F.2.5

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

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Formative Assessments
Formative Assessments
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CPALMS: Students are given a verbal description of the relationship between two quantities and are asked to sketch a graph to model the relationship.

Bacterial Growth Graph

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CPALMS: Students are asked to describe the relationship between two quantities in a nonlinear function.

Population Trend

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CPALMS: Students are given a verbal description of the relationship between two quantities and are asked to sketch a graph to model the relationship.

Graph the Ride

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CPALMS: Students are asked to describe the relationship between two linearly related quantities.

Jet Fuel

Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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CPALMS: 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).

Equation Grapher

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CPALMS: This lesson is designed to introduce students to plotting points and graphing functions in the Cartesian coordinate system. Itprovides links to discussions and activities that transition from functions as rules to the graphs of those functions.

Graphs and Functions

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CPALMS: In this tool, students input a function to create a graph where the constants, coefficients, and exponents can be adjusted by slider bars. It allows them to explore graphs of functions and how adjusting the numbers in the function affect the graph.

Function Flyer

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CPALMS: This resource 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.

Graphing Lines

Assessment Questions
Assessment Questions
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Multiple Choice
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Open Response
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Videos of Expert Instruction
Videos of Expert Instruction
Hook/Performance Tasks
Hook/Performance Tasks
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Illustrative Mathematics: Students are to interpret two distance-time graphs in terms of a bike race. Major aspects: interpreting what a particular point on graph means in context and understand the steepness of graph tells us about how fast bicyclists are moving.

Bike Race

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Illustrative Mathematics:This is a simple task about interpreting the graph of a function in terms of the relationship between quantities that it represents.

Tides

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Illustrative Mathematics: In this task, students interpret two graphs that look the same but show very different quantities. The first graph gives information about how fast a car is moving while the second graph gives information about the position of the car.

Distance

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Illustrative Mathematics: Students are to draw the graphs of 2 functions from verbal descriptions. Both describe same situation but changing viewpoint of observer changes where function has output value zero. This requires careful thought about the dependent variable.

Riding By the Library

Problem Based Lessons
Problem Based Lessons
Test Design Summary Logo
Do you think Joulies will work as advertised? Why or why not?
Joulies
Test Design Summary Logo
Do you think Joulies will work as advertised? Why or why not?
Change Me To Real Text
Test Design Summary Logo
Do you think Joulies will work as advertised? Why or why not?
Change Me To Real Text