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Math Equations
| Term | Definition |
|---|---|
| Area of a trapezoid | A = (1/2)(b + B)h |
| Distance formula (for finding diagonals, corner-to-corner distance, distance between points) | d = SQRT ((a-b)^2 + (c-d)^2 + ...) |
| Volume of a cone | V = 1/3 pi (r^2) h |
| Volume of a pyramid | V = 1/3 Bh |
| Volume of a sphere | V = 4/3 pi r^3 |
| SA of a sphere | SA = 4 pi r^2 |
| Number of diagonals | n(n-3)/2 |
| Sum of interior angles of a polygon | 180(n-2) |
| Number of sides of a polygon | Total degrees/180 + 2 |
| Degree measure of an interior angle | 180(n-2)/n 180 - (360/n) |
| 30-60-90 Triangle Values | 1/2, SQRT(3)/2, SQRT(3) - Use left hand |
| 45-45-90 Triangle Values | SQRT(2)/2 (both x and y), 1 - use left hand |
| Z-Score | Z = (actual score - mean) / standard deviation |
| Probability of independent events | P(A and B) = P(A)*P(B) |
| Probability of dependent events (without replacement) | P(A and B) = P(A)*P(B:A) |
| Probability of non-mutually exclusive events | P(A or B) = P(A) + P(B) - P(both) |
| Probability of mutually exclusive events | P(A or B) = P(A) + P(B) |
| Complimentary angles Supplementary angles | add to 90 add to 180 |
| Arithmetic Mean | Add and divide by number of terms |
| Geometric Mean | Multiply numbers and find square root OR Square root numbers and multiply |
| Discriminant | b^2 - 4ac |
| Determinant | multiply top left and bottom right, then subtract the product of top right and bottom left |
| How to find the vertex of a parabola | -b/2a, then plug in to find y find the derivative, then plug x value in to find y |
| reference angles | first quadrant angles that are equivalent to given angle always made with the nearest x axis |
| co-terminal angles | angles that are either +/- 360 degrees or 2pi radians from a given angle |
| period of a sine/cosine function period of a tangent function | 2pi/b pi/b |
| How to identify characteristics of a trig function (amplitude, period, phase shift, vertical shift) | amplitude: coefficient of the entire function period: either 2pi or pi divided by the coefficient of x phase shift: horizontal shift inside parentheses vertical shift: vertical translation outside of parentheses |
| square root of the variance of a set of data | standard deviation |
| finding equation of a tangent line | find derivative, then find slope at the point, then use point-slope form |
| Derivative rules | power rule, chain rule, product rule most common |
| Percents in a normal curve | 1 sd away: 68% 2 sd away: 95% 3 sd away: 99.7% |
Created by:
adamrobb
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