Probability and Number Sense

  • 1-6 Number PathTemplate for a 1-6 number path to roll a single dice
  • What's My Sum?is a document that has the the numbers from 2-12 to play the sum of number cube game.
  • Roller Derbyis a strategy game for rolling two die.


  • Non-transitive die, A > B > C but C > A Examples NRICH Wolfram Alfa Efron's Die, How game works,
  • Ted Talk on how many ways to arrange a deck of cards.
  • Green Jawbreaker activity
  • Is This Game Fair.doc This document begins with a game involving number cube difference and explores if the game is fair. It then goes to expected value of the game, other games to be played and has a project "Game Day", where students create games and then play the games using tootsie rolls.
  • simulations with 6.ppt How many times would you need to roll a die to get all of the numbers 1-6? Find the answer along with some similar quesitons to engage students.
  • Birthday Duplication Problem.doc What is the probability that in a class of 20 students at least 2 people will have the same birthday. This activity uses the complement to determine the answer. Here is spreadsheet that show the solution as well. Birthday.xls
  • Counting techniques.pptThis power point begins with tree diagrams and develops counting techniques where order and repetition are taken into consideration.

Create a Spinner

You and your partner will each design a spinner. You may choose how and where to draw the sector lines and which numbers go in each sector. Play the following game against your partner: When it is your turn, twirl your spinner twice and record your double spin—the sum of the two numbers— on your tally chart. Your partner then takes a turn and records the double spin on his or her tally chart. Continue taking turns until someone wins the round. The winner is the first person to record each of the following sums: 2, 3, 4, 5, 6, 7, and 8. Document with tally chart and spinner template.

Circle Model for Probability of Compound Event

Four identical pieces of chocolate are on a plate. Three of them are cream filled and one is cherry filled. What is the probability of getting a cream filled and then a cherry filled chocolate? Document with template.
Money Hidden in Duck
Find expected value and lots more in blog post from Dan Meyer.

Fraction to percent. Have students flip a coin to decide if they will have a candy bar or apple for break. Keep track of the cumulative fraction and percent of time that the apple is the snack. Plot the cumulative percent versus the number of trails. Related article Teaching Children Mathematics December 2011 p 328

Expected value
Dan Meyer has an interesting activity related to expected value.
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Let's say I roll a die. I ask if you want to bet on an even number coming up or a five. You're bright. You pick the even number. It has a 3/6 shot versus a 1/6 shot for the five. But what if I said I'd pay you $150 if the even number comes up and $600 for the five. Read more at the web site.