Objective 
6 Identify an outcome as possible, impossible, certain, uncertain.
Problem
  Randy made up a special die. The picture shows three sides of her die. Randy wrote these sentences about her die:
  • It is impossible to roll an even number.
  • It is possible to roll a 5, but not a 1.
  • It is certain that you will never roll a number greater than 5.
  • You are more likely to roll a 3 than a 5.
Draw a net to show all sides of her die.
Manipulative
  Materials: blank six-sided dice (or blank spinner mats, or probability tops).

  • Using a blank die, construct a new die for each statement below:
    • it is certain that you will roll a 5.
    • it is uncertain whether you will roll a 2 or a 4.
    • it is possible to roll any even number less than 11.
    • it is impossible to roll a number greater than 3, but certain that you will roll a 4.
    • it is uncertain whether you will roll a 2, 4 or 6, but it is more likely to roll a 6 than a 4, and more likely to roll a 4 than a 2.
    • it is uncertain just what number you will roll.
  • Take each of these dice, one at a time, and construct a simple experiment to check your answer.
  • Write two other sentences like the ones above and give them to a friend to construct the appropriate die.
Game
  Materials: overhead spinner, spinner mat with probability vocabulary.

  • This game is played against an opponent.
  • Player 1 twirls the spinner on the mat in the top left corner, thus identifying a task for Player 2.
  • The second player now takes the spinner mat and places it on any of the remaining 3 mats and twirls it. If the spinner lands on a space to successfully complete the task, player 2 scores a single point.
  • Roles are now reversed.
  • First player to accumulate 5 points is the winner.
Adaptations:
  • Add other tasks to the first spinner mat.
  • Replace the spinners with other types of materials (e.g., cards, beans, etc.)
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