Math Class: Chapter 2 Learning Targets!! by Brian Shanahan

Learning Target 1: I can recognize the need for clarity and consicision in proofs.

bshanahan973 — 2014-09-28 18:17:46 UTC

When writing out proofs you need to give numbers to represent each step that is taken for each problem. Therefore, you can have a nice clean proof with a statements and reason column. I have improved myself with my proofs because I know it is important to have make a well laid out proof to be seen.

Learning Target 2: I can understand the concept of perpendicularity.

bshanahan973 — 2014-09-28 18:20:45 UTC

Perpendicularity is when two rays, lines or segments intersect to form a right angle. Then when we show this we use an upside down capital T to signify these two rays, segments or lines are perpendicular. I have done well with this topic but have struggled with using this in proofs because I can mess up the If, Then statement for using them.

Learning Target 3: I can recognize complementary and supplementary angles.

bshanahan973 — 2014-09-28 18:25:00 UTC

I started out well with this subject area but then it hurt me when it came down to solving equations with supplementary and complementary angles. I know that supplementary angles are larger meaning that two angles sum to 180 degrees. However, complementary angles sum to 90 degrees. This means that supplementary angles are made by a straight angle. Also, complementary angles are formed by a right angle. When solving for these two you use the equation of: (180-x) for supp. and (90-x) for complemmentary.

Learning Target 5: I can prove an angle is congruent by using complementary and supplementary theorems.

bshanahan973 — 2014-09-28 18:30:16 UTC

In proofs supplementary and complementary angles are used very frequently between right and straight angles. These theorems help to prove angle congruency because complements and supplements are two measure where one is larger than the other. For example, from the picture there are commplementary angles that are proven to be congrunet because they have equal sums and are bisected by segments.

Learning Target 9: I can apply the transitive properties of angles and segments.

bshanahan973 — 2014-09-28 18:35:21 UTC

The transitive property mentions that if two angles are congruent to the same angle then they are congruent. I have done very well with this topic because I fully understand how the congruency between angles works. So if one angle is congruent to another then so can a third if it is congruent to all of them.

Learning Target 10: I can apply the Substitution Property.

bshanahan973 — 2014-09-28 18:38:57 UTC

The Substitution property states that if you start with one larger angle and need to prove smaller angles then you can subtract them and then the difference will be congruent. This works out to be very important because it can be used to prove many angles and segments and how they are congruent. I have not done too well with this subject because I still dont get how to subtract angles to get the congruent difference.

Learning Target 12: I can recognize vertical angles

bshanahan973 — 2014-09-28 18:43:46 UTC

Vertical angles are those that are directly across from one another and are congruent to one another. This is a very important step in proving that other non vertical angles are congruent because you can use other methods (supp./comp) to prove that they are equal. I have done very well with this because I have used it before and understood it well back then.

Learning Target 6: I can apply the addition property of segments/angles

bshanahan973 — 2014-09-28 18:46:30 UTC

The addition property is used to start with smaller congruent pieces and to end with larger pieces that are congruent as well. I have done well with this topic because I understand how you need to add congruent segs to get larger congrunet segs

Learning Target 12: I can recognize opposite rays.

bshanahan973 — 2014-09-28 19:42:37 UTC

I actually didn't know what opposite rays were until I looked them up and found this good video. I know that opposite rays are those that form a straight line and go in complete opposite directions of each. They have to make a 180 degree angle to be considered opposite rays otherwise they are not.