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    Calculus (ACE): This course is a dual enrollment course offered in collaboration with Westchester Community College (WCC) through its Advanced College Experience (ACE). This course includes topics in differential and integral calculus. The final exam is a departmental exam. Students must pay the (discounted) fee for WCC credit to receive a Westchester Community College transcript. 

     
     
     
     

     
    Please note that the timelines listed below are a guide. Teachers modify their pacing based on student needs in order to ensure concept mastery.
     

    Unit 1

    Pre-calculus Review

    September

     

    Concepts

     Textbook Resources

     

    Factoring

     

     
    Teacher Generated Materials

    Review Functions

    Piecewise Functions

    Finding Zeros of a Polynomial Function

    Graphing Rational Functions

    Unit 2

    Introduction to Limits

    Sept - Oct

     

    Concepts

    Resources

     

    Intro to Limits Graphically

     

     
    Teacher Generated Materials

    Limit Laws and Finding Limits Algebraically

    -piecewise functions

    Limits to Infinity

    Limits of Trig Functions

    Unit 3

    Continuity

    Oct - Nov

     

    Concepts

    Resources

     

    Definition of Continuity

     

     
    Teacher Generated Materials

    Classifying types of Continuities

    Determining if a function is continuous- using the 3 part definition

    Domain of compositions of Functions and Continuities

    End of Quarter 1 

    Unit 4

    The Derivative

    Nov - Dec

     

    Concepts

    Resources

     

    What is the Derivative?

     

     
    Teacher Generated Materials

    Definition of the Derivative

    Finding the First Derivative using the definition of the derivative

    Intro to Rules- Power Rule, Sum and Difference, Product, Quotient, and Chain Rule

     

    Midterm Exam

     

    Unit 5

    Implicit Differentiation

    Jan - Feb

     

    Concepts

    Resources

     

    Differentiating Implicitly-all rules

     

     Teacher Generated Materials

    Higher Order Derivatives

    Applications of the Derivative

    Derivatives of Trig Functions

    End of Quarter 2 

    Unit 6

    Curve Sketching

    March - April

     

    Concepts

    Resources

     

    Relative Maximum and Minimum

     

     
    Teacher Generated Materials

    Absolute Maximum and Minimum

    Second Derivative and Concavity

    Sketching a Graph of a Polynomial Functions

    Sketching a Graph of Rational Functions

    End of Quarter 3 

    Unit 7

    Integration

    April - May

     

    Concepts

    Resources

     

    The Antiderivative- the indefinite integral

     

     
    Teacher Generated Materials

    Left and Right Riemann Sums

    Approximating using left and right endpoint rectangles

    Riemann Sums as n approaches infinity

    The Definite Integral

     

    Final Exam

    Before Memorial Day