Showing posts with label linear systems of equations. Show all posts
Showing posts with label linear systems of equations. Show all posts

Tuesday, October 7, 2008

Selection Reflection

So.. this is a personal blog post to myself. To look back and reflect on linear systems of equations while studying for the exam!!!
First thing we learnt was THE SUBSTITUTION METHOD.
It wasn't to bad just need to go through the steps into finding out the equation. Remember to plug the answer back into the equation to find out if its right.
Second thing we learnt was LINEAR COMBINATION ( ADDITION SUBTRACTION METHOD).
Just need to remember to line them up and when to add and when to subtract.
Third thing we learnt was SYSTEM TYPES NAMES.
Consistent system( one unique ordered pair solution).
Inconsistent system(no solution).
Dependant system(infinitely many solutions, in ordered pair).
Forth thing we learnt and the final thing we learnt was WORD PROBLEMS. AHHHH! OK i did not get this! I think my problem was that I just didn't know the steps to each problems. Once i get and understand the steps i can work through it. There are example problems on the coursework drive they did help. RULES:
  1. Define two variables( linked some how).
  2. Create two equations using two Variables.

So.. that was all the different things we learnt in this unit. I understand it for the most part beside WORD PROBLEMS. Before the exam I really need to get a good understanding on how word problems really work and each steps. ReMeMbEr when using the calculator or graphmatic to check the answers to always explain the steeps you did while using the programs.



Selection Reflection

To help me study for the Grade 11 Applied math exam.
The first thing that we worked on was "Systems Of Linear Equations," we did alot of graphing for that with that Graphmatica program and using our Graphing calculators.
The next thing we learned was about was how to solve Linear Equations algebraically by a method called the "Substitution Method" which was pretty easy once you get to know how to do it correctly. Then Mr. Maksymchuk showed us another method called, "Addition/Subtraction" method which was alot quicker to solve problems with.
We learned about the names of the different systems, "Inconsistent," "Consistent," and "Dependant." Later on we started Accelerated Math, I found this alot easier to use because it was multiple choice xD. We learned about solving "Word Problems" and various ways to solve them, I wasn't so good at these "Word Problems" so I should look back on them, I don't know how to use that excel program for them either... All of the work we do on the computers and using graphing calculators is new to me because I never took a grade 10 Applied math course, I took grade 10 precalculus twice :P. I hope to do well in this class and pass it. I hope this post will help me in the future, when I look back on this. Yeah!!!

Selection Reflection

So we started off with learning what a system is. A system is two or more equations(or inequalities) being considered simultaneously.
ex. y=2x+5
y=-3x-1
those two equations is a system.

We started on the Substitution Method. This method is where we have to substitute numbers in equations. I found this to be pretty easy and i enjoyed learning about it. I love solving equations and i found it to be interesting.

We then learned a different Method. The Addition/Subtraction Method. This is where you line up the variables and either subtract or add. I found this method to be very easy as well. I got it right away and i was happy that i didn't have any frustrating times with it.

Mr. Max explained both of these methods very well, and his notes helped me a lot. I also liked how we can chose what kind of method we liked best and not have to only learn one.

Mr. Max also taught us about System Types/Names.
Consistent System: One, unique ordered pair solution
Inconsistent System: No solutions
Dependent System: Infinitely many solutions in ordered pairs

After learning this we moved on to something that i don't even want to mention. I hated this part so much. I did not find this easy as i did with the methods that we learned first. This was called Word Problems. I did not get anything about this. I tried to get it when Mr. Max was teaching us, but it just didn't seem to go through my brain. He told us to look on the course work drive for some sample word problems that he did in the past. After i looked through those (quite a few times), i seemed to understand it a little bit more than i did before.
Here are the rules:
Define two variables(linked somehow)
Create two equations using the two variables

We also used graphmatica to figure out some problems and to check our answers.
We can either use our calculators or graphmatica to check our answers when we are finished a problem to make sure we got the right answer.

So for the exam, i will have to get a good understanding of Word Problems. I think if i look more on the course work drive and practice questions more i will be able to eventually get it! :).

Selection Reflection

Well, we had stated this year off with Linear Equations, then we learned how to solve systems. We had a lot of math to do without using ANY kind of electronic devices, and to me this way without is a lot better. Cause then when we are asked to show our work on a test or on a exam then we can show the work.
Then we had moved on to the Substitution Method. There was two of them, the first one is Addition Substitution Method (ASM), and the second is Subtraction Substitution Method (SSM). I use these letters in the brackets so that I can remember them easier, and it really does help.
Then we moved on to the Word Problems.

So by posting this I shall look back in a little while and re-teach myself what I have already learned so when it comes to a test day or exam time I can go back to the questions from the begining of the semester.

October 7th/2008
T8

selection reflection

This post is to remind me of what I learned in this unit, linear systems of equations. I hope that this post will come in handy when tests and the exam comes around.

So linear systems of equations, what have we learned? Well we have learned how to solve linear systems using algebra. Once we got that down we learned how to solve using the adding subtracting method. After that we could use our calculators and Graphmatica. Then we learnt about the different systems, dependent, inconsistent and, consistent.

After all of that we started on word problems. We learnt how to use Excel to help us find the answer the word problems, I cant fugue out how to get Excel to work. That's all that we have learnt about so far, I hope this helps.

Monday, October 6, 2008

Selection Reflection

This year we started by doing linear equations.




Then we learned how to solve systems of linear equations. We then learned how to identify the different types of linear equations (Inconsistent, Dependent, Independent,Etc.), then we started on the substitution method.



Then we moved on to the addition/subtraction method.



By then we have a deadline on mental math for 15 mastered objectives.
And the last thing we did was word problems and I think they were the hardest thing to do.

I decided to post all of the pictures from each unit so that if the network isn't working, you can still look at some of them somewhere.

selection reflection

This is a reminder of the first unit to remind myself, and possibly help me study for the exam. Maybe it'll help you to.
Our first unit was about solving systems of linear equations. We moved into learning about how we can solve them and different ways to find answers. Going over the substitution method, and then the addition subtraction method, I think i had a decent handle on both of them. Being a former precalc kid, it came kindof easily... it was the calculator, and the computer that i had to get used to.(As wierd as that sounds.)
Learning about the different types of systems (consistant, inconsistant, and dependent) was ok, after some repetition it was easy to remember. Accelerated math is helping me stay on track, last year I was way behind in almost everything, hense the fact i almost failed...
I have a handle on this unit, and i did pretty well on the test. The word problem quiz scared me because I wasn't very confident in what i was doing, at all.. but after the quiz was finished I feel better about those kinds of questions. (it wouldn't hurt to keep those notes close by for the exam though.)
So far, i feel pretty good, and i think ill be ok when it comes to the exam. At least if i need help studying, ill always have the blog to look back on.