Sunday, March 25, 2012

Finding the area of a circle.

This is easy!!!!
The area formula of a circle is A=(pi)r^2
(I could not write the symbols down) 
It is so easy to do this. You need the radius, which is half of the circle's diameter. You need the value of pi, as well. So let's say if you got a circle with a diameter of 16, you will set up the formula like so.
A=(pi)8^2
A=(pi)64
A=64(pi)


And there is your answer!!!

How do we find the area of regular polygons?

Regular Polygons are just what they sound like. Polygons that are not bent or shaped weird. An example of a regular polygon would be the pentagon or a triangle. To find the area of these shapes you need the formula
A=nas/(1/2)

Which can be subtitused for A=pa

A is the are
n is the number of sides a shape has
a is the apothem, which is basically the radius of the shape (it is not for circles, so don't get it confused)
s is the length of the sides.

So let's say if you have a pentagon with an Apothem of 8, and side length of 7 you would set it up like so:

A=5*8*7/2 the result would be 140!

When you have the area but not one of the other variables, you must do the inverse operation.



Sunday, March 18, 2012

How Do we calculate the area of rectangles and triangles.

Rectangles and triangles are the easiest shapes that can be used to find the are.
Rectangles: B*H
Triangles: B*H/2

Triangles have to be divided by two since they are not full figures. This lesson was short, but only because it is so easy.


How d we solve are problems?

What is area?

Area is the measurement of a shape's insides. Different shapes have different shape measurements.There are many ways to finding the area of a shape.

If it is for a kite, the formula is (d1*d2)/2

"d" is the shape's diagonals. meaning the segments to the shape that are perpendicular to eachother.

Trapezoid: The trapezoid has two "bases" meaning two sides that are not congruent. You take both bases, the height and multiply them. The formula is (b1+b2)*h/2 Remember you have to divide by two at the end of it all.

Parallelograms are quadratic shapes that have similar sides but are not all congruent. The formula is simply b*h (Base times height). The height is never the slanted side!! 

Monday, March 12, 2012

How Do we Solve Compound Loci Problems

As I explained before, you already know what a Locus is, so there is no need for me to go into it.

But a compound loci problem is the easiest out of ll the locus problems. You are just plotting the points that it gives you. So for example if you have (2,4) as your point, the problem will ask you to plot a point 5 points away from it. You do not have to be a rocket scientist to count five spaces away from the original point. Once that it done make a circle that connects all the points. they have to be equally spaced, if not then you did something wrong.



Some questions will ask you to plot other points that satisfy the points. That just means to plot points that will be equidistant 9remember that word/) and that will break the circle with a line through it. That's all there really is solving Loci problems.



Finding area (of a triangle),

The area of any shape in the inside of it, which means that you will be finding the measurements of the shape's insides/ Do not confuse this for volume change, those are for three-dimensional figure.
The formula to find the are of any rectangle or square is A=BH
(Area equals base multiplied by the height). Though it is different for Triangles. Since some triangles are half of a square, the formula is A=BH(1/2)
(Area equals base times height, divided by half OR two). It is easier to remember this because you have to divide the new area by two which gives you the new area. Remember to always divide.

Doing the inverse.

Sometimes a problem will ask you to do the inverse operation meaning that you will be trying to find another variable to the problem. So instead of locating the are, they will already give it to you and you will have to find the base or the height.
So if the area of a shape is 14, the base is 2. Then you will multiply two by 14, giving you 28. Then you divide two (which i the base) by 28 and your height is 14!

A trick is you should always remember to multiply by two first so you will not get confused.

Later days!

Sunday, March 11, 2012

How do we find the locus point.

It's locust like the bug (those are gross)
Locus is the term used in a specific geometrical way to describe the points that satisfies a condition where ever it is along a circle, or a line.

I know, what does that all mean?

To put it into easier terms it means that you will be finding a point along line or a point that represents a general circle. Here are a few Key terms you will be using.

"Equidistant": This means that the point or spot you will plot, will be equally distributed between a line. Meaning, it;s basically the center of a line that cuts it into two equal halves.

"Two Fixed Points: A line through the middle of a point, a perpendicular bisector.

one Line: Two parallel lines on opposite sides of the original line

One Point: This forms a circle. (Watch out for it)

two intersecting lines: Two lines half way between the two original lines. .

Basically, Locus is all those terms I just spat at you up there. There are times when you will need to find the specific locus the problem is talking about. For instance, if the problem says that the original point is the origin (0,0) and that it's points must be 3 units away, you plot 3 units away from the X and Y axis. It will give you a circle, and that it your locus. They get easier as you continue. One problem is when they ask you to locate the point that satisfies the condition,.

Sunday, March 04, 2012

Conditionals

What are they? The annoying little word problems that make math all the more fun! Conditionals are when sentences (terms) mean something true but when changed (inverse). They're things are called logic.
Logic is basically common sense. If something makes sense one way it probably is true. Except in math there are different types of logistics. First you have to know the proper language, when words are flipped to mean the same thing, they are called contrapositives.
So something like "If today is Tuesday then tomorrow is Wednesday." could be switched too "if today is not Wednesday, it must be tuesday."
Easy right?
Next is inductive reasoning. That just means its there in the answer.
"Mary's mom has four kids, April, May and June. Who's the fourth child?"
Mary duh.

There are also conjunctions which are the words that make up statements, (we watched an entire school house rock video to it in class) and they are "if, then, are, but, nor, or,"

Those are the properties to logic. Next step is solving logic problems.