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.
CALC AB HOW TO
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. See this page for more information.Acellus AP Calculus AB provides students with an understanding of the advanced concepts covered in the first semester of a college Calculus course. Please note: all class times are subject to the availability of each individual instructor.
CALC AB REGISTRATION
Sign up for Calculus AB and other courses Live Online Class Session ScheduleĪdditional class times may be added to the schedule later in the registration period. Watch a sample clip of an Academy live class session. AP Calculus AB is approved for dual credit at Colorado Christian University. This course covers one and a half semesters of college calculus, and the content is similar to what students can expect on the AP exam. Students develop the skills necessary to apply calculus in solving problems, and learn to view calculus as an elegant and yet eminently practical aspect of God’s creation. Students must be able to engage with graphical, numerical, analytical, and verbal representations of calculus concepts and demonstrate connections among them.
The primary focus is on limits, derivatives, integrals, and the fundamental theorem of calculus. Suggested High School Credit Value: 1 credit.ĭescription: AP Calculus AB stresses both conceptual understanding of calculus and fluency in mathematical procedures. Duration: Yearlong course offered in fall/spring (32 weeks).
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