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

Understanding equations	test 2	test 3
Understanding constants	test 2	test 3
Understanding variables	test 2	test 3
Understanding coefficients	test 2	test 3
Understanding exponents	test 2	test 3
Understanding operators	test 2	test 3
Understanding terms in algebra	test 2	test 3
Understanding expressions in algebra	test 2	test 3

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

Understanding the laws of exponents	test 2	test 3
Understanding an exponent of −1	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 power of a product	test 2	test 3
Finding a negative exponent	test 2	test 3

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

Expanding brackets	test 2	test 3
Expanding brackets using the grid method	test 2	test 3
Expanding double brackets	test 2	test 3
Understanding the FOIL methods	test 2	test 3
Multiplying expressions in algebra	test 2	test 3
Expanding double brackets using the grid method	test 2	test 3

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

Understanding factors in algebra	test 2	test 3
Finding factors in algebra	test 2	test 3
Understanding the greatest common factor in algebra	test 2	test 3
Finding the greatest common factor in algebra	test 2	test 3
Factoring an expression	test 2	test 3

Algebraic Fractions

Equations: Linear Equations Curriculum

Understanding algebraic fractions	test 2	test 3
Adding algebraic fractions	test 2	test 3
Subtracting algebraic fractions	test 2	test 3
Multiplying algebraic fractions	test 2	test 3
Dividing algebraic fractions	test 2	test 3
Simplifying algebraic fractions	test 2	test 3
Finding the reciprocal of an algebraic fraction	test 2	test 3

Equations and Linear Equations

Understanding equations	test 2	test 3
Understanding linear equations	test 2	test 3

Lines, Slopes and Y-Intercepts

Understanding linear equations in slope-intercept form	test 2	test 3
Understanding slope	test 2	test 3
Finding the slope of a line	test 2	test 3
Finding the slope from a linear equation	test 2	test 3
Understanding the y-intercept	test 2	test 3
Finding the y-intercept of a line	test 2	test 3
Finding the y-intercept from a linear equation	test 2	test 3
Finding the equation of a line	test 2	test 3

Slope-Point Form

Understanding linear equations in slope-point form	test 2	test 3
Finding the slope from a linear equation in slope-point form	test 2	test 3
Finding the y-intercept from a linear equation in slope-point form	test 2	test 3

General Form

Understanding linear equations in general form	test 2	test 3
Finding the slope from a linear equation in general form	test 2	test 3
Finding the y-intercept from a linear equation in general form	test 2	test 3
Converting a linear equation from general to slope-intercept form	test 2	test 3

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

Solving quadratic equations	test 2	test 3
Solving quadratic equations using factoring	test 2	test 3
Solving quadratic equations using factoring (a ≠ 1)	test 2	test 3
Solving quadratic equations using the quadratic formula	test 2	test 3
Solving quadratic equations using a graph	test 2	test 3

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

Solving simultaneous equations	test 2	test 3
Solving simultaneous equations using elimination	test 2	test 3
Solving simultaneous equations using elimination (where coefficients differ)	test 2	test 3
Solving simultaneous equations using substitution	test 2	test 3
Solving simultaneous equations using a graph	test 2	test 3

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

Understanding proper fractions	test 2	test 3
Understanding improper fractions	test 2	test 3
Understanding mixed fractions	test 2	test 3
Converting mixed to improper fractions	test 2	test 3
Converting improper to mixed fractions	test 2	test 3

Equivalent Fractions and Simplifying Fractions

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

Arithmetic with Fractions

Adding fractions	test 2	test 3
Subtracting fractions	test 2	test 3
Multiplying fractions	test 2	test 3
Dividing fractions	test 2	test 3
Finding the reciprocal of a fraction	test 2	test 3
Finding the power of a fraction	test 2	test 3

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

Understanding circles	test 2	test 3
Understanding ellipses	test 2	test 3
Understanding parallelograms	test 2	test 3
Understanding rectangles	test 2	test 3
Understanding squares	test 2	test 3
Understanding trapezoids	test 2	test 3
Understanding triangles	test 2	test 3

Areas

Finding the area of a circle	test 2	test 3
Finding the area of an ellipse	test 2	test 3
Finding the area of a parallelogram	test 2	test 3
Finding the area of a rectangle	test 2	test 3
Finding the area of a square	test 2	test 3
Finding the area of a trapezoid	test 2	test 3
Finding the area of a triangle	test 2	test 3

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

Understanding the radius	test 2	test 3
Understanding the diameter	test 2	test 3
Understanding the circumference	test 2	test 3
Understanding pi	test 2	test 3
Finding the length of an arc (degrees)	test 2	test 3
Finding the length of an arc (radians)	test 2	test 3
Finding the area of a sector (degrees)	test 2	test 3
Finding the area of a sector (radians)	test 2	test 3

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

Understanding the circle theorems:.html" class="cursq4">test 2	test 2	test 3
Tangent meets a radius at 90°	test 2	test 3
Two radii make an isosceles triangle	test 2	test 3
Perpendicular bisector of a chord	test 2	test 3
Angle at the center is twice the angle at the circumference	test 2	test 3
Angle in a semicircle is 90°	test 2	test 3
Angles in the same segment are equal	test 2	test 3
Angles in a cyclic quadrilateral	test 2	test 3
Tangents from the same point are the same length	test 2	test 3
Alternate segment theorem	test 2	test 3

Triangles

Understanding the types of triangles	test 2	test 3
Understanding equilateral triangles	test 2	test 3
Understanding isosceles triangles	test 2	test 3
Understanding scalene triangles	test 2	test 3
Understanding the interior angles of a triangle	test 2	test 3
Finding a missing angle in a triangle	test 2	test 3
Finding a missing angle in an isosceles triangle	test 2	test 3

Angles

Understanding angles	test 2	test 3
Understanding degrees	test 2	test 3
Understanding the types of angles	test 2	test 3
Understanding acute angles	test 2	test 3
Understanding right angles	test 2	test 3
Understanding obtuse angles	test 2	test 3
Understanding straight angles	test 2	test 3
Understanding reflex angles	test 2	test 3
Understanding full angles	test 2	test 3
Understanding radians	test 2	test 3

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

Understanding polygons	test 2	test 3
Understanding the interior angles of a polygon	test 2	test 3
Finding the interior angle of a regular polygon	test 2	test 3
Finding the sum of the interior angles of a polygon	test 2	test 3
Understanding the exterior angles of a polygon	request a test
Finding the exterior angle of a regular polygon	test 2	test 3
Understanding the sum of an interior and exterior angle of a polygon is 180°	test 2	test 3

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

Understanding enlargements	test 2	test 3
Understanding the scale factor	test 2	test 3
Enlarging a shape	request a test
Enlarging a shape with a fractional scale factor	request a test
Enlarging a shape with a negative scale factor	request a test
Describing an enlargement	test 2	test 3
Describing an enlargement with a negative scale factor	test 2	test 3

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

Understanding Cartesian coordinates	test 2	test 3
Understanding the x-coordinate	test 2	test 3
Understanding the y-coordinate	test 2	test 3
Drawing a point from Cartesian coordinates	test 2	test 3
Reading off a point from Cartesian coordinates	test 2	test 3

Polar Coordinates

Understanding polar coordinates	test 2	test 3
Understanding the radial coordinate	test 2	test 3
Understanding the angular coordinate	test 2	test 3
Drawing a point from Cartesian coordinates	test 2	test 3
Reading off a point from polar coordinates	test 2	test 3
Converting from Cartesian to polar coordinates	test 2	test 3
Converting from polar to Cartesian coordinates	test 2	test 3

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

Translating shapes	test 2	test 3
Reflecting shapes in the x-axis	test 2	test 3
Reflecting shapes in the y-axis	test 2	test 3
Reflecting shapes in the line y = x	test 2	test 3
Reflecting shapes in the line y = −x	test 2	test 3

Equation of a Circle

Numbers and Arithmetic: Numbers Curriculum

Understanding the basic equation of a circle	test 2	test 3
Understanding the equation of a circle	test 2	test 3
Finding the center and radius from the equation of a circle	test 2	test 3
Understanding the equation of a circle in general form	test 2	test 3
Converting an equation of a circle from general to standard form	test 2	test 3

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

Understanding place value	test 2	test 3
Understanding long addition	test 2	test 3
Understanding long subtraction	test 2	test 3
Understanding long multiplication	test 2	test 3
Understanding long multiplication with decimals	test 2	test 3
Understanding long division	test 2	test 3
Understanding long division with a remainder	test 2	test 3
Understanding long division with decimals	test 2	test 3

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

Understanding powers of 10	test 2	test 3
Understanding scientific notation	test 2	test 3
Converting a number to scientific notation	test 2	test 3
Converting a number less than 1 to scientific notation	test 2	test 3
Converting scientific notation to a number	test 2	test 3
Converting scientific notation with a negative exponent to a number	test 2	test 3

Engineering Notation

Probability and Statistics: Probability Curriculum

Understanding engineering notation	test 2	test 3
Converting a number to engineering notation	test 2	test 3
Converting a number less than 1 to engineering notation	test 2	test 3
Converting engineering notation to a number	test 2	test 3
Converting engineering notation with a negative exponent to a number	test 2	test 3

Probability

Understanding probability	test 2	test 3
Finding a probability	test 2	test 3

Combined Events

Understanding independent events	test 2	test 3
Understanding the multiplication rule	test 2	test 3
Understanding dependent events	test 2	test 3
Understanding mutually exclusive events	test 2	test 3
Understanding the addition rule	test 2	test 3
Understanding complementary events	test 2	test 3

Tree Diagrams

Probability and Statistics: Statistics Curriculum

Understanding tree diagrams	request a test
Drawing a tree diagram	request a test
Multiplication rule on a tree diagram	test 2	test 3
Addition rule on a tree diagram	test 2	test 3
Understanding dependent events on a tree diagram	test 2	test 3

Data

Understanding data	test 2	test 3
Understanding the types of data	test 2	test 3
Understanding quantitative data	test 2	test 3
Understanding discrete data	test 2	test 3
Understanding continous data	test 2	test 3
Understanding qualitative data	test 2	test 3

Averages

Understanding averages	test 2	test 3
Understanding the mean	test 2	test 3
Finding the mean	test 2	test 3
Understanding the median	test 2	test 3
Finding the median	test 2	test 3
Understanding the mode	test 2	test 3
Finding the mode	test 2	test 3

Measures of Spread

Understanding the range	test 2	test 3
Finding the range	test 2	test 3
Understanding the quartile	test 2	test 3
Understanding the lower quartile	test 2	test 3
Understanding the upper quartile	test 2	test 3
Finding the quartiles	test 2	test 3
Understanding the interquartile range	test 2	test 3
Finding the interquartile range	test 2	test 3

Frequency Tables

Understanding frequency tables	test 2	test 3
Making a frequency table	request a test
Finding the mean from a frequency table	test 2	test 3
Finding the median from a frequency table	test 2	test 3
Finding the mode from a frequency table	test 2	test 3
Finding the range from a frequency table	test 2	test 3

Cumulative Frequency Tables

Understanding cumulative frequency tables	test 2	test 3
Making a cumulative frequency table	request a test

Grouped Frequency Tables

Understanding grouped frequency tables	test 2	test 3
Making a grouped frequency table	request a test
Finding the mean from a grouped frequency table	test 2	test 3
Finding the median group from a grouped frequency table	test 2	test 3
Finding the mode group from a grouped frequency table	test 2	test 3

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

Understanding the sine function	test 2	test 3
Finding the angle using the sine function	test 2	test 3
Finding the opposite using the sine function	test 2	test 3
Finding the hypotenuse using the sine function	test 2	test 3

Cosine Function

Understanding the cosine function	test 2	test 3
Finding the angle using the cosine function	test 2	test 3
Finding the adjacent using the cosine function	test 2	test 3
Finding the hypotenuse using the cosine function	test 2	test 3

Tangent Function

Understanding the tangent function	test 2	test 3
Finding the angle using the tangent function	test 2	test 3
Finding the opposite using the adjacent function	test 2	test 3
Finding the adjacent using the tangent function	test 2	test 3

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.

Algebra

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

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.

Trigonometry