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 Algebra I Module 3: Linear and Exponential Functions In earlier grades, students define, evaluate, and compare functions and use them to model relationships between quantities. In this module,...

 Algebra I Module 5: A Synthesis of Modeling with Equations and Functions In Module 5, students synthesize what they have learned during the year about functions to select the correct function type in...

 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...

 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...

 Module 2 builds on students’ previous work with units and with functions from Algebra I, and with trigonometric ratios and circles from high school Geometry. The heart of the module is the study of...

 Algebra II Module 1: Polynomial, Rational, and Radical Relationships Students connect polynomial arithmetic to computations with whole numbers and integers. Students learn that the arithmetic of...

 Algebra I Module 4: Polynomial and Quadratic Expressions, Equations, and Functions In earlier modules, students analyze the process of solving equations and developing fluency in writing,...

 Student Outcomes Students write equations that represent functional relationships and use the equations to compose functions. Students analyze the domains and ranges of functions and function...

 Student Outcomes Students describe the end behavior of rational functions.

 Student Outcomes Students identify vertical and horizontal asymptotes of rational functions.

 Student Outcomes Students graph rational functions showing intercepts, asymptotes, and end behavior.

 Student Outcomes Students graph transformations of functions in the form f(x) = 1/xn.

 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 reduce rational expressions to lowest terms. Students determine the domain of rational functions.

 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 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 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 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...

 Student Outcomes Students interpret addition and multiplication of two irrational numbers in the context of logarithms and find betterandbetter decimal approximations of the sum and product,...

 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 graph the functions f(x) = log(x), g(x) = log2(x), and h(x) = ln(x) by hand and identify key features of the graphs of logarithmic functions.