AGT Ch. 1_JPop by JULIA POP https://padlet.com/jpop/crqe6tjje8lq Portfolio Assignment en-us 2017-08-28 16:16:34 UTC 2024-11-26 15:08:01 UTC hello@padlet.com There are four elements of deductive structure: undefined terms, definitions, postulates, and theorems. This structure is the basis for writing proofs and developing understanding of new concepts. Without these four things we cannot prove anything in geometry. jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183165007 2017-08-28 16:23:19 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183165007 There are decimal degrees and degrees utilizing minutes and seconds. In each degree, there are 60 minutes, and in each minute, there are sixty seconds. jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183282457 REMEMBER,
In order to convert, either multiply the decimal by, or place the fraction over 60. When solving clock problems don't forget to multiply the fraction as well as the whole numbers by 30. ]]> 2017-08-29 01:37:04 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183282457 Collinear points lie on the same line whereas noncollinear points do not. jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183282891 REMEMBER,
Two points are always collinear even if there isn't a line drawn through them.]]> 2017-08-29 01:40:24 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183282891 Diagrams can include vital and sometimes the only given information we have. It's important that we are able to interpret them correctly, so we have a strong foundation for our proofs. jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183283220 REMEMBER,
A union is the combination of two points, segments, rays etc. while an intersection is where they intersect or overlap. 

Tick marks indicate congruence.]]> 2017-08-29 01:42:38 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183283220 You Can Assume... jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183285168 Straight lines/ angles
Collinearity of points
Betweeness of points
Relative position of points]]> 2017-08-29 01:53:17 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183285168 You Cannot Assume... jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183285282 Right angles
Congruent angles/ segments
relative size of segments/ angles]]> 2017-08-29 01:54:14 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183285282 Proofs are important because they are what allow mathematicians to move math forward. Two column proofs are a method of writing your proofs that make it easier to read, and help you understand the structure so you can excel when you move on to paragraph proofs. jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183285911
REMEMBER
On the left of a column you have statements, and on the right you have reasons. The left side contains specifics to the problem being worked on, and the right side contains definitions and theorems that justify the statement. ]]> 2017-08-29 01:57:22 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183285911 REMEMBER jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183286661 When doing deductive reasoning, begin with letters that only appear once, and then use the order to check your hypothesis.]]> 2017-08-29 02:01:02 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183286661 Paragraph proofs are important for the same reasons that two column proofs are, but moreover, they are the preferred method of mathematicians writing in journals and essays. We need to be able to not only understand what they're writing, but one day be able to write proofs with the same level of confidence. jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183628190 2017-08-30 10:06:52 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183628190 REMEMBER jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183628414 Use words like,
since
therefore
according to the diagram]]> 2017-08-30 10:09:18 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183628414 Converse- switch order jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183628798 Inverse- same order both -
contrapositive- switch order both -]]> 2017-08-30 10:15:03 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183628798 Undefined term, postulates, and definitions, are the building blocks we use in our proofs. They are necessary to continue in geometry. jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183629124 2017-08-30 10:19:29 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183629124 REMEMBER jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183629143 Undefined terms include lines and points. 
A postulate is something we believe but do not prove to be true.]]> 2017-08-30 10:19:50 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183629143 The conditional of a theorem is what we include in our proof. Sometimes, the other forms we have learned are necessary to continue the chain of deductive reasoning. jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183629399 2017-08-30 10:22:05 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183629399 The chain rule is how we know what order to put our reasons in when writing proofs. Since that is important, we must be able to use the chain rule well. jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183629504 2017-08-30 10:22:58 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183629504 Probability is a way to apply some of the things we've been learning. Here's an example. If one of the four points is picked at random, what is the probability the the point lies on the angle? jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183629615 REMEMBER
Probability is number of winners over number of possibilities. ]]> 2017-08-30 10:23:50 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183629615 https://www.texasgateway.org/resource/connecting-postulates-definitions-and-theorems jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183631534 2017-08-30 10:42:40 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183631534 https://www.varsitytutors.com/hotmath/hotmath_help/topics/converse-inverse-contrapositive jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183632085 2017-08-30 10:47:47 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183632085 jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183633946 2017-08-30 11:02:38 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183633946 jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183634263 2017-08-30 11:05:09 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183634263 jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183634429 2017-08-30 11:06:16 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183634429 jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183634532 2017-08-30 11:06:58 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183634532 jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183634601 2017-08-30 11:07:31 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183634601 jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183634657 2017-08-30 11:08:04 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183634657 jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183634738 2017-08-30 11:08:34 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183634738 jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183634927 2017-08-30 11:10:16 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183634927 jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183634962 2017-08-30 11:10:39 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183634962 jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183635024 2017-08-30 11:11:20 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183635024 jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183635082 2017-08-30 11:11:43 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183635082 jpop https://padlet.com/jpop/crqe6tjje8lq/wish/183635560 I have developed a better understanding of the chain rule by going in after class, reviewing my notes, and doing extra problems. Overall I improved by correcting and noting the mistakes I made on the quiz, and what I can do to prevent them. It helped me to make a list of things to remember, so I can focus on studying things I have trouble with instead of things I already know. I feel very confident for the upcoming test because of the work I have done to prepare. ]]> 2017-08-30 11:15:08 UTC https://padlet.com/jpop/crqe6tjje8lq/wish/183635560