Friday, Jan 29 HW links

Trig intro: U4 intro to trig.pdf (hard copy in class)

HW:

• Do p. 290/1-69 odd (I don't want this to be busy work- if you feel that you learn best by just doing one from each section, then feel free to do so)
• Memorize the common radian-degree conversion: this flashcard site may help you to quiz yourself and this circle will help you visualize the angles (turn off the coordinates if they get in the way)

Scribe Post, January 27

January 27 Scribe Post

Today we reviewed the midterm, and went over problems that a majority of the class and other classes had trouble with. One of these was about the equation, P = 3100ekt . We talked about how you can use algebra and graphs to find the solution, and how you can solve for k, or use algebra or graphing to find the coordinate you’re looking for.

We then took several surveys about the class, and discussed what we will be doing over third quarter. This will mostly include trigonometry, stuff like sin, cosine, and tangents, in shapes and as functions.

We talked about certain properties of triangles and circles:
- 45-45-90 triangles have sides that have a 1:1: the square root of 2 ratio
- 30-60-90 triangles have side ratios of 1:2: the square root of 3
- The largest angle is opposite the largest side, the smallest angle is opposite the smallest side, and the medium angle is opposite the medium side
- The Pythagorean Theorem is a2+ b2 = c2, where a, b, and c are the sides of a triangle, and c is the hypotenuse.
- To find the length of an arc, you do the angle of the arc over 360, multiplied by the circumference of the circle. For example:
- If you wanted to find the length of the large arc with the angle of 270º, you would do 270/360 X (2π•4). This would give the length of the large arc.

We then started the homework, which was a packet called Francois and his Pedometer. The homework is to finish the packet.

Next Scribe: Marnie :)

Hannah, Trigonometry, Scribe Post

Jan 27 Class

Individual first semester reflection

Group advice to a new student

HW:

• Course methodology: take another look as we start the second semester
• Finish Francois and his Pedometer
• Check your Francois answers
  

Great read

Heading off to an elite school after CHRHS? You should definitely read this article:

http://www.theamericanscholar.org/the-disadvantages-of-an-elite-education/

Enjoy!

Mr. O'B

Nick, Scribe Post, Jan 15, 2010

Revision Day!

Today we started off by filling out a feedback form. This form had us talk about if we had learned any of the present chapter last year... and how the teachers of the math class before this can help to prepare upcoming students for this class.

After that was done, we talked about the upcoming midterm. We learned about the point system for the midterm and how we would be graded. We also got our "notecard" for the test, that we can put ANYTHING on, as long as its in our own handwriting.

Next, we went over questions from the homework that some of us didn't understand. Mainly 4. and 7.

4. was about finding the nth sum of a sequence. To do this, you had to use the Sum equation from the arithmetic sequence. As long as you know the equation, you can just substitute in the values, and get the sum!

7. On this question, a good strategy was to eliminate possible functions. If you think about it, you know that the only plausible ones are A. and E. Then, you simply have to find which one has the first term of the sequence at 3. Then, you can see that the clear choice is E.

We looked at a few more from the homework and then we moved on.

Next, we took a quiz! this quiz took up the majority of the rest of the class, with lots of little problems and tricks.

That was about it for the day. We have the midterm next class, so be sure to look over the study guide problems, and make a really good note card.

Optional but recommended HW:
Use the suggested practice problems from the midterm revision guide (p. 276).

The next scribe will be Hannah

Revision day

Please fill in this feedback form.

Here is the answer sheet for the midterm.

Use the suggested practice problems from the midterm revision guide (p. 276).

Noelle - January 13, 2010

Today Mr. Obrien was absent because of a ski race he had to go to. He passed out the list of Unit 4 homework assignments to be corrected and submitted by FRIDAY. Don't forget for your homework grade, an easy A.

In class we worked on the Sequences and Series Practice sheet and answered the multiple choice like we would on the Midterm. This means that for each question you must rank each answer your first choice, second choice, third choice, and fourth choice. You can receive partial credit if your first choice is wrong, but your second, or third, or fourth choice is correct out of the five available choices.

What do we do if we know the right answer... Do we still rank the others?

Last Night's Homework Problem Questions: 19, 25, 29, 63 (this one made sense but I couldn't get the answer on my calculator...)

Be prepared for a Unit 4 Homework Quiz on Friday on Sequences and Series, including the revision sheet we worked on today. *** The first question on the quiz will be to write the five formulas- closed form for:

arithmetic -

geometric -

and sum for:

arithmetic -

geometric -

infinite geometric -

Remember quiz questions come from homework problems we've gone over, so if you can do the homework most likely you'll be ok.

Homework: Study for Quiz and prepare Unit 4 Homework to be passed in. Finish Sequences and Series worksheet if not finished in class.

Next Scribe: Nick(?) not entirely sure who has and hasn't gone...

Wednesday's class

Apologies- I cannot be in class on Wednesday due to a ski race, so please meet in Ms. Damian's room (217). Firstly, read through the midterm exam revision guide. We will discuss this revision guide in class on Friday, but it's not too early to begin thinking about next week's exam.

Next, go over the homework questions together. Use the solutions on the class website. Please post any questions here that you'd like to discuss in class on Friday.

Finally, begin work on the Sequences & Series Practice problems that Ms. Damian will give you. Rank your multiple choice answers like you will do on the exam. Finish these for homework.


HW

• Sequences and Series revision sheet
• Be prepared for a homework quiz covering all Unit 4 homework, including revision sheet (time to ask questions before the quiz). The first question on the quiz will be to write down the 5 formulas: closed form for arithmetic/geometric sequences, sum formula for arithmetic/geometric/infinite geometric (these are the boxed formulas on the two half-sheets).
• Organize Unit 4 homework to be submitted by 2:15 Friday.

1/11/09 Angus

First we reviewed how we used Gauss' method to find the n term of an arithmetic sequence. Then we went over a proof of why this method works. The proof was described by Mr. O'b. as follows,

Then we went over homework questions that were difficult. Then began going over our notes on a geometric sequence. We defined a geometric sequence as follows,

Recursive:

Closed Form:

We also came up with an equation for the sum of the n terms of a finite geometric sequence.

We also went over a proof for this, which when canceled, gives you this formula. We also defined an equation for the sum of an infinite sequence,

If , then

Here is the review for the midterm: midterm exam revision guide

HW

• Sequences and Series revision sheet
• Be prepared for a homework quiz covering all Unit 4 homework, including revision sheet (time to ask questions before the quiz). The first question on the quiz will be to write down the 5 formulas: closed form for arithmetic/geometric sequences, sum formula for arithmetic/geometric/infinite geometric (these are the boxed formulas on the two half-sheets).
• Organize Unit 4 homework to be submitted by 2:15 Friday.

1/7/09 Keegan

We started class with the warm up involving writing terms, using recursive definitions and using sigma notation. We went over that when writing a recursive definition make sure you have two parts. The first part is you must say what equals, then the second part is to say what equals. We also discussed that when using sigma notation, if you are struggling to find the upper limit just use algebra. Set your equation equal to the final term given, and sub in X as the unknown. X will then turn out to be the upper limit in the sigma notation.

We then went over the homework. We talked about methods for finding the equations of a sequence. We talked about looking for patterns such as if you come out with differences of the differences. This means the equation will usually be exponential. As we move forward in this unit, a lot of the same patterns will come up frequently.

We then began to take notes on arithmetic sequences
The definition of an arithmetic sequence:

= +d
where d is called the common difference
We then went over several examples using this definition.

The nth term of an arithmetic sequences is
= d * n +
or
= + d (n-1)

The sub formula is:
= /2( + )

homework for next class:
P. 659/ 1,9,11,16,19,21,27,37,39,41,45,67,69,71,85



next scribe Angus

HW for Mon

HW:

• p. 659/1, 9, 11, 16, 19, 21, 27, 37, 39, 41, 45, 67, 69, 71, 85

January 5, 2010: Start of Sequences/Series

We started class with a warm-up of ten sequences to figure out, such as 5, 8, 11, 14, 17..., where we had to find the next three terms and (if possible) the 100th term. We found most of the warm-ups but had some difficulty finding the 100th term on a few of them. After, we did some notes on SEQUENCES and SERIES.

Sequences are functions which takes natural number and turns into different value. Sequences have a domain of natural numbers. Define sequences with recursive definition or closed form definition.
Recursive Definition:

U1 = 3
U_n = 2 * U _n-1

Closed Form Definition:
Example with 1, 1, 2, 3, 5, 8, 13...


U₁ = 1
U₂ = 1
U_n = U_n-1 + U_n-2

Another example:

Write first five terms.

U₁ = 5

U_k+1 = U_k +3


5, 8, 11, 14, 17


A series a set of numbers from sequences and added together.
Example: If the set was {4, 9, 16, 25, 36, 49} then 4 + 9 + 16 + 25 +36 + 49 = x
Sigma notation shows us the limits of the set.

SIGMA =
lower limit goes underneath the sigma and is usually positive integer. Example i=1. Upper limit goes above the sigma and is larger than the lower limit. Example:



(1+1)² + (2+1)² + (3+1)² + .... + (6+1)²
Stop at six because six is upper limit.




At the end of class we worked on using our calculators to help us with sequence mode. Guides how to do that and the homework is posted below for the next class. The next scribe is Keegan.
And Mr. O'Brien, where can I find your iCal link?

HW

HW:

• Check out this link for a revision of function and sequence mode on your calculator and this link for a revision of finding summations on your calculator.
• p. 649/1, 3, 5, 7, 23, 25, 37, 43, 51, 53, 54, 57, 73, 77, 81, 93, 97