Math III Words we KNOW (categorized by Unit) by Justin Blackburn

Numbers/General Terms

jblackburn4 — 2016-01-07 20:51:59 UTC

Polynomials

jblackburn4 — 2016-01-07 20:52:18 UTC

Rational Functions

jblackburn4 — 2016-01-07 20:52:27 UTC

Exponential and Logarithmic Functions

jblackburn4 — 2016-01-07 20:53:00 UTC

Circles

jblackburn4 — 2016-01-07 20:53:35 UTC

a round shape

Triangles (including Right Triangle Trig)

jblackburn4 — 2016-01-07 20:54:06 UTC

Trigonometry

jblackburn4 — 2016-01-07 20:54:53 UTC

Unit Circle

jblackburn4 — 2016-01-07 20:57:10 UTC

Equation

jblackburn4 — 2016-01-07 20:58:45 UTC

an expression involving an equals sign

For Example:

x^2 + 3x + 2 = 0

Formula

jblackburn4 — 2016-01-07 20:59:33 UTC

an equation that can be used to solve problems

For example: The Pythagorean Theorem is probably the most well known fromula

Value

jblackburn4 — 2016-01-08 13:47:03 UTC

A number signifying the result of calculation or function

Ex:x=6 and y=3

Simplify

jblackburn4 — 2016-01-08 13:47:29 UTC

To use the rules of arithmetic and algebra to rewrite an expression as simply as possible

Ex:

Constant

jblackburn4 — 2016-01-08 13:47:41 UTC

Non-varying

Ex:

Solve

jblackburn4 — 2016-01-08 13:48:22 UTC

Sum

jblackburn4 — 2016-01-08 13:48:34 UTC

The full amount, or the whole

Quadratics

jblackburn4 — 2016-01-08 13:48:55 UTC

Whole Number

jblackburn4 — 2016-01-08 13:49:04 UTC

A number with no fractional or decimal part. And no negatives

Ex: 0, 1, 2, 3, 4, ... etc

Rational

jblackburn4 — 2016-01-08 13:49:20 UTC

All positive and negative fractions, including integers and improper fractions

Rational Number

jblackburn4 — 2016-01-08 13:49:22 UTC

The set of all real numbers that can be written as a ratio of integers with nonzero denominator

Irrational Number

jblackburn4 — 2016-01-08 13:49:34 UTC

Any real number that cannot be expressed as a ratio of integers

Ex:Pythagorean theorem: c² = a²+b² = b²+b² = 2b²

Solution

jblackburn4 — 2016-01-08 13:49:46 UTC

Any and all value(s) of the variable(s) that satisfies an equation, inequality, system of equations, or system of inequalities

Function

jblackburn4 — 2016-01-08 13:50:11 UTC

A relation for which each element of the domain corresponds to exactly one element of the range. For example, is a function because each number x in the domain has only one possible square root. On the other hand, is not a function because there are two possible values for any positive value of x.

Distribute

jblackburn4 — 2016-01-08 13:51:10 UTC

generalizes the distributive law from elementary algebra

Ex:2 ⋅ (1 + 3) = (2 ⋅ 1) + (2 ⋅ 3), but 2 / (1 + 3) ≠ (2 / 1) + (2 / 3).

Parabola

jblackburn4 — 2016-01-08 13:52:33 UTC

The curve formed by all the points(x.y)

Roots

jblackburn4 — 2016-01-08 13:53:29 UTC

A real number x will be called a solution or a root

Completing the Square

jblackburn4 — 2016-01-08 13:53:57 UTC

a technique used to solve quadratic equations, to find irrational and complex roots.

Quadratic Formula

jblackburn4 — 2016-01-08 13:54:21 UTC

The quadratic formula , is used in algebra to solve quadraticequations

Factor (Factoring)

jblackburn4 — 2016-01-08 13:54:47 UTC

you will find two numbers that will not only multiply to equal the constant term "c", but also add up to equal "b", the coefficient on the x-term.

Domain

jblackburn4 — 2016-01-08 13:55:03 UTC

Range

jblackburn4 — 2016-01-08 13:55:27 UTC

Maximum

jblackburn4 — 2016-01-08 13:56:15 UTC

Minimum

jblackburn4 — 2016-01-08 13:56:21 UTC

Zeros

jblackburn4 — 2016-01-08 13:57:28 UTC

Roots

jblackburn4 — 2016-01-08 13:58:39 UTC

The roots of a polynomial are the values of the variable that cause the polynomial to evaluate to zero. For example the roots of are +2 and -2.

Zeros

jblackburn4 — 2016-01-08 13:58:46 UTC

Where a function equals the value zero (0).

Factor

jblackburn4 — 2016-01-08 13:59:05 UTC

Factors are numbers you can multiply together to get another number: Example: 2 and 3 are factors of 6, because 2 × 3 = 6. 3 and 4 are factorsof 12, because 3 × 4 = 12. Also 2 × 6 = 12 so 2 and 6 are also factors of 12.

End Behavior

jblackburn4 — 2016-01-08 14:00:23 UTC

Increasing

jblackburn4 — 2016-01-08 14:00:35 UTC

Make something bigger in size.

Decreasing

jblackburn4 — 2016-01-08 14:00:41 UTC

Make something smaller in size.

Maximum

jblackburn4 — 2016-01-08 14:01:15 UTC

The largest value.

Minimum

jblackburn4 — 2016-01-08 14:01:18 UTC

Smallest value

Synthetic Division

jblackburn4 — 2016-01-08 14:02:27 UTC

Long Division

jblackburn4 — 2016-01-08 14:02:45 UTC

- Divide the number inside the house with the number outside the house.

- Multiply the number outside of the house by the number on top of the house.

Subtract the number inside the house from the number below the inside number.

- Check to make sure the difference is smaller than the number outside the house.

- Bring down the next number in the dividend to add to the ones place in your sum.

- Repeat all the steps as many times as needed.

Least Common Denominator

jblackburn4 — 2016-01-08 14:04:32 UTC

least occurring number

Divide Rationals (KCF)

jblackburn4 — 2016-01-08 14:04:51 UTC

dividing rational fractions

Canceling Factors

jblackburn4 — 2016-01-08 14:05:35 UTC

cancel common factors in order to simplify

Horizontal Asymptote

jblackburn4 — 2016-01-08 14:06:09 UTC

horizontal invisible line that splits the graph

Vertical Asymptote

jblackburn4 — 2016-01-08 14:06:14 UTC

vertical invisible line that splits the graph

Hole

jblackburn4 — 2016-01-08 14:07:01 UTC

hole in the graph

Properties of Logs

jblackburn4 — 2016-01-08 14:08:09 UTC

The logarithmic base b of a number x is the power to which b must be raised in order to equal b. This is written log_b x

Example:

Properties of Exponents

jblackburn4 — 2016-01-08 14:08:17 UTC

An exponent is a number that indicates how many times you should multiply a number to itself.

Ex:

Inverse

jblackburn4 — 2016-01-08 14:09:00 UTC

Meaning the opposite of something.

Ex:

Compound Interest Formula

jblackburn4 — 2016-01-08 14:09:56 UTC

The interest calculated on the initial principal.

Ex:

A= P(1+ r/n)nt

A= amount P= principal

R= rate of interest

N= number of times per years, interest is compounded

nt= time in years

Continuous Compound Interest Formula

jblackburn4 — 2016-01-08 14:10:20 UTC

Continuous Compound interest Formula means that your principal is constantly earning interest and the interest keeps earning on the interest earned.

Circumference Formula

jblackburn4 — 2016-01-08 14:11:02 UTC

the distance around the circle

Radius

jblackburn4 — 2016-01-08 14:12:05 UTC

The distance from the center of the circle to the circunference

Area Formula

jblackburn4 — 2016-01-08 14:12:16 UTC

A=πr2

Diameter

jblackburn4 — 2016-01-08 14:12:48 UTC

a line passing through the middle of the circle.

Sector Area

jblackburn4 — 2016-01-08 14:13:20 UTC

A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc

Arc Length

jblackburn4 — 2016-01-08 14:13:37 UTC

Central Angle

jblackburn4 — 2016-01-08 14:14:08 UTC

A central angle is the angle that forms when two radii meet at the center of a circle.

Inscribed Angle

jblackburn4 — 2016-01-08 14:14:38 UTC

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint.

Pi

jblackburn4 — 2016-01-08 14:14:53 UTC

3.14

30-60-90 RT Triangle

jblackburn4 — 2016-01-08 14:15:36 UTC

Special right triangle with angles that are 30, 60, and 90 degreees.

45-45-90 RT Triangle

jblackburn4 — 2016-01-08 14:16:07 UTC

Special right triangle with 2 angles that are 45 degrees and a 90 degrees angle.

SOH CAH TOA

jblackburn4 — 2016-01-08 14:16:31 UTC

Sine: Opposite over hypotenuse

Cosine: Adjacent over hypotenuse

Tangent: Opposite over adjacent

Area

jblackburn4 — 2016-01-08 14:16:38 UTC

To find the area of a triangle area equals 1/2bh where b= base and h= height

Interior angle Sum

jblackburn4 — 2016-01-08 14:17:04 UTC

The sum of the interior angles for a triangle is 180 degrees

SOH CAH TOA

jblackburn4 — 2016-01-08 14:17:48 UTC

Sine: Opposite over hypotenuse

Cosine: Adjacent over hypotenuse

Tangent: Opposite over adjacent

Sin is y value

jblackburn4 — 2016-01-08 14:18:43 UTC

y coordinate

Cos is x value

jblackburn4 — 2016-01-08 14:19:09 UTC

x coordinate

Tan is y/x

jblackburn4 — 2016-01-08 14:19:38 UTC

Coterminal Angle

jblackburn4 — 2016-01-08 14:20:35 UTC

Pi

jblackburn4 — 2016-01-08 14:20:50 UTC

Degrees

jblackburn4 — 2016-01-08 14:20:56 UTC

Cooridinates

jblackburn4 — 2016-01-08 14:21:12 UTC

square root

jblackburn4 — 2016-01-08 14:22:04 UTC

Radians

jblackburn4 — 2016-01-08 14:22:13 UTC

Statistics

jblackburn4 — 2016-01-08 14:22:40 UTC

Standard Deviation

jblackburn4 — 2016-01-08 14:22:58 UTC

Mean

jblackburn4 — 2016-01-08 14:23:02 UTC

Median

jblackburn4 — 2016-01-08 14:23:07 UTC

Mode

jblackburn4 — 2016-01-08 14:23:09 UTC

Data

jblackburn4 — 2016-01-08 14:23:25 UTC

Range

jblackburn4 — 2016-01-08 14:23:31 UTC

Normal Distribution (Bell-Curve)

jblackburn4 — 2016-01-08 14:23:55 UTC

Empirical Rule

jblackburn4 — 2016-01-08 14:24:31 UTC

Z-Score

jblackburn4 — 2016-01-08 14:24:56 UTC

Remainder of Division

jblackburn4 — 2016-01-08 14:26:06 UTC

The polynomial left over after dividing one polynomial by another.

Sinusodally

jblackburn4 — 2016-01-08 14:26:33 UTC

relating to a sine curve

Amplitude

jblackburn4 — 2016-01-08 14:27:21 UTC

Is the height from the mean of the function to its maximum or minimum

Systematic Random

jblackburn4 — 2016-01-08 14:27:40 UTC

Directrix

jblackburn4 — 2016-01-08 14:28:13 UTC