Erim and Manita

Alot of people have a misconception of algebra… they think its just something you learn in maths that you wont use again…. right? Wrong..

One example is when you want to predict how many people are going to turn up at a party…

If you think that half the number of people (lets say 20) wont come and maybe a quater will bring a guest with them, you could say 20/2=15×2=30, so you would get an estimate on how many people might come.

You can also use algebra in cooking, believe it or not as if you had all the ingredients for 5 people and you needed to cook for 15, you could use algebra to help solve the amount of ingredients needed…

There are many jobs that find algebra essential for working… such as engineers, builders, computer programmers, traffic engineers and tax accountants.

Put your algebra to the test in these fun algebra games…

http://funbasedlearning.com/algebra/graphing/lines/default.htm

http://www.coolmath.com/algebra/cruncher/soleq5.htm

In class we did an individual project about the effects of enlargements on the perimeter and area.

I did not get a formula that would work for any shape but i found out how to get the dimension and therefore get the perimeter and area for any shape by knowing the SF on a rectangle. (dimension: 1×2, 2×4 etc)

It is:

SFs is the length of the sides and if you times it by 2 that is the widths of the sides.

e.g.

SF200=

200×400=Dimension, from there you can work out the area and perimeter.

When you learn Algebra it seems pointless, why would we need to know what x would be if the equation was 5x+6=78? But we do actually use algebra alot in real life, where x is represented by other things such as money etc.

 1) When filling your car up with gas you can use a form of algebra. Lets say you only have $20.00 to spend on gas today and gas is $3.50 a gallon. How many gallons could you buy?

Let x = # of gallons of gas

3.50x=20.00
x=5.71 gallons
2) Lets say you need to buy a new XBOX 360. You have $800 to spend on everything. You know a new system costs $400 and extra controller $40. Assuming a game costs $60 how many games could you get?

Let x= the number of Games

$800 = $400 + $40 +$60x
800=460+60x
360=60x
x = 6 Games

3) For the last one lets say you are all grown up now and have to move across country for a new job. Lets use Buffalo, NY to Sacramento, CA which is roughly 2500 miles of driving. How much money do you need to save for gas if the national average is $3.23/gallon.

Let x = amount of money you need to save

2500 = 3.23x
x=$773.99

There are 3 uses of Algebra in real life!

I investigated on how enlargement of shapes (changing the scale factor) would establish a relationship on the area and perimeter of the shapes.

I started out with 1cm by 1cm square, and increased the scale factor as i went along. I saw that the area was the dimensions x2 & the perimeter went up in 4′s . I recorded a table which showed all my dimensions, scale factors and areas an perimeters that i had found.

I then did a 1cm by 2cm rectangle and an L shape. I realised i didnt need to go in order of SF 2, SF 3… so i did SF1 and went to SF4. I was then able to work out what  the area and perimeter of SF2 was and what SF 10 was. I did’nt figure out the relationsip but i did learn more on how to work things out from previous answers.

Take a look at my work on the history of coordinates! :

history-of-coordinates.doc

Coordinates By Erim Lally 8K

This is a page about coordinates:^

This is what we learnt using Autograph.
We learnt this by ourselves so if this is wrong or too simple then sorry.
feel sorry for me because it is my (erims) birthday today and im typing this.

We have learnt from a worsheet and a program on our laptops called Autograph that if the number before the X is positive then the straight line will start on the positive side of the x axes.

For example:
If the equation starts with 2X and you do another one that also begins with 2X they will be parallel.

If we have a positive number before the X, the line will start in the top right section of the graph.
If we have a negative number before the X the line will start in the top left section of the graph.

We hope you have learnt something from us!

By Erim and Manita 8K

pi = 3.14159265

Pi is the relationship between all circles.

Pi’s mathematical symbol is: π

To find the area, perimeter and the circumfrence of any circle π is involved in the formula.

The exact number for Pi has never been found because it just keeps on going.

Why can/can’t I find my number in Pi? If we view Pi as a big, random string of numbers (which is close enough for our purposes), then we can figure out the odds of finding any string in the first 100 million digits of Pi:

Happily, if you include the zeros, birthdays are 8 digits long — so you have a 63% chance of finding your birthday in the first 100 million digits of pi. Now that we’re to 200 million, the odds are up to 86%, so it’ll be a while before everyone can find their birthday in Pi.

I found that on a site called http://www.angio.net/pi/piquery#likely

I hope you found this post useful!

By Erim Lally 8K

Pi is an endless number.

Here’s pi to many more digits: 3.14159265358979323846

Pi is a very old number. We know that the Egyptians and the Babylonians knew about the existence of the constant ratio pi, although they didn’t know its value nearly as well as we do today. They had figured out that it was a little bigger than 3; the Babylonians had an approximation of 3 1/8 (3.125), and the Egyptians had a somewhat worse approximation of 4*(8/9)^2 (about 3.160484), which is slightly less accurate and much harder to work with. For more, see A History of Pi by Petr Beckman (Dorset Press).

The modern symbol for pi [] was first used in our modern sense in 1706 by William Jones

This information was from:

http://mathforum.org/dr.math/faq/faq.pi.html

Hi, these are good websites to help you when it comes to indices:

http://www.bbc.co.uk/schools/gcsebitesize/maths/number/powersrootsrev3.shtml

http://www.mathsrevision.net/gcse/pages.php?page=26

Indices are basically powers (eg. 3 to the power of 2, which would be 3×3 which would equal 9.)

Indices are helpful because instead of writing 8 to the power of 5, we can write 5 smaller on the side of 8 to make it easier.

Tip: When you multiply indices you add the powers, when you divide indices you subtract the powers.

 <- here is a picture symbolising a question & answer to an indices question.

I hope this guide helps you!