F.1.MAA

F.1.MAA

F.1.MAA.1Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers [e.g., the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n−1) for n ≥ 1]F.1.MAA.10Use the relation i^2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbersF.1.MAA.11Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbersF.1.MAA.2Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases:F.1.MAA.3Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the functionF.1.MAA.4Compare properties of two functions each represented in a different way: algebraically, graphically, numerically in tables, or by verbal descriptions (e.g., given a graph of one quadratic function and an algebraic expression for another, determine which has the larger maximum)F.1.MAA.5Write a function that describes a relationship between two quantities:F.1.MAA.6Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two formsF.1.MAA.7Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructedF.1.MAA.8Use inverse functions to solve trigonometric equations that arise in modeling contexts, evaluate the solutions using technology, and interpret them in terms of the contextF.1.MAA.9Know there is a complex number i such that i^2 = –1, and every complex number has the form a + bi with a and b real
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