PROBABILITY

http://www.youtube.com/watch?v=2nSbsfQWoL0&feature=related

PROBABILITY

PROBABILITY IS THE CHANCE OF AN EVENT OCCURING

PRIOR KNOWLEDGE

• Probability is represented by a number between 0 and 1

• Theoretical and Experimental Probability• A Sample Space

KNOWLEDGE OUTCOMES

Declarative KnowledgeYou will knowD1 The probability of an event occurring can be

represented as a fraction

Procedural KnowledgeYou will be able toP1 Represent a sample space using a tree diagramP2 List all outcomes for a two step chance experiment P3 Assign probability to outcomes

THEORETICAL PROBABILITY RULE

number of favourable outcomesPr(event) = number of possible outcomes

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

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

WORKSHEETS

*WORK IN GROUPS OF FOUR*

FOR EARLY FINISHERS THERE IS AN EXTENSION QUESTION..

EXTENSION QUESTION

Using a tree diagram to showProbability without replacement

MATHSONLINE.COM.AUPLUS MINUS INTERESTING

•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

IXL MATHSPLUS MINUS INTERESTING

•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

PROBABILITY PREZIPLUS MINUS INTERESTING

•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

REFERENCESLynch, 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.

THANK YOU

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

LEARNING