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Common Core: Standard
Common Core: ELA
Common Core: Math
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 Student Outcome Students compose functions and describe the domain and range of the compositions.

 In Topic C students study inverse functions, being careful to understand when inverse functions do and do not exist, working to restrict the domain of a function to produce an invertible function. ...

 In Topic B, students explore composition of functions in depth and notice that a composition of a polynomial function with the function f(x) = 1/x gives functions that can be written as ratios of...

 Student Outcomes Students read the inverse values of a function from a table and graph. They create the inverse of a function by solving an equation of the form f(x) = y. They understand the...

 Student Outcomes Students continue to read the inverse values of a function from a table and graph. They create the inverse of a function by solving an equation of the form f(x) = y. Students verify...

 Student Outcomes In order to demonstrate understanding of the inverse relationship between exponents and logarithms, students construct the inverse of exponential and logarithmic functions from a...

 Student Outcomes Students understand the inverse relationship between logarithms and exponents and apply their understanding to solve realworld problems.

 Student Outcomes Students apply knowledge of exponential and logarithmic functions and transformations of functions to a contextual situation.

 Student Outcomes Students create exponential functions to model realworld situations. Students use logarithms to solve equations of the form f(t) = a ∙ bct for t. Students decide which type of model...

 Student Outcomes Students analyze data and realworld situations and find a function to use as a model. Students study properties of linear, quadratic, sinusoidal, and exponential functions.

 Student Outcomes Students use geometric sequences to model situations of exponential growth and decay. Students write geometric sequences explicitly and recursively and translate between the two...

 Student Outcomes Students use the sum of a finite geometric series formula to develop a formula to calculate a payment plan for a car loan and use that calculation to derive the present value of an...

 Student Outcomes Students develop a general growth/decay rate formula in the context of compound interest. Students compute future values of investments with continually compounding interest rates.

 Student Outcomes Students apply properties of logarithms to solve exponential equations. Students relate solutions to f(x) = g(x) to the intersection point(s) on the graphs of y = f(x) and y = g(x)...

 Student Outcomes Students study transformations of the graphs of logarithmic functions. Students use the properties of logarithms and exponents to produce equivalent forms of exponential and...

 Student Outcomes Students will understand that the logarithm function base b and the exponential function base b are inverse functions.

 Topic E is a culminating series of lessons driven by MP.4, Modeling with Mathematics. Students apply what they have learned about mathematical models and exponential growth to financial literacy...

 Topic D opens with a handson simulation and modeling activity in which students gather data and apply the analysis of Lesson 22 in Topic C to model it with an exponential function (ACED.2, FLE.5...

 Student Outcomes Students use geometric series to calculate how much money should be saved each month to have 1 million in assets within a specified amount of time.

 Student Outcomes Students derive the sum of a finite geometric series formula. Students apply the sum of a finite geometric series formula to a structured savings plan.

 Student Outcomes Students approximate the value of quantities that involve positive irrational exponents. Students extend the domain of the function f(x) =bx for positive real numbers b to all real...

 Student Outcomes Students use linear, quadratic, and exponential functions to model data from tables, and choose the regression most appropriate to a given context. They use the correlation...

 In Topic C, students graph logarithmic functions, identifying key features (FIF.4, FIF.7) and discover how the logarithmic properties are evidenced in the graphs of corresponding logarithmic...

 Student Outcomes Students model functions described verbally in a given context using graphs, tables, or algebraic representations.