Posts tagged ‘ratio’
In the NBA, a triple-double happens when a player has a double-digit total in three of the five categories (points, assists, rebounds, steals, and blocks) in a game. Triple-doubles are very rare; on average, one has been recorded only once every 27 games since 2003. So far this season, there have been 111 triple-doubles throughout the entire NBA — and Russell Westbrook has 41 of them.
In 1961-62, Oscar Robertson set a record that Westbrook is about to break. That year, Robertson recorded 41 triple-doubles in 80 games. Westbrook recorded his 41st triple-double of the current season in just 78 games. When two fractions have the same numerator, the one with the smaller denominator is larger. Consequently, 41/78 > 41/80, so Westbrook’s accomplishment exceeds Robertson.
But ratios can be used to make the point even more dramatically. In the early 1960’s, pro basketball games were played at a faster pace than they are today. In 1961‑62, the average game featured 126.2 possessions, meaning that Robertson typically had more than 60 tries to grab a rebound, make an assist, or score some points. By comparison, there have been an average of just 96.4 possessions per game during the current NBA season, meaning that Westbrook generally has fewer than 50 attempts per game to improve his stat line. So another ratio — the comparison of points, rebounds, and assists to number of possessions — also leans in Westbrook’s favor.
Who knew that either of these guys were such fans of math?
At Discovery Education, we’ve been having a lot of fun writing basketball problems based on real NBA data. Check out a few problems at http://www.discoveryeducation.com/nbamath, and get a glimpse of the NBA Analysis Tool within Math TechbookTM by signing up for a free 60-day trial at http://www.discoveryeducation.com/math.
While flipping through the Big Book of Zany Activities from Kidsbook®, my sons came across the following challenge:
Can you make 25 or more words from the following word?
Alex put pencil to paper immediately and beamed as he wrote the word ratio.
It made me wonder if I could find 25 or more math words within CELEBRATION. Sure enough, I could. My list of 42 words is at the bottom of this post, though admittedly, a rather liberal view of what constitutes a math word is required, and there are even a couple of proper nouns on the list. But even removing the ones that were iffy, I think I still met the requisite number.
Speaking of ratio, you might be interested in the discussion of the No Slope… Ratio! joke. Though probably not, so here are some other ratio jokes.
A trainer at the gym was asked, “How can I calculate my body fat ratio?”
The trainer responded, “Well, if you have a body and you have fat, the ratio is 1:1. If you have two bodies, the ratio is 2:1. And so on.”
Yo momma is so fat, her ratio of circumference to diameter is 4!
Math Words Within CELEBRATION: