Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Also assesses: MAFS.912.SID.3.7
 Assessment Limits :
Items requiring the student to calculate the rate of change will give a
specified interval that is both continuous and differentiable.Items should not require the student to find an equation of a line.
Items assessing SID.3.7 should include data sets. Data sets must
contain at least six data pairs. The linear function given in the item
should be the regression equation.For items assessing SID.3.7, the rate of change and the yintercept
should have a value with at least a hundredths place value.Items assessing FIF.2.6 should not be linear.
 Calculator :
Neutral
 Clarification :
Students will calculate the average rate of change of a continuous
function that is represented algebraically, in a table of values, on a
graph, or as a set of data.Students will interpret the average rate of change of a continuous
function that is represented algebraically, in a table of values, on a
graph, or as a set of data with a realworld context.Students will interpret the yintercept of a linear model that
represents a set of data with a realworld context.  Stimulus Attributes :
Items may require the student to apply the basic modeling cycle.Items should be set in a realworld context.
Items must use function notation.
Items may require the student to choose and interpret variables.
 Response Attributes :
Items may require the student to choose an appropriate level of
accuracy.Items may require the student to choose and interpret the scale in a
graph.Items may require the student to choose and interpret units.
 Test Item #: Sample Item 1
 Question:
The graph shows the number of acres, in millions, of farmland in the United States from 1975 to 2008.
Which statement describes the average rate of change of the graph?
 Difficulty: N/A
 Type: MC: Multiple Choice
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Assessments
Formative Assessments
Lesson Plans
Lesson Study Resource Kit
Original Student Tutorial
Perspectives Video: Expert
ProblemSolving Task
Unit/Lesson Sequences
Video/Audio/Animation
Virtual Manipulatives
MFAS Formative Assessments
Students are given a graph of an exponential function and are asked to calculate and compare the average rate of change over two different intervals of time.
Students are asked to estimate the average rate of change of a nonlinear function over two different intervals given its graph.
Students are asked to calculate and interpret the rate of change of a linear function given its graph.
Students are given a table of functional values in context and are asked to find the average rate of change over a specific interval.
Original Student Tutorials Mathematics  Grades 912
Learn how to calculate and interpret an average rate of change over a specific interval on a graph.
Student Resources
Original Student Tutorial
Learn how to calculate and interpret an average rate of change over a specific interval on a graph.
Type: Original Student Tutorial
ProblemSolving Task
This task asks students to consider functions in regard to temperatures in a high school gym.
Type: ProblemSolving Task
Video/Audio/Animation
"Slope" is a fundamental concept in mathematics. Slope is often defined as " the rise over the run"....but why?
Type: Video/Audio/Animation
Virtual Manipulatives
Allows students access to a Cartesian Coordinate System where linear equations can be graphed and details of the line and the slope can be observed.
Type: Virtual Manipulative
In this online tool, students input a function to create a graph where the constants, coefficients, and exponents can be adjusted by slider bars. This tool allows students to explore graphs of functions and how adjusting the numbers in the function affect the graph. Using tabs at the top of the page you can also access supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.
Type: Virtual Manipulative
This interactive simulation investigates graphing linear and quadratic equations. Users are given the ability to define and change the coefficients and constants in order to observe resulting changes in the graph(s).
Type: Virtual Manipulative
Parent Resources
ProblemSolving Task
This task asks students to consider functions in regard to temperatures in a high school gym.
Type: ProblemSolving Task
Virtual Manipulative
Allows students access to a Cartesian Coordinate System where linear equations can be graphed and details of the line and the slope can be observed.
Type: Virtual Manipulative