Catch the Spirit of Mathematical Practices Mathematics Investigations Door 1Door 2 Door 3 Let’s Make a Deal...  Contestant picks one of three doors (1,

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Presentation transcript:

Catch the Spirit of Mathematical Practices Mathematics Investigations Door 1Door 2 Door 3 Let’s Make a Deal...  Contestant picks one of three doors (1, 2, or 3).  Game host displays what is behind one of the two doors not selected.  Contestant has a choice stay with their first choice or pick door not exposed. Should you STAY or SWITCH?

Catch the Spirit of Mathematical Practices Mathematics Investigations Let’s Make a Deal  STAY Strategy... What % of the time do you think you would win? Write your prediction on post-it note (color 1).  SWITCH Strategy... What % of the time do you think you would win? Write your prediction on post-it note (color 2).  Post your predictions on the poster. STAY or SWITCH?

Catch the Spirit of Mathematical Practices Mathematics Investigations Let’s Make a Deal  What observations can you about our predictions for the STAY and SWITCH strategy?  Let’s generate some data that might give us some insights in the STAY and SWITCH strategies. STAY or SWITCH?

Catch the Spirit of Mathematical Practices Mathematics Investigations Let’s Make a Deal: Data Collection Worksheet STAY or SWITCH?  HOST – records data on worksheet and keeps it hidden from the contestant.  Trial 1: HOST - Identifies the Prize Door. (3) CONTESTANT – Picks a Door (1) HOST – Shows a Door not yet selected (not where the prize is hidden.) (2) STAY Strategy - Contestant STAYs (1) SWITCH Strategy – Changes pick to the door not yet picked or seen. (3) HOSTs records the information and identifies the results for each strategy. STAY: L SWITCH: W LW Questions? Following this procedure and complete at least 10 trials.

Catch the Spirit of Mathematical Practices Mathematics Investigations Let’s Make a Deal... 2 nd Prediction  STAY Strategy... What % of the time do you think you would win? Write your 2 nd prediction on post-it note (color 3).  SWITCH Strategy... What % of the time do you think you would win? Write your 2 nd prediction on post-it note (color 4).  Post your predictions on the poster. STAY or SWITCH?

Catch the Spirit of Mathematical Practices Mathematics Investigations Let’s Make a Deal  What observations can you about our predictions for the STAY and SWITCH strategy?  Let’s look at data simulated using an excel spreadsheet. STAY or SWITCH? Let’s Make a Deal Spreadsheet