P (parentheses - grouping symbols), E (exponents), M (multiplication), D (division), A (addition), S (subtraction).
Integers - a/s/m/d
Whole numbers and their opposites.
Expressions
An equation without a solution.
Absolute Value
The Distance of a number from zero on the number line.
Coordinate Plane
The plane formed by two number lines that intersect at their zero points. The horizontal number line is the x-axis. The vertical number line is the y-axis. The two axes meet at the origin, O (0,0), and divide the coordinate plane into four quadrants.
Distributive Property
For any numbers a, b, and c, a(b+c)=ab+ac and a(b-c)=ab-ac.
Factors
A factor of a nonzero integer is an integer that divides the nonzero integer with remainder zero.
Rational Numbers
A rational number is any number you can write as a quotient of two integers a over b, where b is not zero.
Scientific Notation
Scientific notation is a way of expressing a number. A number is expressed in scientific notation when it is written as the product of a number greater than or equal to 1 and less than 10, and a power of 10.
Ratio
A ratio is a comparison of two quantities by division.
Unit Rate
How much one of a group things would be if you only the price of the group.
Proportions
An equality of two ratios.
Scale Figures
How much smaller or larger something is than an identical object.
Percent
A ratio that compares a number to 100.
Percent Change
The percent something increases or decreases from its original amount. Difference of new and original over original.
Functions
A function is a relationship in which each member of the domain is paired with exactly one member of the range. A number of the domain is an input and the related number of the range is an output.
Lines
A line is a series of points that extends in opposite directions without end.
Polygons
A closed plane figure with at least three sides.
Congruence
Two things are exactly the same.
Translations
A transformation that moves points the same distance and in the same direction.
Symmetry
When a shape is the same on both sides.
Reflections
A transformation that flips a figure over a line of reflection.
Rotations
A transformation that turns a figure about a fixed point, called the center of rotation. The angle measure of the rotation is the angle of rotation.
Area
The number of square units a figure encloses.
Pythagorean Theorem
a2+b2=c2
Permutations
An arrangement of items in a particular order. You can use the notation nPr to express the number of permutations of n objects chosen r at a time. Keyword: different.
Combinations
A group of items in which the order of the items ins not important. You can use the notation nCr to express the number of combinations of n objects chosen r at a time. To solve nPr over rPr.
Mean
The average. Add up all data then divide by the amount of numbers added together.
Median
The middle number.
Mode
The number that shows up the most.
Polynomial
A monomial or a sum or difference of monomials.
Monomial
A real number, a variable, or a product of a real number and variables with whole number exponents.
Exponential Growth
Any function of the form y=b^x, where b > 1. The graph of the function curves upwards as input values increase.
Exponential Decay
Any function of the form y=b^2, where 0 < b < 1. The graph of the function slopes downward as input values increase.
Slope, Y Intersect
y=mx+b, m= rise over run or (y1-y2) / (x1-x2)
Scatter Plot
A plot of ordered pairs.
Positive Correlation: as y increases, x increases as well.
Negative Correlation: as y increases, x decreases (opposites).
No Correlation: no relationship.
Interest
Simple: I=prt (interest = principal x rate per year x time in years).
Compound: B=p(1+r)^n (balance = principle (1 + the rate for each interest period) ^ number of interest periods.
Standard Form
In order of decreasing exponents.
Line Plot
A graph that displays data by using x's above a number line.