Conceptual Category Functions

HS.F.1Understand properties and key features of functions and the different ways functions can be represented. (MP.2, MP.4, MP.7)HS.F.10Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents with the use of technology. (MP.1, MP.7)HS.F.11Distinguish between situations that can be modeled with linear functions and with exponential functions. (MP.3, MP.8)HS.F.12Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table). (MP.7, MP.8)HS.F.13Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. (MP.7, MP.8)HS.F.14Interpret the parameters in a linear or exponential function in terms of a context. (MP.1, MP.2)HS.F.15(+)Understand the relationship of radian measure of an angle to its arc length. (MP.1, MP.6)HS.F.16(+)Understand and use the unit circle. (MP.7, MP.8)HS.F.17(+)Choose trigonometric functions to model periodic phenomena with specified period, midline and amplitude. (MP.4, MP.5, MP.6)HS.F.18(+)Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed. (MP.2, MP.3)HS.F.19(+)Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology and interpret them in terms of the context. (MP.4, MP.5)HS.F.2Recognize that arithmetic and geometric sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. (MP.7, MP.8)HS.F.20(+)Proving identities and formulas within the context of trigonometry. (MP.3, MP.7)HS.F.3Understand average rate of change of a function over an interval. (MP.2, MP.4)HS.F.4Graph functions expressed symbolically and show key features of the graph, with and without using technology (computer, graphing calculator). (MP.4, MP.5)HS.F.5Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. (MP.3, MP.6)HS.F.6Write a function that describes a relationship between two quantities. (MP.4, MP.7)HS.F.7Use arithmetic and geometric sequences to model situations and scenarios. (MP.4, MP.8)HS.F.8Understand the effects of transformations on the graph of a function. (MP.3, MP.5)HS.F.9Find inverse functions. (MP.2, MP.6)
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