# Mr. Blake's Math Vocab

## 144 terms · Math Course 3 Chapter 1-10 Vocab Mr. Blake's Class

### bar graph

a type of graph in which the lengths of bars are used to represent and compare data in categories

### frequency table

A table that lists items together according to its interval which is the number of times, or frequency, that the items occur

### histogram

A bar graph where the bars touch, where the height of each bar indicates its frequency, and where data is grouped into intervals

### numerical expression

consists of numbers and operations

### evaluate

to find the value of an expression

### order of operations

the order in which operations in an expression to be evaluated are carried out. 1. parentheses 2. exponets 3. multiplication and divison 4. addition and subtraction

### variable

a letter used to represent one or more numbers

### variable expression

consists of numbers, variables, and operations

### power

is a number made of repeated factors

### exponent

a mathematical notation indicating the number of times a quantity is multiplied by itself

### base

is the number that is repeatedly multiplied in a power

### equation

a mathematical sentence with an equal sign that shows that two expressions are equivalent

### solving an equation

finding all the solutions of an equation

### formula

An equation that shows a relationship among two or more quantities

### perimeter

The sum of the lengths of the sides of a polygon

### area

the number of square units needed to cover a flat surface

### integers

Positive and Negative Whole Numbers and 0. Examples: .... -3, -2, -1, 0, 1, 2, 3.....(Does not include fractions or decimals)

### absolute value

the distance a number is from 0 on the number line, value of n is written l n l

The sum of a number and zero is always that number.

The sum of a number and its opposite is zero.

### multiplication identity property

The product of any number and one is that number.

### mean

the sum of the values in a data set divided by the number of values in the set

In a sum, you can add terms in any order, a + b = b + a

### commutative property of multiplication

the order of the factors does not change the product a x b = b x a

changing the grouping of terms will not change the sum, (a + b) + c = a + (b + c)

### associative property of multiplication

changing the grouping of factors will not change the product, (ab)c = a(bc)

### distributive property

a(b + c) = ab + ac

### terms

in an expression are separated by addition and subtraction signs

### like terms

terms that have identical variable parts raised to the same power

### coefficient

number in front of a variable

### constant

a term that has no variable and does not change

### coordinate plane

A plane that is divided into four regions by a horizontal line called the x-axis and a vertical line called the y-axis.

### ordered pair

A pair of numbers, (x, y), that indicate the position of a point on a coordinate plane.

one of four sections into which the coordinate plane is divided

### Inverse Operation

operations that undo each other, such as addition and subtraction

### Isolate the variable

To get a variable alone on one side of an equation or inequality in order to solve the equation or inequality

### Equivalent Equations

equations that have the same solution

### base

the bottom of a triangle

### height

the perpendicular (90 degrees) distance from the base of a triangle to the opposite vertex

### Inequality

A statement that compares two quantities using <, >, ≤,≥, or ≠

### Equivalent Inequalities

inequalities that have the same solution

### prime number

A whole number that has exactly two factors, 1 and itself.

### composite

a number that has more than two factors

### monomial

a single term made up of numbers and variables

### prime factorization

a number written as the product of its prime factors

### greatest common factor

The largest factor that two or more numbers have in common.

### simplest form

when the GCF of the numerator and denominator is 1

### equivalent fractions

fractions that have the same value and the same simplest form

### multiple

skip-counting by any given number Ex: 4, 8, 12, 16...

### least common multiple

the smallest multiple that two or more numbers have in common

### least common denominator

The least common multiple of the denominators of two or more fractions.

### scientific notation

a method of writing very large or very small numbers by using powers of 10

### reciprocal

one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2

### rational number

A number that can be written as a/b where a and b are integers, but b is not equal to 0.

### repeating decimal

a decimal in which one or more digits repeat infinitely

### median

is the middle value in a data set where the numbers are ordered least to greatest

### mode

is the value in a data set that occurs most often. If all values occur the same amount of times there is no mode for that set.

### range

is the difference of the greatest value and the least value in a set of data.

### circle

is the set of all points that are an equal distance from a point called the center

### center

the point in the exact middle of a circle

a line segment from the center of a circle to any point on the circle (is also half the diameter)

### diameter

the distance across a circle through its center (is also twice the radius)

### circumference

The distance around a circle.

### ratio

a comparison of two numbers by division

### rate

a ratio that compares two quantities measured in different units

### unit rate

a rate that has a denominator of 1

### equivalent ratios

Ratios that have the same value.

### proportion

an equation that states that two ratios are equal
Ex: 1/2 = x/10

### cross products

in a proportion the numbers diagonally across from each other multiplied together Ex: a/b=c/d, ad and bc

### scale model

a model of an object in which the dimensions are in proportion to the actual dimensions of the object.

### percent

a ratio whose denominator is 100

### pie graph

a graph that best shows part of a whole or the percentage out of 100%

### markup

the amount the price of an item is increased above the price the store is paid for the item

### discount

a decrease in the price of an item

### interest

is the amount paid for borrowing or lending money

### principal

the original amount of money loaned or borrowed

### annual interest rate

the percent of the principal you pay or earn a year

### favorable outcome

the outcome you would perfer happen.

### probability of an event

number of favorable outcomes divided by total number of possible outcomes

### theoretical probability

what should occur in a probability experiment...an experiment is not actually done

### experimental probability

probability based on what happens when an experiment is actually done

### straight angle

an angle that measures 180 degrees

### right angle

an angle that measures 90 degrees

### supplementary angles

Two angles whose sum is 180 degrees

### complimentary angles

Two angles that add up to 90 degrees

### vertical angles

a pair of opposite congruent angles formed by intersecting lines

### perpendicular lines

two lines that intersect to form a right angle

### parallel lines

two lines that never intersect

### acute triangle

a triangle with 3 acute angles

### obtuse triangle

a triangle with one obtuse angle

### right triangle

A triangle that has a 90 degree angle.

### equilateral triangle

a triangle with three equal sides

### isosceles triangle

a triangle with two equal sides

### scalene triangle

a triangle with no equal sides

### trapezoid

a quadrilateral with exactly one pair of parallel sides

### parallelogram

A quadrilateral with two pairs of parallel sides

### rhombus

a parallelogram with four equal sides

### congruent line segments

two line segments with equal lengths

### congruent angles

two angles with the same measure

### reflection

A transformation that "flips" a figure over the x or y axis

### line of symmetry

a line that divides a figure into two halves that are mirror images of each other

### translation

moves each point in a figure the same distance and direction, the new image is congruent to the original

### rotation

a transformation that turns the original figure around the origin 90, 180, or 270 degrees clockwise or counter clockwise

### similar figures

figures that have the same shape but different sizes; their angles are congruent and their sides are proportional

### scale factor

the number used to enlarge or reduce similar figures

an expression that contains a square root

### perfect square

a number that has a whole number for a square root ex: 9, 16, 121

### irrational number

a number that can not be written a/b

### hypotenuse

the side of a right triangle opposite the right angle, also the longest side of a right triangle

### legs

the two sides that make up the right angle in a right triangle

a²+b²=c²

### Pythagorean triple

a set of three positive integers that work in the pythagorean theorem

### slant height

the height of each lateral (outside) face of a pyramid or cone

### perpendicular height

the height of a polygon that is in a 90 degree relationship to the base of the polygon

### Pi

3.1415.... is an irrational number

### polyhedron

a three-dimensional figure whose surfaces are polygons

### face

the polygons that form a polyhedron

### edges

where two polygons meet in a polyhedron

### vertex

a point where three or more edges meet in a polyhedron, or where two lines meet in a polygon

### prism

is a polyhedron with two bases and faces are rectagles

### cube

special polyhedron with faces that are all squares

### pyramid

a polyhedron with one base and the faces are triangles

### cylinder

a geometric solid with two bases that are circles

### cone

a geometric solid with one circular base

### sphere

a three-dimensional closed figure that looks like a ball

### net

a two-dimensional pattern that forms a three-dimensional solid when formed

### surface area

The total area of the 2-dimensional surfaces that make up a 3-dimensional object.

### volume

the amount of 3-dimensional space occupied by an object

### input

the x-value in a function

### output

the y-value in a function

### function

a relation that assigns exactly one output value for each input value

### domain

the set of all the input (x-values) for a function

### range

the set of all the output (y-values) for a function

### linear equation

an equation whose answers are ordered pairs (x,y) and whose answers graph a straight line

### x-intercept

the point where a graph crosses the x-axis

### y-intercept

the point where a graph crosses the y-axis

### slope

the steepness of a line on a graph, rise over run

y = mx + b

### stem and leaf plot

A data display that shows groups of data arranged in order by place value.

### box and whisker plot

a diagram that summarizes data using the median, the upper and lower quartiles, and upper and lower extremes.

### tree diagram (probability)

a diagram used to show the total number of possible outcomes in an experiment

### odds

the ratio of the number of ways the event can occur to the number of ways the event cannot occur. Favorable over Unfavorable.

### independent event (probability)

an event that is not affected by another event.

### dependent event (probability)

an event who's outcome does depend on the outcome of a previous event

### Flickr Creative Commons Images

Some images used in this set are licensed under the Creative Commons through Flickr.com. Click to see the original works with their full license.