I want to reflect publicly on the amazing experience that was #TMC18. This was my third Twitter Math Camp, and I get more out of the experience every time I attend. I am grateful to Dave Sabol, St. Ignatius High School, Lisa Henry, and the entire TMC planning committee for their hard work and dedication. Thank you all.
With the 2018 Winter Olympics in full swing, 538 has published an analysis of Men’s vs. Women’s skiing statistics. In the history of the Olympics, men and women have always raced separately and received separate medals. American Olympian Lindsey Vonn wants to be able to race against the men. What do the numbers say about this?
Read the article linked above. Answer the following questions in a couple of sentences each.
- In what skiing event(s), if any, do men appear to be consistently faster? In what skiing event(s), if any, do women appear to be consistently faster? In what skiing event(s), if any, does there not appear to be any discernible difference between men’s and women’s speed?
- What other factor(s) do we need to take into account about the men’s and women’s skiing events besides their average speed?
- Using the data provided in the article, write a short paragraph making an argument either FOR or AGAINST women racing against men in alpine skiing events. (There is no correct stance to take on this issue, but you must use the data to support your claim. Don’t just state your opinion.)
- Does Lindsey Vonn think she would win against the men? What do you think is her motivation for wanting to race against the men?
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.
Take a look at them here: http://www.theplayerstribune.com/author/jurschel/
Each Wednesday, Mr. Urschel publishes a set of three problems to solve. Spend approximately 15 minutes per problem working on a solution. NOTE: It’s OK if you don’t find a full solution to each problem. But you need to turn in what looks like approximately 15 minutes worth of work on each problem. Write out either your solution or your thoughts about this problem (Why was it hard? Are you close to a solution? What could you have done differently/better? etc.)
To earn a badge you must turn in your work before the solutions to the problems are published the following Wednesday. This means you must pick the most current/recent problem set in order to earn a badge for this article. You are of course welcome to work on these problems just for fun. Bring them to Mr. Bezaire and he’ll help you!!
Usain Bolt did it again. Bolt became the first male athlete to win three gold medals in the 100 m dash, cementing his status as the fastest man to ever live. See the highlights here: http://www.nbcolympics.com/video/usain-bolt-wins-third-straight-100m-gold.
The Hindustan Times created this cool infographic that details the fastest person from every country. A very interesting way to view some very interesting data points. Check it out here: http://www.hindustantimes.com/static/olympics/every-country-fastest-man-in-one-race-100m/
Watch the “race” at both of the links above, and click through the informational pieces that are provided. Answer the following questions as you click the “NEXT” button.
- Use the information about India’s Amiya Kumar Mallick (how far behind he is in distance (m) and time (hundredths of a second) to estimate how fast (meters per second) these world class sprinters are running.
- Create a new speed estimate based on the distance between Usain Bolt and the runner from Tuvalu (the slowest represented in this list).
- Are the two speed estimates the same? Explain why you think this is the case.
- Find a 100m runner from the USN middle school track team. Based on their PR time, estimate how many meters they would finish behind Usain Bolt in a race.
Whoa: 538 (ESPN) has published a huge analytics piece on Sumo wrestling. Hakuho, a modern great yokozuna in the world of sumo wrestling has drawn comparisons to the historically great Raiden (a great wrestler from the 1700’s — centuries ago!). They analyze the careers of both wrestlers and try to determine who is the “greatest sumo wrestler of all time”
Check out the article here: http://fivethirtyeight.com/features/the-sumo-matchup-centuries-in-the-making/
Or dive deep into the data yourself here: http://projects.fivethirtyeight.com/sumo/
Read the article (first link above). Write a paragraph making the case for each wrestler (Hakuho and Raiden) being the greatest of all time (two paragraphs total). Find another all-time great wrestler (use a name from the article, or another sumo wrestler you may be familiar with for some inexplicable reason), research his career online, and estimate their place on all 6 graphs in the second link (screenshot each of the six graphs by using SHIFT-COMMAND-4, import them into your Word or a Google Doc that contains the above paragraphs and use a picture tool to place a mark where you think your wrestler “belongs” on each graph). Write a sentence that explains your wrestlers place in sumo history (average, below average, all time great, etc.)
The hometown Nashville Predators won a classic last night to draw their playoff series with the San Jose Sharks even at 2 games apiece. The game went to three overtimes. (Three 20 minute periods are a normal game, and this was followed by two full 20 minute periods and around 11 minutes of the third overtime. Almost two full games).
Sportswriter Joe Lemire dug into the data to see how a game like this affects the players physically. The exertion is pretty amazing. Check out the article here: http://www.vocativ.com/316359/160-miles-skated-the-toll-of-a-triple-ot-classic/
Read Mr. Lemire’s Vocativ article linked above.
Problem Solving: The longest NHL playoff game in recent history was between the Pittsburgh Penguins and the Philadelphia Flyers. On May 4, 2000, Keith Primeau scored 12 minutes into the 5th Overtime (so: 3 full 20 minute periods, 4 full 20 minute overtimes, and 12 minutes of the 5th overtime).
Imagine last night’s game had gone on as long as the Flyers/Penguins game. If Shea Weber, Brent Burns, and Roman Josi had all played similar roles how many miles would each of them have skated by the end of the night?
Mr. Lemire’s article about the 3 OT game estimates that the two teams together skated over 160 miles. Estimate the total distance traveled if the Sharks and Predators had played for as long as the Flyers and Penguins did back in 2000.