## Glossary of Jags Math Flash

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- (a x b) x c = a x (b x c)
- Associative Property

- 1 cup =________oz
- 8 ounces

- 1 day =__________hrs
- 24

- 1 gal = _________qts
- 4 quarts

- 1 hour = _________min
- 60

- 1 lb =___________oz
- 16

- 1 min=__________sec
- 60

- 1 pt =_____c
- 4 cups

- 1 qt = ________pts
- 2 pts

- 1 yard =_______ft
- 3 feet

- 1 year =_________days
- 365

- 1/2 =_________%
- 50%

- 1/3=____%
- 33.30%

- 1/4=___________________%
- 25%

- 2/3=___%
- 66.60%

- 25,000 in expanded notation
- (2 x 10,000) + (5 x 1000)

- 3/4=__________%
- 75%

- -5 o 3
- Less than

- a + b = b + a
- Commutative Property

- a.m
- used to show time between midnight and noon

- Absolute Value
- The distance from 0 on a number line

- Acute angle
- An angle that measures less than 90 degrees, less than a right angle

- addend
- a number that is added in an addition problem

- Additive Inverse
- An example is 7 + (-7) = 0

- Adjacent
- "Close to or next to something

- algebraic expression
- A mathematical phrase involving a variable or variables, numbers, and operations.

- Alternate
- "To take turns doing something

- Approximately
- "Close to; almost exactly.

- Associate Property
- The addition or multiplication of a set of numbers is the same regardless of how the numbers are grouped.

- Associative Property of Addition
- The property that states that you can group addends in different ways and still get the same sum

- Associative Property of Multiplication
- the way that factors are grouped does not change the product

- average
- the sum of addends divided by the number of addends

- benchmark
- A reference number that can be used to estimate the size of other numbers. Working with fractions, 0, ¼, ½ are good benchmarks

- Calculate
- "To find an answer to something by using math (addition, subtraction, multiplication or division.

- CENTIMETER
- a metric unit of measure 100 centimeters=1 meter

- century
- A measure of time equal to 100 years

- certain
- to be sure or definite

- circle
- a closed plane figure with all the points the same distance from center

- Combination
- "To bring things together in a single whole or substance. To unite something.

- Commutative Property of Addition
- The property that states that when the order of two addends is changed, the sum is the same

- Commutative Property of Multiplication
- The property that states that when the order of two factors is changed, the product is the same

- compatible numbers
- Numbers easy to compute mentally.

- Complementary angles
- Add up to 90 degrees

- complementary angles =___degrees
- 90

- Complex
- "Difficult to understand. Something that is made up of many connected parts.

- composite number
- A number exactly divisible by at least one whole number other than itself and 1.

- Congruent
- All sides and angles are the same - same size, same shape

- CONGRUENT FIGURES
- figures exactly alike in size and shape

- Consecutive
- "following one right after the other.

- Convert
- "To change something from one from or shape to another.

- cube
- a space figure with 6 congruent faces, 8 vertices, and 12 equal edges

- cumulative frequency
- A running total of items being counted

- cup, c
- a customary unit of capacity

- decade
- A measure of time equal to 10 years

- decimal number
- a number containing a decimal point

- decimal point
- a dot separating the ones and tenths places in a decimal number

- Decrease
- "To make something less or smaller.

- denominator
- the bottom number in a fraction,it shows the number of equal size parts into which the whole is split

- Diagram
- "A drawing or chart that shows how something works.

- difference
- the answer to a subtraction problem

- digits
- any one of the following ten numerical symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

- Disjoint
- 2 sets with no elements in common. 2 sets A and B are disjoint if their intersection is empty

- Distributive Property
- The property that states that multiplying a sum by a number is the same as multiplying each addend b the number and then adding the products An example is 8(2 + 6) = 8(2) + 8(6

- dividend
- number being divided

- A number is divisible by 2 if.."
- "its units digit is divisible by 2

- An integer is divisible by 3 if..."
- "the sume of its digits is divisible by 3.

- An integer is divisible by 4 if..."
- "its last two digits form a number thats divisible by 4.

- An integer is divisible by 6 if...."
- "its divisible by both 2 and 3.

- An integer is divisible by 9 if"
- "the sum of its digits is divisible by 9.

- divisible
- Capable of being divided so that the quotient is a whole number and the remainder is zero

- divisor
- number you divide by

- An integer is divisible by 5 if..."
- its units digit is either 0 or 5.

- elapsed time
- The time that passes from the start of an activity to the end of that activity

- Empty Set
- a set that has no elements

- endpoint
- a point at the end of a line segment or ray

- equally likely
- outcomes having the same chance of happening

- equation
- A number sentence which shows that two quantities are equal

- estimate
- To give an approximate value rather the exact answer.

- even*even=
- even

- even*odd=
- even

- even+even=
- even

- even+odd=
- odd

- expanded form
- 2,495 = 2,000 + 400 + 90 + 5

- expression
- A part of a number sentence that combines numbers and operation signs but does not have an equal sign

- face
- a flat surface on a space figure

- fact family
- A set of related multiplication and division or addition and subtaction equations, all related +/- or x/- facts that use the same numbers

- Factor
- Number that divides another number without a remainder

- factors
- Numbers that are multiplied to get a product

- FOOT
- unit of measure 12 inches=1 foot

- Formula for percentage increase/decrease?
- Percentage change = ((difference between new and original)/original )* 100

- fraction
- a number to show part of a whole object.

- frequency
- The number of times an event ocurs

- front-end digit
- the digit in the place with the greatest value

- front-end estimation
- an estimation made using the front-end digit of a number

- GCF
- Largest common factor of 2 or more numbers

- hexagon
- a polygon with 6 sides and 6 vertices

- How do you know if number x is divisible by number y?
- "If number x is divisible by number y , number y goes into number x evenly.

- hundredths
- the name of the second place after the decimal point

- Identity Property of Addition
- The property that states that when you add zero to any number, the sum is that number

- Identity Property of Multiplication
- The property that states that the product of any number and 1 is that number

- improper fraction
- a fraction in which the numerator is larger than the denominator - such as 5/2

- INCH
- unit of measure 12 inches=1 foot

- Integers
- The set of positive whole numbers, their opposites,(negatives) and zero

- Intersection of 2 Sets
- elements that are in set A and B

- interval
- The difference between two numbers on the sale of a graph

- inverse operations
- 2 operations with the opposite effect like multiplication and division Opposite operations that undo each other, such as addition and subtraction or multiplication and division

- irrational
- any # that can NOT be written in form of fraction

- Irrational Numbers
- non-terminating, non-repeating decimals like the square root of 2 or Pi. all non-perfect squares are irrational.

- kilogram (kg)
- a metric unit of mass

- Line
- Infinite number of points extending in opposite directions without end

- line graph
- a graph used to show how data changes over time

- LINE OF SYMMETRY
- a line that divides a figure into two equal parts--each side looks exactly alike

- line plot
- A graph that shows the frequency of data along a number line

- mean
- The number found by dividing the sum of the set of numbers by the number of addends

- median
- the middle number when numbers are arranged from least to greatest

- METER
- "a metric unit of measure - a metric unit of length/distance

- millions
- The period after thousands

- mirror image
- the reverse image of a figure

- mixed number
- a combination of a whole number and a fraction - is the sum of a the whole number and the fraction

- mode
- The number (s) or item(s)that occurs with the greatest frequency in a set of data

- multiple
- The product of a given whole number and another whole number

- multistep problem
- A problem requiring more than one step to solve

- Natural Numbers
- numbers as you would count. {1,2,3,...)

- numerator
- the top number in a fraction; how many equal parts are being considered

- obtuse angle
- an angle greater than a right angle

- octagon
- a polygon having eight sides

- odd*odd=
- odd

- odd+odd=
- even

- Opposities
- An example are 3 and -3 because each are three units from 0 on a number line, but in different directions - 2 numbers that have a sum of 0

- Order of Operations
- The rules are to work inside grouping symbols, then multiply and divide in order from left to right, and finally to add and subtract in order from left to right

- ORDERED PAIR
- two numbers in a specific order used to locate a point on a grid

- Origin
- Zero point on a number line - (0,0)

- ounce (oz)
- a customary unit of mass

- outcome
- a result of a probability experiment

- Outlier
- A data item that is much higher or much lower than the other numbers

- P - 24 = 17
- 41

- Parallel Lines
- Two lines on a plane that do not intersect and remain the same distance apart

- parallelogram
- a quadrilateral that has both pairs of opposite sides congruent and parallel

- pentagon
- a polygon with five sides

- period
- a group of 3 digits in a number separated by a comma from the other digits

- perpendicular
- 2 lines that intersect and form right angles

- plane figure
- any 2-dimensional figure

- plot
- to place or draw in, as is "plot" the coordinates

- POLYGON
- a simple closed figure in a plane formed by three or more line segments - using an ordered pair to locate a point on a grid

- prime number
- A whole number greater than 1 whose only factors are 1 and itself.

- Prime Numbers up to 30
- A number that has only two factors: 1 and itself

- probability
- "2,3,5,7,11,13,17,19,23,29

- product
- answer when multiplying

- Property of 1 for Division
- any number divided by 1 is that number

- proportion
- "equation that states 2 ratios (fractions) are equal

- quadrilateral
- a polygon with four sides

- quotient
- the answer to a division problem

- range
- In statistics, the difference between the largest and smallest values in a sample.

- rational
- any # that can be written in form of fraction

- Rational Numbers
- A number that can be expressed as a fraction or ratio (rational).The numerator and denominator are both integers and can be either positive or negative.

- real
- all irrational and rational #s

- Real Numbers
- Rational numbers in union with(in addition to) irrational numbers

- rectangle
- a quadrilateral with opposite sides congruent and parallel all all angles are at a right angle

- regular polygon
- a polygon having all sides congruent and all angles congruent

- remainder
- The amount left over when a number cannot be divided evenly

- repeating decimal
- A decimal in which a digit or a set of digits repeat infinitely.

- rhombus
- a parallelogram with all sides congruent

- right angle
- an angle that measures 90 degrees - an angle with the shape of a square corner

- rotational geometry
- a figure that can be turned or rotated less than 360 degrees about a fixed point so that the figure looks exactly as it did before being turned is said to have rotational symmetry

- round
- To replace a number with another number that tells about how many or how much

- Rounding Numbers
- Numbers that are easy to compute mentally

- scale
- The numbers placed at fixed distances on a graph to help label the graph

- scalene triangle
- a triangle in which no sides are congruent

- second
- A small unit of time; 60 seconds = 1 minute

- Segment
- Part of a line with two endpoints

- Set
- any collection of objects or elements

- side
- a ray that is part of an angle

- SIMILAR SHAPES
- figures that are alike in shape, but may be a different size

- similarity
- Having the same shape, but not necessarily the same size.

- Singleton Set
- a set having exactly 1 element

- Solution Set
- set of all elements from the domain that make the statement true.

- space figure
- a figure with 3 dimensions

- sphere
- a three-dimesional figure with a curved surface that is shaped like a ball

- square
- a parallelogram with all sides congruent all angles right angles and opposite sides parallel

- square number
- The product of a number and itself

- square root
- One of two equal factors of a number

- Subset
- A is a subset of B IFF every element of A is also in B

- sum
- answer when adding

- sum of angles of square
- 360

- sum of angles of triangle
- 180

- supplementary angles
- Add up to 180 degrees

- supplementary angles = __degrees
- 180

- survey
- A method of gathering information to record data

- teaspoon (tsp)
- a customary unit of capacity

- tenths
- the name of the first place after the decimal point

- terminating decimal
- A decimal with a finite number of digits.

- trapezoid
- a quadrilateral with 1 pair of parallel sides and 1 pair of sides that are not parallel

- trends
- On a graph, areas where the data increase, decrease, or stay the same over time

- turn (rotation)
- a transformation of a figure by turning it

- Union of 2 Sets
- union of 2 sets A and B is the set of all elements that are in set A or B

- variable
- A letter or symbol that stands for a number or numbers

- What are consecutive integers?
- Consecutive simply means in order by either increasing or decreasing size. A set of consecutive integers might look like this: {-3,-2,-1,0,1,2...} A set of consecutive even integers might look like this: {-4,-2,0,2,4,6...} A set of consecutive m

- what are the factors of 15
- 1, 3, 5

- what are the multiples of 6
- 6, 12, 18, 24...

- What are the numbers you add together called?
- addend

- What does distinct mean?
- Distinct is just a mathematical term for 'different'. If a question stipulates that a and b are distinct integers, they can't have the same value. For example, the distinct prime factors of 72 are 2 and 3 because you only want to count one 2 and one 3.

- What is a digit?
- There are only 10 digits (0 through 9), from which we make an infinite number of numbers. For example, 305 is a three-digit number. 3 is the hundreds digit, 0 is the tens digit, and 5 is the ones or units digit.

- What is a factor?
- If one number divides evenly into another, then the first number is a factor of the second. For example, 3 is a factor of 12. The pairs of numbers whose product is 12 are: 1 x 12, 2 x 6, 3 x 4. Therefore, the factors of 12 are: {1,2,3,4,6, and 12}.

- What is a multiple?
- "A multiple of a number is the product of that number and any other whole number.

- What is a prime number?
- "Prime numbers are divisible by only themselves and 1. By definition, 1 is NOT prime. Also, only positive numbers are prime.

- What is a remainder?
- "If a number is not divisible by another, there will be a remainder left over.

- What is an integer?
- An integer is a number that is neither a fraction nor a decimal. Think of integers as counting numbers that you see on a number line. Zero is also an integer

- What is the answer of a division problem called?
- quotient

- What is the answer of a subtraction problem?
- difference

- What is the answer to a multiplication problem?
- product

- What is the formula for area of a circle?
- "Pi r squared"

- What is the formula for area of a rectangle?
- A = L * W

- What is the formula for area of a triangle?
- A = 1/2 B * H

- What is the formula for circumference of a circle?
- Pi x D

- What is the result of addition?
- sum

- whole
- natural #s and 0

- Whole Numbers
- Natural numbers plus {0}

- word form
- a number written in words

- x-axis
- horizontal number line

- YARD
- "unit of measure

- y-axis
- vertical number line

- Zero Property of Multiplication
- The property that states that the product of 0 and any number is 0

- base ten number system
- This is our common number system. It’s also called the “decimal” system.

It uses ten symbols (or digits) to count. Digit also means “finger”, and we have 10 fingers. The digit zero holds the place for an empty column, and the digits 1 to 9 tell how many ones, tens, hundreds, etc. are in any particular column.

- Decimal / Decimal Fraction
- To write numbers as decimals we use only 10 and powers of ten as denominators.

Writing fractions this way saves us from writing the denominators because they are understood. When we write 375/1,000 as a decimal (0.375) the denominator of 1,000 is understood

- Equivalent fractions
- Fractions equal in value, but may have different numerators and denominators.

2/3 and 14/21 are equivalent

- percent
- A percent is the number of parts out of 100 of something. For example, a quarter (25 cents) is 25 percent of a dollar (100 cents). fraction 25/100 is 25%. To convert a decimal number, like .72 to a percent, you just multiply it by 100. So the decimal .72 becomes (100 X .72) = 72 percent.

- ratio
- The ratio of 2 numbers is the first number divided by the second number. For example, the ratio of 8 to 4 is 2.

- Unit fraction
- A unit fraction is a fraction with a numerator of 1.

Examples of unit fractions include 1/2, 1/3, 1/12.