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Basic Graphs and Graphical Representation of Data

Topic Review on "Title":

Coordinate systems: 
They are two mutually perpendicular coordinate lines which intersect in the origin O on each line.

The four quadrants in a coordinate system:
Quadrant I is the area where a>0 and b>0.
Quadrant II is the area where a<0 and b>0.
Quadrant III is the area where a<0 and b<0.
Quadrant IV is the area where a>0 and b<0.

Distance: 
The distance between any two points is defined as:
.

Data sets:
The grouping or collection of similar or related data.

Subsets:
If A and B are sets and every element of A is also an element of B, then: A is a subset of B, denoted by.

Product of two data sets:
If S and T are sets, the product set of S and T will be denoted by , which satisfies

.

Line:

A geometric figure formed by a point moving along a fixed direction and the reverse direction.

 Slope of a line:
If and are arbitrary two points on the line, the slope can be calculated by
.

Midpoint of any two points:
The distance between two arbitrary points is given by
.


Rapid Study Kit for "Title":
Flash Movie Flash Game Flash Card
Core Concept Tutorial Problem Solving Drill Review Cheat Sheet

"Title" Tutorial Summary :

The graphical representation of data and the basic graphs that are generated as a result of this data are important concepts that are developed in this tutorial. The coordinate systems in two variables are introduced with the help of graphs.

The midpoint, and the distance of between two points formulas are discussed in this tutorial with the help of examples and graphical representations. Relations are introduced with the help of graphs and common algebraic principles.


Tutorial Features:

Specific Tutorial Features:
• Step by step examples showing data sets, product of two data sets and relations are shown in this tutorial.
• Examples displaying how to use the distance and midpoint between any two points formulas are presented with the use of graphs and examples.

Series Features:
• Concept map showing inter-connections of new concepts in this tutorial and those previously introduced.
• Definition slides introduce terms as they are needed.
• Visual representation of concepts
• Animated examples—worked out step by step
• A concise summary is given at the conclusion of the tutorial.


"Title" Topic List:
Two Dimensional Coordinate Systems
Coordinate Systems and their Definition
The Four Quadrants and their Graphical Representation
The Distance and Midpoint Formulas
Relations
Data sets and their definition
Subsets
The product of two data sets
The relation of two data sets
Line in a plane
Definition of a line
Definition of the slope of a line
Parallel and perpendicular lines


See all 24 lessons in Trigonometry, including concept tutorials, problem drills and cheat sheets:
Teach Yourself Trigonometry Visually in 24 Hours

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