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PROBABILITY

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PROBABILITY PROBABILITY IS THE CHANCE OF AN EVENT OCCURING

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PRIOR KNOWLEDGE Probability is represented by a number between 0 and 1 Theoretical and Experimental Probability A Sample Space

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KNOWLEDGE OUTCOMES Declarative Knowledge You will know D1 The probability of an event occurring can be represented as a fraction Procedural Knowledge You will be able to P1 Represent a sample space using a tree diagram P2 List all outcomes for a two step chance experiment P3 Assign probability to outcomes

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THEORETICAL PROBABILITY RULE number of favourable outcomes Pr(event) = number of possible outcomes

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PROBABILITY WITH REPLACEMENT Also known as an Independent Event: Two events, A and B, are independent if the fact that A occurs does not affect the probability of B occurring. Maths Goodies, 2011

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PROBABILITY WITHOUT REPLACEMENT Also known as a Dependent Event: Two events are dependent if the outcome or occurrence of the first event affects the outcome or occurrence of the second so that the probability is changed. Math Goodies, 2011

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WORKSHEETS *WORK IN GROUPS OF FOUR* FOR EARLY FINISHERS THERE IS AN EXTENSION QUESTION..

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EXTENSION QUESTION Using a tree diagram to show Probability without replacement

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MATHSONLINE.COM.AU PLUSMINUSINTERESTING Provides clear explanations for each task provides answers but without explanations of how answers were reached Provides audio and visual explanations to cater to students learning styles Provides opportunity for practice through worksheets An Australian website, designed by Australian secondary maths teachers Begins with a review of probability basics Addresses the Australian Curriculum outcomes Shows examples of sample spaces and tree diagrams

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IXL MATHS PLUSMINUSINTERESTING Simplified topics for easy navigation British Curriculum outcomes and not Australian Includes an award system Interactive opportunity to practice various problems and skills Minimal formulas and definitions to provide background knowledge Provides a detailed explanation and answers to problems Minimal data representation modelling Includes a timer, score and number of attempts to solve problems Encourages self regulated learning

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PROBABILITY PREZI PLUSMINUSINTERESTING Provides clear definition of probability Limited opportunity for practice Good introductory tool Provides real-life contexts Does not cover experiments with and without replacement Includes Youtube clips for added explanation Defines experimental and theoretical probability Does not explain tree diagrams or other arrays Provides formulas Explains sample space Provides example problems

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REFERENCES Lynch, B. J., Parr, R.E., Keating, H.M. (1996). Maths 9 for the CSF. South Melbourne, Vic: Addison Wesley Longman Australia Pty Limited. Vincent, J., Price, B., Tynan, D., Caruso, N., Romeril, G. (2006). Maths World: Year 10. South Yarra,Vic: Macmillan Education Australia Pty Ltd.

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THANK YOU WE WILL NOW BE COLLECTING YOUR WOKSHEETS IN ORDER TO EVALUATE THE LEARNING

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