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Common Core: Math
CCLS - Math: F.BF.4
- Building Functions
- Build New Functions From Existing Functions
- State Standard:
- Find inverse functions.
- Student Outcomes Students understand the inverse relationship between logarithms and exponents and apply their understanding to solve real-world problems.
- 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 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 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...
- 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. ...
- Students revisit the fundamental theorem of algebra as they explore complex roots of polynomial functions. They use polynomial identities, the binomial theorem, and Pascal’s Triangle to find roots...
- 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 hands-on 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 (A-CED.2, F-LE.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 (F-IF.4, F-IF.7) and discover how the logarithmic properties are evidenced in the graphs of corresponding logarithmic...
- 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...