exponent
a superscript which indicates the number of times a base number is multiplied by itself
base number
the number on which exponentiation is being carried out
scientific notation
a convenient way of expressing numbers that are too large or too small
equation
an equation consists of an equal sign and quantities (represented by symbols) to its left and to its right
quadratic equation
an equation in the form ax²+bx+c=0, where a, b and c are constants
root
a solution to a quadratic equation
simultaneous equation
independent equations that share unknowns which are solved together
direct relationship
a relationship between two variables such that an increase in one causes an increase in the other by the same factor
slope
the steepness of a line, measured by the ratio Δy/Δx
inverse proportion
a relationship between two variables such that an increase in one causes a decrease in the other by the same factor
inverse square proportion
a relationship between two quantities such that one quantity is inversely proportional to the square of the other
common logarithm
common logarithm of a number is the power to which 10 must be raised to obtain that number
natural logarithm
natural logarithm of a number is the power to which e must be raised to obtain that number
area of rectangle
A=ab
area of circle
A=πr²
volume of cuboid
V=abc
surface area of sphere
A=4πr²
volume of sphere
V=4πr³
volume of cylinder
V=πr²h
similar triangles
triangles with equal corresponding angles and equal ratios of corresponding sides
congruent
triangles that have the same size and shape
right triangle
a triangle in which one angle is 90°
radians
angles can be expressed in degrees or ______
360°
the trigonometric functions, sin and cos are periodic with a period of __
90°
the trigonometric functions, sin and cos are __ out of phase
trig identity
an equality that involves trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined