Name: ________________________________________
Date: _____________
Geometry- Discovering the Golden Ratio
Unit 4 Transfer Task
Worth: 40 Points
Please choose one of the two following projects to complete.
Option 1:
Take a picture of yourself and create a self-portrait. Limit the photo to your face only. You MUST use the
ratios below to create your self-portrait. You can also include more ratios involving facial features
mentioned in the YouTube video, “Golden Ratio in the Human Body.”
URL: http://www.youtube.com/watch?v=085KSyQVb-U
1.
3.
𝐿𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝐹𝑎𝑐𝑒
𝐿𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝐹𝑎𝑐𝑒
2. 𝐿𝑒𝑛𝑔𝑡ℎ 𝑓𝑟𝑜𝑚 𝑇𝑖𝑝 𝑜𝑓 𝐽𝑎𝑤 𝑡𝑜 𝐸𝑦𝑒𝑏𝑟𝑜𝑤𝑠
𝑊𝑖𝑑𝑡ℎ 𝑜𝑓 𝐹𝑎𝑐𝑒
𝐿𝑒𝑛𝑔𝑡ℎ 𝑓𝑟𝑜𝑚 𝐿𝑖𝑝𝑠 𝑡𝑜 𝐸𝑦𝑒𝑏𝑟𝑜𝑤𝑠
𝐿𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑁𝑜𝑠𝑒
4.
𝐿𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑀𝑜𝑢𝑡ℎ
𝑊𝑖𝑑𝑡ℎ 𝑜𝑓𝑁𝑜𝑠𝑒
What needs to be included:
1. On a separate piece of paper, write down your actual measurements (measurements from your face) for these
ratios. You will also be writing down the measurements in the photo you took of yourself. How do the ratios
compare to one another? Show all work that you did to complete the ratios.
2. In your self-portrait, use your actual measurements to complete the drawing. Describe how you were able to
complete your self-portrait on a separate piece of paper. For example, if you used a scale, did you use a scale to
enlarge or shrink your face? How did you use all of your ratios to complete the drawing? Be as detailed as
possible when describing how you completed your portrait. Be sure to include all measurements you used to
make the drawing as close to your actual measurements as possible.
3. Your final project should include the photo of yourself, the self-portrait and the written explanation to
questions 1 and 2, copy of rubric.
Rubric:
Self-portrait
20 Points
Written Explanation
20 Points
Calculations
(Handwritten)
Report (Typed)
To earn full credit, student must have used at least 4
ratios to complete the drawing and included a photo of
himself/herself. The ratios in the self-portrait accurately
reflect the measurements found.
Student was able to thoroughly explain how to use the
ratios in both their face and the photo of themselves.
Student is also able to use a correct scaling of their face
and calculate ratios correctly. Student provided a wellwritten and detailed explanation of how they used their
ratios to create their self-portrait.
Option 2:
Create a poster with pictures of items that contain elements of the Golden Ratio in them. This can include things
in nature, elements of architecture, art, music, etc. Refer to the YouTube videos for some inspiration.
“The Golden Mean”
http://www.youtube.com/watch?v=2zWivbG0RIo
“Golden Ratio in the Human Body.”
http://www.youtube.com/watch?v=085KSyQVb-U
In the “Golden Mean” video, they mention how the Golden Ratio is used in architecture, interior design, web
and graphic design, music, film, poetry, socioeconomics as well as our psychology/ the way we think.
That gives you a total of eight categories.
In your poster, you are to include at least five of the eight categories (one of which must be nature) in your
poster. In each category, you are to include at least one picture of items that use the Golden Ratio. For example,
if you choose interior design as one of your categories, you may include a wallpaper design that uses the spiral
created by the Golden Ratio. On your poster, a short description (about one or two sentences) should be
provided for each picture describing how it relates to the Golden Ratio.
What Needs to Be Included:
1. Poster with 5 total items from 5 different categories (1 of which must be nature). The poster should include a
short description for each of the items on the poster.
2. A written component describing why you chose the categories as well as a more detailed description of your
photos in the poster. This should be about one to three pages in length.
3. A list of websites and/or books/magazines where you obtained your information. Please break down the list
into categories.
Example:
Nature


Encyclopedia Britannica: Article on Puppies.
Yahoo: Feature story on the DNA
4. Your final project should include the poster, a written report about 1-3 pages in length, an informal
bibliography/ list of sources where you obtained your information broken down by category, and the rubric.
Poster
Written Report
15 Points
22.5 Points
(Typed)
Bibliography
2.5 Points
Poster has at least 5 categories that are neatly labeled and well
organized with concise descriptions added.
Report is well-written with student demonstrating knowledge and
understanding of the Golden Ratio as well as exemplary research
skills. The description of the objects is very detailed. The student
demonstrated the use of multiple sources to obtain accurate
information about the objects chosen. The report was well-organized
and easy to follow.
Student organized the bibliography into respective categories and
included a title and/or URL to the information. The bibliography was
well-organized and easy to follow.