Module 7 Project

 

Module 7 Project: Function Art

 

Towards the end of each lesson, under Project Connection, you are prompted to complete a part of the Module 7 Project. You can access the entire Module 7 Project: Function Art from this page at any time.

 

You will submit your Module 7 Project to your teacher at the end of Module 7. If you are finished working through the lessons, submit your completed Module 7 Project now.

 

Introduction

 

Studies of the brain have shown that those abilities associated with reasoning and computation are a function of the left hemisphere of the brain, while those abilities related to creativity and imagination are a function of the right hemisphere. You may have heard that art is a “right-brain” activity while math is a “left-brain” activity. However, in this project you will see that it is possible for math and art to combine. The result is art that not only appeals to the eye, but is also “mathematically” pleasing.

 

Left Brain	Right Brain
analytic thought logic reasoning science and math (number skills) right-hand control	creativity imagination intuition music awareness left-hand control

 

You will develop your project as you work through the lessons in Module 7. The activities at each stage are summarized in the table.

 

Step	Name	Description
1	Idea Generation	brainstorm; sample gathering
2	Gathering Samples Part 1
3	Gathering Samples Part 2
4	Sketch Piece

 

In the first phase of the project, you will generate ideas about the subject of your artwork. You will gather samples of graphics, drawings, or images that exhibit the properties of the functions you have studied. In the second phase of the project, you will create your own drawing. This drawing can be based on your samples or it can also be entirely original. The subject of your drawing is according to your preference. You may want to focus on an object, abstract art, or a word. You will use an interactive graphing program called Function Art to sketch your art piece.

 

 

In your presentation you must include the following:

• samples of drawings from your research (At least one drawing must show the absolute value function, and at least one must show the reciprocal function.)
  
  
• your own drawing on grid paper, which must include at least
  
  
  • two reciprocal functions
  • two absolute value functions
  • one other function, such as linear or quadratic
    
    
• the equations of the functions that are used, as well as the restricted domain and/or range of each part of the image

Step 1

In this project you will sketch a drawing that is either original or based on other artwork. Search the Internet for ideas of what to draw. You have previously learned about linear functions and quadratic functions. Try to find examples of graphics and images that could be described in part by parabolas or lines. Gather at least two samples and save them in your course folder.

 

Step 2

You have learned about absolute value functions in this lesson. Search the Internet for graphics and images that can be described in part by absolute value functions. Find at least one example of the absolute value of a linear function and the absolute value of a quadratic function.

 

Step 3

Launch the Function Art Tutorial. Work through the tutorial to see how you can use this program to create sophisticated artwork with functions. Be sure to gain a thorough understanding of how this program works so that you can be prepared to apply this program to your own sketch.

 

Step 4

In Lesson 4 you studied reciprocal functions. You are now familiar with the properties of the graphs of reciprocal linear functions and reciprocal quadratic functions. Search the Internet to find at least one example of each.

 

Complete your project by sketching your drawing on graph paper. Your graph must meet the following conditions:

• It must have a minimum of eight curves or line segments.
  
  
• There must be at least
  
  
  • two reciprocal functions
    
  • two absolute value functions
  • one other function, such as linear or quadratic
    
    
• Label the previous five requirements on your sketch.
  
  
• Your design should be centred on the origin with portions of the graph found in all quadrants.

Assessment

 

Your Module 7 Project will be evaluated by your teacher using the following rubric. Read the rubric carefully. Make sure you have completed the requirements for each of the categories.

 

RUBRIC FOR MODULE 7 PROJECT: FUNCTION ART
Score	Samples of Graphics, Diagrams, or Images	Mathematical Concepts: Reciprocal, Absolute Value Functions and Their Corresponding Graphs	Mathematical Calculations	Completion
3 Meets the Standard	Sample graphics, diagrams, or images clearly show the properties of the functions being represented.	A clear justification of how graphic elements were chosen is given.   The explanation of strategies used to match graphic elements with functions is thorough.	Correct functions were used and correct domains were specified.   All calculations are present and complete.	All aspects of the project are completed.
2 Approaches the Standard	Sample graphics, diagrams, or images generally show the properties of the functions being represented.	An incomplete justification of how graphic elements were chosen is given.   An incomplete explanation of the strategies used to match graphic elements with functions is provided.	Correct functions were used; however, there are minor mistakes in the domains specified.   Minor calculations are missing or incomplete.	All but one aspect of the project are completed.
1 Below the Acceptable Standard	Sample graphics, diagrams, or images are generally unconnected to the properties of the functions being represented.	One of the following is not present: justification of choice of graphic elements explanation of strategies used to match graphic elements with functions	Correct functions were used; however, there are major mistakes in the domains specified.     Major calculations are missing.	All but two aspects of the project are completed.
INC Does Not Meet the Minimum Standard	Sample graphics, diagrams, or images are not included or are inappropriate for the project.	Justification of the choice of graphic elements and the strategies used to choose them are not present.	Incorrect functions were used and, as a result, the domains specified were irrelevant. Major calculations are missing.	Several aspects of the project are not completed.
Total Score /	/3	/6	/6	/3

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