Dear Students,
Elizabeth found a nice website here that has some detailed examples of u-substitution and integration of trig functions.
David like the Brightstorm video of Approximating Area for Riemann Sums.
Daniel viewed this Brightstorm video on u-substitution with integrals with radicals.
Conor liked this Birghtstorm video that included finding the average value of a function.
Chris found this U-Tube video for Trapezoidal Approximations and this website for reinforcement of the Trap Rule.
Khalid found this great website from Visual Calculus that has practice problems on u-substitution you can work and get immediate feedback on them.
Mrs. Guthrie
Friday, December 31, 2010
Sunday, December 12, 2010
Blog #11 Review of Integration
We have covered the following topics of Integration:
- Integration as Area
- Riemann Sums, Trapezoidal Sums
- Indefinite Integration
- Definite Integration
- Integration of Trigonometric Functions
- The Fundamental Thm of Calculus & The Second Fundamental Thm of Calculus
- Integration by Substitution (Indefinite & Definite Integrals)
1. Which of these topics do you feel most confident with? Why do you think you understand/perform so well?
2. Which of these topics do you feel lease confident with? Why do you think you have trouble?
3. Find one or two resources (websites, links, videos, textbook pages, notes, etc.) that covers one (or more) of your "least confident" topics you mentioned in #2. Please take some time to review these resources as our Unit 4 Test is this week.
Blog #11 is due Thursday 12/16 @ 11:59 pm. However, please try to complete this before our Unit 4 Test as an additional form of review.
Sunday, December 5, 2010
Blog #10 What Inspires You?
Dear AP Calculus Students,
I'm interested in knowing what inspires you. Your assignment for this week is to share one (or two) things that inspire you. These may be quotes, pictures, videos, stories, etc.
Feel free to be creative with your post, and please be thoughtful. :) Due Friday 12.10.10 @ 11:59pm.
And to start, I'd like to share one of my inspirations:
Okay... so I chose an education quote. Surprise, surprise. I stumbled across Mandela's statement several years ago, and as I read it, I felt something inside of me move. It was saying, "Yeah! Preach it Nelson!" Granted, Mandela was likely describing the education of children in South Africa, but I can only assume that he would feel the same for all children/people. This notion, my bright AP Calculus students, is not only what challenges me to continue to pursue education as a profession, but it also encourages me to never stop being a student.
I think I've mentioned before that I consider myself a life long learner. I love learning. Yes. I just said that. I love learning. I love knowing I have walked away from a class, a book, a video knowing more than I did before. I love it when I have those "Aha!" moments.
The more I learn about the world (calculus included), the more open I am to other view points, the more empowered I feel to believe in a movement, the more I know how my knowledge can help others. The more I learn, the more questions I have... which may lead to frustration or annoyance, but questions none the less.
All in all, the words of this peace activist have inspired me to never take my education for granted.
Mrs. Guthrie
I'm interested in knowing what inspires you. Your assignment for this week is to share one (or two) things that inspire you. These may be quotes, pictures, videos, stories, etc.
Feel free to be creative with your post, and please be thoughtful. :) Due Friday 12.10.10 @ 11:59pm.
And to start, I'd like to share one of my inspirations:
"Education is one of the most powerful weapons with which you can use to change the world." -Nelson Mandela
Click here to watch a short video regarding education and school in Africa (via UNICEF and the Nelson Mandela Foundation).
Click here to watch a short video regarding education and school in Africa (via UNICEF and the Nelson Mandela Foundation).
Okay... so I chose an education quote. Surprise, surprise. I stumbled across Mandela's statement several years ago, and as I read it, I felt something inside of me move. It was saying, "Yeah! Preach it Nelson!" Granted, Mandela was likely describing the education of children in South Africa, but I can only assume that he would feel the same for all children/people. This notion, my bright AP Calculus students, is not only what challenges me to continue to pursue education as a profession, but it also encourages me to never stop being a student.
I think I've mentioned before that I consider myself a life long learner. I love learning. Yes. I just said that. I love learning. I love knowing I have walked away from a class, a book, a video knowing more than I did before. I love it when I have those "Aha!" moments.
The more I learn about the world (calculus included), the more open I am to other view points, the more empowered I feel to believe in a movement, the more I know how my knowledge can help others. The more I learn, the more questions I have... which may lead to frustration or annoyance, but questions none the less.
All in all, the words of this peace activist have inspired me to never take my education for granted.
Mrs. Guthrie
Monday, November 29, 2010
Blog # 9 Feedback
Visit Blog #9 Feedback Survey and answer each question regarding your take on our AP Calculus class.
Sunday, November 21, 2010
Blog #8 Thanksgiving
Due Monday 11/29 @ 11:59 pm.
I'm sure you expected to have a blog assignment where you were required to "reflect on what you are thankful for"... this being the week of Thanksgiving and all...
This weekend, I attended the lighting of the downtown Pineville Tree. I had visited the yarn shop right across the street right before the event, to purchase some yarn to make Christmas presents with. So standing at the tree, with my hot chocolate warming my hands and the excitement of two new skeins of yearn (yes... I get excited about yarn), a woman from Pineville shared a quick reflection. In her reflection, she told of a few families in the community that were going through some difficult times, and the children of the family were left without the many luxuries most children have.
For example, a little girl's Christmas Wish List was, "a book, an apple, and a chocolate bar". The simplicity of her requests blew me away. These are the top three things a little child in our community wishes she had for the holidays.
This week, I would like to extend the opportunity for us all to reflect not only on what we are thankful for, but perhaps how we can "give" to others this holiday season. There are many definitions for "giving". Giving can come in many shapes and sizes.
I would like for you to think of just one "thing" that you can give someone over the next few weeks. This someone may be someone you know, someone you're close to, someone you don't know, or someone in your community (globally). Your "gift" can take the form of anything you'd like, and you are free to "give" it whenever you see fit. There are no restrictions, and there are no right or wrong answers here. Feel free to be as creative as you would like. There is no time limit for the gift to be given.
Please post your reflection by Monday, November 29th. And, if/when you go out of your way to "give", you are welcome to post an additional reflection whenever the time suits you. A follow up reflection is not required, but is encouraged.
So Dearest AP Calculus Students, have a very happy Thanksgiving Break.
Mrs. Guthrie
P.S. If you feel inclined to do so, I will be collecting donations for The Global Give -- an outreach created by one of my college friends. He visits a small town in Mexico each winter to share presents with children who face the struggles of poverty each and every day. Visit the website for more information.
I'm sure you expected to have a blog assignment where you were required to "reflect on what you are thankful for"... this being the week of Thanksgiving and all...
This weekend, I attended the lighting of the downtown Pineville Tree. I had visited the yarn shop right across the street right before the event, to purchase some yarn to make Christmas presents with. So standing at the tree, with my hot chocolate warming my hands and the excitement of two new skeins of yearn (yes... I get excited about yarn), a woman from Pineville shared a quick reflection. In her reflection, she told of a few families in the community that were going through some difficult times, and the children of the family were left without the many luxuries most children have.
For example, a little girl's Christmas Wish List was, "a book, an apple, and a chocolate bar". The simplicity of her requests blew me away. These are the top three things a little child in our community wishes she had for the holidays.
This week, I would like to extend the opportunity for us all to reflect not only on what we are thankful for, but perhaps how we can "give" to others this holiday season. There are many definitions for "giving". Giving can come in many shapes and sizes.
I would like for you to think of just one "thing" that you can give someone over the next few weeks. This someone may be someone you know, someone you're close to, someone you don't know, or someone in your community (globally). Your "gift" can take the form of anything you'd like, and you are free to "give" it whenever you see fit. There are no restrictions, and there are no right or wrong answers here. Feel free to be as creative as you would like. There is no time limit for the gift to be given.
Please post your reflection by Monday, November 29th. And, if/when you go out of your way to "give", you are welcome to post an additional reflection whenever the time suits you. A follow up reflection is not required, but is encouraged.
So Dearest AP Calculus Students, have a very happy Thanksgiving Break.
Mrs. Guthrie
P.S. If you feel inclined to do so, I will be collecting donations for The Global Give -- an outreach created by one of my college friends. He visits a small town in Mexico each winter to share presents with children who face the struggles of poverty each and every day. Visit the website for more information.
Funny Calculus Cont.
Here's a conglomeration of your funny Calculus-isms. In no particular order...
CARTOONS
Found by Yonathan Watson
Found by Sean Willoughby
Also found by Yonathan Watson
Great comic: Location Prime. The first comic on the website.
Found by Crystelle Tape
Found by Crystelle Tape
"Hey Nerd! You should only graffiti cool stuff."
Found by Robby Broadbent
Found by Robby Broadbent
Found by Leigh Ann Philbee
Found by Conor Chambers & Matt Evangelisto
Found by Khalid Zaobi
VIDEOS
Found by Yonathan Watson
Found by David Fox & Matt Evangelisto
Found by Leigh Ann Philbee
Found by Daniel Blake
Derivin' Music Video
Found by Elizabeth Wood.
Calculus Teacher Goes Crazy. (Being silly with the Quotient Rule?)
Found by Robby Broadbent
Found by Sean Willoughby
I Don't Want to Miss A Thing (AP Calculus)... Aerosmith?
Found by Kevin Satink
The Quotient Rule Song. By two Calculus students.
Found by Elizabeth Wood
U Can't Graph This... duh nuh nuh nuh...
Found by Conor Chambers & Kevin Satink
Music Video. Calcusical. Whah whah whah.
Found by Matt Evangelisto
Found by Crystelle Tape
Music Video "We're Going to Integrate" --> This is Unit 4
Found by Khalid Zaobi
Calculus Romance. So sweet.
Found by Oksana Kosovan
MISC.
Found by Sean Willoughby
Found by Robby Broadbent
Found by Khalid Zaobi
Found by David Fox
A t-shirt image found by Leigh Ann Philbee
Found by Oksana Kosovan & Khalid Zaobi
Found by Kevin Satink
Also found by Oksana Kosovan
Found by Conor Chambers
Found by Daniel Blake
Found by Kevin Satink
Sunday, November 14, 2010
Calculus Can Be Funny
Your assignment
1. One must be a cartoon.
2. One must be a video.
3. And one can be a medium of your choice.
4. Must be school appropriate.
Please post links, videos, and pictures for each of your findings. :)
Due Friday 11.19.10 @ 11:59pm.
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