Simulations


Simulating probability by PhET









 Learning ObjectivesWork Material 
 SIMULATIONS
  
 
Why do we need simulations?

  

Tool: playing cards 

  

Coins and tree diagrams

  

Rolling a dice

  

Random Numbers 

  

Lotto simulation 

  
 
Lego toys

  
 
PRACTICE

  





SIMULATION AS91268  
Subject Reference  Mathematics and Statistics 2.13 
Title Investigate a situation involving elements of chance using a simulation 
Level  2  Credits  2  Assessment  Internal 

Achievement Criteria 

Achievement  
Investigate a situation involving elements of chance using a simulation. 

Achievement with Merit
Investigate a situation involving elements of chance using a simulation, with justification. 

Achievement with Excellence 
Investigate a situation involving elements of chance using a simulation, with statistical insight. 

Learning objectives
  • Investigate situations that involve elements of chance calculating probabilities using such tools as simulations and technology. It is also related to material in the Teaching and Learning Guide for Mathematics and Statistics, Ministry of Education, 2010 at http://seniorsecondary.tki.org.nz. 
  • Investigate a situation involving elements of chance using a simulation involves showing evidence of using each component of the simulation process. 
  • Investigate a situation involving elements of chance using a simulation, with justification involves linking components of the simulation process to the context, explaining relevant considerations made in the design of the simulation, and supporting findings with statements which refer to evidence gained from the simulation.  
  • Investigate a situation involving elements of chance using a simulation, with statistical insight involves integrating statistical and contextual knowledge throughout the simulation process, which may involve reflecting about the process, or considering other variables. 
The process of carrying out a simulation involves: 
  • designing a simulation for a given situation by 
− identifying tools to be used 
− defining a trial and deciding the number of trials 
− determining data recording methods
  • carrying out the simulation and recording outcomes 
  • selecting and using appropriate displays and measures 
  • communicating findings in a conclusion. 
Subpages (1): Experiments