St. Johns County School District
Please Note:All standards are designed to be learned by the end of the course. This guide represents a recommended time line and sequence to be used voluntarily by teachers for planning purposes.? Specific questions regarding when content will actually be addressed in a specific course are best answered by the individual teacher. Teachers may use a wide variety of instructional materials throughout their course. The Possible Resources listed may include the district adopted instructional resource or supplemental resources that align to the topic and/or standard. These Possible Resources provide sample problems that align to the topic/standard.Primary Course Resource:College BoardCourse Supplemental Resources – by standard and Topic:Study Island Login: 55s(student #) Password: first initial first name + first initial last name + mmddyyyy of birth For All Topics – Help Materials and Online TutorialsFor All Topics – AP Calculus AB Help (Varsity Tutors)For All Topics – AP Calculus Notes and Videos ()For All Topics – Online Tutorials Exam Practice:AP Calculus AB Sample QuestionsThe AP Calculus AB Exam - AP CentralMcGraw-Hill AP Test Prep for AP Calculus ABAP Calculus Questions with Answers (Practice)Guide for AP Calculus AB-BC - LearneratorAP Calculus Practice Question – Khan AcademyQuarter 1Aug 10 – Oct 16(49 days)WeekMajor Concepts / TopicsPossible Resources1Chapter P – Preparation for Calculus, Lesson 3 – Functions and Their Graphs and Lesson 1.2 – Finding Limits Graphically and Numerically2Lesson 1.3 – Evaluating Limits Analytically, Quiz, Lesson 1.4 – Continuity and One-Sided Limits3Lesson 1.4 – Continuity and One-Sided Limits, Lesson 1.5 – Infinite Limits and Quiz4Test Chapter 1 and Lesson 2.1 – The Derivative and the Tangent Line Problem5Lesson 2.2 – Basic Differentiation Rules and Rates of Change and Lesson 2.3 – Product and Quotient Rules and Higher-Order Derivatives6Lesson 2.3 – Product and Quotient Rules and Higher-Order Derivatives, Quiz and Lesson 2.4 – The Chain Rule7Lesson 2.4 – The Chain Rule, Lesson 2.5 – Implicit Differentiation, Quiz and Test Lessons 2.1 – 2.58Lesson 2.6 – Related Rates and Project9Quiz, Lesson 3.1 – Extrema on an Interval and Lesson 3.2 – Rolle’s Theorem and the Mean Value Theorem10Lesson 3.2 – Rolle’s Theorem and the Mean Value Theorem, Quiz and Lesson 3.3 – Increasing and Decreasing Functions and the First Derivative TestQuarter 2Oct 19 – Dec 18(41 days)WeekMajor Concepts / TopicsPossible Resources1Lesson 3.4 – Concavity and the Second Derivative Test and Lesson 3.5 – Limits at Infinity2Lesson 3.5 – Limits at Infinity, Lesson 3.6 – A Summary of Curve Sketching, Quiz and Test Lessons 3.1 – 3.63Lesson 3.7 – Optimization Problems and Project4Lesson 3.7 – Optimization Problems, Project, Lesson 3.9 – Differentials and Lesson 4.1 – Antiderivatives and Indefinite Integration5Lesson 4.1 – Antiderivatives and Indefinite Integration and Lesson 4.2 – Area 6Thanksgiving Packet7Lesson 4.3 – Riemann Sums and Definite Integrals and Lesson 4.4 – The Fundamental Theorem of Calculus8Lesson 4.4 – The Fundamental Theorem of Calculus, Test Lessons 4.1 – 4.4 and Holiday Packet9Holiday Packet and ExamsQuarter 3Jan 5 – Mar 18(48 days)WeekMajor Concepts / TopicsPossible Resources1Lesson 4.5 – Integration by Substitution2Lesson 4.5 – Integration by Substitution, Lesson 4.6 – Numerical Integration, Test Lessons 4.5 – 4.6 and Lesson 5.1 – The Natural Logarithmic Function: Differentiation3Lesson 5.1 – The Natural Logarithmic Function: Differentiation, Lesson 5.2 – The Natural Logarithmic Function: Integration and Lesson 5.3 – Inverse Functions4Lesson 5.3 – Inverse Functions, Quiz and Lesson 5.4 – Exponential Functions: Differentiation and Integration5Lesson 5.4 – Exponential Functions: Differentiation and Integration and Lesson 5.5 – Bases Other Than e and Applications6Lesson 5.5 – Bases Other Than e and Applications, Quiz, Test Lessons 5.1 – 5.5 and Lesson 5.6 – Inverse Trigonometric Function: Differentiation7Lesson 5.6 – Inverse Trigonometric Function: Differentiation and Lesson 5.7 – Inverse Trigonometric Functions: Integration8Quiz, Lesson 6.1 – Slope Fields and Euler’s Method and Lesson 6.2 – Differential Equations: Growth and Decay9Lesson 6.2 – Differential Equations: Growth and Decay, Lesson 7.1 – Area of a Region Between Two Curves and Lesson 7.2 – Volume: The Disk Method10Lesson 7.2 – Volume: The Disk Method and FRQ – Differential Equation11Spring Break PacketQuarter 4Mar 29 – May 26(42 days)WeekMajor Concepts / TopicsPossible Resources1Test and Exam Prep2Exam Prep3Exam Prep4Exam Prep5Exam Prep6AP Exam – Thursday, May 5, 20167Projects8Projects9Exams ................
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