalent fractions and simplest form
Arithmetic with Fractions
Finding the reciprocal of a fraction
Finding the power of a fraction
Using Fractions
Finding a fraction of a number
Expressing a number as a fraction of another number
Converting Fractions
Converting a fraction to a percentage
Converting a fraction to a decimal
Fractions and Percentages: Percentages Curriculum
Percentages
Finding a percentage of a number
Expressing a number as a percentage of another number
Percentage Changes
Understanding percentage changes
Converting Percentages
Converting a percentage to a fraction
Converting a percentage to a decimal
Geometry: Shapes Curriculum
Plane Shapes
Areas
Finding the area of an ellipse
Finding the area of a parallelogram
Finding the area of a rectangle
Finding the area of a trapezoid
Finding the area of a triangle
Volumes
Finding the volume of a cylinder
Finding the volume of a sphere
Circles
Understanding the circumference
Finding the length of an arc (degrees)
Finding the length of an arc (radians)
Finding the area of a sector (degrees)
Finding the area of a sector (radians)
Radius of a Circle
Finding the radius from the diameter
Finding the radius from the circumference
Finding the radius from the area
Diameter of a Circle
Finding the diameter from the radius
Finding the diameter from the circumference
Finding the diameter from the area
Area of a Circle
Finding the area of a circle using diameter
Circle Theorems
Understanding the circle theorems:
Two radii make an isosceles triangle
Perpendicular bisector of a chord
Angle at the center is twice the angle at the circumference
Angles in the same segment are equal
Angles in a cyclic quadrilateral
Tangents from the same point are the same length
Triangles
Understanding the types of triangles
Understanding equilateral triangles
Understanding isosceles triangles
Understanding scalene triangles
Understanding the interior angles of a triangle
Finding a missing angle in a triangle
Finding a missing angle in an isosceles triangle
Angles
Understanding the types of angles
Angle Properties
Understanding complementary angles
Understanding supplementary angles
Understanding explementary angles
Polygons
Understanding the interior angles of a polygon
Finding the interior angle of a regular polygon
Finding the sum of the interior angles of a polygon
Understanding the exterior angles of a polygon
Finding the exterior angle of a regular polygon
Understanding the sum of an interior and exterior angle of a polygon is 180°
Geometry: Transformations Curriculum
Transformations
Translations
Rotations
Understanding the radial coordinate
Understanding the common rotations
Reflections
Understanding the common reflections
Enlargements
Understanding the scale factor
Enlarging a shape with a fractional scale factor
Enlarging a shape with a negative scale factor
Describing an enlargement with a negative scale factor
Graphs and Coordinate Geometry Curriculum
Graphs
Understanding the parts of a graph
Cartesian Coordinates
Understanding Cartesian coordinates
Understanding the x-coordinate
Understanding the y-coordinate
Drawing a point from Cartesian coordinates
Reading off a point from Cartesian coordinates
Polar Coordinates
Understanding polar coordinates
Understanding the radial coordinate
Understanding the angular coordinate
Drawing a point from Cartesian coordinates
Reading off a point from polar coordinates
Converting from Cartesian to polar coordinates
Converting from polar to Cartesian coordinates
Coordinate Geometry of Points and Lines
Finding the distance between points
Finding the slope between points
Finding the midpoint between points
Transformations in Coordinate Geometry
Reflecting shapes in the x-axis
Reflecting shapes in the y-axis
Reflecting shapes in the line y = x
Reflecting shapes in the line y = −x
Equation of a Circle
Understanding the basic equation of a circle
Understanding the equation of a circle
Finding the center and radius from the equation of a circle
Understanding the equation of a circle in general form
Converting an equation of a circle from general to standard form
Numbers and Arithmetic: Numbers Curriculum
Types of Numbers
Understanding the types of numbers
Positive and Negative Numbers
Understanding positive numbers
Understanding negative numbers
Arithmetic with negative numbers
Even and Odd Numbers
Arithmetic with even and odd numbers
Prime Numbers
Understanding composite numbers
The fundamental theorem of arithmetic
Square Numbers and Square Roots
The Number Line
Subtracting on the number line
Numbers and Arithmetic: Arithmetic Curriculum
Operations and Their Order
Understanding inverse operations
Understanding the order of operations
Advanced Arithmetic
Understanding long subtraction
Understanding long multiplication
Understanding long multiplication with decimals
Understanding long division with a remainder
Understanding long division with decimals
Factors
Understanding the greatest common factor
Finding the greatest common factor
Multiples
Understanding the least common multiple
Finding the least common multiple
Powers
Laws of Exponents
Understanding the laws of exponents
Reciprocals
Understanding an exponent of −1
Numbers and Arithmetic: Notation Curriculum
Scientific Notation
Understanding scientific notation
Converting a number to scientific notation
Converting a number less than 1 to scientific notation
Converting scientific notation to a number
Converting scientific notation with a negative exponent to a number
Engineering Notation
Understanding engineering notation
Converting a number to engineering notation
Converting a number less than 1 to engineering notation
Converting engineering notation to a number
Converting engineering notation with a negative exponent to a number
Probability and Statistics: Probability Curriculum
Probability
Combined Events
Understanding independent events
Understanding the multiplication rule
Understanding dependent events
Understanding mutually exclusive events
Understanding the addition rule
Understanding complementary events
Tree Diagrams
Multiplication rule on a tree diagram
Addition rule on a tree diagram
Understanding dependent events on a tree diagram
Probability and Statistics: Statistics Curriculum
Data
Understanding the types of data
Understanding quantitative data
Understanding qualitative data
Averages
Measures of Spread
Understanding the lower quartile
Understanding the upper quartile
Understanding the interquartile range
Finding the interquartile range
Frequency Tables
Understanding frequency tables
Finding the mean from a frequency table
Finding the median from a frequency table
Finding the mode from a frequency table
Finding the range from a frequency table
Cumulative Frequency Tables
Understanding cumulative frequency tables
Making a cumulative frequency table
Grouped Frequency Tables
Understanding grouped frequency tables
Making a grouped frequency table
Finding the mean from a grouped frequency table
Finding the median group from a grouped frequency table
Finding the mode group from a grouped frequency table
Cumulative Grouped Frequency Tables
Understanding cumulative grouped frequency tables
Making a cumulative grouped frequency table
Bar Charts
Bar charts and the types of data
Trigonometry Curriculum
Right Triangle
Pythagoras' Theorem
Understanding Pythagoras' theorem
Finding the hypotenuse using Pythagoras' theorem
Finding a shorter side using Pythagoras' theorem
Sine Function
Understanding the sine function
Finding the angle using the sine function
Finding the opposite using the sine function
Finding the hypotenuse using the sine function
Cosine Function
Understanding the cosine function
Finding the angle using the cosine function
Finding the adjacent using the cosine function
Finding the hypotenuse using the cosine function
Tangent Function
Understanding the tangent function
Finding the angle using the tangent function
Finding the opposite using the adjacent function
Finding the adjacent using the tangent function
Area of a Triangle Using Trigonometry
Mathematics Curriculum (by Subject)
Our mathematics curriculum is shown below.
Click on a box below to find out more about the mathematics topics!
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.
