• Are you ready for Calculus?

    Text book: 

     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)

              

                  

           

       

                 

     

     

    Area under the curves Area under the curves

    Area under the curves Area under the curves

     

    Roller Coaster Project  

    Volume by slicing project   End second semester

     

    Scratch Programming Project  

     

    College Board website: 

     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)

      by Echo Nguyen      to a curve by Beson Ton

     by Benson Nguyen      by Allen Lam

    Desmos illustration of  for any location by Ander Switalla