![]() They investigate velocity and acceleration and how they are calculated. ![]() In this unit students study the chain rule and practice using it. They practice using the calculator to find numerical derivatives, predict derivatives graphically, and predict and identify graphs of derivatives. They explore differentiability and derivatives of trig functions, and practice product and quotient rules. They further explore derivatives of sums and differences and then go on to learn the product and quotient rules.Ĭontinuing their study of derivatives, students investigate tangent and normal lines, as well as local linearization. They examine general derivatives - derivatives of constant functions, linear functions, and power functions. Students analyze average versus instantaneous velocity and tangent lines to y = x² and to y = 1/x. They consider the intermediate value theorem and types of discontinuity. They investigate the computation of limits, indeterminate forms, limits to infinity, and one-sided limits. Limits are the next topic students explore. They study radical, rational, inverse, logarithmic, and exponential functions. They study graphing and transforming trig functions. They explore power functions and consider the definition of basic trig functions. In this unit students discuss translating and dilating parent functions. Scope and Sequence Unit 1 – Pre-Calculus Review This course was developed by the International Academy of Science. They also know how to use separable differential equations and are familiar with slope fields. Students know how to use integration to solve various real-world problems including work problems and problems based upon liquid pressure and fluid force. They know how to use integration to calculate volumes of solids of revolution and surface area. Students are familiar with various integration techniques, including the chain rule, u-substitution, integration by parts, trig substitution, and partial fractions. Students know how to approximate the area under curves using numerical methods and how to calculate the exact area using integration. They are familiar with using derivatives in real world situations. They know how to use Calculus to analyze various functions and sketch graphs based on their derivatives. They know how to differentiate functions and use various differentiation rules including the combination rules and the chain rule. Students successfully completing AP Calculus AB know what limits are and how to compute them. Acellus AP Calculus AB is also A-G approved through the University of California.Ĭourse Objectives & Student Learning Outcomes Students completing this course will be well-prepared for the AP Calculus AB Exam, enabling them to earn college credit for taking this course while yet in high school. This course has been audited and approved by the College Board. Acellus AP Calculus AB is taught by veteran AP Calculus teacher, Patrick Mara. Students gain an understanding of differential and integral Calculus and how they are used to solve real-world problems.īesides learning how to use the basic tools of Calculus, students completing this course learn on a deeper level what they are really doing and why it works. And research indicates that students who score a three or higher on an AP Exam experience more tremendous academic success in college and are more liable to earn a college degree than non-AP students.Acellus AP Calculus AB provides students with an understanding of the advanced concepts covered in the first semester of a college Calculus course. Taking AP courses manifests to college admissions officers that students have solicited the most meticulous curriculum available to them. Through AP courses, students learn to think critically, construct solid arguments, and see many sides of an issue-skills that prepare them for college and beyond. and Canada award credit for advanced coursework taken in high school, allowing students to skip introductory courses in a given subject and save time and money. AP Calculus BC covers all AP Calculus AB topics plus additional topics (including more advanced integration techniques such as integration by parts, Taylor series, parametric equations, vector calculus, polar coordinate functions, and curve interpolations). ![]() AP Calculus AB covers basic introductions to limits, derivatives, and integrals. Advanced Placement Calculus (also known as AP Calculus, AP Calc, or simply AB / BC) is a set of two distinct Advanced Placement calculus courses and exams offered by the American nonprofit organization College Board.
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