Wednesday, February 23, 2011

Alex K. Scribe Post 2/23/11

Today we learned about common angles names. We learned about Θ"Theta", α"Alpha" and β "Beta".
R---> Radius = 1 unit
S----> Arc length
Θ=s/r
Θ can only be in radians using this formula.
Circle=360° or 2πr

Since the central angle and the arc length are the SAME, put the central angle in radians because radians are the same unit as length and the arc length cannot be in degrees.
Learning that the central angle and the arc length are the same is very interesting to me. It seems like it's just a coincidence but it can't be and that's what's so cool about it, that someone took the time and really worked at this and figured it out. It's crazy.

Adan Scribe Post: Day 13- Feb. 22 2011

Today Jojo sarted teaching section 1.2 which is about radian measure. A radian is the measure of and arc's length. He talked about how in the radian system of angular measurement, the measure of one revolution is 2pi, half a circle is pi, each right angle is pi/2 and so on. He also talked about the most common measurements and their degree. Here are some of those:
pi/4 = 45 degrees
pi/3 = 60 degrees
pi/6 = 30 degrees
2pi/3 = 120 degrees

and so on.

Monday, February 21, 2011

Kelsey Scribe post 2/16


Today we learned about coterminal angles, quadrants and degree measures of angles.

We were taught that there are four quadrants (I, II, III, IV) and how to determine which quadrant an angle lies in.

How to find coterminal angles m(beta) = m(alpha) + k360

Here is a good website that explains everything in depth and clears up alot of confusion
http://www.themathpage.com/atrig/measure-angles.htm

example of coterminal angles

Wednesday, February 9, 2011

John Henry Scribe Post 2/9/2011

Today Jojo explained the quadratic formula F(x)= ±a(x±h)±k

F(x)= ±a(x±h)±k

determines where on the x axis the shape is

determines where on the y axis the shape is

Whether or not on x axis

a >1 stretch

01


here is a website with some great examples:

http://uncw.edu/courses/mat111hb/functions/inverse/inverse.html

you can also use page 33 in your book

next scribe: Kelsey

How to determine if two functions are inverses of each other....

Tuesday, February 8, 2011

Elijah Scribe Post - 2/8/11

Today we discussed functions. We had a long debate about whether the area of a circle is a function. We came to the conclusion that a circle is not a function because it has more than one value for x for each value of y. Since it is the day after the Super Bowl, I decided to find out if the area of the outline of a football is a function. It also is not a function because of the same reason as a circle.






Scribe Post Feb. 8th Irfan

Today we talked about Parent Functions, which we have all covered in other classes. The parent functions are x squared, square root of x, x cubed, absolute value of x, and x. We also spent some times going over an example in the book that relates to the diagonal compared to the are of a square. We had about 25 minutes to do our homework so I hope we were all productive.



Types of functions
x-squared function f(x)=x2
Square-root of x f(x)=x
Cubed function f(x)=x3
Absolute value function f(x)=x

X function (bottom line) f(x)=x


We discussed making a function from a diagonal of a square. We decided that the best way would be to use the pythagorean theorem with the sides as the legs and the hypotenuse as the diagonal. Here are the steps:

s2=A
s2+s2=d2
2s2=d2
s2=d22
A=s2=d22
A=d22







SOURCE: ELIJAH KIRKLAND ANDREWS
Trigonometry is a sine of the times. ~Author Unknown

Next scribe: John Henry Ward

Flickr Diary

This is your chance to tell a trigonometry graphic story.  You should use pictures that are bold and speak to the viewer.  Add a caption below your picture. More instructions below!

Tag all photos gta311. Additional tags are listed in parenthesis. If no, parenthesis then tag using word next to the number.  Also tag with your name. 3 TOTAL TAGS

Also, note how each picture visual associates concepts learned for you personally.

The date due is available on the homework sheets.

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

Parent Functions


Here's a helpful picture of Parent Functions.

Friday, February 4, 2011

Scribe Post February 4th

February 4th 2011

Today we found out that if you have a line on a graph that's equivalent to the radius of a circle that you can find just about anything you want about the line or the circle. It's a really neat idea and incredible that someone put the two together. Learning this made me interested and think about all you can do with math. I think that since people discovered these patterns, equations, theories that their are still many undiscovered. Todays lesson really opened my eyes to that and I realized how much you can do with math.

We learned that to find the distance of a line on a graph all you need is the the two end points. The radius of a circle can be found by finding the coordinates of the original line.
You need the equation below to find the distance between the two end points which make up the line on the graph.

The distance 'd' between the points A = (x1, y1) and B = (x2, y2) is given by the formula:


Next Scribe: Elijah

Class Expectations

Geometry/Trigonometry/Algebra 3


According to Professor Lee of Washington University, "Mathematics is the single field of human endeavor in which we are the most certain of the correctness of our knowledge.  We use algebra everyday.

The main goal of this class is to help you acquire a deep understanding of and appreciation for  algebra. You will learn to think about it in a more confident and focused manner.

A secondary goal of this class is to help you become adept at mathematical communication. Opportunities to improve your communication skills on several levels will arise throughout the class (see below for details): speaking precisely about mathematical ideas in class; writing informally about mathematical ideas on the A2A Blog; and writing careful mathematical conclusions on homework assignments.

Grading Setup
o   
Test approx 40% up to 100 points each
o    Benchmarks approx. 10% (min.  20) up to 5 points each
o    Google Docs Total approx.  20%(HOMEWORK approx. 12.5%, NOTES approx. 7.5%)
o    Blog Total approx. 7%
o    Internet approx. Total 4%
o    Final Exam approx 20%
•    =Total approx 101%


Homework

All homework will be submitted through Google docs for grading. You should include your name, lesson number, and the assigned problems.

You must submit a minimum of 25 assignments for homework on docs.google.com for credit.  Any extra assignments submitted will contribute towards up to 5 extra points per assignment.  You must check each problem (option + v) has check mark. Chapter Reviews will be worth 6 points each if completed!

Homework will be graded as follows out of 5 points:
1 did something
2 did half
3 did most
4 did all
4.5 did all and checked
5 did all and formatted correctly

Notes
For notes, you should include your name, the pages, and the lesson title.


You must submit a minimum of 15 notes on docs.google.com for credit. You will get your notes from information given in class as well as the assigned reading from the lesson.

Notes will be graded as follows out of 5 points:
1 did something
2 half information is covered
3 most of material covered
4 All material Covered
5 Neat, Images included, organized

Blog

Significant Contributions approx 2% (min. 2 per unit)
Tag all contributions with your name for credit.  Each Posting is worth 2 points.

Comments approx 1%  (min. 2 per unit)
Tag all comments with your name for credit. Each quality comment is worth 1 point.

Posting for Points approx. 4%
Each comment is worth 5 points.
Internet -Details to follow
Youtube Review Video approx. 2%
Podcast Review of a Lesson approx 2%



Attendance
You must come to class if you are at school. If you are not here when I take attendance you will be marked absent. If you arrive late I will change the mark to tardy. If you have a note your tardiness will be excused. (Note: excessive absences can prohibit you from passing the class) For every unexcused absence you will lose a whole point from your final average. For every three unexcused tardies you will lose a whole percentage point to your final average.

If you miss class you are still responsible for the homework. The best way to prepare for a trip is to get your assignment in advance.

BEHAVIOR
Disruptive or offensive behavior will not be tolerated. Offensive language is not used in my room.

NO CHEATING! Do not roam your eyes around the room. Please keep your eyes on your own paper to avoid even the appearance of looking at the answers of classmates it may be mistaken as cheating.

CELL PHONES
Cell phones must be turned off and put away at all times during class. A violation of this policy will result in the removal of the phone and it will be given to Paul Hayward.

EXTRA HELP
We all need a little extra help every now and then. While every effort will be made to answers questions during class, there may be times when you need further clarification. I will be regularly available to help students with math during:

Wednesday @ Lunch

Please contact me as soon as you become uncomfortable and we will find a time even outside of these times to get you help. I’m more than willing to work with you, but I also expect you to make the effort and show me you are invested in learning. If you are having trouble with any part of my class, let me know and I will help you. I am a big helper, that’s my job.


The Path to Success!!

You can succeed in math and in this course if you:
  1. Respect everyone in the class at all times. We all work at different paces and use different methods. Please respect those differences.
  2. Always be on time and prepared for class.
  3. Have read the lesson and done the homework.
  4. Show all your work
  5. Check your work carefully so that you know what’s hard for you and mark the items on your homework that you want to discuss in class.
  6. Review your class notes every night before going to bed.
  7. Always get extra help from the teacher when you feel you are falling behind.
  8. Find one or two people to be your study partners and form a study group.
  9. Make the class work for you by making sure you get your questions answered, and listening to what other students have to say. Your classmates have great ideas, sometimes better than my ideas, so, be attentive. They may also ask questions you want to ask. Listen to your classmates.
  10. Participate regularly on the class blog

     

How to get an A……
If your percentage of accomplishment is higher than 92% you get an A.
Or, if your total points for the term reach 1510 Points you will receive an A.

Extra Points
2 Paideia Math Tweets (min 4, .5 points)
50 Flickr Diary (up to 50 points)
36 Test Aftermath 9 points (required, unless you score higher than a 91 on the test)
Scribing 5 points (no min.)
Tutorial 5 Points  (no min.)
20 BOB  5 points (max. number of tests times 5 points)
Challenges (varying point totals)
Accurately Completed Scoring Spreadsheet 25 points
Web Page Answer top rank  (up to 20 points)
1 point Extra Comments
1 point Extra Significant Contributions

Thursday, February 3, 2011

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!

Homework

Day April 25


Day April 22
P. 221 1-3, 5, 6, 10-12

Day April 21
Test Review Problems
P. 162 1-6
P. 219 1-5, 9, 19, 21-36

Day April 20 
None

Day April 18
3.2 40 - 60 all

Day April 15
3.2 1-39 all

Day April 13
3.1 45-65 odd

Day (April 12)
3.1 23-44

Day (April 1)
Do 3.1 11-22 Classwork/Homework

Day (March 31)
Do 3.1 1-10

Day (March 29)2.1 51-93 odd

Day (March 28)
Read and Submit Notes on 2.1 Pgs. 109-120
2.1 1-49 odd

Day 24
Chapter 1 Review P. 105
37 - 72 all

Day 21
Chapter 1 Review P. 105
1-36 all

Day 20
Read and Notes: pages 91-97
Problems: p. 98 1-29 odd

Day 19
No Homework

Day 18
Problems: p. 88 1, 3, 5, 9-25 odd

Day 17
No Homework

Day 16 
Read and take Notes Page 69-76
1.4 Exercises 1-16 all

Day 1

Read Pages 1-5 and take notes
Do Exercises 3 - 30 (multiples of 3) 

Day 2
Read Pages 6 - 9 and take notes
Do Exercises 33 - 84 (multiples of 3)
PoP -Short Term 

Day 3
READ & NOTES: Pgs 12-17
WORK: Pg 18 1-9 Odd, 23-30 all, 43-50 all

Day 4
Read & Notes: Pgs 19 - 26
Work: P.3 #3 - 75 (multiples of 3)

Day 5
Work: P.4 # 1 - 8, 21 - 54 (multiples of 3), 72 - 81 (multiples of 3) 

Day 6
Work: Chapter P Review Exercises 1 - 54 all

Day 7 
No Homework


Day 8
Chapter P Review Exercises 55 - 88

Day 9 
Study for test

Day 10 
Study for test

Day 11
Read 1.1 and take notes

Day 12
1.1 1, 9, 13, 19, 23, 27, 31, 33, 37, 41, 45-52

Day 13
1.2 3 - 25 odd, 31- 77 odd 

Day 14
1.2 79 - 97 odd

Day 15
No Homework