Flashcards: Mr. Blake's Math Vocab

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Created by:

blake_michael on September 8, 2010

Subjects:

pre-algebra, math, math vocabulary

Description:

Math Course 3

Chapter 1-10 Vocab

Mr. Blake's Class

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Exploring Creation with Physical Science, STUDY GROUP | Everybody Welcome!, Tarver's Math, Jesus Quintero, Alberto Fernandez, Studyskills Math Resources

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Flashcards: Mr. Blake's Math Vocab

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

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
additive identity property The sum of a number and zero is always that number.
additive inverse property 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
commutative property of addition 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
associative property of addition 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.
quadrant 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
radius 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
radical expression 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
Pythagorean Theorem 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
slope intercept form 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


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