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 Grade 8 Module 5: Examples of Functions from Geometry In the first topic of this 15 day module, students learn the concept of a function and why functions are necessary for describing geometric...

 Grade 8 Module 6: Linear Functions In Grades 6 and 7, students worked with data involving a single variable. Module 6 introduces students to bivariate data. Students are introduced to a function as...

 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...

 Topic A begins to examine the relationship between two variables using linear functions (8.F.B.4). Linear functions are connected to a context, using the initial value and slope as a rate of change...

 In Topic A of Module 5, students learn the concept of a function and why functions are necessary for describing geometric concepts and occurrences in everyday life. The module begins by explaining...

 Student Outcomes Students graph a line specified by a linear function. Students graph a line specified by an initial value and rate of change of a function and construct the linear function by...

 Student Outcomes Students describe qualitatively the functional relationship between two types of quantities by analyzing a graph. Students sketch a graph that exhibits the qualitative features of a...

 Student Outcomes Students qualitatively describe the functional relationship between two types of quantities by analyzing a graph. Students sketch a graph that exhibits the qualitative features of...

 Student Outcomes Students determine a linear function given a verbal description of a linear relationship between two quantities. Students interpret linear functions based on the context of a problem...

 Student Outcomes Students interpret the rate of change and initial value of a line in context. Students interpret slope as rate of change and relate slope to the steepness of a line and the sign of...

 Student Outcomes Students examine and recognize realworld functions, such as the cost of a book, as discrete rates. Students examine and recognize realworld functions, such as the temperature of a...

 Student Outcomes Students know that the definition of a graph of a function is the set of ordered pairs consisting of an input and the corresponding output. Students understand why the graph of a...

 Student Outcomes Students use rate of change to determine if a function is a linear function. Students interpret the equation y = mx + b as defining a linear function, whose graph is a line.

 Student Outcomes Students compare the properties of two functions represented in different ways (e.g., tables, graphs, equations and written descriptions). Students use rate of change to compare...

 Student Outcomes Students examine the average rate of change for nonlinear functions and learn that, unlike linear functions, nonlinear functions do not have a constant rate of change. Students...

 Student Outcomes Students know that a function allows us to make predictions about the distance an object moves in any time interval. Students calculate average speed of a moving object over...

 Student Outcomes Students know that a function assigns to each input exactly one output. Students know that some functions can be expressed by a formula or rule, and when an input is used with the...

 Student Outcomes Students relate constant speed and proportional relationships to linear functions using information from a table. Students know that distance traveled is a function of the time spent...