What are some tips, tools and methods that I can use in solving proofs? my geometry teacher is trying her best, but nobody in our class can grasp the concept of solving proofs. We are still on...
my geometry teacher is trying her best, but nobody in our class can grasp the concept of solving proofs. We are still on chapter 2 and it's been 6 months already. I need help before I fail this class. Please, send me any information on methods that I can use to solve proofs and also help my teacher and class understand it. THX
I always tell my students that when doing proofs 1) you must know what is given and 2)you must know what you know.
In other words, if it is a proof concerning triangles, what do you know about triangles? (equilateral, isosceles, etc.) If you cannot identify what is given and what you already know about what is given, then you don't know where to start.
Try writing down what you are given, then what you know based ONLY on what you are given(don't assume anything), then write down what it is you are trying to prove. Once you have a starting point, it should be easier to see where you need to go with your information. (ie - if you are trying to prove something about side lengths of triangles, pull from those concepts that yield info about the lengths of sides of triangles)
Maybe you should post a few specific questions and use those responses to help with other proofs. Check out the link and pay particular attention to the "Methods of Proofs" section.
As of now i'm passing geometry with an A and am understanding the proofs, so my advise to you would be have a plan! Know what your given, know what your trying to prove and start thinking of ways to accomplish what your trying to prove. In triangle proofs DON'T every forget your reflection property, it comes in handy very often. :) Also, never assume that the person reading your proof will know something, more info is always better. After a while you will start noticing some patters occuring and it will really help so before your test look at ALL your examples and maybe try re-doing some of the difficult ones from previous homework assignments.
When study try making flash cards of all your theorems and properties, it may take some work, but i find after you have written them and then practiced with them it is very helpful. Don't forget to include examples on them.
Hope this helps you and good luck :)