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Meldee and Kendra's Geometry Page

Page history last edited by PBworks 13 years, 6 months ago

QUIZ!!! <-- Clickie

 

Meldee: Mushi mushi! This is Meldee.  

 

Kendra: Also Kendra. We're here to talk about geometry...Meldee, I think this is your subject now.

 

Meldee: Yeah, I know, I know.

 

Meldee: Like Kendra on the algebra page, I'll be the only one talking except a few occasional comments from Kendra (Kendra: Thaaaaat's meee!) *Sigh*

 

To get started, I'll find out the dictionary meaning for geometry, like Kendra did.

 

Hm....no....not that....ew, didn't need to know that.....found it! Now to put it in my own words....I really don't want to get sued......

 

"Geometry's name is a combination of 2 Greek words, Geo means 'earth' and metria means 'measure', hence the name geometry. It's the part of math that uses shapes, mainly triangular prisms (or just triangles), rectangular prisms (or just rectangles) and cylinders (or just circles). It's main uses are for surveying, measurements, area and volume. For each specific shape, there is a formula that goes with it to find the TSA (Kendra:Total Surface Area. I'm such a nerd...NOT!) and the area. For a cylinder and a circle, there are formulas to find the circumfrence, the radius and the volume".

 

Meldee: Let's start with the easiest one, the rectangle and the rectangular prism!

 

Kendra: Yeah, sure. Take the easy way out....

 

Meldee: *Glare*

 

Kendra: *Glares in return*

 

15 minutes later...

 

Meldee: This is getting nowhere! I'm starting my lesson.

 

Kendra: *Smirk*  I knew you'd crack soon.

 

Meldee: *Scowl*  Back to my lesson...I'll leave rectangels and rectangular prisms for later. First, I'll start with Pythagoras.

 

Geometry started with a guy named Pythagoras and his theory. (Kendra: For those of you who don't know, Pythagoras Jr. was the son of Pythagoras Sr., who owned a trading company in Ancient Greece. Pythagoras Jr. loved shapes and grew up to be a Greek philosopher....or so Harbeck says) Basically, it's like so:

 

Simple, non? Well, not really. This is only for a triangle. We'll get to the others later. A stands for Altitude, B stands for Base and C stands for Hypotenuse (Kendra: It's weird because A and B stand for the first letters of the words they stand for: Altitude and Base. C stands for something completely different.). A and B make the right angle and C has the longest side. If you were to label them on a triangle itself, it would look like this:

 

 

 

Now, let's get started on the work on Pythagoras's theory!

 

Finding C

 

The formulas for finding C are:

 

 

Either way is fine, according to Harbeck.

 

Finding B

 

Finding B is not that different from finding C. Here's the formula:

 

 

Finding A

 

Finding A is exactly like finding B, you just gotta switch around a few things. Here's what the formula would look like:

 

 

So basically, the formulas are the same, just some changes with the placings.

 

Meldee: Shinnaro! I'm done with Pythagoras's theory! Cha!

 

Inner Meldee: Yeah! I'm finally done that! One down, 5 more to go! Oh wait, that's alot....Kuso!

 

Kendra *pointing out*: You didn't use any examples...

 

Inner Kendra: Its friggin common sense! Even a baby could do it! NOW STOP BEING A LAZY BUTT AND GET TO WORK!!!!!!

 

Inner Meldee: Who cares?! I showed the formulas! IT'S NOT MY PROBLEM IF THEY DON'T KNOW WHAT TO DO!!!

 

Meldee: Oh. I'll put some up...but maybe later.

 

Meldee: Time to move on to the area of shapes.

 

The shapes I'll be describing are, in that order: The rectangle, the triangle, the circle and the square.

 

Meldee: Shinnaro, let's start with the rectangle!

 

The formula for finding the area of a rectangle is:

 

 

The length is the longest side and the width is the shortest side. On a rectangle, it would look like this:

 

The little line dashes act as a guide to know which sides are the same. = are the width and - is the length.

 

Meldee: Well, you've seen the rectangle without any numbers. Let's throw in an equation.

 

 

So the length is 5 cm and the width is 3 cm. So let's multiply.

 

 

So the area would be 15 cm2 because it's the area, or the inside, of a rectangle. All equations that deal with finding the area are squared.

 

Meldee: Yay! Another part finished! Shinnaro!

 

Kendra: Is 'Shinnaro' you're favourite word now?

 

Meldee: Yep! Now on to the area of triangle!

 

Kendra: Meldee, you should say what the words you're saying mean...I think I just confused myself....

 

Meldee: No, I get you. What words?

 

Kendra: The Japanese ones.

 

Meldee: Ok! Time for a break and some Ninongo lessons! Ninongo means Japanese in...well....Japanese. Shinnarro is like saying 'Yay' or 'Yeah'. Cha has the same meaning. Kuso means 'Darn'. Mushi mushi is another way of saying 'hi' like Konnichiwa. Well, that's it for Ninongo lessons. Back to math!

 

I sort of forgot how to do triangles, so if I make a mistake, please don't hesitate to correct me. The area of a triangle has this formula:

 

Kendra: Insert Picture here --->

 

Meldee: Yay, it loaded! 

 

Kendra: Good for you.

 

Meldee: :)

 

Inner Meldee: Darn computer.....Technonlogy stinks....sometimes....when the computer hates me. Now it chooses to like me....curse it.

 

Moving on, it'll be a long formula. You only divided everything if a rectangle is involved. For now, I'll use the top formula. Let's see if I can make a problem outta this:

 

 

 

Now I want you kiddies to find the answer to this question. If you can't click here ---> answers

 

Meldee: Moving on...

 

Now, on to the area of squares!

 

The area of a square has this formula:

 

 

Here's a wonderful example!

 

 

Now boys and girls, or teens and...teens..., here's how you figure out the answer:

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