![]() ![]() Unit 3 – Exponential, Logistic, and Logarithmic Functions This unit discusses linear, quadratics, power, polynomial, long division, synthetic division, remainder and factor theorems, rational zeros, complex numbers and zeros, the fundamental theorem of algebra, rational functions and equations, inequalities, and interval notation. Also presented are a function tool kit, piecewise defined functions, combining functions, composition, implicitly and parametrically defined, inverse functions, translations, dilations, modeling, and sequences. This unit covers definition, domain, range, continuity, increasing, decreasing, symmetry, asymptotes, end behavior, and extrema. This course was developed by the International Academy of Science. Students also have a basic fundamental understanding of the concept of the limit, tangent lines, and finding the area underneath a curve – all in preparation for continued studies in Calculus.Īcellus Pre-Calculus is taught by award-winning Acellus Master Teacher, Patrick Mara.Īcellus Pre-Calculus is A-G Approved through the University of California. Student skills using conic sections are reinforced. Students are familiar with several uses of matrices in solving real-world problems. They learn about polar coordinates and how to express complex numbers in this form. Students learn about vectors and dot products. Their proficiency using the basic trig identities is improved as they continue to solve problems using them. They are familiar with harmonic motion and know how to use it to solve real-world problems. Students have gained confidence working with graphs of trig functions and translating them. Trig skills have been reinforced as students use the trig functions to find unknown sides and angles of right triangles. Students attain a deeper understanding of complex numbers and what they mean. They will be familiar with linear, quadratic, power, polynomial, rational, exponential, logistic, and logarithmic functions. ![]() They know that functions can be used to model real-world situations. Students will review various functions – equations and graphs – and transformations thereof. Students should successfully complete Algebra II and Trigonometry before taking this course. Recommended for students planning to pursue a college career path, especially for those planning a career in STEM fields of study. It covers the foundational skills needed for success in Calculus. The course topics includes the following topics: measurement, motion in one direction, vectors, motion in two and three dimensions, forces and Laws of Motion, work and energy, momentum and collisions circular motion and gravitation, fluid mechanics, heat, sound, light and reflection, and refraction.Acellus Pre-Calculus, a full year course, is recommended for high school students seeking a high school diploma having a strong aptitude for math. This course is ideal for a student who will take on either AP Physics or Honors Physics in the upcoming school year. Students will learn the Law of Sines and Cosines and their applications. Students will learn trigonometric functions and how to apply them to solve real-life problems, and will explore a number of topics from trigonometry including: triangle properties, radians, identities, solving complex equations, inverse functions, vectors, and the polar coordinate system. This course covers topics required for pre-calculus, such as Trigonometry. TrigonometryĪn Honors Precalc Bridge Course: This is an ideal course for any high school student who will take Honors Precalculus or regular Precalculus in the upcoming school year. The course topics include structure and bonding, intermolecular forces, chemical reactions, and chemical equilibrium. ![]() This is an ideal course for a student who will take on either AP Chemistry or Honors Chemistry in the upcoming school year. This course is designed to equip students with strong foundation in Chemistry to understand college level chemistry. The curriculum focuses on essential topics including reasoning and proof, properties of triangles, quadrilaterals, parallel and perpendicular lines, circles, polygons, indirect proofs, congruence, similarity, right triangles, trigonometry, and three-dimensional shapes. ![]() This course is ideal for all High School students who will take either Honors or CP Geometry in Fall. They will apply their knowledge to model and to solve real-world applications. Students will graph functions, combine functions, interpret roots and find the maxima and minima of functions. Students will be introduced to functions that are the focus of pre-calculus including: linear, polynomial, rational, logarithmic, and exponential functions. Advanced Algebra – An Honors Precalc and Honors Algebra Bridge Course ![]()
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