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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 2test 3
Understanding constantstest 2test 3
Understanding variablestest 2test 3
Understanding coefficientstest 2test 3
Understanding exponentstest 2test 3
Understanding operatorstest 2test 3
Understanding terms in algebratest 2test 3
Understanding expressions in algebratest 2test 3

Arithmetic with Letters

Adding letterstest 2test 3
Subtracting letterstest 2test 3
Multiplying letterstest 2test 3
Dividing letterstest 2test 3

Arithmetic with Terms

Adding termstest 2test 3
Subtracting termstest 2test 3
Multiplying termstest 2test 3
Dividing termstest 2test 3

Laws of Exponents in Algebra

Understanding the laws of exponentstest 2test 3
Understanding an exponent of −1test 2test 3
Multiplying powerstest 2test 3
Dividing powerstest 2test 3
Finding a power of a powertest 2test 3
Finding a power of a producttest 2test 3
Finding a negative exponenttest 2test 3

Like Terms

Understanding like termstest 2test 3
Identifying like termstest 2test 3
Adding like termstest 2test 3
Subtracting like termstest 2test 3
Collecting like termstest 2test 3

Expanding Brackets

Expanding bracketstest 2test 3
Expanding brackets using the grid methodtest 2test 3
Expanding double bracketstest 2test 3
Understanding the FOIL methodstest 2test 3
Multiplying expressions in algebratest 2test 3
Expanding double brackets using the grid methodtest 2test 3

Solving Equations with Brackets

Solving an equation with bracketstest 2test 3
Solving an equation with two sets of bracketstest 2test 3

Factoring

Understanding factors in algebratest 2test 3
Finding factors in algebratest 2test 3
Understanding the greatest common factor in algebratest 2test 3
Finding the greatest common factor in algebratest 2test 3
Factoring an expressiontest 2test 3

Algebraic Fractions

Equations: Linear Equations Curriculum

Understanding algebraic fractionstest 2test 3
Adding algebraic fractionstest 2test 3
Subtracting algebraic fractionstest 2test 3
Multiplying algebraic fractionstest 2test 3
Dividing algebraic fractionstest 2test 3
Simplifying algebraic fractionstest 2test 3
Finding the reciprocal of an algebraic fractiontest 2test 3

Equations and Linear Equations

Understanding equationstest 2test 3
Understanding linear equationstest 2test 3

Lines, Slopes and Y-Intercepts

Understanding linear equations in slope-intercept formtest 2test 3
Understanding slopetest 2test 3
Finding the slope of a linetest 2test 3
Finding the slope from a linear equationtest 2test 3
Understanding the y-intercepttest 2test 3
Finding the y-intercept of a linetest 2test 3
Finding the y-intercept from a linear equationtest 2test 3
Finding the equation of a linetest 2test 3

Slope-Point Form

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

General Form

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

Equation of a Line Between Two Points

Equations: Quadratic Equations Curriculum

Finding the equation of a line between two pointstest 2test 3

Quadratic Equations

Understanding quadratic equationstest 2test 3

Solving Quadratic Equations

Solving quadratic equationstest 2test 3
Solving quadratic equations using factoringtest 2test 3
Solving quadratic equations using factoring (a ≠ 1)test 2test 3
Solving quadratic equations using the quadratic formulatest 2test 3
Solving quadratic equations using a graphtest 2test 3

Difference of Squares

Understanding a difference of squarestest 2test 3
Solving quadratic equations using a difference of squarestest 2test 3

Completing the Square

Equations: Simultaneous Equations Curriculum

Understanding perfect square trinomialstest 2test 3
Understanding completing the squarerequest a test 
Completing the squaretest 2test 3

Simultaneous Equations

Understanding simultaneous equationsrequest a test 

Solving Simultaneous Equations

Equations: Functions Curriculum

Solving simultaneous equationstest 2test 3
Solving simultaneous equations using eliminationtest 2test 3
Solving simultaneous equations using elimination (where coefficients differ)test 2test 3
Solving simultaneous equations using substitutiontest 2test 3
Solving simultaneous equations using a graphtest 2test 3

Functions

Understanding functionstest 2test 3
Evaluating functionstest 2test 3

Plotting Functions

Finding y-intercept of a functiontest 2test 3
Finding x-intercepts of a functiontest 2test 3

Composite Functions

Understanding composite functionstest 2test 3
Finding a composite functiontest 2test 3
Evaluating a composite functiontest 2test 3

Inverse Functions

Fractions and Percentages: Fractions Curriculum

Understanding inverse functionstest 2test 3
Finding the inverse of a functiontest 2test 3
Finding the inverse of a function using a graphtest 2test 3

Fractions

Understanding fractionstest 2test 3
Understanding the numeratortest 2test 3
Understanding the denominatortest 2test 3

Types of Fractions

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

Equivalent Fractions and Simplifying Fractions

Understanding equivalent fractions and simplest formtest 2test 3
Simplifying fractionstest 2test 3

Arithmetic with Fractions

Adding fractionstest 2test 3
Subtracting fractionstest 2test 3
Multiplying fractionstest 2test 3
Dividing fractionstest 2test 3
Finding the reciprocal of a fractiontest 2test 3
Finding the power of a fractiontest 2test 3

Using Fractions

Finding a fraction of a numbertest 2test 3
Expressing a number as a fraction of another numbertest 2test 3

Converting Fractions

Fractions and Percentages: Percentages Curriculum

Converting a fraction to a percentagetest 2test 3
Converting a fraction to a decimaltest 2test 3

Percentages

Understanding percentagestest 2test 3
Finding a percentage of a numbertest 2test 3
Expressing a number as a percentage of another numbertest 2test 3

Percentage Changes

Understanding percentage changestest 2test 3
Finding a percentage changetest 2test 3

Converting Percentages

Geometry: Shapes Curriculum

Converting a percentage to a fractiontest 2test 3
Converting a percentage to a decimaltest 2test 3

Plane Shapes

Understanding circlestest 2test 3
Understanding ellipsestest 2test 3
Understanding parallelogramstest 2test 3
Understanding rectanglestest 2test 3
Understanding squarestest 2test 3
Understanding trapezoidstest 2test 3
Understanding trianglestest 2test 3

Areas

Finding the area of a circletest 2test 3
Finding the area of an ellipsetest 2test 3
Finding the area of a parallelogramtest 2test 3
Finding the area of a rectangletest 2test 3
Finding the area of a squaretest 2test 3
Finding the area of a trapezoidtest 2test 3
Finding the area of a triangletest 2test 3

Volumes

Finding the volume of a conetest 2test 3
Finding the volume of a cubetest 2test 3
Finding the volume of a cylindertest 2test 3
Finding the volume of a spheretest 2test 3

Circles

Understanding the radiustest 2test 3
Understanding the diametertest 2test 3
Understanding the circumferencetest 2test 3
Understanding pitest 2test 3
Finding the length of an arc (degrees)test 2test 3
Finding the length of an arc (radians)test 2test 3
Finding the area of a sector (degrees)test 2test 3
Finding the area of a sector (radians)test 2test 3

Radius of a Circle

Finding the radius from the diametertest 2test 3
Finding the radius from the circumferencetest 2test 3
Finding the radius from the areatest 2test 3

Diameter of a Circle

Finding the diameter from the radiustest 2test 3
Finding the diameter from the circumferencetest 2test 3
Finding the diameter from the areatest 2test 3

Area of a Circle

Finding the area of a circle using diametertest 2test 3

Circle Theorems

Understanding the circle theorems:.html" class="cursq4">test 2test 2test 3
Tangent meets a radius at 90°test 2test 3
Two radii make an isosceles triangletest 2test 3
Perpendicular bisector of a chordtest 2test 3
Angle at the center is twice the angle at the circumferencetest 2test 3
Angle in a semicircle is 90°test 2test 3
Angles in the same segment are equaltest 2test 3
Angles in a cyclic quadrilateraltest 2test 3
Tangents from the same point are the same lengthtest 2test 3
Alternate segment theoremtest 2test 3

Triangles

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

Angles

Understanding anglestest 2test 3
Understanding degreestest 2test 3
Understanding the types of anglestest 2test 3
Understanding acute anglestest 2test 3
Understanding right anglestest 2test 3
Understanding obtuse anglestest 2test 3
Understanding straight anglestest 2test 3
Understanding reflex anglestest 2test 3
Understanding full anglestest 2test 3
Understanding radianstest 2test 3

Angle Properties

Understanding complementary anglestest 2test 3
Understanding supplementary anglestest 2test 3
Understanding explementary anglestest 2test 3

Polygons

Geometry: Transformations Curriculum

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

Transformations

Understanding transformationstest 2test 3

Translations

Understanding translationstest 2test 3
Translating a shapetest 2test 3
Describing a translationtest 2test 3

Rotations

Understanding rotationstest 2test 3
Understanding the radial coordinatetest 2test 3
Understanding the common rotationstest 2test 3
Rotating a shaperequest a test 
Describing a rotationtest 2test 3

Reflections

Understanding reflectionstest 2test 3
Understanding the common reflectionstest 2test 3
Reflecting a shapetest 2test 3
Describing a reflectiontest 2test 3

Enlargements

Graphs and Coordinate Geometry Curriculum

Understanding enlargementstest 2test 3
Understanding the scale factortest 2test 3
Enlarging a shaperequest a test 
Enlarging a shape with a fractional scale factorrequest a test 
Enlarging a shape with a negative scale factorrequest a test 
Describing an enlargementtest 2test 3
Describing an enlargement with a negative scale factortest 2test 3

Graphs

Understanding the parts of a graphtest 2test 3
Understanding the x-axistest 2test 3
Understanding the y-axistest 2test 3
Understanding the origintest 2test 3

Cartesian Coordinates

Understanding Cartesian coordinatestest 2test 3
Understanding the x-coordinatetest 2test 3
Understanding the y-coordinatetest 2test 3
Drawing a point from Cartesian coordinatestest 2test 3
Reading off a point from Cartesian coordinatestest 2test 3

Polar Coordinates

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

Coordinate Geometry of Points and Lines

Finding the distance between pointstest 2test 3
Finding the slope between pointstest 2test 3
Finding the midpoint between pointstest 2test 3

Transformations in Coordinate Geometry

Translating shapestest 2test 3
Reflecting shapes in the x-axistest 2test 3
Reflecting shapes in the y-axistest 2test 3
Reflecting shapes in the line y = xtest 2test 3
Reflecting shapes in the line y = −xtest 2test 3

Equation of a Circle

Numbers and Arithmetic: Numbers Curriculum

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

Types of Numbers

Understanding the types of numberstest 2test 3
Understanding natural numberstest 2test 3
Understanding whole numberstest 2test 3
Understanding integerstest 2test 3

Positive and Negative Numbers

Understanding positive numberstest 2test 3
Understanding negative numberstest 2test 3
Arithmetic with negative numberstest 2test 3

Even and Odd Numbers

Understanding even numberstest 2test 3
Understanding odd numberstest 2test 3
Arithmetic with even and odd numberstest 2test 3

Prime Numbers

Understanding prime numberstest 2test 3
Understanding composite numberstest 2test 3
The fundamental theorem of arithmetictest 2test 3

Square Numbers and Square Roots

Understanding square numberstest 2test 3
Understanding square rootstest 2test 3

The Number Line

Numbers and Arithmetic: Arithmetic Curriculum

Understanding the number linetest 2test 3
Adding on the number linetest 2test 3
Subtracting on the number linetest 2test 3

Operations and Their Order

Understanding operationstest 2test 3
Understanding inverse operationstest 2test 3
Understanding the order of operationstest 2test 3

Advanced Arithmetic

Understanding place valuetest 2test 3
Understanding long additiontest 2test 3
Understanding long subtractiontest 2test 3
Understanding long multiplicationtest 2test 3
Understanding long multiplication with decimalstest 2test 3
Understanding long divisiontest 2test 3
Understanding long division with a remaindertest 2test 3
Understanding long division with decimalstest 2test 3

Factors

Understanding factorstest 2test 3
Finding factorstest 2test 3
Understanding the greatest common factortest 2test 3
Finding the greatest common factortest 2test 3

Multiples

Understanding multiplestest 2test 3
Understanding the least common multipletest 2test 3
Finding the least common multipletest 2test 3

Powers

Understanding powerstest 2test 3
Understanding basestest 2test 3
Understanding exponentstest 2test 3

Laws of Exponents

Understanding the laws of exponentstest 2test 3
Multiplying powerstest 2test 3
Dividing powerstest 2test 3
Finding a power of a powertest 2test 3
Finding a negative exponenttest 2test 3

Reciprocals

Numbers and Arithmetic: Notation Curriculum

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

Scientific Notation

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

Engineering Notation

Probability and Statistics: Probability Curriculum

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

Probability

Understanding probabilitytest 2test 3
Finding a probabilitytest 2test 3

Combined Events

Understanding independent eventstest 2test 3
Understanding the multiplication ruletest 2test 3
Understanding dependent eventstest 2test 3
Understanding mutually exclusive eventstest 2test 3
Understanding the addition ruletest 2test 3
Understanding complementary eventstest 2test 3

Tree Diagrams

Probability and Statistics: Statistics Curriculum

Understanding tree diagramsrequest a test 
Drawing a tree diagramrequest a test 
Multiplication rule on a tree diagramtest 2test 3
Addition rule on a tree diagramtest 2test 3
Understanding dependent events on a tree diagramtest 2test 3

Data

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

Averages

Understanding averagestest 2test 3
Understanding the meantest 2test 3
Finding the meantest 2test 3
Understanding the mediantest 2test 3
Finding the mediantest 2test 3
Understanding the modetest 2test 3
Finding the modetest 2test 3

Measures of Spread

Understanding the rangetest 2test 3
Finding the rangetest 2test 3
Understanding the quartiletest 2test 3
Understanding the lower quartiletest 2test 3
Understanding the upper quartiletest 2test 3
Finding the quartilestest 2test 3
Understanding the interquartile rangetest 2test 3
Finding the interquartile rangetest 2test 3

Frequency Tables

Understanding frequency tablestest 2test 3
Making a frequency tablerequest a test 
Finding the mean from a frequency tabletest 2test 3
Finding the median from a frequency tabletest 2test 3
Finding the mode from a frequency tabletest 2test 3
Finding the range from a frequency tabletest 2test 3

Cumulative Frequency Tables

Understanding cumulative frequency tablestest 2test 3
Making a cumulative frequency tablerequest a test 

Grouped Frequency Tables

Understanding grouped frequency tablestest 2test 3
Making a grouped frequency tablerequest a test 
Finding the mean from a grouped frequency tabletest 2test 3
Finding the median group from a grouped frequency tabletest 2test 3
Finding the mode group from a grouped frequency tabletest 2test 3

Cumulative Grouped Frequency Tables

Understanding cumulative grouped frequency tablestest 2test 3
Making a cumulative grouped frequency tablerequest a test 

Bar Charts

Trigonometry Curriculum

Understanding bar chartstest 2test 3
Reading from a bar charttest 2test 3
Creating a bar chartrequest a test 
Bar charts and the types of datatest 2test 3

Right Triangle

Understanding right triangletest 2test 3
Understanding the adjacenttest 2test 3
Understanding the oppositetest 2test 3
Understanding the hypotenusetest 2test 3

Pythagoras' Theorem

Understanding Pythagoras' theoremtest 2test 3
Finding the hypotenuse using Pythagoras' theoremtest 2test 3
Finding a shorter side using Pythagoras' theoremtest 2test 3

Sine Function

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

Cosine Function

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

Tangent Function

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

Area of a Triangle Using Trigonometry

Finding the area of a triangle using trigonometrytest 2test 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.