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Catch the Spirit of Mathematical Practices

Mathematics Investigations

Door 1 Door 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?

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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?

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Catch the Spirit of Mathematical Practices

Mathematics Investigations

Let’s Make a Deal

What observations can you about our predictions for theSTAY and SWITCH strategy?

Let’s generate some data that might give us some insights in the STAY and SWITCH strategies.

STAY or SWITCH?

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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

3 1 2 1 3L W

Questions?

Following this procedure and complete at least 10 trials.

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Catch the Spirit of Mathematical Practices

Mathematics Investigations

Let’s Make a Deal . . . 2nd Prediction

STAY Strategy . . . What % of the time do you think you would win? Write your 2nd prediction on post-it note (color 3).

SWITCH Strategy . . .What % of the time do you think you would win? Write your 2nd prediction on post-it note (color 4).

Post your predictions on the poster.

STAY or SWITCH?

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Catch the Spirit of Mathematical Practices

Mathematics Investigations

Let’s Make a Deal

What observations can you about our predictions for theSTAY and SWITCH strategy?

Let’s look at data simulated using an excel spreadsheet.

STAY or SWITCH?

Let’s Make a Deal Spreadsheet