Critical Points

Please refer to these notes to graph the following:
1)  f(x)= 2x^3 +3x^2
2)  f(x)= x^2 + 5x + 4
3)  f(x)=(x + 4) (x - 2)^2
4)  f(x)=(x + 3)^2 (x - 1)^2

* (x+3)^2 means (x+3) is being SQUARED.

Review for the Chain Rule, Implicit Differentiation, and Related Rates Assessment

Here is the answer key for the review... sorry for the delay!

Mr. Yoon

Assessment on Related Rates 12/5

Hi everyone, please take a look at these completed notes from class and other previous homework assignments to study for the assessment on Monday. Have a great weekend!

Related Rates 11/29

Remember to label everything in order to get a full grasp of the problem! Here are the notes with homework solutions, while here is the normal sized homework sheet (Complete 3,4,5,6,8,11,13)

See you on Thursday! 

Chain Rule and Implicit Differentiation Assessment (11/22)

Happy Almost Thanksgiving! Here are the answers to the HOMEWORK due Tuesday. In addition to studying your notes and other homework assignments, make sure to study THIS ONE- the assessment will be similar to this. Good luck!!

Implicit Differentiation (cont.) 11/15

Here are the notes and homework (#13-29 odd) for tomorrow- I will send out the solutions when I get it written out.Please email me if you want to come by for help or other things to discuss.

Mr. Yoon

Implicit Differentiation 11/14/16

Here are the notes and homework for tomorrow!
Please email me if you want to come by for help or other things to discuss.

Mr. Yoon

More Chain Rule! 11/2/16

Hi everyone,

Here are the answers to the homework due today, and here is the homework due Monday (Solutions).

Please take the time to complete all the problems and learn them, this will help you with the Assessment on Monday (on Product Rule, Quotient Rule, and Trig Rules, NOT Chain Rule).

Please let me know if you want to come by tomorrow (Friday) or Monday for extra help. Have a great weekend!!

Mr. Yoon

Class Talk and Chain Rule... 11/1/16

THANKS again for today, everyone. I really appreciated your focus and sincerity during our talk today. I hope what we talked about in terms of my expectations of you makes sense- these really spring from my desire to view you and treat you as a mature group of seniors that you are. For those of you who weren't in class, we talked about...

• Being in clear and prompt communication with me when you are absent. 
• If you missed an assessment, please email me with the date and block you would like to make it up.
• If you missed a day of instruction, please access the notes from our blog page. 
• Please email me with a proper format (Hi Mr. Yoon, blah blah blah..., Your name)
• Seats- I want you to feel comfortable with the people around you and I don't want to give you a seating chart... You're seniors after all! Please use discretion when talking to your peers so you are not distracted too often.
• Phone usage: Again, I don't mind phone usage, as long as you are able to stay focused. I trust that you know how to monitor yourself and participate with us. 
• Homework is graded on completion, but please try your best to complete and match right answers.
• Assessment Retake: we will subscribe to the math department's policy of one assessment retake per quarter.

We did do some math today too! We went over Chain Rule, which is used for composite functions These are functions that look like f(g(x)), one function inside another. Here is the completed notes, and here are the homework problems.

Let me know if you want to come by for extra help or make assessments up!

Thanks again,

Mr. Yoon

Quotient Rule 10/27/16

Hi all! Here are the class notes on Product Rule (blank version) and Quotient Rule (blank version).
(you can click on Product Rule for the notes and "blank version" for the original sheet- they are two different links. Also, don't forget to log in to your Billerica email to access these.)

Your homework for Monday is to complete the Quotient Rule worksheet.

Have a great weekend!
Mr. Yoon

More Rules... 10/25/16

I was so impressed to have you all write the product rule yourself... Maybe we will call that rule Michelle rule!

Here are the three worksheets we worked through including last night's homework, today's classwork on higher order derivatives, and product rule. 

Here are the blank ones.

- Last night's homework (Basic derivative rules)

- Higher order derivatives

- Product Rule

Your homework for Thursday is:

- Finish Product Rule worksheet

- STUDY for an assessment (quiz) on: Definition of Derivative and Basic Derivative Rules (Constant rule, constant multiple rule, and power rule)

Please let me know if you have questions or want to come by for extra help!

Basic Derivative Rules!! 10/24/16

Basic Derivative Rules!! That was cool... wasn't it?

Here is homework sheet with answers in the back. We are going to have an ASSESSMENT on the definition of derivative and these basic rules for derivative on Thursday. 

Have a great day! ~ Mr. Yoon

Basic Derivative Rules!!

Basic Derivative Rules!! That was cool... wasn't it?

Here is the homework sheet with answers in the back. We are going to have an ASSESSMENT on the definition of derivative and these basic rules for derivative on Thursday. 

Have a great day! ~ Mr. Yoon

Using the definition of derivative...

Good work today, everyone! I am glad we got a good amount of practice in, and I hope you feel a bit more comfortable after today's class. I know I shoved a lot of information there, but I will try to give you guys a bit more group work or rest to break the 85 minutes up. Have a wonderful weekend, and please check out these resources if you missed them:

Notes:
- We mainly did problems on Classwork page and Derivative 1 which was last night's homework.
- Completed Notes from today: Classwork and Derivative 1
- Homework:Finish Derivative 1 worksheet and Derivative 2 Worksheet (complete just the front #1-12 for Derivative 2 wkst)

Let me know if you need help and want to come in on Friday or Monday!

Mr. Yoon

Class 10/18

Hi everyone, thanks again for your attention- I know things can still be a bit blurry with the definition of derivative. Please do your best and bring specific questions!

Click on the following to access....

Blank Notes: Intro to Derivative, Classwork

Completed Notes

Homework (just the first side)

See you on Thursday!

Thank you for your participation during our first class. I am excited for many more to come! I wish we had more time to talk about the slope of the tangent line, but take a look at this video. Since you have another piece of homework, just watch the first 5 minutes of this video. This will help our understanding! ~Mr. Yoon

Welcome

Welcome to our gathering place blog! I would love to get to know you more... Would you please take a bit of time and fill out this form? Thank you! ~Mr. Yoon