## Overview

This class involves being creative with mathematics and realizing your creativity by creating pen plotter art. There will be three main projects throughout the semester and a final portfolio for you to assemble, discuss, and display your artwork in a group setting.

The work that you submit for each project will be only one piece of art. However, as you work on your submission, you will be creating other pieces which serve as practice pieces or which explore other possible avenues that could have led to a submission. **It is important to keep these unsubmitted works too.** They will help you explain your process and your **intentionality** in the essay that is part of each project.

As a rule of thumb, make sure that you keep **3**–**5 additional pieces of art** from each project. You will include these artworks in the final portfolio you create at the end of the semester. Furthermore, looking at all your artwork together will help you discuss your artistic evolution throughout the semester.

The first project is to create a drawing based on a family of related functions.

## Specifications

**The final product of this project will consist of:**

- A Desmos notebook, and
- A pen plotter drawing,
- A one-to-two-page lab report.

**The Desmos notebook must:**

- Include the graphs of one or more functions.
- Apply mathematical transformations to each function, involving one or more parameters.
- Use lists to specify the values of each parameter.

**The pen plotter drawing must:**

- Be generated from your Desmos notebook.
- Not include grid lines or coordinate axes.
- Be drawn using an AxiDraw plotter.

**The one-to-two-page lab report must:**

- Provide key details about your artwork, the choices you made during its conception, the process from idea to final result, the mathematics behind the drawing, a reflection about how you stretched your knowledge, and the revision process. See below for more details about what will be evaluated.
- Be written in a clear and organized manner, using full sentences and proper English.
- Use 1 inch margins, 1.5x spacing, and 11-point Times New Roman font. (Your report will be approximately 700-1000 words.)
**Include a separate cover page**with the title of your artwork, your name, and the date.

(*This page does not count toward your one-to-two pages.*)

## Timeline

**Gain Expertise by Thursday, February 9:**By this day, you should have gained expertise with all the skills necessary to complete the project. This includes understanding function transformations, using Desmos to graph functions, incorporating function parameters and sliders into your Desmos graph, creating lists in Desmos, and incorporating lists into your parameters to create multiple transformed copies of your function.

**Explore Possibilities by Thursday, February 16:**By this day you should be exploring different properties that your artwork might have. Smooth? Angular? Linear? Periodic? Regular? Irregular? Intersecting? Asymptotic? Will you focus on the Negative space? Positive space? Save at least three different compositions and bring them to class to discuss.

**Project Due on Tuesday, February 28:**By this date, you are expected to have completed your project including the lab report. You will complete a peer review activity with classmates on this day.

**Project Revision Submitted on Thursday, March 2:**By this day, turn in your project before class through the links provided on our Course Content page. Make sure to save and keep track of three to five other pieces to add to your final portfolio later in the semester. (Put them in a location that you can find easily later.)

## Grading

This project represents 15% of your semester grade. You will be graded on each of the following standards.

- Engagement:
- Did you make steady progress on your project from start to finish, respecting project deadlines?
- Did you regularly attend the in-class work days, discuss your progress with classmates, and check in with the professor?
- Did you turn in your final project by the deadline?
- Intentionality:
- Were the graph(s) in the artwork chosen intentionally?
- Are the translations placed in a deliberate way?
- Does the final piece have a consistent feel that matches with the artistic terms cited in the lab report?
- It is clear that the final piece of art has been honed over multiple iterations?
- Desmos Notebook Content:
- Did you use the techniques from class to create one or more graphs of functions or pieces of graphs of functions?
- Did you use translations to move the graphs functions up, down, right or left?
- Did you use a list to generate multiple translates of graphs?
- Desmos Notebook Style:
- Is the Desmos notebook well organized, with related parts grouped together
**into folders**, with**text cells**to explain what each part is, and presented in a logical order? - Process Discussion
- Have you explained your artistic process?
- Have you conveyed how your piece changed over time?
- Did you share your experience in using the AxiDraw machine and the Makerspace?
- Did you share difficulties or successes you had along the way?
- Have you explained how the peer review process impacted your final piece?
- Technical Discussion
- Have you explained how you arrived at the function(s) that forms the basis for your work?
- Have you explained how you determined which transformations you applied to your functions?
- Have you explained the programming methods (using sliders, lists, colors) in Desmos that you applied?
- Do you use mathematical terms (like translation) to explain the artwork? Are you using these technical terms correctly?
- Artistic Discussion
- Have you explained the artistic qualities you were going for in this piece?
- Do you use the artistic terms (like negative space) to explain the artwork? Are you using these technical terms correctly?
- Have you explained how you arrived at the artistic qualities in the piece by applying mathematical and programming ideas?
- Writing style and format:
- Does your artwork have a title?
- Did you use full sentences, use proper English, and do your paragraphs flow well?
- Did you follow the writing format requirements?
- Did you include a separate cover page with the title of your artwork, your name, and the date?

You will be assigned a score for each criterion on an E-M-R-N scale as follows.

First I ask myself:

**If it does,** then depending on how complete and clearly communicated your work is, you will receive one of the following scores:

Exemplary | The work meets or exceeds the expectations of the assignment. Communication is clear and complete. Mastery of the concepts is evident. There are no non-trivial errors in understanding. | |

Meets Expectations | Understanding of the concepts is evident through correct work and clear, audience-appropriate explanations. Some revision or expansion is needed, but no significant gaps or errors are present. |

**If it does not,** then you have not demonstrated understanding of the concept. In this case, I will determine if you show partial understanding, and you will receive one of the following scores:

Revision Needed | Partial understanding of the material is evident, but there are significant gaps that remain. Needs further work, more review, and/or improved explanations. | |

Not Assessable | Not enough information is present in the work to determine if there is understanding of the concepts. Work is fragmentary or contains significant omissions. Or, there are too many issues to justify correcting each one. |

Your final project grade will be based on the number of scores at each level as follows.

A (95+) Earn a score of M or higher on all standards and a score of E on at least five standards. B (85) Earn a score of M or higher on all standards and a score of E on at least three standards. C (75) Earn a score of M or higher on six standards and no N scores. D (65) Earn a score of M or higher on five standards and at most one N score. F (50–) Have fewer than five E or M scores OR earn two or more N scores.

The second project is to create a drawing that uses advanced mathematical and AxiDraw techniques.

## Specifications

**The final product of this project will consist of:**

- A Desmos notebook, and
- A pen plotter drawing,
- A 1.5-to-2-page lab report.

**The Desmos notebook must:**

- Include the graphs of one or more functions.
apply advanced mathematical techniques. Use at least one of the following:*Intentionally*- Apply multiple transformations to the same function
- Combine multiple functions into one function
- ★ Customize Polar Functions
- ★ Apply transformations to Polar Functions
- ★ Incorporate randomness into the placement of the curves
- Be organized into folders.
- Include text cells that explain the intentionality behind each function cell.

(Note 2: Students who have taken Math 200 or above are expected to use a starred ★ technique.)

(Exceptions will be considered; discuss directly with Prof. Hanusa.)

**The pen plotter drawing must:**

- Be generated from your Desmos notebook and drawn using an AxiDraw plotter.
use advanced AxiDraw techniques. This can be one or more of the following:*Intentionally*- Use a more advanced type of pen.
- Use multiple colors of pen on the same drawing.
- Use multiple line thicknesses on the same drawing.
- Use multiple types of pen on the same drawing.
- Use a special type of paper.
- Assemble multiple pieces of paper into a collage.
- Draw on a surface that is not a piece of paper.
- Be generated multiple times. Submit two (2) copies of the same artwork.

(Note 2: If you have an artistic background, aim higher.)

**The 1.5-to-2-page lab report must:**

- Provide key details about your artwork, the choices you made during its conception, the process from idea to final result, the mathematics behind the drawing, a reflection about how you stretched your knowledge, and the revision process. See below for more details about what will be evaluated.
- Be written in a clear and organized manner, using full sentences and proper English.
- Use 1 inch margins, 1.5x spacing, and 11-point Times New Roman font. There should be no extra space between paragraphs. (Your report will be approximately 900-1100 words.)
**Include a separate cover page**with the title of your artwork, your name, and the date.

(*This page does not count toward your one-to-two pages. This information should not be repeated on the other pages of the report.*)

## Timeline

**Gain Expertise by Tuesday, March 14:**By this day, you should have gained expertise with all the skills necessary to complete the project. This includes understanding dilations, combining multiple functions, polar functions, and polar transformations.

**Explore Possibilities by Tuesday, March 21:**By this day you should have a conceptual goal for your artwork. How will you be pushing yourself mathematically? How will you be pushing yourself artistically? How will you be pushing yourself on the AxiDraw? Bring your ideas to class to discuss.

**Project Due on Tuesday, March 28:**By this date, you are expected to have completed your project including the lab report. You will complete a peer review activity with classmates on this day.

**Project Revision Submitted on Tuesday, April 4:**By this day, turn in your project before class through the links provided on our Course Content page. Make sure to save and keep track of three to five other pieces to add to your final portfolio later in the semester. (Put them in a location that you can find easily later.)

## Grading

This project represents 20% of your semester grade. You will be graded on each of the following standards.

- Engagement:
- Did you make steady progress on your project from start to finish, respecting project deadlines?
- Did you regularly attend the in-class work days, discuss your progress with classmates, and check in with the professor?
- Did you turn in your final project by the deadline?
- Mathematics Intentionality:
- Did you push yourself mathematically?
- Did you use more advanced mathematical techniques than in Project 1?
- Did you acheive your mathematical goals in an intentional way?
- Artistic Intentionality:
- Did you push yourself artistically?
- Is there a discernible aesthetic in the final piece?
- Does the aesthetic match the technical artistic language used in the lab report?
- It is clear that the final piece of art has been honed over multiple iterations?
- AxiDraw Intentionality:
- Did you push yourself with your AxiDraw skills?
- Did you use more advanced AxiDraw techniques than in Project 1?
- Did you choose your materials thoughtfully?
- Desmos Notebook:
- Is the Desmos notebook well organized, with related parts grouped together
**into folders**? - Are the functions and folders presented in a logical order?
- Did you preface every
**function cell**with a**text cell**to explain what its role is? - Context Discussion
- Did you discuss your inspiration and goals for the piece?
- Did you convey how your piece changed over time?
- Did you share difficulties or successes you had along the way?
- Have you explained how the peer review process impacted your final piece?
- Did you explain what you would want to explore further if you had the time?
- Mathematical Discussion
- Did you discuss the mathematics that you involved in your piece?
- Have you explained how you arrived at the function(s) that forms the basis for your work?
- Do you use mathematical terms (like translation) to explain the artwork? Are you using these technical terms correctly?
- Did you explain how you have pushed yourself mathematically above and beyond your work in Project 1?
- Artistic Discussion
- Have you explained the artistic qualities you were going for in this piece?
- Do you use the artistic terms (like negative space) to explain the artwork? Are you using these technical terms correctly?
- Have you explained how you arrived at the artistic qualities in the piece by applying mathematical and programming ideas?
- Did you explain how you have pushed yourself artistically above and beyond your work in Project 1?
- AxiDraw Discussion
- Did you share your experience in using the AxiDraw machine and the Makerspace?
- Did you discuss the choices you made about the pens and paper in the piece?
- Did you discuss the pros and cons of the choices you made?
- Did you explain how the choice of materials impacted how you worked with the AxiDraw machine?
- Writing style and format:
- Does your artwork have a title?
- Did you use full sentences, use proper English, and do your paragraphs flow well?
- Did you follow the writing format requirements?
- Did you include a separate cover page with the title of your artwork, your name, and the date and not include this information any other page?

You will be assigned a score for each criterion on an E-M-R-N scale as follows.

First I ask myself:

**If it does,** then depending on how complete and clearly communicated your work is, you will receive one of the following scores:

Exemplary | The work meets or exceeds the expectations of the assignment. Communication is clear and complete. Mastery of the concepts is evident. There are no non-trivial errors in understanding. | |

Meets Expectations | Understanding of the concepts is evident through correct work and clear, audience-appropriate explanations. Some revision or expansion is needed, but no significant gaps or errors are present. |

**If it does not,** then you have not demonstrated understanding of the concept. In this case, I will determine if you show partial understanding, and you will receive one of the following scores:

Revision Needed | Partial understanding of the material is evident, but there are significant gaps that remain. Needs further work, more review, and/or improved explanations. | |

Not Assessable | Not enough information is present in the work to determine if there is understanding of the concepts. Work is fragmentary or contains significant omissions. Or, there are too many issues to justify correcting each one. |

Your final project grade will be based on the number of scores at each level as follows.

A (95+) Earn a score of M or higher on all standards and a score of E on at least eight standards. B (85) Earn a score of M or higher on all standards and a score of E on at least five standards. C (75) Earn a score of M or higher on eight standards and no N scores. D (65) Earn a score of M or higher on seven standards and at most one N score. F (50–) Have fewer than seven E or M scores OR earn two or more N scores.