Task Name : Cat and Dog | Task Level : I (Year 8) | ||
Semester : 1 | Topic : Chance | VC Strand : Chance | |
Web Address : http://maths.crusoecollege.vic.edu.au/chanceI | |||
Equipment Needed : A selection of six-sided, eight-sided, ten-sided and twelve-sided dice | |||
Victorian Curriculum outcome : Identify complementary events and use the sum of probabilities to solve problems. Describe events using language of ‘at least’, exclusive ‘or’ (A or B but not both), inclusive ‘or’ (A or B or both) and ‘and’. Represent events in two-way tables and Venn diagrams and solve related problems. | |||
Task description : Students play “Cat and Dog” as an intro to this task. The rules are that two six-sided dice are rolled. If the difference between the two dice are 0, 1 or 2, the “Cat” (one of the players) gets a point. If the difference between the two dice are 3, 4 or 5, the “Dog” gets a point. They then use this unfair game to create their own game which is fair. The new game must have three options – cat gets a point, dog gets a point, and either neither gets a point or both get a point. They use a two way table to show the game is fair, and use a Venn Diagram to show the probability for all possible events (cat gets a point, cat doesn’t get a point, dog gets a point, dog doesn’t get a point, both get a point, neither get a point). Encourage students to use something other than two six-sided die for extra challenge. | |||
Assessment options : Photograph of game with two way tables explaining the probability of each event as well as Venn Diagrams. | |||
Teacher notes : Extension: Students design a game of chance Extra task: Play the game Higher or Lower: What is your strategy? What was your highest score? Record the probabilities for one full game. For example: |