Post on 31-Mar-2015
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