Multiplication PropertiesCommutative -

You can always multiply numbers in any order and the product will be the same.Ex: 5 x 4 = 20 & 4 x 5 = 20Associative Property –You can group factors differently and the product will be the same.Ex: (4 x 4) x 2 = 4 x (4 x 2)

Property of One - When one of the factors is 1, the product equals the other number.Ex: 5 x 1 = 5Zero Property - When one factor is 0, the product is 0. Ex: 8 x 0 = 0

Perimeter•The distance around a figure.

•Formula = square = 4s•Rectangle = 2l + 2w•All other shapes – add ALL sides

AREAThe number of square units needed to cover a surface.

Area = length x width

8 cm.

3 cm.

8 x 3 =

24 square cm.

Area of a Triangle• Formula: ½ bh or bh

2• A triangle is half of a rectangle/square

so we use the same formula but cut it in half.

• EX:6 in.

12in.Area of the rectangle would be 6 X 12 = 72 sq.

in.

Area of the triangle would be (6X12) ÷ 2 = 36 sq. in.

VolumeThe measure of the space a

solid figure occupies. Volume is measured in

cubic units.Volume = length x width x height

V = L X W X H

8 x 3 x 4 =

96 cubic inches

8 in.

4 in. 3 in.

FactorsNumbers multiplied together to find a

product.

Ex: The factors of 12 are 1, 2, 3, 4, 6, and 12Greatest Common Factor

(GCF)The greatest number that is a factor of each or two or more numbers.

The factors of 12 are = 1, 2, 3, 4, 6, 12

The factors of 18 are = 1, 2, 3, 6, 9, 18

The greatest common factor is 6.

A number that has exactly 2 factors, 1 and the number itself.

Ex: 3, 5, 7, 11, 13

Numbers that have more than two factors.

Ex: 4, 6, 8, 9, 10

Metric UnitsLength:

- millimeter (mm)

- centimeter (cm)

- decimeter (dm)

- meter (m)

1 meter = 10 decimeters, 100 centimeters, 1,000 millimeters

1 decimeter = 10 centimeters, 100 millimeters

1 centimeter = 10 millimeters

Capacity :

- milliliter (mL)

- liter (L)

- kiloliter (kL)1 liter = 1,000 milliliters

1 kiloliter = 1,000 liters

Weight (Mass) :

-gram (g)

- kilogram (kg)

-milligram (mg)

1 gram = 1,000 milligrams

1 kilogram = 1,000 grams

Parallel LinesLines that will always be the same

distance apart , they will never crossPerpendicular Lines

Lines that cross each other to make a perfect right angle

Intersecting LinesLines that meet or cross each

other

Ray

A part of a line that has one endpoint and

extends indefinitely in one direction.

Line A set of points in a line that

goes on forever in both direction.

Line SegmentA part of a line defined by two

endpoints.

Angle

Two rays that share an endpoint

Right Angle

An angle that measures exactly 90 °.

Obtuse Angle

An angle with a measure greater than 90° and

less than 180°.

Acute Angle

An angle with a measure less than 90°.

Straight Angle

An angle with a measure of exactly 180°.

Polygon

A closed figure made only of straight lines.

Quadrilateral

A four sided polygon.

Trapezoid

A quadrilateral with exactly two parallel

sides.

RectangleA quadrilateral with two

pairs of congruent, parallel sides and four

right angle.

SquareA rectangle with four

congruent sides and four right angles.

ParallelogramA quadrilateral with two

pairs of parallel AND congruent sides.

RhombusA parallelogram with all

four sides equal in length.

Isosceles TriangleA triangle with two congruent sides.

3 cm. 3 cm.

2 cm.

Scalene TriangleA triangle in which each side is a different length.

2 cm.4 cm.

3 cm.

Equilateral Triangle

A triangle with all sides congruent.

2 cm. 2 cm.

2 cm.

Obtuse TriangleA triangle which has one

obtuse angle.

Acute TriangleA triangle with 3 acute

angles.

Right TriangleA triangle with 1 right

angle.

Congruent FiguresFigures that have the same size and same

shape.

Similar FiguresFigures that have the

same size OR the same shape. They do not have

both.

Line SymmetryWhen a figure can be

folded on a line so that it’s two parts are

congruent.

RadiusA line segment that connects the center with a point on the circle.

DiameterA chord that passes through the

center of a circle.

A line segment that connects any two points on a circle.

Chord

CircumferenceThe perimeter of a circle.

Radius

Chord

Diameter

Radius

A line segment that connects the center with a point on the

circle.

Radius

Diameter

Diameter

A chord that passes

through the center of a

circle.

Chord

Chord

A line segment

that connects any two

points on a circle.

Circumference

The perimete

r of a circle.

TransformationAnytime you move

a figure, you transform it. The

transformations are translation,

rotation, and reflection.

TranslationAka - slide

A transformation that slides a

figure in a given distance and in a given direction.

ReflectionAka - flip

A transformation that creates a

mirror image of a figure on the opposite side of

a line .

RotationAka - turn

A transformation in which a figure is turned around a

point.

Face

A plane figure that serves as one side of a solid

figure.

Edge

The line segment where two faces of a solid figure

meet.

Vertex

A point on a polyhedron where three or more

faces intersect.

Base

A special kind of face. The shape could “rest” on

it.

PrismA 3-Dimensional figure that

has two congruent and parallel faces that are

polygons. The rest of the faces are parallelograms.

PyramidA 3-Dimensional figure whose base is a polygon and whose other faces are triangles that

share a common vertex.

Volume

The number of cubic units it takes to fill a solid.

V = L x W x H

Equivalent FractionsFractions that name the same number or amount.

3 6 4 8

Improper FractionFraction in which the numerator is bigger than the denominator. You must DIVIDE to make it into a mixed number. EX:

25 4

Mixed NumberNumber that contains a whole number and a

fraction. Ex:

Certain Something that will ALWAYS

happen.

Compatible NumbersPairs of numbers that are easy to

compute in your head.

Cubic UnitsThe number of cubes with dimensions of

1 unit x 1 unit x 1unit that can fit inside a solid figure. Unit used to show

volume.

AscendingIn order from least to greatest

number.

DescendingIn order from greatest

to least number.

FormulaA set of symbols that expresses a mathematical

rule. EX: A = l x w

Inverse OperationsOpposite operations that undo each

other.Ex: addition & subtraction or multiplication &

division

Possible OutcomesSomething that has a chance of

happening in an experiment.

Simplest FormA fraction that has 1 as the greatest common factor of the numerator and

denominator. The numerator and denominator are as low as they can go.

Greatest Common Factor

•Also known as GCF•The largest number that divides evenly into two or more numbers.

Vertical AxisA.K.A – Y-Axis

The vertical number line on a graph.

Horizontal AxisA.K.A – X-Axis

The horizontal number line on a graph

Division•Dividend – the large number that is being divided

•Divisor – the number you are dividing by

•Quotient – the answer to a division problem

28 ÷ 4 = 7 OR 4 28

28 is the dividend, 4 is the divisor, and 7 is the quotient

7

Elapsed Time• The amount of time that passes between

two set times. Ex: start time of a class and end time

Units of Time• 1 year = 365 days• 1 year = 12

months• 1 year = 52 weeks• 1 week = 7 days

• 1 day = 24 hours• 1 hour = 60 minutes• 1 minute = 60

seconds

Multiplication• The operation of repeated addition.

• EX: 3 X 4 = 3 + 3 + 3 + 3 = 12

4 X 7 = 28

4

7

ArrayAn arrangement of objects in equal

rows.

EX:

Unmarked ArrayAn array without the boxes in the

inside. An “empty”array.

EX: 3

11

DimensionsThe lengths of the sides of an object or

array.EX: 5 and 7 are the

dimensions of this unmarked array.

5

7

Square NumberA number that can be made into a square

array.

EX: 3 X 3 = 9 so 9 is a square number.

3

3

Multiplication Combination When you have labeled the dimensions of

an array they are the multiplication combinations for the number. (Number Sentence)

4 X 6 = 244

6

Multiple• The product of a number and any other

number.• The multiples of a number are what you say

when you are counting by that number

EX: The multiples of 6 are: 18, 24, 30, 36…

ReasonableDoes that make sense????

Fraction – A way of representing part of a whole or part of a group.

Numerator – The number on top that tells how many equal parts are described in the fraction.

Denominator – The quantity below the line in a fraction. It tells the number of equal parts into which the whole is divided.

Median The middle number of a set of

numbers when the numbers are arranged from greatest to least

ModeThe number that appears most frequently in a set of

number. There might be one mode, more than one mode,

or no mode.

RangeThe difference between the greatest and

the least value in a set of data

peRIMeter

The middle number in an ordered series of numbers

EX: 65, 78, 80, 93, 98Median = 80

The difference in the greatest and least

numbers in a set of data.

Ex: 92, 95, 76, 100

Range = 100 – 76 = 24

The number that is listed the most often in a set of data.

Ex: 3, 4, 4, 5, 7, 7, 7, 7, 8, 9, 9Mode = 7

Evenends with 0, 2, 4,

6, 8Odd

ends with 1, 3, 5, 7,9

Customary Units•Length:

– Inch (in.) - Foot (ft.)– Yard (yd) - Mile (mi)

1 Foot = 12 inches1 Yard = 3 feet

•Weight– Ounce (oz)– Pound (lb)

1 Pound = 16 Ounces

•Capacity:- Cup - Pint- Quart - Gallon

1 Pint = 2 cups1 Quart = 2 pints

1 Gallon = 4 Quarts