Blog Post 7D

Send me a picture or short video of something that brings out a mathematical question. Something in your everyday life. For example, what question comes to mind when you see this picture??

... I think most people would likely ask "how many pennies are in there?" or "how much money"

So please take a picture of something you see in everyday life that makes you ask a question that can be answered with math, or science. Please email it to me, and I will either post it, or compile it into a database.

Please do not take pictures off of the internet, I want these to be pictures you have taken, and make sure they are school appropriate.

Blog Post 7C

You are on a ferris wheel. The diameter of the ferris wheel is 36 feet and the center of the ferris wheel is 20 feet above the ground. The ferris wheel rotates counter clockwise.

1. How high off the ground are you when you are at the top of the ferris wheel?

2. How high off the ground are you when you have rotated 30 degrees past horizontal.

I WANT TO SEE LOTS O' MATH FOR #2!

Blog Post 7A

I have an angle A, and A is between 0 and 2pi radians.

The Sin A = 0.5

Therefore I say that A = pi/2

What is wrong with my argument for the value of A.

Blog Post 7A Radians Help

A lot of students are having trouble figuring out/remembering radians on the unit circle. Describe how you think about/how you figured out/ how you remember the radian measurements on the unit circle.

BE VERY SPECIFIC! Pretend you are teaching someone who has never heard of radians. Remember to be additive not repetitive.

Picture of Completed Trig Table

http://www.flickr.com/photos/jencellio/1097873067/

Empty Trig Table

Empty Trig Table

Unit Circle Notes

Introduction to the Unit Circle

Blog Post 6E

Ok even though I said the post on Obama was completely apolitical. I figured we would even the field and pick on a GOP candidate. Please go to this link, watch the video and double check John Stewart's Math on how long it would take to create enough jobs.

http://www.thedailyshow.com/watch/tue-april-12-2011/indecision-2012---mitt-romney-competes-with-crazy-people

I WANT TO SEE ACTUAL MATH HERE!

By the way, Mitt Romney's corporation Bain Capital has approximately 375 employees.

Blog Post 6D

I love the daily show. But they need to work on their math. Please figure out what percent should be in the blurred out box based on the picture. We will reveal the answer later on.

I WANT TO SEE ACTUAL MATH!!!!

Post 6C

The order you do a transformation matters. Answer all the questions.

Let's say we have the function f(x) = x^2. Let's put it through the following transformations.
a. translate up 2
b. reflect over the x-axis.

1. What would the graph look like if you did 'a' first and then 'b'?
2. What would the graph look like 'b' first and then 'a'

3. Make a prediction of what g(x) = (-x - 2)^2 is going to look like.
4. Double check in your calculator. How can you explain your findings?

(If you do not have a graphing calculator on you, you can go to http://webgraphing.com/graphing_basic.jsp)

Post 6B

Ok we obviously need some review work on transformations. Please post "rules" for function transformations. I'll get us started off.

Let's say we have the the function f(x). If I define g(x) = f(x) + 2, it will shift the graph up 2. If I define g(x) = f(x) -2 it will shift the graph of f(x) down 2. So in general if you add or subtract a number outside of the original function, it will shift it up or down that amount. If you add a number it will move up, if you subtract a number it will move down.

Now you guys finish the rules.

Post 6A

I have a right triangle ABC with hypotenuse length 1. Angle A measures 30 degrees. Find all of the six trig ratios of the angle A.

If you understand what is going on in class really well, this will take you no time at all. Remember, you do no have to post a complete answer. You can start the discussion, and add on to it later. Do not assume you have to fully answer the question in the first post. It should be a conversation.

Homework

#1-10 due on Friday. 11-30 due by Monday. Do on your own piece of paper or print it out and complete on printout.

Exact Trig Values of Special Angles

Answer to Obama Question

The infamous Unit Circle... starting wednesday

Introduction to the Unit Circle

What we are starting on Wednesday

Trigonometric Ratios in Special Right Triangles

Problems on Trig Ratios in the coordinate plane

Trigonometric Ratios

Reference Angles HW

This was a great homework assignment. Many of you did not do the back. Try it if you did not.

Reference Angles Homework

Standard Angles in Radians

Sketching Angles in Standard PositionRadians

Sorry

Sorry I have not been good about keeping the blog updated the last week. Life is crazy sometimes but I need to do a better job... my apologies. Here are some posts... make sure you look back for this weeks blog post ideas.

Blog Post 5D

Sequences are just numbers in a particular order. Look at the sequence of odd numbers.

1,3,5,7,9,...

Add up parts of the sequence...

1 + 3 = ??

1 + 3 + 5 = ???

1 + 3 + 5 + 7 = ???

What do you notice?

Now subtract any two consecutive numbers.
3 - 1 = ??

9 - 7 = ??

15 - 13 = ??

What do you notice?

Both of these facts are not a coincidence and, actually have a lot to do with the way objects fall to the ground. We will study this next semester.

Blog Post 5C

Write an equation or expression that would give you ALL of the coterminal angles for a particular angle given in degrees.

Example: If I wanted a way of writing all of the odd numbers in the real number system, I could say it is (2n - 1) where n is any integer.

Blog Post 5B

I know, I know, I know.. I hate rules and I do not want you to use rules. But if you can WRITE rules... then it shows you probably understand the concept.

So Write rules for finding reference angles depending on the quadrant you are in. One person can write them for degrees, and another person can write them for radians. You can check and correct each others rules. Or maybe you could write the rules in a completely different way.

Blog Post 5A

Read this entire article. Let me know your detailed thoughts. I want a least a good, descriptive paragraph. Remember to be additive not repetitive.

http://nymag.com/news/features/27840/