yaymath.org

http://yaymath.org/Videos.html

This guy is really good at explaining stuff. There's 40 min in depth lessons on google videos so the link is above. The full-length Trig video that JoJo had us watch the beginning of was really helpful so if you're having a tough time check it.

Hope it helps

--Madison

Scribe Post, February 24(Review Day), William

First I would like to apologize to everyone for the lateness of this scribe post. On Tuesday we had a review day. We went over questions about chapters 1.2 and 1.4 skipping over 1.3. We also had a daily quiz. We talked about basically everything that was mentioned in Madison's spectacular scribe post from February 23rd. I did find two videos that I think may help some of us in the class with the current material.

The first video talks about how to find the area of a sector: http://www.youtube.com/watch?v=IQb3TUvk0-I

The second video is about finding the arc length: http://www.youtube.com/watch?v=Hg43NyxLj6U

Everybody, after watching these videos, you will still be on youtube, so you might as well do your homework and watch Algebra 2 -Trigonometry.

HAVE A GREAT BREAK!!!!! (Good luck to the boys basketball team this Friday)

Henry will be the next scribe.

The Khan Academy

This is a website that has lessons in everything from basic addition to calc. It's all free and is very well-known and respect, my mother saw it on the news-hour and showed it to me. I thought it may be helpful to some of you:
http://www.khanacademy.org/

It is also a prime example of what Jojo means when he talks about the digital age and the wonder that is the internet...

-Luke

Scribe Post - February 23, 2010 - Madison

Hey y'all,
Today in class we learned about Arc Lengths and the Area of a Sector.

Starting with arc lengths Jojo told us that a unit circle has a radius of 1.

A unit circle looks like this:

The distance of an arc is one from one point to another on the circumference of a circle. And every degree measurement has a radian measurement. For example, 90 degrees = pi/2

Arc length is basically how many times degrees go into 360deg/pi.

We learned two equations on how to find arc length using both degree measurements and radian measurements.

For radians: (Where S is the arc length, alpha is the measurement in radians, 2pi is the total measure of the radian circle and 2pi r is the circumference)

For degrees: (Where S is the arc length, beta is the degrees in the subtended angle in the arc*, 360 is the total number of degrees in a circle, and 2pi r is the circumference)

*remember that subtended angles are angles that directly correspond with an arc. (we learned that earlier this year)

So if you plug in radians for the first equation and degrees for the second equation you should get the same answer. That's how you know you did it right!

We also learned about finding the Area of a Sector

It's basically like finding the slice of pizza from the entire pie. So it looks like this:

To find the area of the sector we use two equations.

For Degrees: (Where A is the area, alpha is the subtended degree, 260 is the total number of degrees in a circle and pi r^2 is the formula for area)

For Radians: (Where A is the area, beta is the radian degree, 2pi is the total number of radians in a circle and pi r^2 is the area formula)

Again, if you plug in degrees for the first equation and radians for the second you should get the same answer.

Sorry this is so long. Hopefully it helped. If not helpful websites:

http://www.mathwords.com/r/radian.htm

http://www.mathsisfun.com/geometry/circle-sector-segment.html

Next scribe is Shake.

--Madison

DAILY WEDDING QUESTIONS

add a question, comment, or suggestion in the comments section about Jojos wedding.

possible idea?

http://www.dailymail.co.uk/news/article-507390/Bride-wedding-cake-life-size-model-herself.html

Angles & Degree Measure-Scribe Post-Moboss

Hey Guys,
We have began a new Chapter-Angles & Trigonometric Functions. In this post I will cover basic definitions and will provide you with examples.

ANGLES
Angles are made up of a couple of elements:
- Angles: Defined as union of two rays with a common endpoint.
- Ray: Defined as a point on a line together with all points of the line on one side of that point.
- Vertex: Two rays with a common endpoint.
- Initial Side: The fixed side of a ray.
- Terminal Side: The rotating side of a ray.
- Central Angle: Angle whose vertex is the center of a circle.
- Intercepted Arc: Arc of circle through which the terminal side moves.
- Standard Position: Angle in a rectangular coordinate system with a vertex in the origin and the initial side is the positive x-axis.

DEGREE MEASURE OF AN ANGLE
- Degree measure of an angle: Number of degrees in the intercepted arc of a circle centered at the vertex. The degree measure is positive if the rotation is counter clockwise and negative if the rotation is clockwise.

TYPES OF ANGLES
- Obtuse Angle: Angle between 90 degrees and 180 degrees.
- Acute Angle: Angle between 0 degrees and 90 degrees.
- Straight Angle: Angle exactly 180 degrees.
- Right Angle: Angle exactly 90 degrees.
- Quadrantal Angle: Angle whose terminal side is on an axis.

TO BE COTERMINAL OR NOT TO BE?
- Coterminal Angle: Has the same terminal side. Degree measures of the coterminal angles differ by a multiple of 360 degrees (one complete revolution).
- Coterminal Angles: Angles that are on the same Quadrant.
- Formula for finding Coterminal Angles:

- Example:
Find two positive angles and two negative angles that are coterminal with -50 degrees.

Solution
Simply choose two positive integers and two negative integers for the K in the formula

. I will be using 1 & 2 for the positive integers. I will be using -1 & -2 for the negative integers.

Angles:

are coterminal with-50 degrees.

DETERMINING IN WHICH QUADRANT AN ANGLE LIES



- To determine the quadrant in which an angle lies, add or subtract multiples of (one revolution) to obtain a coterminal angle with a measure between 0 degrees and .
** Take the original number and either add or subtract according to whether the original number is positive or negative. When adding or subtracting the number of rotation add or subtract so that the solution is between 0 degrees and 360 degrees**
- Example:

, this means that -580 degrees is in the 3rd Quadrant.

Next Scribe Jericho.

M

Friday, February 19th, 2010, scribe post, Jericho

Today in class we spent a lot of time going over homework questions. That took most of the class period. But with the remaining time, we went over radians.

The Radian Measure of the angle a in standard position is the directed length of the intercepted arc on the unit circle.

Last chapter we were dealing with degrees, this chapter we will now be using radians.

Then for the last part of class we watched a video on radians and degrees. The video is on the blog, so I would make sure you check that video out again.

The next scribe is Madison.

Radians and Degrees

Good for the test tomorrow

I just thought this would be a great reminder to post before the test tomorrow
How the graphs look when dealing with the different Y equaled to X

Y=X squared The graph will be a parabola
Y=X The graph will be a line
Y= lXl The graph will be a V shape (But pay attention less than or greater than zero)
Y= the root of X The graph will look like a turn signal
Y=X cubed The graph will be one very curvy shape (both negative and positive)
Y=1/X The graph will have a two shapes that look like the letter C's that they were crushed on the X axis. One is negative while the other is positive.

Problems with podcasts.

I think these could be problems everyone is having, so I'll just ask them here. I can't open FLTTE p.3 podcast, it says the files are in the wrong format. Also is there a way to check which critique forms I've sent in? Also some of the files sent to us did not have their group name, so I had to guess which group had made it, is there a way to fix that?

Friday, February 12, 2010 scribe post. Jordan

Today in class Jojo spent most of the time preparing us for our section P test on Tuesday. we started off getting into groups to discuss the chapter and go over what we did not understand for about 15 mins. We wrote questions and circled the problems that we did not get correct. After that we, as a class, asked and went over all the questions that we did not understand. Jojo focused on section P.4 #49 which was f(x)=x^2-4 for x is greater than 0.

He also went over all of the parent functions that we will need to know for the test. which are... y=x^2 ,y=x, y=|x|,y=√x, y=x^3, y=1/3. thats about it. guys study study study. enjoy the snow and remember to label your axis!!

-Jordan

next scribe is Mon

Housekeeping...

Classes,

We have not had a scribe post in the last few days because one of our scribes never posted nor bothered to name a new scribe.  There will be consequences for everyone, if someone doesn't step up and become the scribe tomorrow.

I have not posted the podcasts or the critique forms yet, due to technical difficulties of many of the groups.  I will have something posted as soon as I sort things out for everyone.  Tomorrow we will use class time to review some of the concepts you have been working on for homework.  I will also return your homework assignments for you to review over the weekend!

See you tomorrow,

Teacher

Types of Symmetry Leading to Groups

http://www.learner.org/courses/mathilluminated/units/6/textbook/02.php

I found this website on symmetry today and I thought that others in our class may appreciate it. I’ve looked it over and it all seems to be pretty legit, also it comes from a credible source: learner.org.

This site does a nice job of explaining symmetry, giving us examples of symmetry, and relating it back to topics which we have already learned such as equilateral triangles and circles. Maybe it’ll help since you will have a better point of reference for understanding the new material.

-L

Rene Decartes

Rene Decartes was lying in his room at the age of six when he noticed a fly above him. He realized that by using the indentations of his wooden ceiling, he could describe the location of the fly to his mother, (who was downstairs), without ever having to ask her to look at the fly. This method of describing things locations became known as the Cartesian Plane and is still used today as one of math's most fundamental ideas.

Computer Graphing Tool

Hey Guys,
Do you hate plotting points and drawing lines with a pencil? Is it a long boring process for you?
Well...
As I am continuing on my quest to find ways to doing certain tasks more effectively through technology, I stumbled upon a free graphing program that allows you to plot points. This program does not require you to have a degree in Nerdology; so you can do it. It does, however, require a bit of poking around the program. I have a good grasp on the foundations of this program, so if you have any questions pop me an e-mail.

Here is the link: http://www.padowan.dk/graph/Download.php

All the best.

Scribe Post- Feb 4 (Cullen)

Hey everyone.

Today we only had a short class period because of the guest speaker. We started off class with a daily quiz on plotting lines. after we took the quiz, Jojo set the rest of the time aside to go over the last few nights of homework and any challenging problems.

For example, we went over problem 27 from our homework. it as a parabola, and we needed to find the domain and range. the problem was y= x(squared)-20. we know from plotting the parabola that the domain (the values of x)= (infinite, infinite). and since we know that the parabola will not go below the y-intersextion (which is -20) the range= [-20, infinite).

after we went over problems class was over. so YEAH!!! :D

tomorrow's scribe is christian.

Podcast Guidelines, Notes, & Ideas

FIRST PODCAST!
Lessons:  P2  -All, P3  -Omit (do not do) p. 24-26, P4  -Omit p. 32-33 
How to learn the information:
Read the lesson
Do practice problems -show all steps (homework- check on pbworks or back of the book)
Write out specific questions and submit (anonymously) to pb works question bank!
Ask questions in class
Watch videos
Listen to classmates podcasts or other public podcasts

How to create a great podcast:
Understand the information
Create Script first
Be creative in collecting slides (online or take photos)
Put it in garage band and make it fresh!


Be informative, be specific, give examples, be creative, have fun!

Scribe Post-Functions-Camila-February 3

HELLO,

Today the class focused on a few different things:

First we talked about the coordinate system and slope. Here are a few key points:

-If a curve has a slope then it's a straight line.

-Slope defines a straight line.

-Slope= rise/run.

-In any straight line the rise/run (slope) of any two points will have the same ratio

Then we concentrated on equations for a graph :

Slope intercept form: y=mx=b

Point slope: y-y+m(x1+x2)

Standard Form(the one we will be using): Ax+Bx=C

We then talked about how to find the x and y intercepts using the standard equation.

-To find the x-intercept substitute a zero for the y intercept

-To find the y-intercept substitute a zero for the x intercept

Here is an example problem

Find the x-intercept:

3x+5y=15

3x+5(0)=15

3x=15

3/3x=15/3

x=5 The x intercept is x. You can apply the same concept for finding the y-intercept

Scribe Post, Trigonometry, 2010!

Hey Everyone,

I hope everyone has started the term with a smooth transition so far! This term will be a very exciting term, concerning and regarding to our math class! We

will be focusing on a new math subject, Trigonometry. Trigonometry, stated from Wikipedia, " is a branch of mathematics that studies triangles, particularly right triangles. Trigonometry deals with relationships between the sides and the angles of triangles and with the trigonometric functions, which describe those

relationships, as well as describing angles in general and the motion of wavessuch as sound and light waves." This new subject in class will involve making sure you have your supplies everyday at school. Supplies that you will need everyday include: a ruler, calculator, Trig. book, and your notebook, which includes your written homework assignments, and in class notes.

Although our previous scribe reminded us as a class with what we needed, its always nice to have another reminder. From what Jojo has stated, these new few weeks, will be a review for a lot of us. We will be looking at material that we have previous learned from previous years and even last term. However, just because it will be a review for most of us, doesn't mean "slacking off" and not taking the class serious is acceptable. Daily Quizzes will still be given out, homework will still be checked regularly and your assignments regarding the blog are still very important.

Now today in class, we all went to the computer lab and learned about a new way of presenting math lessons, POD-CAST'S.

In the lab we all got the opportunity to try out the program and make a few practice runs with even, fake scripts. Now pod-cast's are made from a program on Apple product computers. The program is called "GarageBand". We all learned that this program allows you to create voice overs, add pictures, videos, and even cool sound effects to your own personalized pod-cast. Jojo stated earlier that we will all have an opportunity to present a pod cast are more details are to follow. I think we all found this newly advanced technological program and exciting and interesting addition to our class. Can't wait to see what people come up with!

Today in class we had our 1st. Daily Quiz for the term! One important reason why doing your homework and reading and taking notes from your math notebook and the math book is because, may times, the daily quizzes are from homework and information from the book. For example the Daily Quiz today included two formulas from last nights homework and they are easily found in the math book.

Daily Quiz # 1. - Give the two formulas stated, "The Distance Formula and Midpoint Formula."

On Page 4 of our books, the Distance Formula is given:

On Page 5 of our books, the Midpoint Formula is given:

Today Jojo gave students who were unable to see the homework from last night on the page, because of technical interference, he let those students have another night to complete the homework.

Don't forget to do tonight's homework, (Pg. 11, 54-64 even, 66-72, even.)

I proudly announce the new scribe to wonderful and beautiful, Camila!

Have a great evening and I hope this post was helpful! Lets have a great term!

50 Days of Flickr

Tag all photos gta310. Additional tags are listed in parenthesis.
The date due is available on the homework sheets.
Days
1.Grided Plane (PiGrid)
2. A Circle, with representation of radius (PiCirc)
3. Right Triangle (Piright)
4. Horizontal & Vertical Line (PiLine)
5. Real life representation -- graph of Function(PiFunction)
6. Real life symmetry (PiSymmetry) -spell correctly!
7. (PiReflect)
8. PiTrig
9. Pimeasure
10. pispokes
11. PiSector
12. PiArc
13. PiWinter
14. PiTriSim
15. PiRevolutions
16. PiPlane
17. PiTower
18. PiSun
19. PiMoon
20. PiSinPiCos
21. PiBball
22. Piprojectile
23. PiIdentity
24. PiWindow
25. Piwildlife
26. PiTriArchitect


For the most up to dat list of Flickr shots, please review the homework assignment log.

Scribe Post,February 1st, Tom

Scribe Post

welcome back to school everyone. I hope everyone had a great break.

For the new term and new section (trigonometry) we are going to need new supplies

everyone needs to have there trigonometry book we got in the beginning of last semester, you will need a ruler, a graphing calculator, a notebook and graph paper make sure to bring all this everyday or you will lose points.

Today we started off the term by talking about cartesian coordinate systems.

we compared the street layout of boston and manhattan. manhattan was much easier to see a way around because of its street layout being a coordinate system,

we finished off class by learning about the distance formula. this formula is derived from pythagoreans theorem so it has the same basic idea. its is the square root of delta X squared + delta y squared =d

the term delta is represented by a triangle and mean the difference of the start and finish.

so in this setting it is the difference of the starting x coordinate and the finishing x coordinate squared + the difference of the starting y coordinate and the finishing y coordinate. therefore it would be X1-X2 squared + Y1-Y2 squared then take the square root of all =d

And that is all for today

enjoy the year

tomorrows scribe will be Noah

Grid!

Here is another cool and colorful grid! :) (x , y)

This is a grid painting done by artist M.C. Escher. I thought it was pretty cool. Enjoy :P

PoP -Short Term Learning

I am looking forward to hearing which short term classes were your favorite.  Please tell me which teaching strategies were most helpful to your learning during these classes!

It's Your Time to Shine!

Chapter P Helpful Resources

Vocabulary
• Coordinates – a set of numbers that describe where something is located.
• Horizontal axis – a number line going from west to east (left to right). This axis measures position east or west (right or left) of the origin. It's Also called the x-axis.
• Origin – the point on a graph where the horizontal axis and the vertical axis intersect. At the origin, the coordinates are (0, 0).
• Vertical axis – a number line going from north to south (up and down). The vertical axis measures position north or south of the origin. The vertical axis is also called the y-axis.

The story of the coordinate plane: 
http://mathforum.org/cgraph/history/intro.html
The Cartesian plane: 
http://www.purplemath.com/modules/plane.htm
Coordinate simulations/games: 
http://www.oswego.org/ocsd-web/games/BillyBug2/bug2.html
http://www.learner.org/teacherslab/math/geometry/shape/taxicab/index.html
http://www.shodor.org/interactivate/activities/SimpleCoordinates/?version=1.5.0_06&browse
r=MSIE&vendor=Sun_Microsystems_Inc.
http://education.jlab.org/topquarkgame/index.html