help develop functions; connect this standard to F.LE.4. i.e. use inverses to show the connection Topic #1. between exponential and logarithmic functions. 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). (supporting) (cross-cutting) bct = d a, c, d F.LE.4 For exponential models, express as a logarithm the solution to a where and are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. (supporting) Note: Consider extending this unit to include the relationship between properties of logarithms and properties of exponents, such as the connection between the properties of exponents and the basic logarithm property that log xy = log x +log y. F.LE.5 Interpret the parameters in a linear or exponential function in terms of a context. (additional) (cross-cutting) Note: Limit exponential functions to those of the form f(x) = bx + k. Algebra II Unit 3: Modeling with Functions Topic #2 Arithmetic and Geometric Sequences
help develop Topic #1. functions; connect this standard to F.LE.4. i.e. use inverses to show the connection between exponential and logarithmic functions. 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). (supporting) (cross-cutting) F.LE.4 For exponential models, express as a logarithm the solution to a bct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. (supporting) Note: Consider extending this unit to include the relationship between properties of logarithms and properties of exponents, such as the connection between the properties of exponents and the basic logarithm property that log xy = log x +log y. F.LE.5 Interpret the parameters in a linear or exponential function in terms of a context. (additional) (cross-cutting) Note: Limit exponential functions to those of the form f(x) = bx + k. Algebra II Unit 3: Modeling with Functions Topic #2 Arithmetic and Geometric Sequences
A2_UP_U3_Modeling_w_Functions.docx