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Emma's Blog :)
This blog is for Miss Jovanovich's algebra and geometry classes to share ideas, ask questions, and reflect on what skills and topics we are studying. If we are lucky, we might even get a chance to connect with other students studying the same stuff.
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Blog Entries
Conditions of Use
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Top 10 Advice for Incoming Freshmen
Article posted June 14, 2012 at 09:06 PM GMT •
comment • Reads 180
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Hello everyone!
As you may know, the end of the year is quickly approaching! In fact, we are out of school in two days. This means that I will no longer be a freshmen. I will be a sophomore, and have to show the freshmen the way to go! Here's my top ten advice for the incoming freshmen!
1. Get involved in extra curricular activities. They're a great way to meet people.
2. Never procrastinate.
3. Always use your best effort. It won't go unnoticed.
4.Get to know one of your teachers really well. They can be a great resource!
5. Study without distractions. It will pay off.
6. Don't crowd the hallways in between classes.
7. Don't be afraid to ask questions if you don't understand something.
8. The upperclassmen aren't scary.
9. Sit with as many people as you want at lunch. There's no restrictions.
10. Don't over stress!
Hopefully that helps those of you new freshmen! Good luck :)
-Emma
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Article posted June 14, 2012 at 09:06 PM GMT •
comment • Reads 180
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Weekly Blog 26
Article posted June 10, 2012 at 03:17 PM GMT •
comment • Reads 207
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Hello again!
As we are approaching our final exam next week, we are continuing to post review questions! These are aimed to help us remember the concepts we have learned this semester!
The question I'm going to ask takes us back a chapter, and deals with triangles! Be sure to blog back with any questions.
Q: A triangle has side lengths of 8cm, 11cm, and 14cm. Classify this triangle as acute, obtuse, or right.
A: OBTUSE
To find this answer, we first begin with the Pythagorean theorem (A squared + B squared = c squared). So, when we plug in what is known, our formula becomes 64 + 121 = 196. Here's the rule to classify:
IF (A squared + b squared > C squared) then the triangle is acute.
IF (A squared + b squared < C squared) then the triangle is obtuse.
IF (A squared + b squared = C squared) then the triangle is right.
In our formula, 64 + 121 = 185. Because 185 < 196, then the triangle is obtuse!
Hope that helped and you learned something knew!
This is my last weekly blog... but I'll be writing occasionally until the end of the year. Talk to you then!
Emma
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Article posted June 10, 2012 at 03:17 PM GMT •
comment • Reads 207
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Weekly Blog 25
Article posted June 10, 2012 at 02:58 PM GMT •
comment • Reads 209
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Hello fellow bloggers!
As you may know, it is approaching the end of the school year. To be exact, we only have 11 days left of school! I am very excited, but with this comes our final exams. We are all very busy preparing and studying the material we have learned since January. To help us remember some of those things, Ms. Jovanovich has asked us to write a question and answer that we have previously studied.
The question I am going to ask relates to what I talked about last week: the functions of sin, cosine, and tangent. Try it out!
Q: Explain why tan60 degrees will always equal root 3.
A: In the function tangent, T= opposite/adjacent. The opposite side is opposite the 60 degree angle, meaning it is the long side. The adjacent side is the shorter side because it is opposite the 30 degree angle. If you look back a couple blogs, you will recall that I talked about right triangle rules. One states that the long side of a 30, 60, 90, right triangle will always equal root 3 * short side. Because one side is the long and one is the short, the formula would look as follows:
tan(60)= (root 3 * short side)/ short side. This is derived from the formula: tan(60)= opposite/adjacent.
The opposite side is the long side (root 3 * short side) and the adjacent side is the short side. When you cross cancel short side, you are left with root 3. So, tan(60) will always equal root 3.
Blog back with questions!
-Emma
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Article posted June 10, 2012 at 02:58 PM GMT •
comment • Reads 209
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Weekly Blog 24- SOH CAH TOA
Article posted May 26, 2012 at 01:29 PM GMT •
comment • Reads 60
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Hello again!
This week in geometry we have been learning all about trigonometry! This is a very new concept for all of us, because we have never learned it in the past. However, I really enjoy it!
There are 3 functions, cosine, sine, and tangent. These all help to fine a side length: the opposite, adjacent, and hypotenuse. Sometimes it can even help find an angle.
The three functions are each used to find a different side length. Let's take a look:
Sine- Used to find the OPPOSITE or HYPOTENUSE. A good way to remember this is the acronym, SOH.
Cosine- Used to find the ADJACENT or HYPOTENUSE. A good way to remember this is the acronym, CAH.
Tangent- Used to find the OPPOSITE or ADJACENT. A good way to remember this is the acronym, TOA.
It can be difficult to remember all this, but if you follow SOH CAH TOA it will make it a lot easier!
Hope this helps!
Have a good weekend,
-Emma
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Article posted May 26, 2012 at 01:29 PM GMT •
comment • Reads 60
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Weekly Blog 23- Areas
Article posted May 21, 2012 at 01:17 AM GMT •
comment • Reads 31
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Hello fellow bloggers!
This week we learned all about areas in geometry class. In fact, we just took a test on them. Very early on we learn the basic ones: rectangle, square, triangle. However, there are many more formulas to finding areas that I have just learned!
Here's a list:
Rectangle/Square/Parallelogram: A=Base x Height
Trapezoid: A= 1/2Height x Base 1 + Base 2
Rhombus/Kite: A= 1/2 Diagonal 1 x Diagonal 2
Regular Polygon: A= 1/2 Apothem x Perimeter
My favorite area to find is the rhombus. This is because I never knew how to do it before just a couple days ago. I find it fascinating to learn new things! Also, there is sometimes algebra involved, which I really enjoy!
What's your favorite?
Hope you have a good week!
Emma
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Article posted May 21, 2012 at 01:17 AM GMT •
comment • Reads 31
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Weekly Blog 22
Article posted May 14, 2012 at 06:34 PM GMT •
comment • Reads 30
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Hello again!
Lately we have been learning about right triangles. Sometimes, when given one or two side lengths it can be hard to find the third, but I have a method that can help.
In a triangle with two 45 degree angles and one 90 degree angle:
-To find the hypotenuse: H= root 2 * side
You can remember this works for this type of triangle because there are two 45 degree angles, so root 2!
In a triangle with a 30 degree angle, 60 degree angle, and 90 degree angle:
-To find the hypotenuse: H= 2 * short side
-To find the long side: L= root 3 * short side
You can remember this by knowing that there is a 30 degree angle, so there has to be a short side!
Hope that helps!
Have a good week,
Emma
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Article posted May 14, 2012 at 06:34 PM GMT •
comment • Reads 30
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Weekly Blog 22
Article posted May 14, 2009 at 06:00 AM GMT •
comment • Reads 21
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Hello again!
Lately we have been learning about right triangles. Sometimes, when given one or two side lengths it can be hard to find the third, but I have a method that can help.
In a triangle with two 45 degree angles and one 90 degree angle:
-To find the hypotenuse: H= root 2 * side
You can remember this works for this type of triangle because there are two 45 degree angles, so root 2!
In a triangle with a 30 degree angle, 60 degree angle, and 90 degree angle:
-To find the hypotenuse: H= 2 * short side
-To find the long side: L= root 3 * short side
You can remember this by knowing that there is a 30 degree angle, so there has to be a short side!
Hope that helps!
Have a good week,
Emma
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Article posted May 14, 2009 at 06:00 AM GMT •
comment • Reads 21
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Weekly Blog 21
Article posted May 7, 2012 at 12:42 AM GMT •
comment • Reads 74
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Hello again!
I'm sure many of you have heard of the Pythagorean theorem, but do you really know what it is? If not, I am here to tell you! This theorem is used to find the area of triangles, where each side corresponds with a letter (A, B, or C). It is as follows:
A squared * B squared= C squared.
Although I learned this last year in algebra, it was good to refresh my memory. Also, this year we are doing more complex things with it, such as finding the area of other shapes. Some of these other shapes include trapezoids, rhombuses, and kites. When it is used in these shapes, it helps find one of the side or diagonal lengths. I really enjoy using this because it is an equation!
Comment with any questions and hope you have a good week!
-Emma
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Article posted May 7, 2012 at 12:42 AM GMT •
comment • Reads 74
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Weekly Blog 20- Radicals
Article posted April 29, 2012 at 12:32 AM GMT •
comment • Reads 47
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Hello fellow bloggers!
This past week we jumped back into algebra by refreshing our minds on radicals! Put simply, radicals are square roots. Right now we are working on simplifying them into simplest radical form. This is when they can no longer be broken down any further. Ms. Jovanovich has taught us that the best way to do this is to use prime factorization!
Although just refreshing now, next week we will apply radicals to geometry. We will be using them to find the area of shapes.
I'm very excited to start this unit because I feel more comfortable with algebra concepts than I do with geometry. I'm interested in seeing how I like radicals when applied to geometry! Hopefully they'll be just as fun as they were in algebra!
See you next week,
Emma
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Article posted April 29, 2012 at 12:32 AM GMT •
comment • Reads 47
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Weekly Blog 19
Article posted April 14, 2012 at 06:03 PM GMT •
comment • Reads 35
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Hello again!
This past week we continued to learn about transformations! However, this time we were focusing on reflections. In the past we have learned about these, but this time it was more complex. At first I thought they were a little difficult, but now I'm more confident with them.
There are two things you need for a reflection:
1. A preimage
2. A line of reflection
You then reflect the points to the opposite side of the line of reflection. Make sure that they are on a line perpendicular to the line of reflection.
With these two things, you can successfully create an image, or reflection! Give it a try!
This week is April Vacation for us. Hope you have a good week!
Emma
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Article posted April 14, 2012 at 06:03 PM GMT •
comment • Reads 35
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Weekly Blog 18
Article posted April 5, 2012 at 12:38 PM GMT •
comment • Reads 51
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Hello everybody!
To start off the new quarter, we have started a new unit in geometry! We are beginning to learn more about transformations. These include translations, rotations, dilations, and reflections. At the moment, we are focusing on translations. After doing the homework assigned, I discovered that I enjoy this unit. In some ways it incorporates a little bit of algebra because we are working with coordinates and vectors. So far, it hasn't been too challenging, but I'll have to wait and see what we learn today!
We have tomorrow off from school, and I'm excited to get some rest! Hope you have a good weekend. Comment with any questions!
See you later,
Emma
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Article posted April 5, 2012 at 12:38 PM GMT •
comment • Reads 51
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Weekly Blog 17
Article posted April 1, 2012 at 02:10 AM GMT •
comment • Reads 59
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Hi Everyone!
Like I mentioned last week, Friday marked the end of the quarter in school! To wrap up, we took a test in geometry on Chapter 6. It was all about properties of quadrilaterals! I found this to be very challenging because there was a lot of memorization involved. However, I studied very hard and I ended up doing really well on the test!
Prior to our exam, we also learned more about coordinate proofs. We learned how to map out the coordinates by ourselves, rather than having them given to us. This added even another element to remember with proofs! As the week went on though, I began to feel more comfortable with the new material!
Hopefully the weather will begin to get warm as we approach April!
Happy spring!
Talk later,
Emma
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Article posted April 1, 2012 at 02:10 AM GMT •
comment • Reads 59
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Weekly Blog 16- End of Quarter
Article posted March 25, 2012 at 09:58 PM GMT •
comment • Reads 69
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Hello again!
This upcoming week is the last in the quarter! It seems like just yesterday we were beginning the first day of school. The year has definitely flown by!
To conclude the quarter, we are having a test in geometry on Friday! It is going to be on quadrilaterals. That includes the definitions and the properties of them. I found this very interesting because quadrilaterals used to seem very simple, and now I know that there is much more to them!
I am going to study very hard and work to keep a good grade in geometry for the remainder of the quarter. Hopefully I will be able to study and use my knowledge to succeed!
Good luck with everything this week! Make sure you learn more about quadrilaterals if you haven't already- they're more interesting than they seem!
Until next time,
Emma
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Article posted March 25, 2012 at 09:58 PM GMT •
comment • Reads 69
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Weekly Blog 15- Quadrilaterals
Article posted March 16, 2012 at 12:47 PM GMT •
comment • Reads 44
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Hello everyone!
This past week we learned all about quadrilaterals. Although we have reviewed these in past years, there are many characteristics that I have just learned about them! The following shapes are quadrilaterals:
-Parallelogram
-Rectangle
-Square
-Rhombus
-Trapezoid
-Isosceles Trapezoid
-Kite
These shapes can be classified as each other. For example, a rectangle can sometimes be a parallelogram. What I found most interesting is that when a rhombus classifies as a rectangle, it is a square! Hope you found this interesting as well and learned something new!
On another note, we also took NWEA's this week. The NWEA is a standardized test that is taken in the spring and the fall. This time, I believe that I improved from my fall score! I was expecting to see more questions related to geometry on the test, but I found that there was much more that involved algebra!
Hope you're doing well in school!
Until next time,
Emma
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Article posted March 16, 2012 at 12:47 PM GMT •
comment • Reads 44
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Weekly Blog 14- Test
Article posted March 9, 2012 at 02:02 AM GMT •
comment • Reads 47
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Hello again!
On Wednesday, we had a test in geometry! It included subjects we had been learning about since before February vacation, so there was a lot to remember!
There were coordinate proofs, indirect proofs (which I talked about last week), lines of triangles, points of concurrency, and equations of lines included on the test.
I studied very hard and I am hoping that I was successful! I am glad that it is over with, and I am excited to see what is in store for us next!
Hope that you all do well with your various tests and quizzes!
See you next week,
Emma
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Article posted March 9, 2012 at 02:02 AM GMT •
comment • Reads 47
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Weekly Blog 13- Indirect Proofs
Article posted March 3, 2012 at 01:35 AM GMT •
comment • Reads 65
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Hello fellow bloggers!
It has been quite a while since we last talked! Last week we were on February vacation. It was nice to relax and take some time off from school. I hope you enjoyed yourself!
However, now that the we are getting back into the swing of things, we have started to learn more in geometry. This past week we learned about indirect proofs. These proofs are much like paragraph proofs, but instead you are assuming the opposite of what is being proven! This helps to lead you to a conclusion. Although it is a hard concept to grasp, I think I have gotten better at it this week!
Comment if you have any questions!
Have a fantastic week :)
Emma
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Article posted March 3, 2012 at 01:35 AM GMT •
comment • Reads 65
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Weekly Blog 12
Article posted February 18, 2012 at 03:14 AM GMT •
comment • Reads 51
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Hello everyone!
This week we are on February vacation! I am very excited to take a much needed break and just relax.
This past week in geometry we were assigned a project. Our assignment is to make a poster on either a median, altitude, perpendicular bisector, or angle bisector and show their points of concurrency. I was given an altitude. As you may know from my last blog post, the point of concurrency for an altitude is an orthocenter!
I hope I am able to be very creative with this project. Wish me luck!
Hope you spend a fun filled week whether you're on vacation or not!
-Emma
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Article posted February 18, 2012 at 03:14 AM GMT •
comment • Reads 51
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Weekly Blog 11
Article posted February 11, 2012 at 08:19 PM GMT •
comment • Reads 81
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Hello everyone!
This past week in geometry we learned all about points of concurrency in a triangle. A concurreny point is where 3 or more lines all intersect in one point. The four lines that have concurrency points are medians, altitudes, perpendicular bisectors, and altitudes. Each one has a specific name for its point of concurrency. Our teacher, Ms. Jovanovich, taught us this acronym to help us remember, MAPA COCI (where the M corresponds with the C). Here it is in action:
Median- Centroid
Altitude- Orthocenter
Perpendicular bisector- Circumcenter
Altitude- Incenter
I hope this helps you, I know it sure helped me!
Until next time,
Emma
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Article posted February 11, 2012 at 08:19 PM GMT •
comment • Reads 81
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Weekly Blog 10- Scratch
Article posted January 29, 2012 at 04:48 PM GMT •
comment (3) • Reads 429
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Hello Everyone!
This past week, our geometry class learned of a website called Scratch. It was created by MIT, and it has some very fun and interesting programs! While searching through all they have to offer, I found my favorite program was 3D MazeMe! In this game, you pick your difficulty (easy, normal, hard) and use the arrow keys to move yourself through the maze. I have to say, it was fairly difficult and took me a few tries to get from start to finish! However, once I had completed it, I realized that I really enjoyed it. It was a fun and different way of doing a maze, and I'm always up for a challenge!
Here's the link if you would like to try it:
http://scratch.mit.edu/projects/MeTwo/1652740
You should definitely check out the site, there is sure to be something of your interest!
See you next time,
Emma
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Article posted January 29, 2012 at 04:48 PM GMT •
comment (3) • Reads 429
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Weekly Blog 9- Midterm Preparation
Article posted January 16, 2012 at 03:18 AM GMT •
comment • Reads 72
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Hello fellow bloggers!
As you may know, this coming week, we have midterm exams! My geometry exam is on Friday, which gives me time to study, but I have already began preparation. I have studied by going over my notes, tests, and completing problems from the text book.
One problem I have completed so far involves planning a proof. The book shows you a parallelogram with overlapping triangles, and the main goal is to prove two parts of the polygon are congruent. We can do this by proving two triangles congruent and knowing that corresponding parts of congruent triangles are congruent. With that knowledge, the answer is right in our grasp!
I thought the hardest part of this problem to be finding which overlapping triangles will get you where you need to go. I have found though, that taking a step back and looking at the bigger picture is very helpful.
Hopefully, this will help you in your midterm preparation too! Good luck :)
See you later,
Emma
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Article posted January 16, 2012 at 03:18 AM GMT •
comment • Reads 72
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Weekly Blog 8
Article posted January 8, 2012 at 04:18 AM GMT •
comment • Reads 99
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Hello Everyone!
This upcoming week is the last in the quarter. I am very busy completing my homework and studying for tests. The last week in the quarter always tends to be chaotic because everyone is trying to finish last projects. They also want to make sure that their grade is where they want it to be. Because we have a geometry test on Thursday, I am planning to study a lot this week to ensure that I do well on it. Also, studying now will help me do better on the midterms, which are the week of the 17th. Midterms also symbolize that the year is almost halfway through. I cannot believe how fast it has gone by. Hope that all of you do well on your upcoming exams! See you next week.
-Emma
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Article posted January 8, 2012 at 04:18 AM GMT •
comment • Reads 99
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Studying for midterms
Article posted December 29, 2011 at 01:32 AM GMT •
comment • Reads 78
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Hello Everyone!
So far, this year has just flown by! Since it is almost the middle of the year now, that means that midterms are right around the corner. I am very nervous for them, mostly because they cover so much information. However, with a bit of studying, the stress can be greatly relieved! Here's my tips on studying:
-Start early, so I'm not cramming at the last minute.
-Work unit by unit and make sure I understand the information.
-Do the online textbook tests and quizzes
-Go over all my notes
-Go over all the questions I may have had on any homework assignments
Hopefully these strategies will help me prepare for the midterm test in geometry! Maybe they'll help you prepare too!
See you later,
Emma
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Article posted December 29, 2011 at 01:32 AM GMT •
comment • Reads 78
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Weekly Blog 7- Finished Project
Article posted December 22, 2011 at 08:06 PM GMT •
comment • Reads 70
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Hi Everyone!
As you know, a few weeks ago I was assigned a golf project. I worked on it with a classmate, and we both put a lot of effort into it. After a long process, I can finally say that it is done! It came out better than I expected. Overall, I think this was a really fun way to learn about angles of incidence and angles of reflection! Have you ever had a fun project that taught you something new?
Well, Christmas is coming up and I'm so excited! Have a wonderful holiday and see you next week!
-Emma
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Article posted December 22, 2011 at 08:06 PM GMT •
comment • Reads 70
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Weekly Blog 6- My favorite problem
Article posted December 18, 2011 at 09:42 PM GMT •
comment • Reads 96
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Hello fellow bloggers!
We recently finished our unit all about angle theorems and postulates, proofs, and polygons. Throughout the course of this unit we have completed many problems in class and for homework. My personal favorite one involved polygons and we did it for homework.
It gave us the sum of the interior angles of a polygon, and then we had to find the number of sides the polygon had. The sum of the interior angles for this problem was 1080 degrees. I particularly enjoyed this one because it allowed me to think of the equation that needed to be used, and apply it to geometry. I had to reverse the equation that finds the sum of the interior angles, 180(n-2), in order to find the answer which was 8 sides, or an octagon!
Look back at your notes, do you have a favorite problem?
Vacation is nearing and I hope you have a fantastic week!
-Emma :)
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Article posted December 18, 2011 at 09:42 PM GMT •
comment • Reads 96
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Sunset/Sunrise Extra Credit
Article posted December 15, 2011 at 08:59 PM GMT •
comment • Reads 89
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Hi Everyone!
For the past two weeks, I have been recording and graphing the sunrise and sunset, and calculating the hours of daylight. Although at first it seemed a little difficult, it was actually very interesting to view my findings :) Here they are:
Date
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Sunrise
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Sunset
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12/02/11
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06:55:00 AM
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04:09:00 PM
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12/03/11
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06:56:00 AM
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04:08:00 PM
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12/04/11
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06:57:00 AM
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04:08:00 PM
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12/05/11
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06:58:00 AM
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04:08:00 PM
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12/06/11
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06:59:00 AM
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04:08:00 PM
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12/07/11
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07:00:00 AM
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04:08:00 PM
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12/08/11
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07:01:00 AM
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04:04:00 PM
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12/09/11
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07:02:00 AM
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04:04:00 PM
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12/10/11
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07:03:00 AM
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04:04:00 PM
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12/11/11
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07:04:00 AM
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04:04:00 PM
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12/12/11
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07:04:00 AM
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04:04:00 PM
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12/13/11
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07:05:00 AM
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04:04:00 PM
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12/14/11
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07:06:00 AM
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04:04:00 PM
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12/15/11
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07:07:00 AM
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04:04:00 PM
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* On the left side (y axis) is the hours of daylight, the bottom (x axis) is the date.
I noticed that the time of sunrise gets later and the time of sunset gets earlier as the weeks go on. As you can see by the graph, this means that the day is becoming shorter.
I hope you enjoyed my findings :)
See you soon,
Emma
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Article posted December 15, 2011 at 08:59 PM GMT •
comment • Reads 89
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Weekly Blog 5- My favorite angle theorem/postulate
Article posted December 10, 2011 at 09:13 PM GMT •
comment • Reads 112
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Hello everyone!
Just yesterday, we concluded chapter 3 in geometry. It was all about proofs, polygons, and angle theorems and postulates! It was a difficult chapter, but I feel like I have much more knowledge of the subject matter now. I enjoyed learning about the angle theorems and postulates the most. My favorite one would probably be the triangle-angle sum theorem. This states that all the interior angles of a triangle add up to 180 degrees. I think it is so cool that if you know two angles of the triangle, you can easily find the third using this theorem. All you do is subtract from 180! Do you have a favorite angle postulate or theorem?
I hope everyone had a good week and is doing well in school!
See you next time,
Emma
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Article posted December 10, 2011 at 09:13 PM GMT •
comment • Reads 112
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Weekly Blog 4- Project
Article posted December 3, 2011 at 03:38 PM GMT •
comment • Reads 97
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Hi again!
This past week in geometry, we were given a new project! Our assignment is to create a model golf course. We have to use angles to create a path to the hole! While it seems challenging, I am very excited to use my creative side! I can't wait to see how it looks when it is finished :)
It's a busy time of the year and I hope everyone is succeeding with their assignments in school.
Have a good week!
Until next time,
Emma
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Article posted December 3, 2011 at 03:38 PM GMT •
comment • Reads 97
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Weekly Blog 3- Thanksgiving
Article posted November 27, 2011 at 03:18 PM GMT •
comment • Reads 79
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Hello world! I hope everyone enjoyed their Thanksgiving this past week. I spent the week in South Carolina visiting with family. The weather was warm, and I had so much fun! It was nice to have a break from school :) Hopefully everyone was able to enjoy traveling, visiting with family, and delicious food! I know I enjoyed all those things. Since Thanksgiving has come and gone, we can all get excited for the winter festivities!
Well, I'm back to school next week. Talk to you then!
Emma
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Article posted November 27, 2011 at 03:18 PM GMT •
comment • Reads 79
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Weekly Blog 2- Quadratic Equations
Article posted November 19, 2011 at 04:57 PM GMT •
comment • Reads 129
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Hello again fellow bloggers! It seems like just yesterday I was writing my first entry to you. As you know, Thanksgiving is right around the corner! I am very excited to see family and eat lots of food! On another note, in geometry class we have been learning more about proofs and also talking about quadratic equations! I find this exciting because I really enjoy algebra, and I am excited to connect it to what we are learning in geometry! I never knew that algebra could play a role in geometry!
Hope everyone has a fantastic Thanksgiving and a wonderful time off from work or school :)
See you next week,
Emma
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Article posted November 19, 2011 at 04:57 PM GMT •
comment • Reads 129
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Weekly Blog 1- Proofs
Article posted November 11, 2011 at 03:14 PM GMT •
comment • Reads 106
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Hello everyone! Today, I begin the first of many weekly blogs! It is the start of the new quarter, and we are already learning something new in geometry! Last week, we spent time learning about proofs. I find them difficult in some areas because it is hard to explain exactly what you are thinking. The two types we have learned about so far are: paragraph proofs and two column proofs. Paragraph proofs are much longer, and involve more writing. Two column proofs involve just your statements and your justifications. Personally, I prefer two column proofs. They are much less time consuming, and easier to work with. Hopefully, as the unit progresses, I can learn to feel comfortable in both types! After reading this, maybe you have developed an opinion about proofs as well! See you next week!
-Emma
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Article posted November 11, 2011 at 03:14 PM GMT •
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Angle Pairs
Article posted October 30, 2011 at 11:55 PM GMT •
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This week, we have been asked to blog about angle pairs! Angle pairs are pairs of angles with special relationships. I have found a website that will hopefully help with your understanding of the 5 different angle pairs- supplementary, complementary, adjacent, vertical, and linear pairs!
Here it is:
http://regentsprep.org/Regents/math/geometry/GP5/LAngles.htm
When you get to the site, make sure you scroll down a little ways until you see a heading titled, "pairs of angles."
After reviewing each one, my favorite angle pair is the linear pair. It is easy to identify because it forms a line. I also find this one to be very interesting because not only is it a linear pair, it also doubles as adjacent supplementary angles. I think it is very cool how a linear pair can fit into two categories of the 5 different angle pairs!
To help me remember this angle pair, I came up with a very helpful strategy that you may find helpful too! The word 'linear', contains the word 'line', and this helps me to remember that linear pairs form a line! However, you will also need to remember that linear pairs have to be adjacent as well.
Hopefully, after looking at this website, you too have gained a knowledge of angle pairs, and will soon have a favorite just like me! Good luck!
-Emma
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Article posted October 30, 2011 at 11:55 PM GMT •
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Constructions
Article posted October 17, 2011 at 01:47 AM GMT •
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Constructions are geometric figures that are created with a straightedge and a compass. They allow no measurements, yet are still drawn accurately. Constructions were originally used to construct things such as pyramids when there were no measurements.
My favorite construction is the perpendicular bisector of a segment. I find this one really interesting because with just a few short steps, you are able to create an elaborate construction!
The perpendicular bisector creates a line through the midpoint of a segment that also has a 90 degree angle. Here's how to construct it:
- First, draw a segment of any length, and label it AB.
- Next place the point of the compass on point A and adjust the measurement so that it is more than 1/2 segment AB.
- Draw an arc on either side of the segment.
- Now, without changing the measure of the compass, place the point of it on point B.
- Draw an arc on either side of the segment that intersects the previous drawn arcs.
- Mark each point where the two arcs intersect.
- Lastly, draw a line throught the two points just drawn.
You have just constructed a perpendicular bisector!
-Emma
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Article posted October 17, 2011 at 01:47 AM GMT •
comment • Reads 117
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