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Math Vocab 6th Grade
Lessons 1-20 & Investigations 1 & 2
Term | Definition |
---|---|
Addends | One of two or more numbers that are added to find a sum |
Counting numbers | The numbers used to count; the members of the set {1,2,3,4,5,...}. Also called natural numbers. |
Decimal point | The symbol in a decimal number used as a reference point for place value. |
Difference | The result of subtraction. |
Dividend | A number that is divided. |
Divisor | A number by which another number is divided; a factor of a number. |
Evaluate | To find the value of an expression |
Factors | One of two or more numbers that are multiplied; a whole number that divides another whole number without a remainder; to write as a product of factors |
Minuend | A number from which another number is subtracted |
Natural numbers | The numbers used to count; the members of the set {1,2,3,4,5,...}. Also called counting numbers |
Operations of Arithmetic | The four basic mathematical operations; addition, subtraction, multiplication, and division. |
Product | The result of multiplication. |
Quotient | The result of division. |
Subtrahend | A number that is subtracted. |
Sum | The result of addition. |
Variable | A quantity that can change or assume different variables. |
Whole numbers | The numbers of the set {0,1,2,3,4,...}. |
Align | To arrange in a line. |
Additive Identity | The number 0. The sum of any number and 0 is equal to the initial number. In symbolic form, a + 0 = a. |
Associative Property of Addition | The grouping of addends does not affect their sum. In symbolic form a + (b + c) = (a + b) +c. |
Associative Property of Multiplication | The grouping of factors does not affect their product. In symbolic form a x (b x c) = (a x b) x c. |
Commutative Property of Addition | Changing the order of addends does not change their sum. a + b = b = a |
Commutative Property of Multiplication | Changing the order of factors does not change their product. a x b = b x a |
Fact Family | A group of numbers related by addition and subtraction or by multiplication and division. Four mathematical fact statements can be formed using the numbers in a fact family. |
Identity Property of Addition | The sum of any number and 0 is equal to the initial number. a + 0 = a |
Identity Property of Multiplication | The product of any number and 1 is equal to the initial number. a x 1 = a |
Inverse Operations | Operations that undo one another. |
Multiplicative Identity | The number 1. |
Zero Property of Multiplication | Zero times any number is zero. 0 x a = 0 |
Equation | A statement that uses the symbol "=" toe how that two quantities are equal. |
Variable | A quantity that can change or assume different values. Also, a letter used to represent an unknown in an expression or equation. |
Unknown | A variable, or the quantity it represents. |
Compare | Looking at two numbers to find out if one number is greater than, less than, or equal to another number. |
Comparison Symbol | The symbol used to show the comparison of two numbers: greater than (>), less than (<), or equal (=). The pointed end of the symbol points to the lesser number. |
Geometric Sequence | A sequence whose terms share a common ratio. In the sequence {2,4,8,16,32,...} each term can be multiplied by 2 to find the next term. |
Integers | The set of counting numbers, their opposites, and zero; the members of the set {...,-2,-1,0,1,2,...}. |
Negative Numbers | Numbers less than zero |
Number Line | A line for representing and graphing numbers. Each point on a line corresponds to a number. |
Origin | The location of the number 0 on a number line; the point (0,0) on a coordinate plane. |
Perfect squares | The product when a whole number is multiplied by itself. |
Positive numbers | Numbers greater than zero |
Sequence | A list of numbers arranged according to a certain rule |
Terms | A numbers that serves as a numerator or denominator of a fraction; one of the numbers in a sequence; a constant or variable expression composed of one or more factors in an algebraic expression |
Infinite | Endless |
Expanded Notation | A way of writing a number as the sum of the products of the digits and the place values of the digits. |
Place value | The value of a digit based on its position within a number. |
Divisible | Able to be divided by a whole number without a remainder |
Divisibility Tests | Testing the divisibility of a number without actually dividing |
Greatest Common Factor (GCF) | The largest whole number that is a factor of two or more indicated numbers |
Factors | One of two or more numbers that are multiplied; a whole number that divides another whole number without a remainder; to write as a product of factors |
Acute angle | an angle whose measure is between 0 degrees and 90 degrees |
Angle | The opening that is formed when two lines, rays, or segments intersect |
Geometry | A major branch of arithmatics that deals with shapes, sizes, and other properties of figures. |
Intersect | to share a common point or points |
Line | a straight collection of points extending in opposite directions |
Oblique lines | lines that are neither vertical or horizontal |
Obtuse angle | an angle whose measure is between 90 degrees and 180 degrees |
Parallel lines | lines in the same planethat do not intersect |
Perpendicular lines | Two lines that intersect at right angles |
Plane | In geometry, a flat surface that has no boundaries |
Point | An exact position on a line, on a plane, or in space |
Ray | A part of a line that begins at a point and continues without end in one direction |
Right angle | An angle that forms a square corner and measures 90 degrees, often marked with a small square |
Segment | A part of a line with two distinct endpoints |
Skew lines | In 3-dimensional space, lines that do not intersect and are not in the same plane |
Straight lines | shortest difference between any two points on a plane |
Vertex | A point of an angle, polygon, or polyhedron where two or more lines, rays, or segments meet |
Oblique | Indirect or evasive, slanting |
Denominator | The bottom term of a fraction |
Fractions | A number that names part of a whole |
Mixed number | A whole number and a fraction together |
Numerator | The top term of a fraction |
Percents | A fraction whose denominator of 100 is expressed as a % sign |
Common denominator | A common multiple of the denominators of two or more fractions |
Inverse Property of Multiplication | The product of a number and its reciprocal equals 1 |
Reciprocal | Two numbers whose product is 1 |
Adjacent | Next to |
Convert | To change in the form of a measurement or different units, without a change in the size or amount |
Improper Fractions | A fraction with a numerator equal to or greater than the denominator |
Probability | A way of describing the likelihood of an event; the ratio of favorable outcomes to all possible outcomes |
Complement of an event | All outcomes that are not the event |
Equivalent fractions | Different fractions that name the same amount |
Lowest terms | When the only common factor of the numerator and denominator is 1 |
Terms | numbers that serve as numerators or denominators in fractions; one of the numbers in a sequence; a constant or variable expression composed of one or more factors in an algebraic expression |
Function | The rule for using one number (an input) to calculate another number (an output) |
U.S. Customary System | A system of measurements used almost exclusively in the United States |
Capacity | The amount a container can hold when filled |
12 inches | 1 foot |
3 feet | 1 yard |
1,760 yards | 1 mile |
5,280 feet | 1 mile |
8 ounces | 1 cup |
2 cups | 1 pint |
2 pints | 1 quart |
4 quarts | 1 gallon |
212 degrees Fahrenheit | Temperature at which water boils |
98.6 degrees Fahrenheit | Normal body temperature |
68 degrees Fahrenheit | Room temperature |
32 degrees Fahrenheit | Temperature at which water freezes |
Degrees | Units for measuring angles; units for measuring temperatures |
Protractor | A tool that is used to measure and draw angles |
Vertex | A point of an angle, polygon,or polyhedron where two or more lines, rays, or segments meet |
Congruent | Having the same size and shape |
Corresponding parts | Sides or angles of similar polygons that occupy the same relative positions |
Polygon | A closed, flat shape with straight sides |
Regular polygon | A polygon in which all sides have equal length and all angles have equal measures |
Similar | Having the same shape but not necessarily the same size, corresponding parts are proportional |
Perimeter | The distance aroun a closed, flat shape |
Area | The size of the inside of a flat shape, measured in square units |
Base | A designated side (or face) of a geometric figure; the lower number in an exponential expression |
Exponent | The upper number in an exponential expression that shows how many times the base is to be used as a factor |
Exponential expressions | An expression that indicates that the base is sot be used as a factor the number of times shown by the exponent |
Square root | One of two equal factors of a number |
Area formula for a rectangle | length x width |
Area formula for a square | side x side |
Arc | Part of a circle |
Center | The point inside a circle or sphere from which all points on the circle or sphere are equally distant. |
Central angle | An angle whose vertex is the center of the circle. |
Chord | A segment whose endpoints lie on a circle. |
Circle | A closed, curved shape in which all points on the shape are the same distance from its center. |
Circumference | The perimeter of a circle |
Compass | A tool used to draw angles and arcs |
Concentric circles | Two or more circles with a common center |
Diameter | The distance across a circle through its center |
Hexagon | Six-sided polygon |
Inscribed | A polygon within another shape when all points of the polygon lie within the other shape, and all of the polygon's vertices lie on the other shape. |
Radius (radii) | The distance from the center of the circle or sphere to a pony on the circle or sphere. |
Semicircle | A half circle |