GREENWOOD PUBLIC SCHOOL DISTRICT AP Calculus AB Pacing Guide FIRST NINE WEEKS
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1 AP Calculus AB FIRST NINE WEEKS 1 Aug Introduction to Course Classroom Expectations/Syllabus/Overview Course Requirements/Administer Learning Styles Inventories 1 Limits Estimate limits from graphs or tables. Aug Limits Calculate limits using algebraic methods. 2 Aug Limits Calculate limits using algebraic methods. 3 Aug Sept Sept. 7 Sept 3: Labor day 6 Continuity Determine and justify the continuity and discontinuity functions 5 Sept (Sept. Labor Day) 6 Continuity Determine and justify the continuity and discontinuity functions 6 Sept Estimate numerical derivatives from graphs or tables data. 7 Sept , 11, 12, 13 State and apply the formal definition a derivatives Apply differentiation rules to sums, products, quotients, and powers functions. 9 Oct Review Objectives 1 st 9 s Exam
2 AP CALCULUS AB SECOND NINE WEEKS 1 Oct. 8 9 (Oct. 9 Parent Conf.) (Oct Fall Break.) 2 Oct Apply differentiation rules to sums, products, quotients, and powers functions. 11 Apply differentiation rules to sums, products, quotients, and powers functions. 3 Oct , 13 Use the chain rule and implicit differentiation. Describe the relationship between differentiability and continuity. Oct. 29 Nov Nov Nov , 16 15, Define a derivative and explain the purpose/utility the derivative. Apply the derivative as a rate change in varied contexts, including velocity, speed, and acceleration. Define a derivative and explain the purpose/utility the derivative. Apply the derivative as a rate change in varied contexts, including velocity, speed, and acceleration. Apply the derivative to find tangent lines and normal lines to given curves at given points. 7 Nov Dec Dec Dec. 17 (Dec., 60% Day) Model rates change to solve related rate Solve optimization 19. Model rates change to solve related rate Solve optimization 19. Model rates change to solve related rate Solve optimization Review Objectives 2 nd 9 s Exam
3 NAME OF SUBJECT/COURSE THIRD NINE WEEKS 1 Jan Review rules derivatives, tangent and normal lines, related rates and errors and approximations. 2 Jan (Jan. 1, MLK) Use derivatives to identify critical points, increasing, decreasing functions. 3 Jan Use derivatives to identify critical points, increasing decreasing function and firsti derivative test to identify relative extrema a continuous function. Jan. 28 Feb. 1 5 Use second derivatives test to identify relative extrema and apply it to real life situations. 5 Feb. 8 5 Use derivatives to find critical points, relative extrema and points inflection to discuss concavity and curve sketching. 6 Feb Use derivatives to discuss Rolles and Mean value throems and their geometrical meaning. 7 Feb (Feb. 19, Pres. Day) Find the integrals as antiderivatives a function and extend the idea to indentify integrals various function. 8 Feb. 25 Mar.1 5 Find the integrals as antiderivatives a function and extend the idea to indentify integrals various function. 9 Mar. 8 5 Review Objectives 3 rd 9 s Exam
4 NAME OF SUBJECT/COURSE FOURTH NINE WEEKS 1 Mar Evaluate areas under a curve and Volumes generated by rotating a function about x-axis and extend the concept to the area between functions and volumes by shell method. 2 Mar Apr Evaluate areas under a curve and Volumes generated by rotating a function about x-axis and extend the concept to the area between functions and volumes by shell method and Volumes solids known cross-section. Evaluate integrals through numerical approximation. Evaluate Riemann Left, Right and Midpoint methods m Apr Evaluate integrals by u-substitution. 5 Apr Differential equations Solve Differential equations using variable-separable method for general and particular solutions. 6 Apr Differential equations Sketch a slope field and predict the solution for the given differential equation. 7 Apr. 29 May 3 5 Review Review for AP EXAMINATION 8 May Review Review for AP examination 9 May May. 23 EXAM TBA Review Objectives th 9 s Exam
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