# AP Calculus

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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 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 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 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 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 Differential Equations Separation of variables Slope fields Exponential growth and decay Particle motion