Objective/s

(Chance and Data)

Teaching Strategies, Activities and Personal Management Notes

Resources

·     to determine fair outcomes when tossing two coins

·     to identify combinations when tossing two coins

·     to understand that theoretical outcomes are more closely approximated when the number of trials are increased

Activity 9

·     At this site, students will toss 2 coins a number of times.  Firstly, allow students to experiment with a small number of trials, e.g. 10, 20, 30, 50.  Highlight the inconsistency of the results and the unexpected results.  (Note:  the board game is not accessed during this experimental stage.)

·     Secondly, students will toss 2 coins using 500 trials (insert the following data on the front page:  How many coins?  2  How many trials?  500).  As with the above activity, the hare is TT/HH and the tortoise is HT/TH.  Therefore, the hare is the first and last columns and the tortoise is the middle column only.   Move forward on the board game accordingly (2 places for a win, 1 place for a tie). Repeat 500 trials 3 times more, each time moving your counter on the board game. 
http://www.mathsonline.co.uk/nonmembers/resource/prob/coins.html
 


 

Instructions for Students

Link to Use

Activity 9

·     At this site, you can toss two coins a number of times, e.g. 10, 20, 30, 50.  Unfortunately, the results are inconsistent.  Why do you think this is the case?  Don’t move on the board game at this stage. 

·     Next, you can toss 2 coins using 500 trials.  Insert the following data on the front page:  How many coins?  2  How many trials?  500).  As with Activity 8, the hare is TT/HH and the tortoise is HT/TH.  Therefore, when looking at the graph, the hare is the first and last columns and the tortoise is the middle column only.   Move forward on the board game accordingly (2 places for a win, 1 place for a tie). Repeat 500 trials 3 times more, each time moving your counter on the board game.  You get to move 4 times altogether.
http://www.mathsonline.co.uk/nonmembers/resource/prob/coins.html
 

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