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Common Core: Math
CCLS  Math: F.LE.4
 Category
 Linear, Quadratic, And Exponential Models★
 SubCategory
 Construct And Compare Linear, Quadratic, And Exponential Models And Solve Problems
 State Standard:
 For exponential models, express as a logarithm the solution to abct =dwherea,c,anddarenumbersandthebasebis2,10,ore; evaluate the logarithm using technology.
16 Results

 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 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)...

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

 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 use logarithm tables to calculate products and quotients of multidigit numbers without technology. Students understand that logarithms were developed to speed up arithmetic...

 Student Outcomes Students solve simple logarithmic equations using the definition of logarithm and logarithmic properties.

 Student Outcomes Students understand how to change logarithms from one base to another. Students calculate logarithms with any base using a calculator that computes only logarithms base 10 and base e...

 Student Outcomes Students justify properties of logarithms using the definition and properties already developed.

 Student Outcomes Students construct a table of logarithms base 10 and observe patterns that indicate properties of logarithms.

 Student Outcomes Students construct a table of logarithms base 10 and observe patterns that indicate properties of logarithms.

 Student Outcomes Students calculate a simple logarithm using the definition.

 Student Outcomes Students solve simple exponential equations numerically.

 At the beginning of Topic B, students apply the properties of exponents to solve exponential equations numerically (FBF.1a) as a way to motivate the need for logarithms, which are first introduced...

 Exponential and Logarithmic Functions In this module, students synthesize and generalize what they have learned about a variety of function families. They extend the domain of exponential functions...