it's now 2008...

Wow! It's been two whole years since I posted to this blog. I remember me and chocolatelover were the only ones in the entire class who wanted to make this blog and now that I look back, it was preety cool. Everything we did was strictly to the technical part of our lessen (or lesson, weird, I guess my spelling hasn't improved) and I feel proud of it because It's different from all other Maksymchuck's class blogs. There was just two of us and we did it for the entire year... together... and right now I'm drinking rooibos tea and it tastes weird.

:)

Statistics

Our class ages (the data we will use as an example): 16, 15, 15, 15, 16, 16, 16, 16, 16, 15, 16, 16
This is a data set. It has some characteristics, we can use technology to learn some things about the data set.

For Instance:
1. Median (average)
"add all the numbers then devide by the number of numbers" ; )




2. Measures of Central Tendency
a) Median
The middle number, provided they are arranged numerically, and is odd (if n is even then the median is the mean of the two middle numbers).
b) Mode
"The most frequently appearing value." * There can be multiple modes or no modes.*

3. Range
The distance (in numbers) from the smallest to largest or vice versa (always positive).


How to get this information on you ti 83/84 calculator:

I. Clear your stat plots or be sure to use the correct plot when inserting you information (I'm using the information from the example at the begining of the post).
II. Go to "STAT" then "1: Edit..." and insert your list.
III. Go to "STAT", "CALC" then "1: 1-Var Stats".
IV.Now enter you list number (L1, L2, etc.). If your using our (class) example you should have first cleared all your lists and now on your home view (with 1-Var Stats on it) you will push "2nd, 1" to enter L1. "ENTER"

Vertical Line Test

Vertical Line Test

If a vertical line can be drawn to intersect more than exactly one point on a relation then that relation cannot be a function because it fails the vertical line test.

Relations and Functions

Relation is any set of ordered pairs.

ex) {(2,6),(-7,7),(4,3),(-7,2)}

X 0 1 2 3 4 5 6
Y 0 1 2 3 4 5 6

X--------M
Y--------N
Z--------O


y=2x+5
"the set of ordered pairs such that y is twice x"

all of these relations are functions except one. The first one isn't a function because it fails the vertical line test.

Regular Polygons

A regular polygon is when all the side lengths and angles are the same and don't intersect each other.

Equilateral Triangle

Number of sides = 3:
Number of vertices = 3:
Interior angle = 60°:
Exterior angle = 120°:
Exterior angle multiplied by the number of sides = 360°:
Number of sides = number of vertices:

Cube

Number of sides = 4:
Number of vertices = 4:
Interior angle = 90°:
Exterior angle = 90°:
Exterior angle multiplied by the number of sides = 360°. (90°X4=360°):
Number of sides = number of vertices:

Pentagon

Number of sides = 5:
Number of vertices = 5:
Interior angle = 108°:
Exterior angle = 72°:
Exterior angle multiplied by the number of sides = 360°. (72° X 5 = 360°):
Number of sides = number of vertices:

Hexagon

Number of sides = 6:
Number of vertices = 6:
Interior angle = 120°:
Exterior angle = 60°:
Exterior angle multiplied by the number of sides = 360°. (60° X 6 = 360°):
Number of sides = number of vertices:

Heptagon

Number of sides/verticies = 7

Interior angle = 128.57

Exterior angle = 51.53

Octagon

Number of sides/verticies = 8
Interior angle = 135

Exterior angle = 45

Nonagon

Number of sides/verticies = 9
Interior angle = 140

Exterior angle = 40

Decagon

Number of sides/verticies = 10

Interior angle = 144
Exterior angle = 36

3D Shapes/Prisms

Cube/Rectangular prismSphereRectangular Pyramid Triangular Pyramid
Cylinder
Cone

Octahedron (8 faces, 6 vertices, 12 edges)Dodecahedron (12 faces, 20 vertices, 30 edges)

Icosahedron (20 faces, 12 vertices, 30 edges)

Torus

2D Shapes

Triangle, Rectangle, Square, Cirlce,

Parallelogram

Trapezoid

Rhombus
Ellipse
Kite

Sector