F-LE.2. Construct 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). F-LE.3. Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. F-LE.4. For exponential models, express as a logarithm the solution to = where and abct d a, c, Not applicable. are numbers and the base is 2, 10, or evaluate the logarithm using technology. d b e; CLUSTER: Interpret expressions for functions in terms of the situation they model. Not applicable. Interpret the parameters in a linear or exponential function in terms of a context. F-LE.5. See EE.F-IF.1–3. High School Mathematics Domain: Functions—Trigonometric Functions CCSS Grade-Level Standards DLM Essential Elements CLUSTER: Extend the domain of trigonometric functions using the unit circle. Understand radian measure of an angle as the length of the arc on the unit circle F-TF.1. Not applicable. subtended by the angle. Explain how the unit circle in the coordinate plane enables the extension of F-TF.2. trigonometric functions to all real numbers, interpreted as radian measures of angles traversed Not applicable. counterclockwise around the unit circle. F-TF.3. (+) Use special triangles to determine geometrically the values of sine, cosine, tangent for and and use the unit circle to express the values of since, cosine, and tangent for Not applicable. π/3, π/4, π/6, + and in terms of their values for where is any real number. x, x, x x, x π – π 2π – F-TF.4. (+) Use the unit circle to explain symmetry (odd and even) and periodicity of Not applicable. trigonometric functions. CLUSTER: Model periodic phenomena with trigonometric functions. F-TF.5. Choose trigonometric functions to model periodic phenomena with specified amplitude, Not applicable. frequency, and midline.
F-LE.2. Construct 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). F-LE.3. Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. F-LE.4. For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. Not applicable. CLUSTER: Interpret expressions for functions in terms of the situation they model. F-LE.5. Interpret the parameters in a linear or exponential function in terms of a context. Not applicable. See EE.F-IF.1–3. High School Mathematics Domain: Functions—Trigonometric Functions CCSS Grade-Level Standards DLM Essential Elements CLUSTER: Extend the domain of trigonometric functions using the unit circle. F-TF.1. Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle. Not applicable. F-TF.2. Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle. Not applicable. F-TF.3. (+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4, and π/6, and use the unit circle to express the values of since, cosine, and tangent for π – x, π + x, and 2π – x in terms of their values for x, where x is any real number. Not applicable. F-TF.4. (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions. Not applicable. CLUSTER: Model periodic phenomena with trigonometric functions. F-TF.5. Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. Not applicable.
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