# ap calculus ab units 1-7

Plan . If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. UNIT. Indicate units of measure. AP EXAM WEIGHTING . If you're seeing this message, it means we're having trouble loading external resources on our website. Have a test coming up? 4–7 % BC ~13–14. BC. Your teacher may choose to organize the course content differently based on local priorities and preferences. 10–12 % AB. About the Units. AB ~13–14. English Learner Advisory Committee (ELAC), Deferred Action for Childhood Arrivals (DACA), MacArthur Fundamental Intermediate School, Pío Pico Spanish Dual Language Immersion Academy, WS 10 - Evaluating Limits - Indeterminate Forms, WS 11 - Limits involving the Difference Quotient/The Squeeze Theorem, WS 14 - Continuity (Removable Discontinuities), WS 15 - Continuity (Infinite Discontinuities), WS 16 - Continuity (Jump Discontinuities), WS 21 - Limit Definition of the Derivative, WS 23 - Tangent and Normal Lines (The Power Rule), WS 26 - Evaluating Derivatives using a Calculator, WS 31 - Limits and Derivatives Free Response Questions, WS 34 - Derivatives of Sine and Cosine Functions, WS 36 - Derivatives of Exponential and Logarithmic Functions, WS 40 - Derivatives of Inverse Trigs/Review, WS 46 - Integration Involving Inverse Trig Functions, WS 51 - Approximating Area Using Riemann Sums, WS 52 - Approximating Area Using Riemann Sums #2, WS 53 - Approximating Using a Table of Values, WS 59 - Volumes of Solids with Known Cross Sections, WS 60 - Volumes of Solids by Known Cross Sections, Blackboard Web Community Manager Privacy Policy (Updated). 2. Our mission is to provide a free, world-class education to anyone, anywhere. 2.2 Rates of Change and Tangent Lines and the limit Definition of a Derivative, 2.9 Derivatives of Inverse Trig Functions, 4.3 / 4.4 Definite Integrals and First Fundamental Rule of Calculus, 4.6 Second Fundamental Theorem of Calculus. Unit 2: Rate of Change, Tangent Lines and Derivatives. Course Overview. WS 8 - Properties of Limits. Meet an AP®︎ teacher who uses AP®︎ Calculus in his classroom. … (c) Shortly after leaving home, Caren realizes she left her calculus homework at home, and she returns to get it. Contextual Applications of Differentiation. AP Calculus AB is an introductory college-level calculus course. 1.7 Unit 1 Review. WS 7 - Intro to Limits. CLASS PERIODS WEIGHTING CLASS PERIODS. ... AP Calculus AB AP Calculus BC Honor Pre-Calculus Learn AP®︎ Calculus AB for free—everything you need to know about limits, derivatives, and integrals to pass the AP® test. Full curriculum of exercises and videos. Phillips Academy was one of the first schools to teach AP®︎ nearly 60 years ago. 1.4 Continuity, Limits of Piecewise Functions, 5.3 Derivatives and Integrals of Exponential Functions, 5.6 Euler's Method and Differential Equations Day 1, 5.8 Differential Equations Day 1 and Day 2. AP® is a registered trademark of the College Board, which has not reviewed this resource. Find the value of () 12 0 ∫ vt dt. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. 2.3 Derivative Graphs 2.3 Notes Continued . Donate or volunteer today! 4–7 % BC ~22–23. David Casper, Principal2301 West MacArthur Boulevard. At what time does she turn around to go back home? Limits and Continuity. Create your own unique website with customizable templates. Bill Scott uses Khan Academy to teach AP®︎ Calculus at Phillips Academy in Andover, Massachusetts, and he’s part of the teaching team that helped develop Khan Academy’s AP®︎ lessons. BC. Unit 2: Rate of Change, Tangent Lines and Derivatives. The Course challenge can help you understand what you need to review. Khan Academy is a 501(c)(3) nonprofit organization. AB ~9–10. 4.1 Interpreting the Meaning of the Derivative in Context. Unit 2 Outline. WS 9 - … (b) Using correct units, explain the meaning of () 12 0 ∫ vt dt in terms of Caren’s trip. 10–12 % AB. The course content outlined below is organized into commonly taught units of study that provide one possible sequence for the course. 2.2 Rates of Change and Tangent Lines and the limit Definition of a Derivative 2.2 Rates of Change. Determining limits using algebraic properties of limits: limit properties, Determining limits using algebraic properties of limits: direct substitution, Determining limits using algebraic manipulation, Selecting procedures for determining limits, Determining limits using the squeeze theorem, Connecting infinite limits and vertical asymptotes, Connecting limits at infinity and horizontal asymptotes, Working with the intermediate value theorem, Defining average and instantaneous rates of change at a point, Defining the derivative of a function and using derivative notation, Estimating derivatives of a function at a point, Connecting differentiability and continuity: determining when derivatives do and do not exist, Derivative rules: constant, sum, difference, and constant multiple: introduction, Derivative rules: constant, sum, difference, and constant multiple: connecting with the power rule, Derivatives of cos(x), sin(x), ˣ, and ln(x), Finding the derivatives of tangent, cotangent, secant, and/or cosecant functions, Differentiating inverse trigonometric functions, Selecting procedures for calculating derivatives: strategy, Selecting procedures for calculating derivatives: multiple rules, Further practice connecting derivatives and limits, Interpreting the meaning of the derivative in context, Straight-line motion: connecting position, velocity, and acceleration, Rates of change in other applied contexts (non-motion problems), Approximating values of a function using local linearity and linearization, Using L’Hôpital’s rule for finding limits of indeterminate forms, Extreme value theorem, global versus local extrema, and critical points, Determining intervals on which a function is increasing or decreasing, Using the first derivative test to find relative (local) extrema, Using the candidates test to find absolute (global) extrema, Determining concavity of intervals and finding points of inflection: graphical, Determining concavity of intervals and finding points of inflection: algebraic, Using the second derivative test to find extrema, Sketching curves of functions and their derivatives, Connecting a function, its first derivative, and its second derivative, Exploring behaviors of implicit relations, Riemann sums, summation notation, and definite integral notation, The fundamental theorem of calculus and accumulation functions, Interpreting the behavior of accumulation functions involving area, Applying properties of definite integrals, The fundamental theorem of calculus and definite integrals, Finding antiderivatives and indefinite integrals: basic rules and notation: reverse power rule, Finding antiderivatives and indefinite integrals: basic rules and notation: common indefinite integrals, Finding antiderivatives and indefinite integrals: basic rules and notation: definite integrals, Integrating functions using long division and completing the square, Modeling situations with differential equations, Verifying solutions for differential equations, Finding general solutions using separation of variables, Finding particular solutions using initial conditions and separation of variables, Exponential models with differential equations, Finding the average value of a function on an interval, Connecting position, velocity, and acceleration functions using integrals, Using accumulation functions and definite integrals in applied contexts, Finding the area between curves expressed as functions of x, Finding the area between curves expressed as functions of y, Finding the area between curves that intersect at more than two points, Volumes with cross sections: squares and rectangles, Volumes with cross sections: triangles and semicircles, Volume with disc method: revolving around x- or y-axis, Volume with disc method: revolving around other axes, Volume with washer method: revolving around x- or y-axis, Volume with washer method: revolving around other axes, See how our content aligns with AP®︎ Calculus AB standards.

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