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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. 

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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. 

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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.

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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.

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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.

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Collinear points lie on the same line whereas noncollinear points do not. 

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Collinear points lie on the same line whereas noncollinear points do not. 

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REMEMBER,
Two points are always collinear even if there isn't a line drawn through them.

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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. 

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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. 

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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.

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Straight lines/ angles
Collinearity of points
Betweeness of points
Relative position of points

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Right angles
Congruent angles/ segments
relative size of segments/ angles

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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. 

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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. 

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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.

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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. 

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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. 

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Use words like,
since
therefore
according to the diagram

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Undefined term, postulates, and definitions, are the building blocks we use in our proofs. They are necessary to continue in geometry. 

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Undefined term, postulates, and definitions, are the building blocks we use in our proofs. They are necessary to continue in geometry. 

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Undefined terms include lines and points.
A postulate is something we believe but do not prove to be true.

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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. 

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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. 

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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. 

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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. 

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When doing deductive reasoning, begin with letters that only appear once, and then use the order to check your hypothesis.

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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?

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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?

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REMEMBER
Probability is number of winners over number of possibilities.

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Inverse- same order both -
contrapositive- switch order both -

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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.