How can we help?

You can also find more resources in our Help Center.

Place value

Divide

Divisor

Dividend

The value of each digit in a number, based on the location of…

To separate into equal groups; the opposite operation of mult…

The number that divides the dividend

The number that is to be divided in a division problem

Place value

The value of each digit in a number, based on the location of…

Divide

To separate into equal groups; the opposite operation of mult…

Double Number Line Diagram

Equivalent Ratio

Ratio

Rate

Another way to represent ratios that shows how two quantities…

Two ratios that name the same number

Comparison of two numbers by division.

Ratio involving two quantities in different units.

Double Number Line Diagram

Another way to represent ratios that shows how two quantities…

Equivalent Ratio

Two ratios that name the same number

routing problems

street-routing problems

vertex set

edge list

problems concerned with routing the delivery of goods or serv…

problems where a specified set of connections (roads, bridges…

the set of vertices of a graph

a list of all the edges of a graph

routing problems

problems concerned with routing the delivery of goods or serv…

street-routing problems

problems where a specified set of connections (roads, bridges…

5-8

5-9

5-10

5-11

if two lines are parallel, then all points on one line are eq…

if three parallel lines cut off congruent segments on one tra…

a line that contains the midpoint of one side of a triangle a…

the segment that joins midpoints of two sides of a triangle…

5-8

if two lines are parallel, then all points on one line are eq…

5-9

if three parallel lines cut off congruent segments on one tra…

Common Denominator

Denominator

Equivalent Fractions

Numerator

A common multiple of two or more denominators.

The number below the bar in a fraction that tells how many eq…

Fractions that name the same amount or part.

The number above the bar in a fraction that tells how many eq…

Common Denominator

A common multiple of two or more denominators.

Denominator

The number below the bar in a fraction that tells how many eq…

point

line

plane

ray

an exact location or position where a plane is located

a line that goes on forever in both directions

a flat two-dimensional surface

a line that goes on forever in one direction

point

an exact location or position where a plane is located

line

a line that goes on forever in both directions

To find percent notation... from a fract…

To find a fraction notation... from a pe…

.333333333333 (repeating) ... to a fract…

. 66666666666 (repeating)... to a fraction

First turn it into a decimal. Divide the top number by the bo…

Use Calculator. Enter number, 2nd, PRB, = to get a deciaml. T…

Memorize (because the calculator will give you a syntax error…

Memorize: (because the calculator will give you a syntax erro…

To find percent notation... from a fract…

First turn it into a decimal. Divide the top number by the bo…

To find a fraction notation... from a pe…

Use Calculator. Enter number, 2nd, PRB, = to get a deciaml. T…

traveler

set of sites

set of costs

Hamilton path

person, group, object, anything that takes one trip

places the traveler visits (N- total number of vertices)

number or the expense of traveling from one site to the other…

a path that visits all vertices once and only once

traveler

person, group, object, anything that takes one trip

set of sites

places the traveler visits (N- total number of vertices)

measurement

attribute

volume

solid figure

Use of standard or non-standard units to find size or quantity.

A characteristic.... e.g., size, shape or color

The number of cubic units it takes to fill a figure

A geometric figure with 3 dimensions.

measurement

Use of standard or non-standard units to find size or quantity.

attribute

A characteristic.... e.g., size, shape or color

Distributive Property (4)

regroup (4)

partial products (4)

operation (5)

Multiply the addends of a number and then add the products.

To use place value to exchange equal amounts when renaming a…

The products of each place value are found separately, and th…

A mathmatical process such as additon, subtraction, multiplic…

Distributive Property (4)

Multiply the addends of a number and then add the products.

regroup (4)

To use place value to exchange equal amounts when renaming a…

Double number line diagram

Equivalent ratios

Percent

Rate

A double number line diagram shows how two quantities in diff…

Equivalent ratios name the same number. Equivalent ratios wri…

A percent is a ratio that compares a number to 100.

A rate is a ratio that compares two quantities measured in di…

Double number line diagram

A double number line diagram shows how two quantities in diff…

Equivalent ratios

Equivalent ratios name the same number. Equivalent ratios wri…

Common Denominator

Denominator

Equivalent Fractions

Numerator

A common multiple of two or more denominators.

The number below the bar in a fraction that tells how many eq…

Fractions that name the same amount or part.

The number above the bar in a fraction that tells how many eq…

Common Denominator

A common multiple of two or more denominators.

Denominator

The number below the bar in a fraction that tells how many eq…

simple random sampling

systematic sampling

convenience sampling

stratified sampling

Choose a sample of items in such a way that every item or per…

Using a simple rule to choose the sample, such as selecting e…

Use a sample that is "easy" to select.

Used when looking @ differences among "subgroups" within the…

simple random sampling

Choose a sample of items in such a way that every item or per…

systematic sampling

Using a simple rule to choose the sample, such as selecting e…

average speed

rate

speed

unit rate

The average distance traveled per unit time.

A ratio that compares two quantities with different units.

A special rate that expresses distance per unit time.

A ratio that compares a quantity to one unit of a different q…

average speed

The average distance traveled per unit time.

rate

A ratio that compares two quantities with different units.

parentheses

exponents

order of operations

PEMDAS

Used in mathematics as a grouping symbol for operations; oper…

The number that is small and raised to show how many times to…

the order in which operations in an expression to be evaluate…

Parentheses, Exponents, Multiplication, Division, Addition, S…

parentheses

Used in mathematics as a grouping symbol for operations; oper…

exponents

The number that is small and raised to show how many times to…

Division

Divisor

Quotient

Dividend

1.. To separate into equal groups... 2. To find the number of gr…

The number by which he dividend is being divided.

The answer to a division problem

The number being divided

Division

1.. To separate into equal groups... 2. To find the number of gr…

Divisor

The number by which he dividend is being divided.

measurement

attribute

volume

solid figure

Use of standard or non-standard units to find size or quantity.

A characteristic.... e.g., size, shape or color

The number of cubic units it takes to fill a figure

A geometric figure with 3 dimensions.

measurement

Use of standard or non-standard units to find size or quantity.

attribute

A characteristic.... e.g., size, shape or color

Tour

Optimal Tour

TSP

Hamilton Circuit

a trip that starts and ends at a site and visits all the othe…

a tour of minimal total cost

an acronym for "traveling salesman problem"

a circuit that visits all the vertices of a connected graph o…

Tour

a trip that starts and ends at a site and visits all the othe…

Optimal Tour

a tour of minimal total cost

Midsegment of a triangle

Coordinate proof

Perpendicular bisector

Equidistant

A segment that joins midpoints of two sides of the triangle

A style of poof that uses coordinate geometry and algebra

A line perpendicular to a segment at the segments midpoint

The same distance from two or more objects

Midsegment of a triangle

A segment that joins midpoints of two sides of the triangle

Coordinate proof

A style of poof that uses coordinate geometry and algebra

Midsegment of a triangle

Coordinate proof

Perpendicular bisector

Equidistant

A segment that joins the midpoints of two sides of a triangle

A style of proof that uses coordinate geometry and algebra

A line perpendicular to a segment at the segment's midpoint

The same distance from two or more objects

Midsegment of a triangle

A segment that joins the midpoints of two sides of a triangle

Coordinate proof

A style of proof that uses coordinate geometry and algebra

Average Markup

Billed Cost

Cost Complement

Cumulative Markup Percent

The average of markups working with total cost and total reta…

The cost after quantity and/or trade discounts are deducted,…

The difference between retail percent (100%) and markup perce…

The difference between the cumulative dollar markup and the c…

Average Markup

The average of markups working with total cost and total reta…

Billed Cost

The cost after quantity and/or trade discounts are deducted,…

2-dimensional

3-dimensional

area

bases of a prism

A shape that only has two dimensions (such as width and heigh…

An object that has height, width and depth (thickness), like…

The number of square units it takes to completely fill a spac…

The two faces formed by congruent polygons that lie in parall…

2-dimensional

A shape that only has two dimensions (such as width and heigh…

3-dimensional

An object that has height, width and depth (thickness), like…

Factor; Factorization

To find 2 or More Monomials

Tips for Factoring

To factor x2+bx+c is negative

To factor a polynomial is to express P as a product. A factor…

1. Find the prime factorization of the coefficients, -1 as a…

Before doing any kind of factoring, first try to factor out t…

When the constant term of a trinomial is native, look for 2 n…

Factor; Factorization

To factor a polynomial is to express P as a product. A factor…

To find 2 or More Monomials

1. Find the prime factorization of the coefficients, -1 as a…

Statistics

Population

Sampling

Bias

The science of collecting, organizing, and interpreting data.

A complete set of people or things being studied... Sample: sub…

Representative: in which the relevant characteristics of samp…

The design or conduct of a study tends to favor certain resul…

Statistics

The science of collecting, organizing, and interpreting data.

Population

A complete set of people or things being studied... Sample: sub…

two ways of allocating income

loans can be paid in two ways

we look at present value of project ca…

why should a corporation invest in a p…

calendar year method & portfolio method

amortization method & sinking fund method

net present value and internal rate of return

a firm should invest in a project if it creates additional va…

two ways of allocating income

calendar year method & portfolio method

loans can be paid in two ways

amortization method & sinking fund method

complex fraction

cross products

cross products property

direct variation

A fraction that has one or more fractions in the numerator or…

the cross Products of a proportion are equal

states that cross products of a proportion are equal; ... a/b =…

two quantities x and y show direct variations when y= kx, whe…

complex fraction

A fraction that has one or more fractions in the numerator or…

cross products

the cross Products of a proportion are equal

Employment agency

Resume

Benefits

Grosspay

List of jobs openings sometimes specializing in specific fields

Short account of you education and qualifications for employm…

Additional compensation from your employment that can include…

Your total pay which is the sum of hourly pay and overtime pa…

Employment agency

List of jobs openings sometimes specializing in specific fields

Resume

Short account of you education and qualifications for employm…

equidistant

perpendicular bisector theorem

angle bisector theorem

circumcenter

when a point is the same distance from two or more objects.

if a point is on the perpendicular bisector of a segment, the…

if a point is on the angle bisector of an angle, then it is e…

the point of concurrency of the perpendicular bisectors of th…

equidistant

when a point is the same distance from two or more objects.

perpendicular bisector theorem

if a point is on the perpendicular bisector of a segment, the…

counting numbers

sequence

term

digits

the numbers used to count; the members of the set {1, 2, 3, 4…

a list of numbers arranged according to a certain rule... exampl…

one of the numbers in a sequence

any of the symbols used to write numbers: 0, 1, 2, 3, 4, 5, 6…

counting numbers

the numbers used to count; the members of the set {1, 2, 3, 4…

sequence

a list of numbers arranged according to a certain rule... exampl…

Common Denominator

Denominator

Equivalent Fractions

Numerator

A common multiple of two or more denominators.

The number below the bar in a fraction that tells how many eq…

Fractions that name the same amount or part.

The number above the bar in a fraction that tells how many eq…

Common Denominator

A common multiple of two or more denominators.

Denominator

The number below the bar in a fraction that tells how many eq…

Prestige Pricing

Leader pricing

Loss leader

Competitive pricing

(Above the market pricing) Pricing policy that projects a pre…

Pricing policy for retailers that have brand name items at re…

Merchandise is priced below the cost of the item... Retailer mak…

(At the market pricing) pricing merchandise at or similar to…

Prestige Pricing

(Above the market pricing) Pricing policy that projects a pre…

Leader pricing

Pricing policy for retailers that have brand name items at re…

division

divide or partition

division sentence

repeated subtraction

operation with two numbers that tell you how much you have an…

separate a number into equal groups

number sentence that uses division

subtract equal groups until you get to zero

division

operation with two numbers that tell you how much you have an…

divide or partition

separate a number into equal groups

common denominator

common multiple

equivalent fractions

mixed number

a common multiple of two or more denominators

a number that is a multiple of two or more numbers

two or more fractions that name the same amount

a number represented by a whole number and fraction

common denominator

a common multiple of two or more denominators

common multiple

a number that is a multiple of two or more numbers

sum

compare

approximate

tenths place

the answer from addition

to determine whether values are greater than, less than, or e…

not exact but close enough to be reasonably correct.

one place to the RIGHT of the decimal place (.3)

sum

the answer from addition

compare

to determine whether values are greater than, less than, or e…

Concurrent lines

point of concurrency

circumeter

incenter

three or more lines that intersect at a common point

the point of intersection of concurrent lines

the point of concurrency of the perpendicular bisectors of a…

the point of concurrency of the angle bisectors of a triangle

Concurrent lines

three or more lines that intersect at a common point

point of concurrency

the point of intersection of concurrent lines

Concurrent lines

point of concurrency

circumeter

incenter

three or more lines that intersect at a common point

the point of intersection of concurrent lines

the point of concurrency of the perpendicular bisectors of a…

the point of concurrency of the angle bisectors of a triangle

Concurrent lines

three or more lines that intersect at a common point

point of concurrency

the point of intersection of concurrent lines

Euler circuit

Euler path

Fleury's algorithm

Eulerizarion

All vertices are even, start and end at the same spot

Has 2 odd vertices, start at one vertice end at the other

Cross bridges last, approximate

Add duplicate edges to make a circuit (start and end at same…

Euler circuit

All vertices are even, start and end at the same spot

Euler path

Has 2 odd vertices, start at one vertice end at the other

coordinate plane

origin

complementary angles

supplementary angles

a plane formed by the intersection of a horizontal number lin…

the point where the x-axis and the y-axis intersect on a plane

two angles whose measures at to 180 degrees

two angles whose measures have the sum of 180 degrees

coordinate plane

a plane formed by the intersection of a horizontal number lin…

origin

the point where the x-axis and the y-axis intersect on a plane

Markup

different between markup and markon

Keystone markup

Markup %＝

The amount added to the cost of goods to achieve the retail p…

Markup is most commonly applied to the amount added to cost t…

markup that doubles the invoiced cost of the merchandise. ret…

Markup% = $markup / $Retail

Markup

The amount added to the cost of goods to achieve the retail p…

different between markup and markon

Markup is most commonly applied to the amount added to cost t…

Scale drawing

Similar polygons

Indirect measurement

Unit cost

Enlarged or reduced drawing of an object that is similar to t…

Angles have same measure and sides are proportional

Uses proportions and similar triangles to measure distances t…

Rate that gives price for one

Scale drawing

Enlarged or reduced drawing of an object that is similar to t…

Similar polygons

Angles have same measure and sides are proportional

estimate the sum or difference

UNALIKE FRACTIONS

RELATED FRACTIONS

UNLIKE FRACTIONS

think of each fraction relationship to m0, 1/2 or 1by compari…

ARE FRACTIONS WITH DIFFERENT DENOMINATORS (DIFFERENT PARTS IN…

ARE FRACTIONS IN WHICH ONE DENOMINATOR IS A MULTIPLE OF THE O…

UNLIKE DENOMINATORS ARE NOT RELATED, RENAME BOTH FRACTIONS BE…

estimate the sum or difference

think of each fraction relationship to m0, 1/2 or 1by compari…

UNALIKE FRACTIONS

ARE FRACTIONS WITH DIFFERENT DENOMINATORS (DIFFERENT PARTS IN…

Route Problem

Optimal Route

Pass through requirement

Exhaustive Routes

Ways to Route the delivery of goods and services to an assort…

the BEST route that pertains to cost (time, distance)

requirement that route must pass through a specific set of co…

the requirement that every street, bridge, lane, etc, must be…

Route Problem

Ways to Route the delivery of goods and services to an assort…

Optimal Route

the BEST route that pertains to cost (time, distance)

Plurality

Instant Runoff

Borda Count

Pairwise Comparison

Each person votes for his or her favorite choice. The candida…

Each person votes for his or her favorite choice. If a candid…

With k candidates, each voter ranks all the candidates... Giving…

Each voter ranks all the candidates as first choice, second c…

Plurality

Each person votes for his or her favorite choice. The candida…

Instant Runoff

Each person votes for his or her favorite choice. If a candid…