Thursday, July 21, 2016

Pokémon Go problems for 6th grade math

I've been playing far too much Pokémon Go recently, but assuming the game stays popular, it's fantastic for generating math problems. Here's what I've thought of so far.

Multi-digit long division problems: 

  • To reach the next level you need to earn 10,000 experience points total. If you have already earned 2,350 points, how many Pokéstops do you need to visit (at 50 XP per Pokéstop) to reach the next level?
  • To reach the next level you need to earn 10,000 experience points total. If you have already earned 2,350 points and are a curveball champion (so you can catch already caught Pokémon for 100 XP), how many Pokémon do you need to capture to reach the next level?
Decimal division problem:
  • To hatch an egg, you need to walk a total of 5.0 kilometers. You have walked 0.8 km so far, and can do laps on a waling path that is 1.2 km long. How many laps will you have to do to hatch the egg?
Rates, proportions, and percentages:
  • The picture below shows the progress bar to level up. On my phone it is 450 pixels wide. Based on the picture, what percentage of 10,000 points has been earned so far? How many pixels have been shaded to show the progress?

Decimal arithmetic and unit conversion:
  • What is the difference in weights and heights for the two Raticates shown below? How much would each weigh in pounds (if 1 pound equals 0.45 kg)? How tall would each one be in inches (if 1 inch = 2.54 cm)?

Statistics: 
  • Pick a Pokémon that you (or the class) have many of. (For example, Pidgeys or Rattatas.) Find all the weights for the Pokémon you have and find the mean and median. Create a dot plot, a box plot, and a histogram. Try to figure out which Pokémon are labelled XS (or extra small) and XL (or extra large). 
That's what I've come up with so far --- if you have more ideas, let me know!

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