STOP! If you plan on finishing this badge, right now I want you to take a blank sheet of paper and draw any THREE (3) of the following company logos from memory (including color — not just black and white drawings unless the logo itself is black and white). Don’t look them up, just draw what you can remember of any three of these logos:
Apple, Adidas, Burger King, Domino’s, 7-11, Foot Locker, Starbucks, Walmart, Target, IKEA.
People all over the country were asked to do this activity, and the results are interesting. After you’ve drawn your logos from memory, click HERE to compare your drawings to everyone elses.
Draw the logos before reading the article, then look at the article. You don’t have to read the whole thing — but read the introduction, then skip to the three sections that correspond to the three logos that you drew (You can use the icons near the top of the article to “jump” to that section”)
Answer these questions:
- How did you do? Compare any mistakes you made to the most common mistakes made by other people.
- Write a few sentences comparing common mistakes you noted between the three logos that you read about. Do humans have any common tendencies? Notice any patterns you see in the mistakes that people tended to make. What were the easiest parts of each logo to remember? Why do you think that is?
- Read the Summary at the bottom of the page and “place yourself” on the table/chart that they showed. Do you think you have a better- or worse-than average memory?
- Take the interactive quiz underneath the summary How did you do? Better or worse than you expected?
When you turn in your badge, be sure to include your original drawings-from-memory.
Did you know the color distribution of M and Ms has changed over the years? Quartz has a breakdown, and how you can which factory your candy originates from (including one right here in Tennessee)! (Thanks to Bowman Dickson for sharing this link on Twitter!)
Read the article linked here or above.
Answer the following questions in a couple of sentences each.
- Compare the color distribution for M and M’s in 1997 compared to the color distribution in 2008. What changed? Why do you think it changed (hypothesize)?
- Why does Mars no longer publish the color data for M and Ms? (In other words, what’s true about the two different plants that manufacture M and Ms?)
- Buy a bag of M and Ms and before you eat it, count the colors. Create a data display (bar graph, pie graph, etc) to show the color distribution in your bag (you can use Excel or some other program to help you do this, or you can do it by hand). State whether or not you think you are eating New Jersey or Tennessee M and Ms based on your results, and explain your reasoning.
Gerrymandering is the term for when political borders (shapes of districts, etc.) are set so that one political party/group gains an advantage. It’s widespread, but there are some cases in the court system now trying to address the issue — and mathematicians are helping. From The Nib comes a comic the describes mathematicians’ roles when it comes to Gerrymandering. Check it out!
Read the comic linked above. Answer the following questions in a couple of sentences each.
- Using the cartoon of red/blue houses, explain how gerrymandering can take an evenly split vote between two parties and make it a “majority win” for one of the parties.
- Courts have rules against districts in the past for racially-based gerrymandering. But why have the court systems been mostly powerless to rule on partisan gerrymandering cases to this point?
- Mathematicians are tackling the unresolved question of how “compact” districts can be and how to define that compact-ness. What are two ways that “compact” can be defined mathematically?
- In your own words, describe what is meant by “negative curvature”. Why is this a red flag for districts?
- How are mathematicians using “maps that could have been” as a way to frame the gerrymandering discussion?
From Nerdist comes an infographic outlining the fastest space craft in the known universe — both real and fictional! Check out the picture here! (Nerdist)
Look at the infographic linked above.
Pick out two of your favorite ships from the “relativistic” category. Calculate their acceleration in m/s^2 (meters per second per second). Compare those to a roller coaster in our very own Dollywood called the Tennessee Tornado, which reaches 3.7G. How is it possible that a roller coaster achieves the same G-force as a space shuttle?
Then, pick out two of your favorite ships from the “faster than light” category (Note: These are *all* fictional, as this type of travel is not yet possible). Calculate their speed in miles per hour (You need to know that there are 1000 meters in a kilometer, and 1.62 km in a mile to do this calculation). Please note that you may put your answers in scientific notation, and that you may not choose the Heart of Gold for this exercise.
*If you liked this badge, thank Eleanor for sharing the infographic with me!
So there’s this Twitter feed that tweets out the prime numbers…in order…on the hour…every hour. Friend of Pre-Algebra.info David Butler analyzed the data from this Twitter feed to see which prime numbers were the most popular (via Likes and Re-Tweets). See the results in his blog post.
`1. Before you visit the blog post linked above, visit the Twitter feed that lists primes. Out of the most recent 15 primes listed, which one is your “favorite”? (You can decide how to interpret “favorite”. Just decide which of the most recent 15 primes you like the best).
2. Now visit Dr. Butler’s blog post where he analyzes the prime data. Read the blog post and look at the data displays. List at least four characteristics he noticed about the “most liked” primes, and give an example from the data to support each claim.
3. Refer to your prime choice from question #1. Does your choice fit any of the four categories from the second question? Which ones?
4. Hypothesize: Why do you think certain patterns or arrangements of primes are more “likeable” than others? What might this have an impact on subjects like cryptography (internet passwords or even locker combinations)?
5. Here’s a link to ten random ten-digit prime numbers? Using what you’ve learned so far, which one do you think would be the “most liked”? Explain your reasoning.
With GPS data being used in a variety of sports, we have more data than ever to compare professional athletes. More than just stats like goals and assists, we can actually measure distance traveled and top speeds. The folks over at SportTechie have analyzed the data comparing amateur and professional soccer players. Check out the differences between the players here.
Read the article linked above and answer the following questions (You may use a calculator, but show your work!).
- The English Premier League leader in distance covered in the 2016/17 season was Tottenham’s midfielder Christian Eriksen, who covered an average of 11.92 kilometers per match. If there are approximately 1.62 km. in a mile, how many miles did he average per match? How does that compare to an average professional midfielder (data included in the article)?
- Let’s say an amateur attacker and a professional attacker are both racing towards the same spot on the soccer pitch. Both players are 100 feet from the spot. Calculate how far away would the amateur player be from that spot when the professional player arrived there, assuming both players ran at their top speed the entire time. (There are 5280 feet in a mile, and use the speed data from the article linked above).
- An English Premier League season is 38 games long. Over the course of a 38-game season, calculate how much farther a professional defender would run when compared to an amateur defender.
Via CityLab comes a bunch of infographics that examine how different flags around the world are constructed. Pretty cool stuff!
Pick the United States and one other country (Your choice! Maybe this is a country that you’ve visited, one where you have lived at one time in your life, one where a family member lives, or just one you are interested in for any reason).
Look through the infographics at the link above and answer the following questions about the flags for the USA and the other country that you chose.
- Do your countries’ flags (USA and the other one you chose) have any of the five most typical layouts? If so, which ones?
- Do your countries’ flags have any of the most typical colors included in them? Which ones?
- Research what the colors on your countries’ flags are used to represent. Are they the most typical meaning behind those colors, or a less-used meaning?
- Do your countries’ flags include any of the five most common symbols? Which ones?
- How complex are your countries’ flags? If they are more than just “Child’s Play”, what elements do you think made the flags more complicated?
- Finally, imagine you were going to create a new country and had to design a flag. Given what you learned about flag design from these infographics, how would you design your flag so that it was similar enough to other world flags (doesn’t feel like a huge outlier) but still different enough to be recognizable and unique (doesn’t feel like a copycat) ? Draw/color a sketch of your new flag after you print out your answers to the previous five questions.