{"id":1866,"date":"2014-01-04T03:35:50","date_gmt":"2014-01-04T03:35:50","guid":{"rendered":"http:\/\/maths.crusoecollege.vic.edu.au\/?page_id=1866"},"modified":"2018-05-31T14:52:22","modified_gmt":"2018-05-31T14:52:22","slug":"s2t4i","status":"publish","type":"page","link":"http:\/\/maths.crusoecollege.vic.edu.au\/s2t4i\/","title":{"rendered":"Semester 1 Topic 8 Level I"},"content":{"rendered":"\n\n\n\n\n\n\n\n\n\n
Task Name : <\/b>Cat and Dog<\/td>\nTask Level : <\/b>I (Year 8)<\/td>\n<\/tr>\n
Semester : <\/b>1<\/td>\nTopic :<\/b> Chance<\/td>\nVC Strand :<\/b> Chance<\/td>\n<\/tr>\n
Web Address : <\/b>http:\/\/maths.crusoecollege.vic.edu.au\/chanceI<\/a><\/td>\n<\/tr>\n
Equipment Needed : <\/b>A selection of six-sided, eight-sided, ten-sided and twelve-sided dice<\/td>\n<\/tr>\n
Victorian Curriculum outcome : <\/b>Identify complementary events and use the sum of probabilities to solve problems. Describe events using language of \u2018at least\u2019, exclusive \u2018or\u2019 (A or B but not both), inclusive \u2018or\u2019 (A or B or both) and \u2018and\u2019. Represent events in two-way tables and Venn diagrams and solve related problems.<\/td>\n<\/tr>\n
Task description :<\/b> Students play \u201cCat and Dog\u201d 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 \u201cCat\u201d (one of the players) gets a point. If the difference between the two dice are 3, 4 or 5, the \u201cDog\u201d gets a point. They then use this unfair game to create their own game which is fair. The new game must have three options \u2013 cat gets a point, dog gets a point, and either neither<\/b> gets a point or both <\/b>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\u2019t get a point, dog gets a point, dog doesn\u2019t 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.<\/td>\n<\/tr>\n
Assessment options : <\/b>Photograph of game with two way tables explaining the probability of each event as well as Venn Diagrams.<\/td>\n<\/tr>\n
\n

Teacher notes :<\/b><\/p>\n

Extension:<\/strong> Students design a game of chance
\nIntro presentation: Design a game of chance<\/a>
\nDesign a game of chance rubric<\/a><\/p>\n

Extra task:\u00a0<\/strong>Play the game Higher or Lower<\/a>:\u00a0What is your strategy?\u00a0What was your highest score?<\/p>\n

Record the probabilities for one full game.\u00a0For example:
\nPr(<7) = 24\/51 (A, 2, 3, 4, 5, 6 are all lower: 6 x 4 suits = 24 out of 51 cards left)
\nPr(>4) = 35\/50 (5, 6, 7, 8, 9, 10, J, Q, K are all higher: 9 x 4 suits ( – 1) = 35 out of 50 cards left)
\nPr(<K) = 46\/49 (all cards except other kings are lower so the game skips)
\nPr(<8) = 26\/48
\netc…<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

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…<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"_links":{"self":[{"href":"http:\/\/maths.crusoecollege.vic.edu.au\/wp-json\/wp\/v2\/pages\/1866"}],"collection":[{"href":"http:\/\/maths.crusoecollege.vic.edu.au\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/maths.crusoecollege.vic.edu.au\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/maths.crusoecollege.vic.edu.au\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/maths.crusoecollege.vic.edu.au\/wp-json\/wp\/v2\/comments?post=1866"}],"version-history":[{"count":1,"href":"http:\/\/maths.crusoecollege.vic.edu.au\/wp-json\/wp\/v2\/pages\/1866\/revisions"}],"predecessor-version":[{"id":3183,"href":"http:\/\/maths.crusoecollege.vic.edu.au\/wp-json\/wp\/v2\/pages\/1866\/revisions\/3183"}],"wp:attachment":[{"href":"http:\/\/maths.crusoecollege.vic.edu.au\/wp-json\/wp\/v2\/media?parent=1866"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}