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69 Cards in this Set

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Null or Empty Set
When there is nothing that fits what is asked for...

Example: (2,4,6,8,10)

List all the odd numbers

The answer would be a Null or empty set because there are no odd numbers

The symbol for an empty or null set is a circle with a slash through it ∅
Double
Twice as much

Times 2

Multiply by 2

If I have 2 dollars and I double my amount, I now have 4 dollars.

If I have double the amount of video games as Franks and I have 10 video games, he has 5 video games.
Triple
3 times as much

Times 3

Multiply by 3

If I have triple the amount of money that Frank has, and Frank has 5 dollars, I have 15 dollars

If Jim has 30 balloons and that is triple of what I have, then I have 10 balloons.
Quadruple
4 times as much

Times 4

Multiply by 4

I have 3 apples...if I quadruple my number of apples, I now have 12

If Grundy Center has quadruple the number of fire trucks when compared to Gladbrook, and Grundy Center has 4 fire trucks, then Gladbrook has 1 fire truck.
Transitive Property
If A=B and B=C then A has to equal C

If Frank is the same height as Jim, and Jim is the same height as Pedro, then even though they aren't standing side by side, Frank is the same height as Pedro.

If If Ryne Sandberg and Andre Dawson's baseball card are worth the same, and Andre Dawson and Ron Santo's baseball cards are worth the same, then Ryne Sandberg and Ron Santo's baseball cards are worth the same.
Reflexive Property
Anything that equals itself

3 = 3

X = X

3+X = 3 + X
Square Unit
A square where all of the sides are the same unit of measure.

A square inch is a square shape with all its sides being 1 inch long

A square meter is a square with all its sides being 1 meter long

A square mile is a square shape with all sides being a mile long
Cubic Unit
A cube shape with all of the edges being the size of the unit

A cubic inch is a cube shape in which every edge is an inch

A cubic meter is a cube shape in which every edge is a meter

A cubic yard is a cube shape where every edge is a yard
Polygon
Any 2-D (2 dimensional) shape that has straight sides and no open spaces.

Polygon Triangle...Square...many more

Not Polygon-Circle (rounded)

Not Polygon-Shapes that are not closed off
Triangle
Polygon with 3 sides
Quadrilateral
Polygon with 4 sides
Pentagon
Polygon with 5 sides
Hexagon
Polygon with 6 sides
Heptagon
Polygon with 7 sides
Octagon
Polygon with 8 sides
Nonagon
Polygon with 9 sides
Decagon
Polygon with 10 sides
Inverse Operations
Doing the opposite operation with the same number amount

Often used when solving algebra problems

The inverse operation of adding 5 is subtracting 5

The inverse operation of dividing by 7 is multiplying by 7

The inverse operation of subtracting 2 is adding 2

The inverse operation of multiplying by 10 is dividing by 10
Linear Relationship
Pattern of points on a graph that can either be positive, negative, strong, weak, no relationship, or a combination of +/- and strong/weak.
Positive Linear Relationship
Points go from the lower left to the upper right of the graph.
Negative Linear Relationship
Points go from the upper left to the lower right of the graph.
Strong Linear Relationship
Points are close together on a graph.
Weak Linear Relationship
Points are spread out of a graph.
No Linear Relationship
No pattern is found in the points on the graph.
Positive/Strong Linear Relationship
The points are close together flowing from the bottom left to the top right of the graph.
Positive/Weak Linear Relationship
The points are spread out and flow from the bottom left to the top right of the graph.
Negative/Strong Linear Relationship
The points are close together flowing from the top left to the bottom right of the graph.
Negative/Weak Linear Relationship
The points are spread out and flow from the top left to the bottom right of the graph.
Congruent
It means "the same"

Used when talking about two lines or two angles that are the same measurement

-These lines are congruent because they have the same measurements

-These angles are congruent because they are the same degrees
Inequality Symbols
≥ Greater than or equal to

≤Less than or equal to

≠ NOT equal to
Outlier
A piece of information on a graph, chart, or list that doesn't fit with the rest of the information

Examples:

(1,3,2,4,3,2,23) 23 is outlier

Basketball Team Heights

6 ' 7" 6' 5" 5' 6" 6' 4" 6' 6'

5' 6" is the outlier
Meter Measurement Benchmarks
Meter- Metric Unit for Measurement

Liter- Metric Unit for Liquid Measurements

Gram- Metric Unit for Weight/Mass
Rational Numbers
Numbers or Number Phrases that come out evenly

6/3 = 2

Square Root 16=4

5
Irrational Numbers
Numbers or number phrases that don't come out evenly.

1/3= .33333333333333

Square Root 15= 3.9
Century
100 years
Decade
10 years
Midpoint
A halfway point in the middle of a line.

If you are using coordinates, just draw the two points and connect them, then estimate where the middle would be.

(3,4) and (10,5)

If you draw this out and estimate, the midpoint of the lone would be around (6,4) or (6,5)
Repeating Decimal Bar
.3333333 = __
.3

.453453453453 = ____
.453
Origin
The middle of a coordinate plane or grid graph

Represented by the point (0,0)
Annual
Happening once a year

Adding the prefix bi or semi as in biannual or semiannual means twice a year
Chord
A line segment that goes from one point of a circle to another.
Radius
A segment that goes from the outside of a circle to the middle of the circle. The radius is HALF of the diameter.
Diameter
A line segment from one side of a circle to the other THROUGH THE MIDDLE. This is twice as long as the radius.
Circumference
The distance around the outside of a circle ALSO the perimeter of a circle.
Parallelogram
A quadrilateral with 2 pairs of parallel sides. Examples could include squares, rectangles, as well as the traditional parallelogram which is a slanted rectangle.
Perpendicular
Two lines that cross at a right angle (90 degrees). They make square corners.
Quadrilateral Angles
Angles add up to 360 degrees for ANY quadrilateral
Mean OR Average
Add all the numbers together and divide by how many numbers there are
Median
After putting the numbers in order, the median is the middle number. If there are two middle numbers, find the number that would be exactly in between the two middle numbers
Mode
The number that occurs the most
Range
The highest number minus the lowest number
Upper Quartile
The middle number between the middle number and the highest number when the numbers are put in order.
Lower Quartile
The middle number between the middle number and the lowest number when the numbers are put in order.
Squared
Something to the 2nd Power

3 squared = 3 * 3 = 9
Cubed
Something to the 3rd Power

4 squared = 4 * 4 * 4 = 64
Parallel
To lines that will not touch

The symbol is | |
Perpendicular
When two lines come together at a right angle (90 degrees or square angle)

The symbol for perpendicular is ⊥
Probability
The chance of something happening. The symbol is...

P( )
Ways to name an angle
An angle can be named 3 different ways

An angle can be named by its vertex

≺B

An angle can also be named with the other letters that make up the angle...as long as the vertex is in the middle

≺ABC OR ≺CBA
Vertex
Where the two rays of angle come together or the point of an angle
Line
Goes on forever in both directions

Segment
Stops at both ends

Ray
Stops in one direction but keeps going in the other

Isosceles Triangle
A triangle with 2 equal sides
Equilateral Triangle
A triangle with all equal sides
Scalene Triangle
A triangle with all side lengths being different
Right Triangle
A triangle with 1 right angle
Acute Triangle
A triangle with ALL angles being acute or less than 90 degrees
Obtuse Triangle
A triangle with 1 obtuse angle (more than 90 degrees)