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 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...

 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 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 examine sequences and are introduced to the notation used to describe them.

 Student Outcomes Students write sequences with recursive and explicit formulas.

 Student Outcomes Students learn the structure of arithmetic and geometric sequences.

 Student Outcomes Students compare the rate of change for simple and compound interest and recognize situations in which a quantity grows by a constant percent rate per unit interval.

 Student Outcomes Students use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. Students create functions...

 Student Outcomes Students understand that a function from one set (called the domain) to another set (called the range) assigns each element of the domain to exactly one element of the range....

 Student Outcomes Students understand that a function from one set (called the domain) to another set (called the range) assigns each element of the domain to exactly one element of the range and...

 Student Outcomes Students understand set builder notation for the graph of a realvalued function: {(x, f(x))  x ∈ D}. Students learn techniques for graphing functions and relate the domain of a...

 Student Outcomes Students understand the meaning of the graph of y = f(x), namely {(x,y)  x ∈ D and y = f(x)}. Students understand the definitions of when a function is increasing or decreasing.

 Student Outcomes Students create tables and graphs of functions and interpret key features including intercepts, increasing and decreasing intervals, and positive and negative intervals.

 Student Outcomes Students compare linear and exponential models by focusing on how the models change over intervals of equal length. Students observe from tables that a function that grows...

 Student Outcomes Students examine the features of piecewise functions including the absolute value function and step functions. Students understand that the graph of a function f is the graph of the...

 Student Outcomes Students discover that the multistep and exact way of solving 2x  5 = 3x + 1 using algebra can sometimes be avoided by recognizing that an equation of the form f(x) = g(x) can...

 Student Outcomes Students examine that a horizontal translation of the graph of y = f(x) corresponds to changing the equation from y = f(x) to y = f(x  k).

 Student Outcomes Students apply their understanding of transformations of functions and their graphs to piecewise functions.

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

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

 Student Outcomes Students create piecewise and step functions that relate to reallife situations and use those functions to solve problems. Students interpret graphs of piecewise and step functions...

 Student Outcomes Students examine quadratic equations in two variables represented graphically on a coordinate plane and recognize the symmetry of the graph. They explore key features of graphs of...

 Student Outcomes Students use the factored form of a quadratic equation to construct a rough graph, use the graph of a quadratic equation to construct a quadratic equation in factored form, and...

 Student Outcomes Students interpret quadratic functions from graphs and tables: zeros (xintercepts), yintercept, the minimum or maximum value (vertex), the graph’s axis of symmetry, positive and...