Final Exam REVIEW

Mr. PearsonWednesday, May 28, 2014

PLACE VALUE

ORDERED PAIR (1,2) A pair of numbers used to locate a point on a coordinate plane; the first number tells how far to move horizontally and the second number tells how far to move vertically

Relations

• A set of ordered pairs

Example:

(5,1)   (10,2)   (15,3)   (20,4)   (25,5)

Functions Functions occur when x does not repeat. It does not matter if why does.

Which relations are functions?

GREATEST COMMON FACTOR

• The greatest factor that two or more numbers have in common

Example:

18: 1, 2, 3, 6, 9, 18

30: 1, 2, 3, 5, 6, 10, 15, 30

6 is the GCF of 18 and 30.

LEAST COMMON MULTIPLE (LCM)

MULTIPLES• multiple • The product of a given whole number and

another whole number Example:

                                

percent

• The ratio of a number to 100; percent means "per hundred

measure of central tendency

• A measure used to describe data; the mean, median, and mode are measures of central tendency.

• Another measure of central tendency is range.

mean • The number found by dividing the sum of a

set of numbers by the number of addends; see also average

Example:

74, 91, 63, 92, 85

mode • The numbers or items that occur most

often in a set of data

Example: The mode of 1, 3, 4, 4, and 6 is 4.

median • The middle number or the average of the

two middle numbers in an ordered set of data

Example: The median of 1, 3, 4, 6, and 7 is 4.

range • The difference between the greatest and

least numbers in a set of data

Example:

The greatest temperature is 83°F.The least temperature is 80°F.Since 83 - 80 = 3, the range is 3°F.

number line• A line with equally spaced tick marks

named by numbers (POSITIVE AND NEGATIVE INTEGERS)

• Example:

A number written as the product of all its prime factors

prime number

• A whole number greater than 1 whose only factors are 1 and itself

• Example 2, 3, 5, 7

• Not prime 4, 8, 12,

composite number

• A whole number that has more than two factors

• Example: 21: 1, 3, 7, 21

• Example: 4: 1, 2, 4

parallel lines

• Lines in a plane that never intersect

• A line that intersects/cuts through two parallel lines is called a transversal.

perpendicular lines

• Two lines that intersect to form four right angles

congruent Having the same size and shape

Example:                                The triangles are congruent.

line of symmetry

A line that divides a figure into two congruent parts

Similar Figures Figures with the same shape but not necessarily the same size. Angles must be the same.Congruent FiguresFigures must be the same size and same shape which means same size angles and lengths of sides.

                                                     

Name Sides Angles

Triangle 3 3

Quadrilateral 4 4

Pentagon 5 5

Hexagon 6 6

Heptagon 7 7

Octagon 8 8

Nonagon 9 9

Decagon 10 10

FACE

• A polygon that is a flat surface of a solid figure

Right Triangle• A RIGHT triangle has ONE right angle.

obtuse triangle

A triangle that has one obtuse angle

Example:

                                                      

Acute Triangle

• An ACUTE triangle has THREE acute angles.

circumference The distance around a circle

Example:

                      

Diameters -

• A DIAMETER of a circle is a chord that contains the center of the circle.  Diameter CV, diameter DT, diameter GH, diameter EU, etc.....

Radius

• A line segment with • one endpoint • at the center • of a circle • and the other • endpoint • on the circle

• acute angle • An angle that has a measure less

than a right angle (less than 90°)

Example:                             

Straight Angle

• A STRAIGHT ANGLE is one whose measure is EXACTLY 180 DEGREES.  A straight angle is made up of two opposite rays.   Another important fact is that a straight angle forms a straight line. 

Obtuse Angle

• An OBTUSE ANGLE is one whose measure is GREATER THAN 90 AND LESS THAN 180 DEGREES.

Right Angle

• A RIGHT ANGLE is an angle whose measure is EXACTLY 90 DEGRRES. Right angles are denoted by a small square in its interior.

VERTEX -• The common point for both rays is

called the Vertex. 

Identify the Triangles• Triangles are also classified according to their

length.

• Scalene Triangle- no congruent sides

• Isosceles Triangle- two congruent sides

• Equilateral Triangle- three congruent sides

area The number of square units needed to cover a surface

Example:                         The area is 9 square units.

Perimeter

• The distance• around a figure

• 2 cm + 3 cm + 3 cm • = 8 cm

The perimeter of this figure is 8 centimeters

VOLUME

• The measure of the amount of space a solid figure occupies

The volume of this figure is 24 cubic units

SURFACE AREA

• The measure of the combined areas of each flat face of the figure.

The surface area covers each face of the figure. Since there are six sides, you have to calculate areas of six sides, then add together.

PRISM

• A solid figure that has two congruent, polygon-shaped bases, and other faces that are all rectangles

pyramid

• A solid figure with a polygon base and all other faces triangles that meet at a common vertex

Associative Property

• The property that states that the way addends are grouped or factors are grouped does not change the sum or the product

12 + (5 + 9) = (12 + 5) + 9

(9 x 8) x 3 = 9 x (8 x 3)

Commutative Property

• The property that states that when the order of addends or factors is changed, the sum or product is the same

9 + 4 = 4 + 9

6 x 3 = 3 x 6

DISTRIBUTIVE PROPERTY

greater than (>)

A symbol used to compare two numbers, with the greater number given first

Example:

8 > 6

8 is greater than 6.

FRACTION

• A number that names a part of a whole or a part of a group

Trends in Graphs (Positive/Negative/No Correlation)

Combining Like Terms

Solving Equations

SCIENTIFIC NOTATION

SCIENTIFIC NOTATION

SQUARES AND SQUARE ROOTS

ORDER OF OPERATIONS