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iRubric: Putting the "Fun" in Functions - Culminating Task rubric

iRubric: Putting the "Fun" in Functions - Culminating Task rubric

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Putting the "Fun" in Functions - Culminating Task 
Your culminating task for Algebra I - Unit 2 - is to create a function booklet that can be used to help other students learn about functions.
Rubric Code: AX3CW8B
Draft
Public Rubric
Subject: Math  
Type: Project  
Grade Levels: 9-12

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This is a portion of the culminating task found in the Frameworks for Algebra I which is published by the Georgia Department of Education.
  Does Not Meet

The product does not meet the requirements.

(N/A)

Approaches

The product meets a portion of the requirements.

(N/A)

Meets

The product meets the requirements.

(N/A)

Proficient

The product exceeds the requirements.

(N/A)

Interpreting Linear Functions

Create a story that would generate a linear function and describe the meaning of key
features (intercepts, intervals where the function is increasing, decreasing, positive, or
negative; end behaviors) of the graph as they relate to the story.

Does Not Meet

The story created can not be modeled by a linear function OR the function characteristics are not identified correctly.
(0 points)
Approaches

The story created can be modeled by a linear function. One or two of the function characteristics are identified incorrectly
(2 points)
Meets

The story created can be modeled by a linear function and all function characteristics are identified correctly, but all are not related to the context of the story.
(4 points)
Proficient

The story created can be modeled by a linear function and all function characteristics are identified and connected to the story. (6 points)


Show the graph of your function and relate the domain to the quantitative relationship it
describes. Describe the rate of change for a linear function or the rate a change over an
interval.

Does Not Meet

None of the following three requirements are met.

(1) The function is graphed correctly. (2) The domain is described in the context of the story. (3) The rate of change is correctly identified. (0 points)
Approaches

One of the following three requirements are met.

(1) The function is graphed correctly. (2) The domain is described in the context of the story. (3) The rate of change is correctly identified. (2 points)
Meets

Two of the following three requirements are met.

(1) The function is graphed correctly. (2) The domain is described in the context of the story. (3) The rate of change is correctly identified. (4 points)
Proficient

The function is graphed correctly and the domain is described in the context of the story. The rate of change is correctly identified. (6 points)
Analyzing Linear Functions

Create one linear function expressed symbolically. Graph the function using technology
(print for booklet or paste on web)

Does Not Meet

The function created is not linear and there is no graph for the function. (0 points)
Approaches

A linear function is created and expressed symbolically, but there is not graph to represent the function. (1 point)
Meets

A linear function is created and expressed symbolically, but the generated graph does not match the function.
(2 points)
Proficient

A linear function is created and expressed symbolically. It is graphed correctly using technology.
(3 points)


Create two different linear functions. Show one algebraically and the other using a verbal
description. Compare the two functions.

Does Not Meet

No functions are created OR functions are created which are not both linear.
(0 points)
Approaches

Two linear functions are created. One is expressed algebraically and the other verbally. No attempt is made to compare the functions or the comparison is incorrect. (1 point)
Meets

Two linear functions are created. One is expressed algebraically and the other verbally. An attempt is made to compare the two functions but does not address all of the characteristics. (2 points)
Proficient

Two linear functions are created. One is expressed algebraically and the other verbally. The two functions are then compared to each other using the characteristic of functions. (3 points)
Constructing and Comparing

Design a word problem that involves two or more linear models. Use a table to illustrate
the relationships described in the models.

Does Not Meet

There is no story created OR the models in the story are not linear. (0 points)
Approaches

A story is created which involves two or more linear models. No tables are created from the equations.
(1 point)
Meets

A story is created which involves two or more linear models. The is a table for only one equation.
(2 points)
Proficient

A story is created which involves two or more linear models. Each is illustrated by using a table. (3 points)


Explain the constant rate per unit interval relative to another for the word problem that
you designed.

Does Not Meet

The constant rates of change are not identified or both are identified, but are incorrect. (0 points)
Approaches

The constant rate of change, or slope, is identified incorrectly for one of the linear models in the story OR the explanation using the context of the story is incorrect for one or more equations. (1 point)
Meets

The constant rate of change, or slope, is correctly identified for all linear models in the story. However, these are not explained using the context of the story. (2 points)
Proficient

The constant rate of change, or slope, is correctly identified for all linear models in the story. These are also explained using the context of the story. (3 points)


Construct the graphs for each model in the word problem that you designed.

Does Not Meet

None of the equations are graphed. (0 points)
Approaches

An attempt is made to graph the equations, but none are graphed correctly. (1 point)
Meets

All equations are graphed, but one is graphed incorrectly. (2 points)
Proficient

All equations are graphed correctly. (3 points)


Compare the linear models from your word problem. Interpret the parameters.

Does Not Meet

No description is given to compare the linear models or it is an incorrect comparison. (0 points)
Approaches

A description is given which correctly compares the linear models but no parameters are mentioned. (1 point)
Meets

A description is given which correctly compares the linear models but all parameters are not given or correctly interpreted.
(2 points)
Proficient

A description is given which correctly compares the linear models and all parameters are correctly interpreted. (3 points)




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