BIBILIOGRAPHY

BIBLIOGRAPHY:

My math notebook, information given my math teacher Consuelo Vega

ONLINE LINKS

This pages that I will write will help you practice the subjects I explained earlier


Information:

this webpage not only contains information about the subjects I mentioned earlier but all mathematics
http://mathworld.wolfram.com/

this webpage contains information about order of operations
http://www.mathsisfun.com/operation-order-pemdas.html

this webpage contains information about equations
http://www.aaamath.com/equ.htm

Games:

there is a page that has links to 3 games about order of operations plus information
http://webspace.ship.edu/kjpres/WebQuests/PEMDAS.htm


there is a webpage with over 10 links to equation games
http://www.math-videos-online.com/solving-equations-games.html

this webpage helps you memorize the distributive property
http://www.studystack.com/matching-1870

excel file: in the following link you will see a graph that involves solving equations.
http://www.mediafire.com/?sharekey=55c9e7f2eb0483196e7203eb87368129e04e75f6e8ebb871

DISTRIBUTIVE AND COMMUTATIVE PROPERTIES

The distributive and the commutative properties are very useful they can make your problems much easear the commutative property states that the order in which an operation is putted does not matter in a problem but this only works for additions and multiplications they do not work for substractions and divisions becuase if you apply the commutative property in any of these last two operations you will get a wrong answer

Examples:
addition
3+2=5
and
2+3=5 they both get you to the same answer

multiplication
5*8=40
and
8*5=40 they both get you to the same answer

substraction
8-4=4
and
4-8=-4 they do not get you the same answer

division
2/1=2
and
1/2=1 half they do not get you the same answer

The distributive property only works for division and multiplication this states that you can divide or multiply any number separately if you have a group of numbers inside a paranthesis and one outside, you can also change from factored to expanded form or the other way around.

examples:
multiplication
5 (8+5-6)
you can do this
(5*8)+(5*5)-(5*6)
40+25-30
75-30=45

division
(8+10+4+2)/2
you can do this
4+5+2+1
9+3=12

PEMDAS

PEMDAS is a major subject in this unit this is not only part of this unit but it is a rule for everyday life, this is an order followed by everyone to get the same answer in any type of equations P stands for paranthesis E stands for exponent the M stands for multyplication D stands for division A stands for addition and S stands for substraction, altough multiplication and division are in the same "rate" as well as additon and substraction.



A simple way to remember this is as "Please Excuse My Dear Aunt Sally" if you do not remember this you will make common mistakes that everyone does that will ruin your answer completely and if it is a test you will get a bad grade, this is for example to add two numbers instead of multypling a good example is 2+3 (8) most people when they do not follow pemdas would put 40 becuase they add 2+3 and then multiply when first they have to multiply and then add so the answer would be 26, for our good luck calculators already have this function automatically.

another common mistake would be:
8 (20+2)
many people would do
(160+2)= 162
when the real answer is
8 (22)= 176

a nice example of order of operations is
(8+2) 5+4/2-1
first you would paranthesis
(10) 5+4/2-1
because there is no exponent you do multiplications.
50+4/2-1
then you do division
50+2-1
then you do additon
54-1
finally you do substraction
=53

SOLVING EQUATIONS

In this unit called "Making Sense Of Symbols" solving equations, is a major subject. Equations are probably one of the most important and useful things in math, you use this for making graphs, you can get the slope, the y-intercept, of course a coordinate with and x and a y value (x,y) each value has an equavalent or respective y value.

the basic form of an equation is y=mx+b. in this equation y stands for the y value of the coordiante b stands for the slope x stands for the x value of the coordinate and finally the b stands for the y-intercept.

to get the slope:
first you choose to points from the graph in this case (3,2) and (5,4)
so the formula is (y2-y1) /(x2-x1)
so (4-2) /(5-3)
then 2/2=1
so the slope is 1

to get the y-intercept:
you take one of the coordinates and you put them in the equation with the slope
4=5(1)+b
4=5+b
4=5+-1
so the y-intercept would be -1

to do a graph:
you can do a table of values by ploting many x-values into the equation and making a line with all those values that you get, or you can start from the y-intercept that you get and then calculate the slope with rise over run.

INTRODUCTION

Hi everyone, my name is Pablo Martin Lucio Paredes, I am student here in Ecuador at Colegio Menor San Francisco de Quito, in eight grade, in my math and computer they assigned a project in which I have to do a blog with five posts, on a selected unit, I selected making sense of symbols it involves equivalent expressions, commutative and distributive properties, solving equations, properties of equalities, and finally order of operations PEMDAS.

My goal is to create a group of projects that are put in together in a post Whit formulas tables programs, games etc. My audience in this project i tough it would be students studying this topic who would like a fine summary about this topic, my situation is that I am demanded to do this project in my school, my role is to help students with difficulties in this area, all together make a blog with five posts summarizing this topic.

In this blog I am going to be using five posts and i am going to be using 3 programs excel for making tables and graphs that explaing the subject, of course blogger to make the blog, and and fireworks to make a poster as a front cover for this project, it is going to be a really good summary and with i will link it is going to be better.