Unit 2 11 days HSA-CED.2 PARCC Style Type I Algebraic and graphic models are How do you model inverse Exponential HSF-BF.B.4a items (multiple choice, used to represent arithmetic relationships algebraically, and HSF-IF.C.7e drag/drop/select all that sequences and geometric graphically, and in tables? Logarithmic HSF-LE.A.1 apply, etc.) and sequences. How are exponential and Functions HSF-LE.A.4 PARCC Style Type Inverse operations are used in logarithmic functions related? HSF-LE.B.5 II/III items (reasoning, solving equations. How do logarithms help solve HSS-ID.B.6a application, modeling Mathematical tools and various exponential equations? free response) representations facilitate working How can two-dimensional with extreme quantities that are graphs and equations be otherwise difficult to manipulate extended to three-dimensional and comprehend. situations? Three-dimensional space can be How can points, lines, curves, represented graphically. and plane be represented in A function can be strategically three-dimensional space? and purposefully modeled using How can systems of equations multiple representations, such as algebraically, graphically, in three variables be applied to verbally, and numerical. find a quadratic equation that passes through three given points? Unit 3 13 days HSF-TF.A.1 PARCC Style Type I A coordinate system uses How does the unit circle enable Trigonometric HSF.TF.A.2 items (multiple choice, specified points to uniquely the extension of trigonometric Functions HSF-BF.B.3 drag/drop/select all that determine the position of a point functions to all real numbers? HSF-TF.B.5 apply, etc.) and in a plane or space. Which trigonometric functions HSF.IF.C.7 PARCC Style Type Modeling is the process of models the given periodic HSF-TF.C.8 II/III items (reasoning, choosing and using appropriate phenomena with the given application, modeling mathematics to analyze empirical amplitude, frequency, and free response) situations, to understand them midline? better, and to improve decisions. How can trigonometric A mathematical identity is an identities be used to rewrite an equation that is true no matter expression or function into a what values are chosen. more convenient form?
Unit 2 Exponential and Logarithmic Functions 11 days HSA-CED.2 HSF-BF.B.4a HSF-IF.C.7e HSF-LE.A.1 HSF-LE.A.4 HSF-LE.B.5 HSS-ID.B.6a Algebraic and graphic models are used to represent arithmetic sequences and geometric sequences. Inverse operations are used in solving equations. Mathematical tools and various representations facilitate working with extreme quantities that are otherwise difficult to manipulate and comprehend. Three-dimensional space can be represented graphically. A function can be strategically and purposefully modeled using multiple representations, such as algebraically, graphically, verbally, and numerical. How do you model inverse relationships algebraically, graphically, and in tables? How are exponential and logarithmic functions related? How do logarithms help solve exponential equations? How can two-dimensional graphs and equations be extended to three-dimensional situations? How can points, lines, curves, and plane be represented in three-dimensional space? How can systems of equations in three variables be applied to find a quadratic equation that passes through three given points? PARCC Style Type I items (multiple choice, drag/drop/select all that apply, etc.) and PARCC Style Type II/III items (reasoning, application, modeling free response) Unit 3 Trigonometric Functions 13 days HSF-TF.A.1 HSF.TF.A.2 HSF-BF.B.3 HSF-TF.B.5 HSF.IF.C.7 HSF-TF.C.8 A coordinate system uses specified points to uniquely determine the position of a point in a plane or space. Modeling is the process of choosing and using appropriate mathematics to analyze empirical situations, to understand them better, and to improve decisions. A mathematical identity is an equation that is true no matter what values are chosen. How does the unit circle enable the extension of trigonometric functions to all real numbers? Which trigonometric functions models the given periodic phenomena with the given amplitude, frequency, and midline? How can trigonometric identities be used to rewrite an expression or function into a more convenient form? PARCC Style Type I items (multiple choice, drag/drop/select all that apply, etc.) and PARCC Style Type II/III items (reasoning, application, modeling free response)