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Common Core: Math
Grades: Grade 11
20 Results

 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...

 In Topic A, students both review what they already know about exponential expressions and functions with integer exponents, and extend the meaning of an exponential expression to allow for first...

 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...

 Student Outcomes Students solve simple exponential equations numerically.

 Student Outcomes Students calculate a simple logarithm using the definition.

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

 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...

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

 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.

 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 gather experimental data and determine which type of function is best to model the data. Students use properties of exponents to interpret expressions for exponential...

 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 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 knowledge of exponential and logarithmic functions and transformations of functions to a contextual situation.

 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...

 Student Outcomes Students will compare payment strategies for a decreasing credit card balance. Students will apply the sum of a finite geometric series formula to a decreasing balance on a credit...