a number in the base-10 place value system used to represent a quantity that may include part of a whole and is recorded with a decimal point separating the whole from the part

any numeral from 0 – 9

the representation of a number as a sum of place values (e.g., 985,156,789 as 900,000,000 + 80,000,000 + 5,000,000 + 100,000 + 50,000 + 6,000 + 700 + 80 + 9)

to arrange a set of numbers based on their numerical value

a three-digit grouping of whole numbers where each grouping is composed of a ones place, a tens place, and a hundreds place, and each grouping is separated by a comma

the value of a digit as determined by its location in a number such as ones, tens, hundreds, one thousands, ten thousands, etc.

the representation of a number using digits (e.g., 985,156,789.78)

a linear model used to illustrate number relationships

the set of counting (natural) numbers and zero {0, 1, 2, 3, ..., n}

the representation of a number using written words (e.g., 985,156,789 as nine hundred eighty-five million, one hundred fifty-six thousand, seven hundred eighty-nine; 985,156,789.78 as nine hundred eighty-five million, one hundred fifty-six thousand, seven hundred eighty-nine and seventy-eight hundredths)

a mathematical statement composed of algebraic and/or numeric expressions set equal to each other

reasoning to determine an approximate value

payment for goods and services

an establishment that focuses on dealing with financial transactions such as investments, loans, and deposits

money earned or received

money that is made in a business after all the costs and expenses are paid

a type of estimation with specific rules for determining the closest value

the total when two or more factors are multiplied

efficient application of procedures with accuracy

a number multiplied by another number to find a product

if multiplying a number by a sum of numbers, the product will be the same as multiplying the number by each addend and then adding the products together; a × (b + c) = (a × b) + (a × c)

if the order of the factors is changed, the product will remain the same; a × b = c; therefore, b × a = c

if three or more factors are multiplied, they can be grouped in any order, and the product will remain the same; a × b × c = (a × b) × c = a × (b × c)

the size or measure of each group or the number of groups when the dividend is divided by the divisor

the number the dividend is being divided by

the number that is being divided

expenses that are consistent from month to month

a table which represents how the application of a rule on a value, input, results in a different value, output

an expression describing the relationship between the input and output values in a pattern or sequence

a list of numbers or a collection of objects in a specific order that follows a particular pattern or rule

expenses that vary in cost from month to month

fractions that have the same value

a number in the form where a and b are whole numbers and b is not equal to zero. It can be used to name part of an object, part of a set of objects, to compare two quantities, or to represent division.

• a number in the form where a and b are whole numbers and a > b where b is not equal to zero

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

the smallest multiple that two or more numbers have in common

the least common multiple of the numerators of two or more fractions

a number that is composed of a whole number and a fraction

the part of a fraction written above the fraction bar that tells the number of fractional parts specified or being considered

the part of a fraction written below the fraction bar that tells the total number of equal parts in a whole or set

a number in the form where a and b are whole numbers and a < b where b is not equal to zero

a fraction in the form representing the quantity formed by one part of a whole that has been partitioned into b equal parts where b is a non-zero whole number

data that represents the attributes of a group of people, events, or objects

information that is collected about people, events, or objects

a graphical representation to organize small sets of data that uses dots (or Xs) and an axis to show the frequency (number of times) that each category or number occurs

a table to organize data that lists categories and the frequency (number of times) that each category occurs

a visual representation of the relationships between data collected

data that represents values or observations that can be measured and placed in ascending or descending order

a graphical representation used to analyze and compare groups or clusters of numerical data by separating the digits in numerical values based on place value.

the measurement attribute that describes the number of square units a figure or region covers

a change from one measurement unit to another measurement unit without changing the amount

lines that meet or cross at a point

the measurement attribute that describes a continuous distance from end to end

a set of points that form a straight path that goes in opposite directions without ending

the measurement attribute that describes the amount of space that a liquid or dry, pourable material takes up, typically measured using standard units of capacity

the measurement attribute that describes the amount of matter in an object (mass remains constant, regardless of location)

lines that lie in the same plane, never intersect, and are always the same distance apart

a linear measurement of the distance around the outer edge of a figure

lines that intersect at right angles to each other to form square corners

the measurement attribute that describes how heavy an object is, determined by the pull of gravity on the object (weight depends upon location)

an angle that measures less than 90°

a triangle in which each of the three angles is acute (less than 90°)

two non-overlapping angles that share a common vertex and exactly one ray

two rays with a common endpoint (the vertex)

of equal measure, having exactly the same size and same shape

the measure of an angle where each degree represents of a circle

line dividing an image into two congruent parts that are mirror images of each other

an angle that measures greater than 90° but less than 180°

a triangle that has one angle that is greater than 90° and two acute angles

a specific location in space

a closed figure with at least 3 sides, where all sides are straight (no curves)

part of a line between two points on the line, called endpoints of the segment

part of a line that begins at one endpoint and continues without end in one direction

• a polygon with all sides and angles congruent

an angle (formed by perpendicular lines) that measures exactly 90°

a triangle with one right angle (exactly 90°) and two acute angles

side marks indicating side lengths of the same measure

an angle that measures 180° (a straight line)

a polygon with three sides and three vertices

a figure with two basic units of measure, usually length and width

angles whose angle measurements are equal

money set aside for future use