ACMSP116 List The likelihood Talking Option 1 Learners then are told FISH outcomes of of winning about Looking at examples. there are 12 counters in A Very Improbable Story chance simple games of Probability Learners play a number of the sock and have to by Edward Einhorn experiments chance by Learners need games which have been estimate how many of each socks (either paper cut involvingequally considering the to be able to devised by someone else, colour there are. Points outs or real ones) likely outcomes number of describe the discover faults and can be awarded for every and represent possible probability of and suggest colour correct. probabilities of outcomes and different improvements. (This The difficulty can be those outcomes the consequent events using involves the strategic skills altered by changing the using fractions chance of words. Words of 'understanding a number of colours or the ACMSP117 winning. like probable, situation' and 'identifying number of counters. Recognise that Investigate the improbable, relevant factors in it'.) probabilities range probabilities of likely and Option 2 from 0 to 1 all outcomes for unlikely are Developing your own a simple chance needed to do ideas. Learners share their experiment and this clearly. ideas within groups, then verifying that Make up a decide on a rough plan for their sum probability their own game. (This equals 1. scale with the involves 'listing students, alternatives', 'estimating clearly resources required', showing 'making decisions' and 5.2.29 where the ’planning'.) words might Making your game. Each fit. group of learners produces a design, then makes it up and checks the finished version. (This involves 'implementing a plan', 'selecting and using appropriate mathematical techniques' and 'checking and testing'.) Option 3 Testing and Evaluating. The groups exchange games and test them. When they are returned, each group re-assesses its own game in the light of another group's comments. (This involves 'evaluating the outcome of a plan in action'.)
5.2.29 ACMSP116 List outcomes of chance experiments involvingequally likely outcomes and represent probabilities of those outcomes using fractions ACMSP117 Recognise that probabilities range from 0 to 1 The likelihood of winning simple games of chance by considering the number of possible outcomes and the consequent chance of winning. Investigate the probabilities of all outcomes for a simple chance experiment and verifying that their sum equals 1. Talking about Probability Learners need to be able to describe the probability of different events using words. Words like probable, improbable, likely and unlikely are needed to do this clearly. Make up a probability scale with the students, clearly showing where the words might fit. Option 1 Looking at examples. Learners play a number of games which have been devised by someone else, discover faults and and suggest improvements. (This involves the strategic skills of 'understanding a situation' and 'identifying relevant factors in it'.) Option 2 Developing your own ideas. Learners share their ideas within groups, then decide on a rough plan for their own game. (This involves 'listing alternatives', 'estimating resources required', 'making decisions' and ’planning'.) Making your game. Each group of learners produces a design, then makes it up and checks the finished version. (This involves 'implementing a plan', 'selecting and using appropriate mathematical techniques' and 'checking and testing'.) Option 3 Testing and Evaluating. The groups exchange games and test them. When they are returned, each group re-assesses its own game in the light of another group's comments. (This involves 'evaluating the outcome of a plan in action'.) Learners then are told there are 12 counters in the sock and have to estimate how many of each colour there are. Points can be awarded for every colour correct. The difficulty can be altered by changing the number of colours or the number of counters. FISH A Very Improbable Story by Edward Einhorn socks (either paper cut outs or real ones)
planningf_year5_sem2.docx