# Mathematical Terms and Definitions

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X
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Z

(famous mathematician)

Descartes, Rene

(famous mathematician)

(famous mathematician)

(famous mathematician)

Al-Khwarizmi

(famous mathematician)

Isaac_Newton

(famous mathematician)

(famous mathematician)

A

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- absolute value
- adding fractions
- addition basics
- addition (long addition)
- addition (long addition step by step) ( interactive widget)
- adding percentages
- algebra (definitions)
- algebra (expressions)
- algebra (terms)
- algebra (like terms)
- algebra (how to add letters)
- algebra (how to subtract letters)
- algebra (how to multiply letters)
- algebra (how to divide letters)
- algebra (how to add terms)
- algebra (how to subtract terms)
- algebra (how to multiply terms)
- algebra (how to divide terms)
- algebra (how to expand brackets)
- algebra (expanding brackets using the grid method)
- algebra (factors)
- algebra (greatest common factor)
- algebra (factoring an expressions)
- algebra (how to collect like terms)
- algebra (how to add like terms)
- algebra (how to subtract like terms)
- algebra (algebraic fractions)
- algebra (adding algebraic fractions)
- algebra (subtracting algebraic fractions)
- algebra (multiplying algebraic fractions)
- algebra (dividing algebraic fractions)
- algebra (multiplying expressions)
- algebra (operators)
- algebra (operations)
- algebra (operands)
- angles (types of) ( interactive widget)
- angles (complementary angle)
- angles (degrees)
- angles (explementary angles)
- angles (right angle)
- angles (radians)
- angles (reflex angle)
- angles (straight angle)
- angles (full angle)
- angles (supplementary angle)
- angles (radians)
- angles (interior angles of a polygon)
- angles (finding the sum of the interior angles of a polygon)
- angles (finding the interior angle of a regular polygon)
- angles (exterior angles of a polygon)
- angles (finding the exterior angle of a regular polygon)
- angles (sum of interior and exterior angle equals 180 degrees)

(famous mathematician)

- area (of a circle) ( interactive widget)
- area (of a sector of a cirle)
- area (of a sector of a circle in radians)
- area (of an ellipse) ( interactive widget)
- area (of a parallelogram) ( interactive widget)
- area (of a trapezoid) ( interactive widget)
- area (of a triangle) ( interactive widget)
- area (of a triangle using trigonometry)
- area (of a rectangle) ( interactive widget)
- area (of a square) ( interactive widget)
- arithmetic
- arithmetic (fundamental theorem of)
- arithmetic mean
- arithmetic with negative numbers
- average (explained)
- average (mean)
- average (mode)
- average (median)
- average (making a frequency table)
- averages (calculator) ( interactive widget)

B

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C

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- Cartesian co-ordinates
- Cartesian co-oordinates (converting Cartesian to polar co-ordinates)
- Cartesian co-ordinates (coverting to Cartesian from polar)
- Cartesian co-ordinates (polar and Cartesian co-ordinates) ( interactive widget)
- circles
- circles (finding the area of)
- circles (circumference of a circle)
- circles (circle theorems)
- circles (circle theorem: tangent radius 90 degrees)
- circles (circle theorem: two radii make an isosceles triangle)
- circles (circle theorem: perpendicular bisector of a chord passes through center)
- circles(circle theorem: angle at center twice at circumference)
- circles (circle theorem: angle in semicircle 90 degrees)
- circles (circle theorem: angles in same segment are equal)
- circles (circle theorem: opposite angles in a cyclic quadrilateral add up to 180 degrees)
- circles (circle theorem: tangents from same point equal)
- circles (circle theorem: angle in alternate segment is equal)
- cirlces (area of a sector of a cirle)
- cirlces (area of a sector of a circle in radians)
- circles (length of an arc)
- circles (length of an arc in radians)
- circles (basic equations of a cirlce)
- circles (equation of a circle)
- composite numbers
- coefficients
- cone (finding the volume of) ( interactive widget)
- constants
- converting percentages to decimals
- converting percentages to fractions
- converting fractions to a decimal or a percentage
- converting mixed fractions to improper fractions
- converting improper fractions to mixed fractions
- co-ordinates (explained)
- co-ordinates (Cartesian)
- co-ordinates (polar)
- co-ordinates (polar and Cartesian) ( interactive widget)
- cube (finding the volume of) ( interactive widget)
- cylinder (finding the volume of) ( interactive widget)

D

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(famous mathematician)

- diameter (how to find the diameter from the radius)
- diameter (how to find the diameter from the circumference)
- diameter (how to find the diameter from the area)
- distance formula
- dividing fractions
- division basics
- division (long division)
- division (long division with decimals)
- division (long division step by step) ( interactive widget)

E

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- ellipse (finding the area of)
- equivalent fractions
- exponents
- exponents (laws of)
- exponents (how to find negative exponents)
- exponents (how to multiply exponents)
- exponents (how to divide exponents)
- exponents (how to raise one exponent to another)
- exponents (where base is a fraction)
- equations (What are equations?)
- equations linear (create a graph) ( interactive widget)
- equations (linear) (explained)
- equations (linear, general form)
- equations (linear, slope point form)
- equations (quadratic) (explained)
- equation (quadratic) (create a graph) ( interactive widget)
- equations (simultaneous) (definition)
- equations (simultaneous) (methods for solving)
- equations (simultaneous) (using elimination)
- equations (simultaneous) (using substitution)
- equations (simultaneous) (using graphical methods)

(famous mathematician)

F

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- factor
- factor (greatest common)
- famous mathematicians (Euclid)
- famous mathematicians (Pythagoras)
- famous mathematicians (Rene Descartes)
- famous mathematicians (Archimedes)

(famous mathematician)

- FOIL method
- fractions (overview)
- fractions (adding fractions)
- fractions (equivalent fractions)
- fractions (subtracting fractions)
- fractions (multiplying fractions)
- fractions (dividing fractions)
- fractions (simplifying fractions)
- fractions (converting fractions to a decimal)
- fractions (converting fractions to a percentage)
- fractions (converting fractions to a decimal or a percentage)
- fractions (converting mixed fractions to improper fractions)
- fractions (converting improper fractions to mixed fractions)
- fractions (denominator)
- fractions (expressing one number as a fraction of another)
- fractions (finding the fraction of a number)
- fractions (how to find the reciprocal of a fraction)
- fractions (proper)
- fractions (improper)
- fractions (mixed)
- fractions (numerator)
- frequency table (calculating averages)
- frequency table (finding the median)
- frequency table (finding the mode)
- function (What is a function?)
- function (how to evaluate a function)
- function (inverse function)
- function (find the inverse of a function using algebra)
- function (find the inverse of a function using a number machine)
- function (find the inverse of a function using a graph)

G

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- geometry
- geometry (polygons)
- geometry (triangles)
- geometry (types of triangles)
- geometry (equilateral triangles)
- geometry (isosceles triangles)
- geometry (scalene triangles)
- geometry (interior angles of a triangle)
- geometry (how to find a missing angle in a triangle)
- geometry (circles)
- geometry (circumference of a circle)
- geometry (circle theorems)
- geometry (circle theorem: tangent radius 90 degrees)
- geometry (circle theorem: two radii make an isosceles triangle)
- geometry (circle theorem: perpendicular bisector of a chord passes through center)
- geometry (circle theorem: angle at center twice at circumference)
- geometry (circle theorem: angle in semicircle 90 degrees)
- geometry (circle theorem: angles in same segment are equal)
- geometry (circle theorem: opposite angles in a cyclic quadrilateral add up to 180 degrees)
- geometry (circle theorem: tangents from same point equal)
- geometry (circle theorem: angle in alternate segment is equal)
- graphs (the parts of a graph)
- graphs (bar charts and line graphs) ( interactive widget)
- graphs (create a pie chart) ( interactive widget)
- graphs (create a graph of a linear equation) ( interactive widget)
- graphs (create a graph of a quadratic equation) ( interactive widget)
- graphs (co-ordinates explained)
- graphs (Cartesian co-ordinates)
- graphs (polar co-ordinates)
- graphs (coverting Cartesian co-ordinates to polar co-ordinates)
- graphs (coverting polar co-ordinates to Cartesian co-ordinates)
- graphs (polar and Cartesian co-ordinates) ( interactive widget)
- greatest common factor

H

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I

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- improper fractions
- integers
- integers (natural whole integers)
- inverse function
- inverse function (find the inverse of a function using algebra)
- inverse function (find the inverse of a function using a number machine)
- inverse function (find the inverse of a function using a graph)

J

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K

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(famous mathematician)

L

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- least common multiple
- linear equations
- linear equations (create a graph) ( interactive widget)
- linear equations (general form)
- Linear equations (slope point form)
- linear equations (finding the Y-intercept)
- linear equation (between two points)
- linear equations (calculating the slope)
- long addition
- long addition (step by step) ( interactive widget)
- long division
- long division with decimals
- long division (step by step) ( interactive widget)
- long multiplication
- long multiplication (step by step) ( interactive widget)
- long subtraction
- long subtraction (step by step) ( interactive widget)

M

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- mean average
- median average
- midpoint formula
- mixed fractions
- mode average
- multiple
- multiple (least common)
- multiplication basics
- multiplication (long)
- multiplication (long) (step-by-step explanation) ( interactive widget)
- multiplying fractions

N

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(famous mathematician)

- number line
- number line (for addition and subtraction)
- numbers (even numbers)
- numbers (odd numbers)
- numbers (even and odd numbers)
- numbers (natural numbers)
- numbers (whole numbers)
- numbers (natural whole integers)
- numbers (integers)
- numbers (square numbers)
- numbers (prime numbers)
- numerator

O

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- operators
- operations
- operands
- odd numbers
- order of operations
- "or rule" (calculating probability using tree diagrams)
- "or rule" (calculating probability for mutually exclusive events)

P

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- parallelograms
- parallelogram (finding the area of)
- pi
- pie chart ( interactive widget)
- percentages
- percentages basic understanding ( interactive widget)
- percentages (adding percentages)
- percentages (converting percentages to decimals)
- percentage (converting percentages to fractions)
- percentages (how to express one number as a percentage of another)
- percentages (how to find a percentage change)
- percentages (how to find the percentage of a number)
- percentages (subtracting percentages)
- percentages (converting percentages to a fraction or a decimal)
- polar co-ordinates
- polar co-oordinates (converting from Cartesian co-ordinates)
- polar co-ordinates (coverting to Cartesian from polar)
- polar co-ordinates (polar and Cartesian co-ordinates) ( interactive widget)
- polygons (geometry)
- positive numbers
- prime numbers
- probability (overview)
- probability (dependent event)
- probability (independent event)
- probability (mutually exclusive event)
- probability (two independent events)
- probability (tree diagram explained)
- probability (how to draw a tree diagram)
- probability (the
**or rule**using tree diagrams) - probability (finding probabilities of each outcome from a tree diagram)
- probability (the
**or rule**for mutually exclusive events) - proper fractions

(famous mathematician)

Q

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- quadratic equations explained
- quadratic equations (solve using factorisation)
- quadratic equations (solve using the graphical method)
- quadratic equations (solve using the quadratic formula)
- quadratic equations (factorizing the difference of squares)
- quadratic equation (create a graph) ( interactive widget)

R

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- radians
- radius
- radius (finding the radius from the area)
- radius (finding the radius from the diameter)
- radius (finding the radius from the circumference)
- range
- reciprocals
- rectangles
- rectangle (finding the area of)
- reflection (reflect a shape in y=x)
- reflection (reflect a shape in y=-x)
- reflection (reflect a shape in x-axis using cartesian co-ordinates)
- reflection (reflect a shape in y=x using cartesian co-ordinates)
- reflection (reflect a shape in y=-x using cartesian co-ordinates)
- reflex angle
- right angle
- rotation
- rotation (describing rotation)
- rotation (common rotations)
- rotation (90 degrees rotation)
- rotation (180 degrees rotation)
- rotation (270 degrees rotation)
- rotation (how to rotate a shape)
- rounding numbers ( interactive widget)

S

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- scale (factor greater than 1)
- scale (factor less than 1)
- scale (factor equal to 1)
- scientific notation
- simplifying fractions
- simultaneous equations (definition)
- simultaneous equations (methods for solving)
- simultaneous equations (using elimination)
- simultaneous equations (using substitution)
- simultaneous equations (using graphical methods)
- slope (calculating the slope of a line)
- slope (find the slope between two points)
- slope (calculating the slope of a line) ( interactive widget)
- sphere (finding the volume of) ( interactive widget)
- straight angle
- squares
- square numbers
- square root
- square (finding the area of)
- subtraction basics
- subtraction (long subtraction)
- subtraction (long substraction step by step) ( interactive widget)
- subtracting fractions
- subtracting percentages

T

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- terms
- transformations
- translation
- trapezoids
- trapezoid (finding the area of)
- triangles
- triangle (finding the area of)
- triangle (types of)
- triangles (equilateral triangles)
- triangles (isosceles triangles)
- triangles (scalene triangles)
- triangles (interior angles of a triangle)
- triangles (how to find a missing angle in a triangle)
- trigonometry
- trigonometry (using the sine function to find the opposite)
- trigonometry (using the sine function to find the hypotenuse)
- trigonometry (using the sine function to find the angle)
- trigonometry (using the cosine function to find the adjacent)
- trigonometry (using the cosine function to find the hypotenuse)
- trigonometry (using the cosine function to find the angle)
- trigonometry (using the tangent function to find the opposite)
- trigonometry (using the tangent function to find the adjacent)
- trigonometry (using the tangent function to find the angle)
- trigonometry (finding the area of a triangle using trigonometry)
- types of numbers

U

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V

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- variables
- volume of a cone ( interactive widget)
- volume of a cube ( interactive widget)
- volume of a cylinder ( interactive widget)
- volume of a sphere ( interactive widget)

W

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X

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Y

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- Y-axis (explained)
- Y-intercept (finding the Y-intercept of a linear equation)
- Y-intercept (finding the Y-intercept of a linear equation ( interactive widget)

Z

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