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6th Grade Math Vocabulary Journal Words
Terms in this set (65)
Associative Property of Addition
The grouping of addends does not affect their sum.
In symbolic form, a + (b + c) = (a + b) + c.
Unlike addition, subtraction is not associative.
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.
Unlike multiplication, division is not associative.
Addends
One of two or more numbers that are added to find a sum.
3 + 5 = 8
3 and 5 are the addends.
Commutative Property of Addition
Changing the order of addends does not affect their sum. In symbolic form a + b = b + a.
Unlike addition, subtraction is not commutative.
Identity Property of Addition
The sum of any number and zero is equal to the initial number.
Difference
The result of subtraction.
7 - 5 = 2
2 is the difference.
Factors
Numbers that are multiplied together
Product
The result of multiplication.
5 x 4 = 20
The product of 5 and 4 is 20.
Identity Proprty of Multiplication
The product of any number and 1 is equal to the initial number.
a x 1 = a
94 x 1 = 94
Zero Property of Multiplication
Zero times any number is zero.
0 x a = 0
0 x 30 = 0
Quotient
The result of division.
12/4 = 3
3 is the quotient.
Dividend
A number that is divided.
12/4 = 3
12 is the dividend.
Divisor
A number by which another number is divided.
12/4 = 3
4 is the divisor.
Equation
A statement that uses the symbol "=" to show that two quantities are equal.
3 + 4 = 5 + 2 is an equation
3 > 2 is NOT an equation
Unknown
A value that is not given.
A letter is commonly used to stand for an unknown number.
3a = 18
"a" is the unknown.
Fraction
A number that names part of a whole.
1/4 is a fraction.
Denominator
The bottom term in a fraction.
2/5 5 is the denominator
Numerator
The top term in a fraction.
2/5 2 is the numerator
Segment
A part of a line with two distinct endpoints.
Endpoint
A point at which a segment ends.
Line
A straight collection of points extending in opposite directions without end.
Ray
A part of a line that begins at a point and continues without end in one direction.
U.S. Customary System
A system of measurement used almost exclusively in the United States.
Pounds, quarts, and feet are units in the U.S. Customary System.
Metric System
An international system of measurement based on multiples of ten.
Also called the International System.
Centimeters and kilograms are units in the Metric System.
Perimeter
The distance around a closed, flat shape.
Number Line
A line for representing and graphing numbers. Each point on the line corresponds to a number.
Counting Numbers
The numbers used to count; the numbers of the set {1, 2, 3, 4, 5, ...}.
Also called natural numbers.
Whole Numbers
The members of the set {0, 1, 2, 3, 4, ...}.
0, 25, 134 are whole numbers.
-3, 0.56, 100 1/2 are NOT whole numbers.
Negative Numbers
Numbers less than zero.
-15 and -2.86 are negative numbers.
19 and 0.74 are NOT negative numbers.
Compare
To look at similarities and differences.
Equal Sign
A symbol that shows two amounts have the same value.
"="
Greater Than Symbol
Symbol used to show that one side of an equation is larger that the other.
">"
Less Than Symbol
Symbol used to show that one side of an equation is smaller that the other.
"<"
Sequence
A list of numbers arranged according to a certain rule.
The numbers 2, 4, 6, 8, ... form a sequence. The rule is "count up by twos."
Term
A number in a sequence.
Addition Sequence
A list of numbers arranged according to an addition rule.
Multiplication Sequence
A list of numbers arranged according to a multiplication rule.
Even Numbers
Numbers that can be divided by two without a remainder; the members of the set {..., -4, -2, 0, 2, 4, ...}.
Even numbers have 0, 2, 4, 6, or 8 in the ones place.
Odd Numbers
Numbers that have a remainder of 1 when divided by 2; the members of the set {..., -3, -1, 1, 3, ...}.
Odd numbers have 1, 3, 5, 7, or 9 in the ones place.
Frequency Table
Displays the number of times a value occurs in data.
Bar Graph
Displays numerical information with shaded rectangles and bars.
Histogram
A method of displaying a range of data. A histogram is a special type of bar graph that displays data in intervals of equal size with no space between bars.
Survey
A method of collecting data about a particular population.
Sample
A smaller group of a population that a survey focuses on.
Closed-option Survey
A survey in which the possible responses are limited.
Open-option Survey
A survey that does not limit the possible responses.
Place Value
The value of a digit based on its position within a number.
Operations of Arithmetic
The four basic mathematical operations: addition, subtraction, multiplication, and division.
Positive Numbers
Numbers greater that zero.
0.25 and 157 are positive numbers.
-40 and 0 are NOT positive numbers.
Opposites
Two numbers whose sum is 0.
(-3) + (3) = 0
Integers
The set of counting numbers, their opposites, and zero; the members of the set {..., -2, -1, 0, 1, 2, ...}.
-57 and 4 are integers. 15/8 and - 0.98 are NOT integers.
Circle Graph
A method of displaying data, often used to show information about percentages or part of a whole. A circle graph is made of a circle divided into sectors.
Circumference
The perimeter of a circle.
Clockwise
In the direction that the hands of a clock move.
Counterclockwise
In a direction opposite to the direction in which the hands of a clock move.
Diameter
The distance across a circle through its center.
Formula
A standard procedure for solving a mathematical problem.
Horizontal Axis
The x axis in a coordinate system. The horizontal axis locates points to the left or to the right of the origin (0,0).
Improper Fraction
A fraction with a numerator equal to or greater than the denominator.
All improper fractions are greater than or equal to 1.
Proper Fraction
A fraction with a numerator less that the denominator.
All proper fractions are less than 1.
Rotational Symmetry
A figure has rotational symmetry when it does not require a full rotation for the figure to look as if it re-appears in the same position as when it began the rotation.
A square has rotational symmetry.
Stem-and-Leaf Plot
A method of graphing a collection of numbers by placing the "stem" digits (or initial digits) in one column and the "leaf"digits (or remaining digits) out to the right.
Symbol for Approximate
≈
An estimation of a number.
Vertical Axis
The y axis in a coordinate system. The vertical axis locates points above and below the origin (0,0).
Vertex
A point of an angle, polygon, or polyhedron where two or more lines, rays, or segments meet.
Plural: vertices
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