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Includes instruction outcomes across functions and graphs, limits and continuity, differentiation (rules, chain rule, implicit differentiation, related rates, optimization), and integration (Riemann sums, definite integrals, FTC, substitution, differential equations, applications).",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/ap-calculus-ab-course-syllabus-assessment-practices-and-curriculum-framework/313844/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/ap-calculus-ab-course-syllabus-assessment-practices-and-curriculum-framework/313844.png","ImageObject",300,407,{"name":42,"@type":43},"McGucket","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-05","2026-09-20",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",16,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What is the course focus in AP Calculus AB?","Question",{"text":63,"@type":64},"Students develop a cohesive understanding of calculus concepts and applications using big ideas such as modeling change, approximation and limits, and analysis of functions. The course requires building arguments using definitions and theorems and uses a multi-representational approach (graphical, numerical, analytic, and verbal).","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How are students assessed throughout the course?",{"text":68,"@type":64},"Assessment includes varied methods such as traditional quizzes and tests, problem/solution/explanation opportunities where students communicate reasoning, and AP exam practice questions incorporated throughout the course.",{"name":70,"@type":61,"acceptedAnswer":71},"What topics are covered in the four quarters?",{"text":72,"@type":64},"The syllabus progresses from prerequisite function skills and limits/continuity in the first quarter, to chain rule, implicit differentiation, and related differentiation applications in later quarters. It then covers integration and accumulation of change, including the Fundamental Theorem of Calculus, substitution, and differential equations, followed by applications of integration such as average value, area between curves, and volumes via cross sections.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},313844,1789899469,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":80,"read_time":111,"preview_page_count":4},1236954412713,"https://us-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","AP Calculus AB Course Syllabus  \nCourse Description  \nAP Calculus AB focuses on students’ understanding of calculus concepts and provides experience with methods and applications. Through the study of the big ideas of calculus (e.g., modeling change, approximation and limits, and analysis of functions), the course becomes a cohesive whole, rather than a collection of unrelated topics. The course requires students to use definitions and theorems to build arguments and justify conclusions. The course features a multi -representational approach to calculus, with concepts, results, and problems expressed graphically, numerically, analytically, and verbally. Exploring connections among these representations builds understanding of how calculus applies limits to develop important ideas, definitions, formulas, and theorems. A sustained emphasis on clear communication of methods, reasoning, justifications, and conclusions is essential. Teachers and students will regularly use technology to reinforce relationships among functions, to confirm written work, to implement experimentation, and to assist in interpreting results. In alignment with the Holy Cross Portrait of the Crusader, students solve problems with innovation and imagination, think critically about the synthesis of data, and respond with defendable, original work.  \nAssessment Practices  \nThroughout this course, the teacher strives to include varied assessments, including traditional quizzes and tests to measure discrete skills; problem/solution/explanation opportunities where students solve a complex problem and communicate their reasoning; and, AP exam practice questions which are incorporated throughput the course.  \nEssential Questions  \n1. How do we represent patterns and operations using limits, derivatives and integrals?  \n2. How do we interpret and analyze real life situations using calculus?  \n3. How do we use technology to solve and/or visualize mathematical sentences?  \nCurriculum Framework  \nFIrst Quarter:  \nSummer Work to Reinforce Prerequisite Skills  \n● Define, apply and interpret the following types of functions and their graphs:  \n○ Linear  \n○ Quadratic  \n○ Higher order polynomials  \n○ Rational  \n○ Trigonometric  \n○ Exponential  \n○ Logarithmic  \nLimits and Continuity  \n● Define limits and continuity  \n● Apply limit and continuity definition to tables, graphs, and functions  \n● Remove discontinuities  \n● Connect limits to horizontal and vertical asymptotes  \nDifferentiation  \n● Define average and instantaneous rates of change at a point  \n● Define the derivative of a function and using derivative notation  \n● Connect the differentiability and continuity  \n● Define and Apply derivative rules  \n● Define and Apply the derivative of various functions  \nSecond Quarter: Differentiation  \n● Apply the chain rule  \n● Define and Apply implicit differentiation  \n● Calculate higher order derivatives  \nApplication of Differentiation  \n● Interpret the meaning of the derivative in context  \n● Connect position, velocity and acceleration  \n● Apply rates of changes in contexts other than motion  \n● Solve related rates problems  \n● Approximate values of a function using local linearity and linearization  \n● Use L'Hospital's rule for determining limits of indeterminate forms  \nAnalytical Applications of Differentiation  \n● Apply the mean value theorem  \n● Apply the extreme value theorem  \n● Determine intervals on which a function is increasing or decreasing  \n● Define and Apply the first and second derivative tests  \n● Introduce and solve optimization problems  \n● Explore behaviors of implicit relations  \nThird Quarter:  \nIntegration and Accumulation of Change  \n● Explore accumulation of change  \n● Approximate areas using Riemann sums, and trapezoidal rule  \n● Define the definite integral notation  \n● Define the Fundamental Theorem of Calculus  \n● Interpret the behavior of accumulating functions involving area  \n● Apply properties of definite integrals  \n● Find antiderivatives a","cbCaiucrOIYahfKn","https://ap.wps.com/l/cbCaiucrOIYahfKn","pdf",71000,"English","# Course Description\n# Assessment Practices\n# Essential Questions\n# Curriculum Framework\n## First Quarter\n## Second Quarter\n## Third Quarter\n## Fourth Quarter\n# Resources\n# Grading","[{\"question\":\"What is the course focus in AP Calculus AB?\",\"answer\":\"Students develop a cohesive understanding of calculus concepts and applications using big ideas such as modeling change, approximation and limits, and analysis of functions. The course requires building arguments using definitions and theorems and uses a multi-representational approach (graphical, numerical, analytic, and verbal).\"},{\"question\":\"How are students assessed throughout the course?\",\"answer\":\"Assessment includes varied methods such as traditional quizzes and tests, problem/solution/explanation opportunities where students communicate reasoning, and AP exam practice questions incorporated throughout the course.\"},{\"question\":\"What topics are covered in the four quarters?\",\"answer\":\"The syllabus progresses from prerequisite function skills and limits/continuity in the first quarter, to chain rule, implicit differentiation, and related differentiation applications in later quarters. It then covers integration and accumulation of change, including the Fundamental Theorem of Calculus, substitution, and differential equations, followed by applications of integration such as average value, area between curves, and volumes via cross sections.\"}]","AP Calculus AB Course Syllabus - Assessment Practices and Curriculum Framework | PDF"]