AP Calc Tentative 2nd Semester Plan (2021)
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AP Calc REVIEW Materials
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AP Calc-AB Worksheets by Topics
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AP Calculus-AB worksheets by topics
Functions, Limits, & Continuity |
Differentiation |
- Interesting Graphs – A few equations to graph that have interesting (and hidden) features. pdf
- Functions – Properties of functions and the Rule of Four (equations, tables, graphs, and words). pdf
- Reading a Position Graph – Answer questions about motion using a position graph. pdf
- Reading Graphs – Four graphs and questions using function notation. pdf
- Find a Function – Find an example of a function in the media. pdf
- INDY 500 – Sketch graphs based on traveling one lap along an oval racetrack. pdf
- Farenheit – The relationship between Farenheit and Celsius. pdf
- Linear Functions – Applications. pdf
- Exponential Functions – Recognizing exponential functions and their properties. pdf
- Inverse Functions – Relationships between a function and its inverse. pdf
- New Functions From Old – Transformations, compositions, and inverses of functions. pdf
- Transformations – A matching exercise using symbolic expressions and tables. pdf
- More Transformations – Graphing transformation. pdf
- Logarithms – Using logarithms to solve problems. Properties of logas. pdf
- Trig Reference Sheet – List of basic identities and rules. pdf
- Trig (part I) -Interpreting trig functions and practice with inverses. pdf
- Trig (part II) – More practice. pdf
- Denise & Chad – An illustration of the effects of changes in amplitude and period. pdf
- Polynomials & Rational Functions – Recognizing polynomials and rational functions and their properties. pdf
- Power Functions – Use graphs to explore power functions. pdf
- Limits and Continuity – Graphical and numerical exercises. pdf
- More Continuity – Basics about continuity. pdf
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- Introduction to Rates – Introduction to rates of change using position and velocity. pdf
- Representations – Symbolic recognition and illustration of rates. Practical interpretation of rates of change using the rule of four. pdf
- Practical Example – Reading information about rates from a graph. pdf
- Estimation – Estimation using tables and equations. Practice with notation and terminology. pdf
- Derivative Graphs – Graphing a derivative function given a graph. pdf
- More Derivative Graphs – Matching exercise. pdf
- Terminology – Fill in the blank exercise. Practice with terminology pdf
- Differentiability – Determine when a function is not differentiable at a point. pdf
- More Differentiability – More practice. pdf
- Practice – Additional practice covering this section. pdf
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Derivatives |
- Product & Quotient Rules – Practice using these rules. pdf
- Chain Rule – Practice using this rule. pdf
- Base e – Derivation of e using derivatives. pdf
- Rules – Practice with tables and derivative rules in symbolic form. pdf
- More Practice – More practice using all the derivative rules. pdf
- More Practice – More practice using all the derivative rules. pdf
- Derivative (& Integral) Rules – A table of derivative and integral rules. pdf
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Applications of Derivatives |
Definite & Indefinite Integrals/Applications |
- Reading Graphs – Reading information from first and second derivative graphs. pdf
- Critical Points Part I – Terminology and characteristics of critical points. pdf
- Critical Points Part II – Finding critical points and graphing. pdf
- Families of Functions – Finding critical points for families of functions. pdf
- More Families of Functions – Finding values of parameters in families of functions. pdf
- Optimization Part I – Optimization problems emphasizing geometry. pdf
- Optimization Part II – More optimization problems. pdf
- Parametric Equations (Circles) – Sketching variations of the standard parametric equations for the unit circle. pdf
- Parametric Equations (Misc) – Fun graphs using parametric equations. pdf
- Parametric Equations – Finding direction of motion and tangent lines using parametric equations. pdf
- Holiday Parametric Equations – Halloween surprise. pdf
- L’Hopital’s Rule – Practice in recognizing when to use L’Hopital’s Rule. pdf
- Limit Practice -Additional practice with limits including L’Hopital’s Rule. pdf
- Introduction to Related Rates – Finding various derivatives using volume of a sphere and surface area of a cylinder. pdf
- Related Rates – Additional practice. pdf
- More Related Rates -Additional practice. pdf
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- Intro to Velocity and Area – Relationship between velocity, position, and area. pdf
- Representations – Practice with notation, estimation, and interpretations. pdf
- Rocket – Application of velocity and position for a model rocket. pdf
- Mice – Application of velocity and position for two mice. pdf
- Cars – Application of velocity, position, and acceleration of two cars. pdf
- Fundamental Theorem Part I – Graphical approach. pdf
- Fundamental Theorem Part II – Illustrations and notation. pdf
- Position, Velocity, & Acceleration – Graphical relationships between position, velocity, and acceleration. pdf
- Sketching Antiderivatives – Graphing antiderivatives. pdf
- Area Between Graphs – Using the Fundamental Theorem to find area between graphs. pdf
- Practice – Problems from chapters 5 and 6. pdf
- Integration – Recognizing when to use substitution. Integrands look similar. pdf
- Substitution – Practice, including definite integrals. pdf
- More Substitution – More practice. pdf
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Differential Equations |
- Separation of variables
- Slope fields
- Exponential growth and decay
- Particle motion
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