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.

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Mathematics Curriculum (by Lesson)

Algebra Curriculum
Algebra Definitions
Understanding equations	test
Understanding constants	test
Understanding variables	test
Understanding coefficients	test
Understanding exponents	test
Understanding operators	test
Understanding terms in algebra	test
Understanding expressions in algebra	test
Arithmetic with Letters
Adding letters	test
Subtracting letters	test
Multiplying letters	test
Dividing letters	test
Arithmetic with Terms
Adding terms	test
Subtracting terms	test
Multiplying terms	test
Dividing terms	test
Laws of Exponents in Algebra
Understanding the laws of exponents	test
Understanding an exponent of −1	test
Multiplying powers	test
Dividing powers	test
Finding a power of a power	test
Finding a power of a product	test
Finding a negative exponent	test
Like Terms
Understanding like terms	test
Identifying like terms	test
Adding like terms	test
Subtracting like terms	test
Collecting like terms	test
Expanding Brackets
Expanding brackets	test
Expanding brackets using the grid method	test
Expanding double brackets	test
Understanding the FOIL methods	test
Multiplying expressions in algebra	test
Expanding double brackets using the grid method	test
Solving Equations with Brackets
Solving an equation with brackets	test
Solving an equation with two sets of brackets	test
Factoring
Understanding factors in algebra	test
Finding factors in algebra	test
Understanding the greatest common factor in algebra	test
Finding the greatest common factor in algebra	test
Factoring an expression	test
Algebraic Fractions
Understanding algebraic fractions	test
Adding algebraic fractions	test
Subtracting algebraic fractions	test
Multiplying algebraic fractions	test
Dividing algebraic fractions	test
Simplifying algebraic fractions	test
Finding the reciprocal of an algebraic fraction	test
Equations: Linear Equations Curriculum
Equations and Linear Equations
Understanding equations	test
Understanding linear equations	test
Lines, Slopes and Y-Intercepts
Understanding linear equations in slope-intercept form	test
Understanding slope	test
Finding the slope of a line	test
Finding the slope from a linear equation	test
Understanding the y-intercept	test
Finding the y-intercept of a line	test
Finding the y-intercept from a linear equation	test
Finding the equation of a line	test
Slope-Point Form
Understanding linear equations in slope-point form	test
Finding the slope from a linear equation in slope-point form	test
Finding the y-intercept from a linear equation in slope-point form	test
General Form
Understanding linear equations in general form	test
Finding the slope from a linear equation in general form	test
Finding the y-intercept from a linear equation in general form	test
Converting a linear equation from general to slope-intercept form	test
Equation of a Line Between Two Points
Finding the equation of a line between two points	test
Equations: Quadratic Equations Curriculum
Quadratic Equations
Understanding quadratic equations	test
Solving Quadratic Equations
Solving quadratic equations	test
Solving quadratic equations using factoring	test
Solving quadratic equations using factoring (a ≠ 1)	test
Solving quadratic equations using the quadratic formula	test
Solving quadratic equations using a graph	test
Difference of Squares
Understanding a difference of squares	test
Solving quadratic equations using a difference of squares	test
Completing the Square
Understanding perfect square trinomials	test
Understanding completing the square	(request a test)
Completing the square	test
Equations: Simultaneous Equations Curriculum
Simultaneous Equations
Understanding simultaneous equations	(request a test)
Solving Simultaneous Equations
Solving simultaneous equations	test
Solving simultaneous equations using elimination	test
Solving simultaneous equations using elimination (where coefficients differ)	test
Solving simultaneous equations using substitution	test
Solving simultaneous equations using a graph	test
Equations: Functions Curriculum
Functions
Understanding functions	test
Evaluating functions	test
Plotting Functions
Finding y-intercept of a function	test
Finding x-intercepts of a function	test
Composite Functions
Understanding composite functions	test
Finding a composite function	test
Evaluating a composite function	test
Inverse Functions
Understanding inverse functions	test
Finding the inverse of a function	test
Finding the inverse of a function using a graph	test
Fractions and Percentages: Fractions Curriculum
Fractions
Understanding fractions	test
Understanding the numerator	test
Understanding the denominator	test
Types of Fractions
Understanding proper fractions	test
Understanding improper fractions	test
Understanding mixed fractions	test
Converting mixed to improper fractions	test
Converting improper to mixed fractions	test
Equivalent Fractions and Simplifying Fractions
Understanding equivalent fractions and simplest form	test
Simplifying fractions	test
Arithmetic with Fractions
Adding fractions	test
Subtracting fractions	test
Multiplying fractions	test
Dividing fractions	test
Finding the reciprocal of a fraction	test
Finding the power of a fraction	test
Using Fractions
Finding a fraction of a number	test
Expressing a number as a fraction of another number	test
Converting Fractions
Converting a fraction to a percentage	test
Converting a fraction to a decimal	test
Fractions and Percentages: Percentages Curriculum
Percentages
Understanding percentages	test
Finding a percentage of a number	test
Expressing a number as a percentage of another number	test
Percentage Changes
Understanding percentage changes	test
Finding a percentage change	test
Converting Percentages
Converting a percentage to a fraction	test
Converting a percentage to a decimal	test
Geometry: Shapes Curriculum
Plane Shapes
Understanding circles	test
Understanding ellipses	test
Understanding parallelograms	test
Understanding rectangles	test
Understanding squares	test
Understanding trapezoids	test
Understanding triangles	test
Areas
Finding the area of a circle	test
Finding the area of an ellipse	test
Finding the area of a parallelogram	test
Finding the area of a rectangle	test
Finding the area of a square	test
Finding the area of a trapezoid	test
Finding the area of a triangle	test
Volumes
Finding the volume of a cone	test
Finding the volume of a cube	test
Finding the volume of a cylinder	test
Finding the volume of a sphere	test
Circles
Understanding the radius	test
Understanding the diameter	test
Understanding the circumference	test
Understanding pi	test
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 diameter	test
Finding the radius from the circumference	test
Finding the radius from the area	test
Diameter of a Circle
Finding the diameter from the radius	test
Finding the diameter from the circumference	test
Finding the diameter from the area	test
Area of a Circle
Finding the area of a circle using diameter	test
Circle Theorems
Understanding the circle theorems	test
Tangent meets a radius at 90°	test
Two radii make an isosceles triangle	test
Perpendicular bisector of a chord	test
Angle at the center is twice the angle at the circumference	test
Angle in a semicircle is 90°	test
Angles in the same segment are equal	test
Angles in a cyclic quadrilateral	test
Tangents from the same point are the same length	test
Alternate segment theorem	test
Triangles
Understanding the types of triangles	test
Understanding equilateral triangles	test
Understanding isosceles triangles	test
Understanding scalene triangles	test
Understanding the interior angles of a triangle	test
Finding a missing angle in a triangle	test
Finding a missing angle in an isosceles triangle	test
Angles
Understanding angles	test
Understanding degrees	test
Understanding the types of angles	test
Understanding acute angles	test
Understanding right angles	test
Understanding obtuse angles	test
Understanding straight angles	test
Understanding reflex angles	test
Understanding full angles	test
Understanding radians	test
Angle Properties
Understanding complementary angles	test
Understanding supplementary angles	test
Understanding explementary angles	test
Polygons
Understanding polygons	test
Understanding the interior angles of a polygon	test
Finding the interior angle of a regular polygon	test
Finding the sum of the interior angles of a polygon	test
Understanding the exterior angles of a polygon	(request a test)
Finding the exterior angle of a regular polygon	test
Understanding the sum of an interior and exterior angle of a polygon is 180°	test
Geometry: Transformations Curriculum
Transformations
Understanding transformations	test
Translations
Understanding translations	test
Translating a shape	test
Describing a translation	test
Rotations
Understanding rotations	test
Understanding the radial coordinate	test
Understanding the common rotations	test
Rotating a shape	(request a test)
Describing a rotation	test
Reflections
Understanding reflections	test
Understanding the common reflections	test
Reflecting a shape	test
Describing a reflection	test
Enlargements
Understanding enlargements	test
Understanding the scale factor	test
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
Describing an enlargement with a negative scale factor	test
Graphs and Coordinate Geometry Curriculum
Graphs
Understanding the parts of a graph	test
Understanding the x-axis	test
Understanding the y-axis	test
Understanding the origin	test
Cartesian Coordinates
Understanding Cartesian coordinates	test
Understanding the x-coordinate	test
Understanding the y-coordinate	test
Drawing a point from Cartesian coordinates	test
Reading off a point from Cartesian coordinates	test
Polar Coordinates
Understanding polar coordinates	test
Understanding the radial coordinate	test
Understanding the angular coordinate	test
Drawing a point from Cartesian coordinates	test
Reading off a point from polar coordinates	test
Converting from Cartesian to polar coordinates	test
Converting from polar to Cartesian coordinates	test
Coordinate Geometry of Points and Lines
Finding the distance between points	test
Finding the slope between points	test
Finding the midpoint between points	test
Transformations in Coordinate Geometry
Translating shapes	test
Reflecting shapes in the x-axis	test
Reflecting shapes in the y-axis	test
Reflecting shapes in the line y = x	test
Reflecting shapes in the line y = −x	test
Equation of a Circle
Understanding the basic equation of a circle	test
Understanding the equation of a circle	test
Finding the center and radius from the equation of a circle	test
Understanding the equation of a circle in general form	test
Converting an equation of a circle from general to standard form	test
Numbers and Arithmetic: Numbers Curriculum
Types of Numbers
Understanding the types of numbers	test
Understanding natural numbers	test
Understanding whole numbers	test
Understanding integers	test
Positive and Negative Numbers
Understanding positive numbers	test
Understanding negative numbers	test
Arithmetic with negative numbers	test
Even and Odd Numbers
Understanding even numbers	test
Understanding odd numbers	test
Arithmetic with even and odd numbers	test
Prime Numbers
Understanding prime numbers	test
Understanding composite numbers	test
The fundamental theorem of arithmetic	test
Square Numbers and Square Roots
Understanding square numbers	test
Understanding square roots	test
The Number Line
Understanding the number line	test
Adding on the number line	test
Subtracting on the number line	test
Numbers and Arithmetic: Arithmetic Curriculum
Operations and Their Order
Understanding operations	test
Understanding inverse operations	test
Understanding the order of operations	test
Advanced Arithmetic
Understanding place value	test
Understanding long addition	test
Understanding long subtraction	test
Understanding long multiplication	test
Understanding long multiplication with decimals	test
Understanding long division	test
Understanding long division with a remainder	test
Understanding long division with decimals	test
Factors
Understanding factors	test
Finding factors	test
Understanding the greatest common factor	test
Finding the greatest common factor	test
Multiples
Understanding multiples	test
Understanding the least common multiple	test
Finding the least common multiple	test
Powers
Understanding powers	test
Understanding bases	test
Understanding exponents	test
Laws of Exponents
Understanding the laws of exponents	test
Multiplying powers	test
Dividing powers	test
Finding a power of a power	test
Finding a negative exponent	test
Reciprocals
Understanding reciprocals	test
Understanding an exponent of −1	test
Numbers and Arithmetic: Notation Curriculum
Scientific Notation
Understanding powers of 10	test
Understanding scientific notation	test
Converting a number to scientific notation	test
Converting a number less than 1 to scientific notation	test
Converting scientific notation to a number	test
Converting scientific notation with a negative exponent to a number	test
Engineering Notation
Understanding engineering notation	test
Converting a number to engineering notation	test
Converting a number less than 1 to engineering notation	test
Converting engineering notation to a number	test
Converting engineering notation with a negative exponent to a number	test
Probability and Statistics: Probability Curriculum
Probability
Understanding probability	test
Finding a probability	test
Combined Events
Understanding independent events	test
Understanding the multiplication rule	test
Understanding dependent events	test
Understanding mutually exclusive events	test
Understanding the addition rule	test
Understanding complementary events	test
Tree Diagrams
Understanding tree diagrams	(request a test)
Drawing a tree diagram	(request a test)
Multiplication rule on a tree diagram	test
Addition rule on a tree diagram	test
Understanding dependent events on a tree diagram	test
Probability and Statistics: Statistics Curriculum
Data
Understanding data	test
Understanding the types of data	test
Understanding quantitative data	test
Understanding discrete data	test
Understanding continous data	test
Understanding qualitative data	test
Averages
Understanding averages	test
Understanding the mean	test
Finding the mean	test
Understanding the median	test
Finding the median	test
Understanding the mode	test
Finding the mode	test
Measures of Spread
Understanding the range	test
Finding the range	test
Understanding the quartile	test
Understanding the lower quartile	test
Understanding the upper quartile	test
Finding the quartiles	test
Understanding the interquartile range	test
Finding the interquartile range	test
Frequency Tables
Understanding frequency tables	test
Making a frequency table	(request a test)
Finding the mean from a frequency table	test
Finding the median from a frequency table	test
Finding the mode from a frequency table	test
Finding the range from a frequency table	test
Cumulative Frequency Tables
Understanding cumulative frequency tables	test
Making a cumulative frequency table	(request a test)
Grouped Frequency Tables
Understanding grouped frequency tables	test
Making a grouped frequency table	(request a test)
Finding the mean from a grouped frequency table	test
Finding the median group from a grouped frequency table	test
Finding the mode group from a grouped frequency table	test
Cumulative Grouped Frequency Tables
Understanding cumulative grouped frequency tables	test
Making a cumulative grouped frequency table	(request a test)
Bar Charts
Understanding bar charts	test
Reading from a bar chart	test
Creating a bar chart	(request a test)
Bar charts and the types of data	test
Trigonometry Curriculum
Right Triangle
Understanding right triangle	test
Understanding the adjacent	test
Understanding the opposite	test
Understanding the hypotenuse	test
Pythagoras' Theorem
Understanding Pythagoras' theorem	test
Finding the hypotenuse using Pythagoras' theorem	test
Finding a shorter side using Pythagoras' theorem	test
Sine Function
Understanding the sine function	test
Finding the angle using the sine function	test
Finding the opposite using the sine function	test
Finding the hypotenuse using the sine function	test
Cosine Function
Understanding the cosine function	test
Finding the angle using the cosine function	test
Finding the adjacent using the cosine function	test
Finding the hypotenuse using the cosine function	test
Tangent Function
Understanding the tangent function	test
Finding the angle using the tangent function	test
Finding the opposite using the adjacent function	test
Finding the adjacent using the tangent function	test
Area of a Triangle Using Trigonometry
Finding the area of a triangle using trigonometry	test

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