Are you ready for Calculus?

Text book:  Calculus (AP)  Finney ... 5th Edition

 The Concept Outline

Big Idea 1: Limits

(Enduring Understandings)

EU 1.1: The concept of a limit can be used to understand the behavior of functions.
EU 1.2: Continuity is a key property of functions that is defined using limits.

Big Idea 2: Derivatives

EU 2.1: The derivative of a function is defined as the limit of a difference quotient and can be determined using a variety of strategies.
EU 2.2: A function’s derivative, which is itself a function, can be used to understand the behavior of  the function.
EU 2.3: The derivative has multiple interpretations and applications including those that involve instantaneous rates of change.
EU 2.4: The Mean Value Theorem connects the behavior of a differentiable function over an interval to the behavior of the derivative of that function at a particular point in the interval.

Big Idea 3: Integrals and the Fundamental Theorem of Calculus

EU 3.1: Antidifferentiation is the inverse process of differentiation.
EU 3.2: The definite integral of a function over an interval is the limit of a Riemann sum over that interval and can be calculated using a variety of strategies.
EU 3.3: The Fundamental Theorem of Calculus, which has two distinct formulations, connects differentiation and integration.
EU 3.4: The definite integral of a function over an interval is a mathematical tool with many interpretations and applications involving accumulation.
EU 3.5: Antidifferentiation is an underlying concept involved in solving separable differential equations. Solving separable differential equations involves determining a function or relation given its rate of change.

Big Idea 4: Series (BC)

EU 4.1: The sum of an infinite number of real numbers may converge.
EU 4.2: A function can be represented by an associated power series over the interval of convergence or the power series.

Participate / Behavior  5%

Homework  10% Textbook HW are on Google Classroom.  Need invitation to sign in

Quiz / Test  45% 

1.  Warm Up class quiz on Google Classroom - No retake

2.  Paper test after a Unit lesson done (Sometime onlines)

3.  Exam by end of Semester

Classwork 40%

Click on the link to download paper.

Cheat sheet:  Limit cheatsheet   Derivative cheatsheet   Integral cheatsheet

 WS1      WS2       WS3       WS4       WS5      WS6     WS7   Test on Limit Concept

 WS8      WS9      WS10    WS11    WS12     WS13     WS14     WS15    Test on Derivative Skills

 WS16    WS17    WS18    WS19

Project:  Take a ride  WS20   WS21   WS22   WS23   WS24    WS25    WS26    WS27

             WS28   WS29   WS30  

 Semester Review  End first semester

  WS31  WS32  WS33     WS34      WS35     WS36    WS37  

WS38   WS39   WS40    WS41  WS41 lab         WS42       WS43     WS44    WS45 

WS46     WS47  WS48   WS49   WS50    

Tech Show Project 

      Area under the curve:  Company's Logo  (Open in desmos.com)

Apple by Tazwell Borquist        Nike by Griffin Brandstetter  

Twitter by David Dinh             McDonald by Caleb Ohryn 

Sprint by Alexander Elliott       Safeway by Vincent Vaughn

Target by Kaily Malynowski      Motorola by Tobias Mick

Startrek by Cole Failing            Snap by Cleda Hodes  (pre-work)

Roller Coaster Project   Sample

Volume by slicing project   End second semester

Scratch Programming Project   http://scratch.mit.edu/users/BensonScratch/

College Board website: 

apcentral.collegeboard.com/apc/members/exam/exam_information/1997.html

 Roll down; click on Past Exam Question and choose Free-Response Questions.

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Below are video created by students (served as teaching materials)

 Synthetis Division by Echo Nguyen     Tangent equation to a curve by Beson Ton

L'Hospital basic by Benson Nguyen     About differenciation by Allen Lam

Desmos illustration of Hours of daylights for any location by Ander Switalla 

Volume by slicing project