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Year |\n| --- | --- |\n| Grade Level: 11-12th Grade\u003Cbr>Prerequisite: Precalculus Honors or AP Precalculus | Department: Math |\n| Course Overview: Calculus A/B is an advanced placement course that develops students’ understanding of the concepts of limits, derivatives, and integrals, and provides experience with the methods and applications of these concepts. The class emphasizes a multi-representational approach to calculus through geometric, numeric, analytic, and verbal representations. One goal of this course is to prepare students for the AP Calculus A/B exam in May. Instruction provides the opportunity for students to enhance their understanding of concepts and the applications of skills through the use of technology. Students must have a graphing calculator for this course. The recommended calculator model is the TI-84 CE. Cost of the AP exam is $98 .00, which is subject to change. |  |\n| Units: Time Frame: Unit 1: Limits & Continuity 5-6 Weeks Unit 2: Derivatives: Defi nition & Interpretation 5-6 Weeks Unit 3: Differentiation Rules 6-7 Weeks Unit 4: Applications of Derivatives 6-7 Weeks Unit 5: Integrals & Accumulation of Change 5-6 Weeks Unit 6: Applications of Integration 5-6 Weeks Unit 7: Differential Equations & Modeling 3-4 Weeks Unit 8: AP Exam Review & Post-Exam Application 4-5 Weeks Standards Supporting Learning Targets\u003Cbr>Primary Resources Used: AP College Board\u003Cbr>Digital Tool: n/a |  |\n\n*This Guide is a living document and maybe updated throughout the school year to reflect student and class  \nneeds, instructional pacing, and other relevant factors.*  \nBack to the top Last Updated 3.25.26  \n\n| Unit 1: Limits & Continuity |  |\n| --- | --- |\n| Broad Goals of the Unit:\u003Cbr>● Students will develop a conceptual understanding of limits and continuity as the foundation of calculus. |  |\n| Essential Questions:\u003Cbr>● How does a limit describe behavior near a point?\u003Cbr>● When is a function continuous?\u003Cbr>● Why are limits essential to calculus? |  |\n| Enduring Understandings:\u003Cbr>● Limits describe function behavior without requiring exact values.\u003Cbr>● Continuity connects graphical, numerical, and algebraic representations.\u003Cbr>● Limits provide the basis for derivatives and integrals. |  |\n| “I can” statement with standards alignment:\u003Cbr>● I can evaluate limits using multiple representations.\u003Cbr>● I can determine whether a function is continuous.\u003Cbr>● I can explain the meaning of a limit in context. |  |\n| At the end of the unit students will know and be able to:\u003Cbr>● Evaluate limits graphically, numerically, and algebraically\u003Cbr>● Identify types of discontinuities\u003Cbr>● Apply properties of limits |  |\n| Assessment Evidence |  |\n| Formative: Limit tables, graph analysis, exit tickets | Summative: Unit test with AP-style multiple choice and free response |\n| Learning Plan |  |\n| Vocabulary of the Unit: Limit, continuity, discontinuity, one-sided limit, infi nite limit, asymptote |  |\n| Resources:\u003Cbr>● College Board AP Calculus Course and Exam Description\u003Cbr>● TI-84 CE graphing calculator\u003Cbr>● AP Classroom practice questions | Differentiated Learning Strategies:\u003Cbr>● Visual limit explorations using graphs\u003Cbr>● Scaffolded algebraic practice\u003Cbr>● Extension tasks using epsilon-style reasoning |\n\n\n| Unit 2: Derivatives: Definition & Interpretation |\n| --- |\n| Broad Goals of the Unit:\u003Cbr>● Students will understand derivatives as rates of change and slopes of tangent lines. |\n| Essential Questions:\u003Cbr>● What does a derivative represent? |\n\nBack to the top Last Updated 3.25.26  \n\n| ● How is the derivative connected to motion and change? |  |\n| --- | --- |\n| Enduring Understandings:\u003Cbr>● Derivatives measure instantaneous rate of change.\u003Cbr>● The derivative links graphical, numerical, and algebraic models. |  |\n| “I can” statement with standards alignment:\u003Cbr>● I can define a derivative using limits.\u003Cbr>● I can interpret derivatives in real-world","cbCairWpRr10WsNd","https://ap.wps.com/l/cbCairWpRr10WsNd","pdf",287499,"English","# Unit 1: Limits & Continuity\n## Broad Goals of the Unit\n## Essential Questions\n## Enduring Understandings\n## “I can” Statement and Standards Alignment\n## Assessment Evidence\n## Learning Plan\n# Unit 2: Derivatives: Definition & Interpretation\n## Broad Goals of the Unit\n## Essential Questions\n## Enduring Understandings\n## “I can” Statement and Standards Alignment\n## Assessment Evidence\n## Learning Plan","[{\"question\":\"What prerequisite is listed for AP Calculus A/B?\",\"answer\":\"Precalculus Honors or AP Precalculus is listed as the prerequisite for the course.\"},{\"question\":\"How are limits and continuity addressed in Unit 1?\",\"answer\":\"Unit 1 focuses on developing conceptual understanding of limits as the foundation of calculus, including essential questions about describing behavior near a point and identifying when functions are continuous, supported by multiple representations.\"},{\"question\":\"What kinds of assessments are included for the units?\",\"answer\":\"Each unit includes formative assessment evidence (such as limit tables, graph analysis, exit tickets, and graph-based derivative tasks) and summative assessment evidence using AP-style multiple choice and free response or unit assessments.\"}]","AP Calculus A/B - Math Course Scope and Sequence and Unit Plans | PDF",1789894634,18]