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Mathematics Monster

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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 equationstest
Understanding constantstest
Understanding variablestest
Understanding coefficientstest
Understanding exponentstest
Understanding operatorstest
Understanding terms in algebratest
Understanding expressions in algebratest
Arithmetic with Letters
Adding letterstest
Subtracting letterstest
Multiplying letterstest
Dividing letterstest
Arithmetic with Terms
Adding termstest
Subtracting termstest
Multiplying termstest
Dividing termstest
Laws of Exponents in Algebra
Understanding the laws of exponentstest
Understanding an exponent of −1test
Multiplying powerstest
Dividing powerstest
Finding a power of a powertest
Finding a power of a producttest
Finding a negative exponenttest
Like Terms
Understanding like termstest
Identifying like termstest
Adding like termstest
Subtracting like termstest
Collecting like termstest
Expanding Brackets
Expanding bracketstest
Expanding brackets using the grid methodtest
Expanding double bracketstest
Understanding the FOIL methodstest
Multiplying expressions in algebratest
Expanding double brackets using the grid methodtest
Solving Equations with Brackets
Solving an equation with bracketstest
Solving an equation with two sets of bracketstest
Factoring
Understanding factors in algebratest
Finding factors in algebratest
Understanding the greatest common factor in algebratest
Finding the greatest common factor in algebratest
Factoring an expressiontest
Algebraic Fractions
Understanding algebraic fractionstest
Adding algebraic fractionstest
Subtracting algebraic fractionstest
Multiplying algebraic fractionstest
Dividing algebraic fractionstest
Simplifying algebraic fractionstest
Finding the reciprocal of an algebraic fractiontest
Equations: Linear Equations Curriculum
Equations and Linear Equations
Understanding equationstest
Understanding linear equationstest
Lines, Slopes and Y-Intercepts
Understanding linear equations in slope-intercept formtest
Understanding slopetest
Finding the slope of a linetest
Finding the slope from a linear equationtest
Understanding the y-intercepttest
Finding the y-intercept of a linetest
Finding the y-intercept from a linear equationtest
Finding the equation of a linetest
Slope-Point Form
Understanding linear equations in slope-point formtest
Finding the slope from a linear equation in slope-point formtest
Finding the y-intercept from a linear equation in slope-point formtest
General Form
Understanding linear equations in general formtest
Finding the slope from a linear equation in general formtest
Finding the y-intercept from a linear equation in general formtest
Converting a linear equation from general to slope-intercept formtest
Equation of a Line Between Two Points
Finding the equation of a line between two pointstest
Equations: Quadratic Equations Curriculum
Quadratic Equations
Understanding quadratic equationstest
Solving Quadratic Equations
Solving quadratic equationstest
Solving quadratic equations using factoringtest
Solving quadratic equations using factoring (a ≠ 1)test
Solving quadratic equations using the quadratic formulatest
Solving quadratic equations using a graphtest
Difference of Squares
Understanding a difference of squarestest
Solving quadratic equations using a difference of squarestest
Completing the Square
Understanding perfect square trinomialstest
Understanding completing the square (request a test)
Completing the squaretest
Equations: Simultaneous Equations Curriculum
Simultaneous Equations
Understanding simultaneous equations (request a test)
Solving Simultaneous Equations
Solving simultaneous equationstest
Solving simultaneous equations using eliminationtest
Solving simultaneous equations using elimination (where coefficients differ)test
Solving simultaneous equations using substitutiontest
Solving simultaneous equations using a graphtest
Equations: Functions Curriculum
Functions
Understanding functionstest
Evaluating functionstest
Plotting Functions
Finding y-intercept of a functiontest
Finding x-intercepts of a functiontest
Composite Functions
Understanding composite functionstest
Finding a composite functiontest
Evaluating a composite functiontest
Inverse Functions
Understanding inverse functionstest
Finding the inverse of a functiontest
Finding the inverse of a function using a graphtest
Fractions and Percentages: Fractions Curriculum
Fractions
Understanding fractionstest
Understanding the numeratortest
Understanding the denominatortest
Types of Fractions
Understanding proper fractionstest
Understanding improper fractionstest
Understanding mixed fractionstest
Converting mixed to improper fractionstest
Converting improper to mixed fractionstest
Equivalent Fractions and Simplifying Fractions
Understanding equivalent fractions and simplest formtest
Simplifying fractionstest
Arithmetic with Fractions
Adding fractionstest
Subtracting fractionstest
Multiplying fractionstest
Dividing fractionstest
Finding the reciprocal of a fractiontest
Finding the power of a fractiontest
Using Fractions
Finding a fraction of a numbertest
Expressing a number as a fraction of another numbertest
Converting Fractions
Converting a fraction to a percentagetest
Converting a fraction to a decimaltest
Fractions and Percentages: Percentages Curriculum
Percentages
Understanding percentagestest
Finding a percentage of a numbertest
Expressing a number as a percentage of another numbertest
Percentage Changes
Understanding percentage changestest
Finding a percentage changetest
Converting Percentages
Converting a percentage to a fractiontest
Converting a percentage to a decimaltest
Geometry: Shapes Curriculum
Plane Shapes
Understanding circlestest
Understanding ellipsestest
Understanding parallelogramstest
Understanding rectanglestest
Understanding squarestest
Understanding trapezoidstest
Understanding trianglestest
Areas
Finding the area of a circletest
Finding the area of an ellipsetest
Finding the area of a parallelogramtest
Finding the area of a rectangletest
Finding the area of a squaretest
Finding the area of a trapezoidtest
Finding the area of a triangletest
Volumes
Finding the volume of a conetest
Finding the volume of a cubetest
Finding the volume of a cylindertest
Finding the volume of a spheretest
Circles
Understanding the radiustest
Understanding the diametertest
Understanding the circumferencetest
Understanding pitest
Finding the length of an arc (degrees)test
Finding the length of an arc (radians)test
Finding the area of a sector (degrees)test
Finding the area of a sector (radians)test
Radius of a Circle
Finding the radius from the diametertest
Finding the radius from the circumferencetest
Finding the radius from the areatest
Diameter of a Circle
Finding the diameter from the radiustest
Finding the diameter from the circumferencetest
Finding the diameter from the areatest
Area of a Circle
Finding the area of a circle using diametertest
Circle Theorems
Understanding the circle theoremstest
Tangent meets a radius at 90°test
Two radii make an isosceles triangletest
Perpendicular bisector of a chordtest
Angle at the center is twice the angle at the circumferencetest
Angle in a semicircle is 90°test
Angles in the same segment are equaltest
Angles in a cyclic quadrilateraltest
Tangents from the same point are the same lengthtest
Alternate segment theoremtest
Triangles
Understanding the types of trianglestest
Understanding equilateral trianglestest
Understanding isosceles trianglestest
Understanding scalene trianglestest
Understanding the interior angles of a triangletest
Finding a missing angle in a triangletest
Finding a missing angle in an isosceles triangletest
Angles
Understanding anglestest
Understanding degreestest
Understanding the types of anglestest
Understanding acute anglestest
Understanding right anglestest
Understanding obtuse anglestest
Understanding straight anglestest
Understanding reflex anglestest
Understanding full anglestest
Understanding radianstest
Angle Properties
Understanding complementary anglestest
Understanding supplementary anglestest
Understanding explementary anglestest
Polygons
Understanding polygonstest
Understanding the interior angles of a polygontest
Finding the interior angle of a regular polygontest
Finding the sum of the interior angles of a polygontest
Understanding the exterior angles of a polygon (request a test)
Finding the exterior angle of a regular polygontest
Understanding the sum of an interior and exterior angle of a polygon is 180°test
Geometry: Transformations Curriculum
Transformations
Understanding transformationstest
Translations
Understanding translationstest
Translating a shapetest
Describing a translationtest
Rotations
Understanding rotationstest
Understanding the radial coordinatetest
Understanding the common rotationstest
Rotating a shape (request a test)
Describing a rotationtest
Reflections
Understanding reflectionstest
Understanding the common reflectionstest
Reflecting a shapetest
Describing a reflectiontest
Enlargements
Understanding enlargementstest
Understanding the scale factortest
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 enlargementtest
Describing an enlargement with a negative scale factortest
Graphs and Coordinate Geometry Curriculum
Graphs
Understanding the parts of a graphtest
Understanding the x-axistest
Understanding the y-axistest
Understanding the origintest
Cartesian Coordinates
Understanding Cartesian coordinatestest
Understanding the x-coordinatetest
Understanding the y-coordinatetest
Drawing a point from Cartesian coordinatestest
Reading off a point from Cartesian coordinatestest
Polar Coordinates
Understanding polar coordinatestest
Understanding the radial coordinatetest
Understanding the angular coordinatetest
Drawing a point from Cartesian coordinatestest
Reading off a point from polar coordinatestest
Converting from Cartesian to polar coordinatestest
Converting from polar to Cartesian coordinatestest
Coordinate Geometry of Points and Lines
Finding the distance between pointstest
Finding the slope between pointstest
Finding the midpoint between pointstest
Transformations in Coordinate Geometry
Translating shapestest
Reflecting shapes in the x-axistest
Reflecting shapes in the y-axistest
Reflecting shapes in the line y = xtest
Reflecting shapes in the line y = −xtest
Equation of a Circle
Understanding the basic equation of a circletest
Understanding the equation of a circletest
Finding the center and radius from the equation of a circletest
Understanding the equation of a circle in general formtest
Converting an equation of a circle from general to standard formtest
Numbers and Arithmetic: Numbers Curriculum
Types of Numbers
Understanding the types of numberstest
Understanding natural numberstest
Understanding whole numberstest
Understanding integerstest
Positive and Negative Numbers
Understanding positive numberstest
Understanding negative numberstest
Arithmetic with negative numberstest
Even and Odd Numbers
Understanding even numberstest
Understanding odd numberstest
Arithmetic with even and odd numberstest
Prime Numbers
Understanding prime numberstest
Understanding composite numberstest
The fundamental theorem of arithmetictest
Square Numbers and Square Roots
Understanding square numberstest
Understanding square rootstest
The Number Line
Understanding the number linetest
Adding on the number linetest
Subtracting on the number linetest
Numbers and Arithmetic: Arithmetic Curriculum
Operations and Their Order
Understanding operationstest
Understanding inverse operationstest
Understanding the order of operationstest
Advanced Arithmetic
Understanding place valuetest
Understanding long additiontest
Understanding long subtractiontest
Understanding long multiplicationtest
Understanding long multiplication with decimalstest
Understanding long divisiontest
Understanding long division with a remaindertest
Understanding long division with decimalstest
Factors
Understanding factorstest
Finding factorstest
Understanding the greatest common factortest
Finding the greatest common factortest
Multiples
Understanding multiplestest
Understanding the least common multipletest
Finding the least common multipletest
Powers
Understanding powerstest
Understanding basestest
Understanding exponentstest
Laws of Exponents
Understanding the laws of exponentstest
Multiplying powerstest
Dividing powerstest
Finding a power of a powertest
Finding a negative exponenttest
Reciprocals
Understanding reciprocalstest
Understanding an exponent of −1test
Numbers and Arithmetic: Notation Curriculum
Scientific Notation
Understanding powers of 10test
Understanding scientific notationtest
Converting a number to scientific notationtest
Converting a number less than 1 to scientific notationtest
Converting scientific notation to a numbertest
Converting scientific notation with a negative exponent to a numbertest
Engineering Notation
Understanding engineering notationtest
Converting a number to engineering notationtest
Converting a number less than 1 to engineering notationtest
Converting engineering notation to a numbertest
Converting engineering notation with a negative exponent to a numbertest
Probability and Statistics: Probability Curriculum
Probability
Understanding probabilitytest
Finding a probabilitytest
Combined Events
Understanding independent eventstest
Understanding the multiplication ruletest
Understanding dependent eventstest
Understanding mutually exclusive eventstest
Understanding the addition ruletest
Understanding complementary eventstest
Tree Diagrams
Understanding tree diagrams (request a test)
Drawing a tree diagram (request a test)
Multiplication rule on a tree diagramtest
Addition rule on a tree diagramtest
Understanding dependent events on a tree diagramtest
Probability and Statistics: Statistics Curriculum
Data
Understanding datatest
Understanding the types of datatest
Understanding quantitative datatest
Understanding discrete datatest
Understanding continous datatest
Understanding qualitative datatest
Averages
Understanding averagestest
Understanding the meantest
Finding the meantest
Understanding the mediantest
Finding the mediantest
Understanding the modetest
Finding the modetest
Measures of Spread
Understanding the rangetest
Finding the rangetest
Understanding the quartiletest
Understanding the lower quartiletest
Understanding the upper quartiletest
Finding the quartilestest
Understanding the interquartile rangetest
Finding the interquartile rangetest
Frequency Tables
Understanding frequency tablestest
Making a frequency table (request a test)
Finding the mean from a frequency tabletest
Finding the median from a frequency tabletest
Finding the mode from a frequency tabletest
Finding the range from a frequency tabletest
Cumulative Frequency Tables
Understanding cumulative frequency tablestest
Making a cumulative frequency table (request a test)
Grouped Frequency Tables
Understanding grouped frequency tablestest
Making a grouped frequency table (request a test)
Finding the mean from a grouped frequency tabletest
Finding the median group from a grouped frequency tabletest
Finding the mode group from a grouped frequency tabletest
Cumulative Grouped Frequency Tables
Understanding cumulative grouped frequency tablestest
Making a cumulative grouped frequency table (request a test)
Bar Charts
Understanding bar chartstest
Reading from a bar charttest
Creating a bar chart (request a test)
Bar charts and the types of datatest
Trigonometry Curriculum
Right Triangle
Understanding right triangletest
Understanding the adjacenttest
Understanding the oppositetest
Understanding the hypotenusetest
Pythagoras' Theorem
Understanding Pythagoras' theoremtest
Finding the hypotenuse using Pythagoras' theoremtest
Finding a shorter side using Pythagoras' theoremtest
Sine Function
Understanding the sine functiontest
Finding the angle using the sine functiontest
Finding the opposite using the sine functiontest
Finding the hypotenuse using the sine functiontest
Cosine Function
Understanding the cosine functiontest
Finding the angle using the cosine functiontest
Finding the adjacent using the cosine functiontest
Finding the hypotenuse using the cosine functiontest
Tangent Function
Understanding the tangent functiontest
Finding the angle using the tangent functiontest
Finding the opposite using the adjacent functiontest
Finding the adjacent using the tangent functiontest
Area of a Triangle Using Trigonometry
Finding the area of a triangle using trigonometrytest

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.