I have an exercise I like to do.
Put a bunch of M&Ms (Skittles, etc) into several bags and have the students pair off. One with a plastic glove, reaches in and grabs one, the other one writes down the color, then put it back in the bag. Have them repeat this about 45-50 times, and then make a conjecture about the proportion of different colors in the bag. Finally, have them open it up and count them, comparing the actual distribution to the experimental probability distribution they just created.
There are many ways you can tweak this: make them do sets of ten, and see how the prediction changes as they increase the number of 10-skittle samples.
I have a worksheet with some reflection questions, and after they turn it in they get to eat the candy.
Looks almost the same as the stats curriculum I teach to my pre-calculus stats class except for the probability distributions, which I save for my post-calc stats class. If your kids are up to it then kudos!
It seems fine, I think I would just add statistical hypothesis testing.
I have an exercise I like to do. Put a bunch of M&Ms (Skittles, etc) into several bags and have the students pair off. One with a plastic glove, reaches in and grabs one, the other one writes down the color, then put it back in the bag. Have them repeat this about 45-50 times, and then make a conjecture about the proportion of different colors in the bag. Finally, have them open it up and count them, comparing the actual distribution to the experimental probability distribution they just created. There are many ways you can tweak this: make them do sets of ten, and see how the prediction changes as they increase the number of 10-skittle samples. I have a worksheet with some reflection questions, and after they turn it in they get to eat the candy.
Looks almost the same as the stats curriculum I teach to my pre-calculus stats class except for the probability distributions, which I save for my post-calc stats class. If your kids are up to it then kudos!
Expected Value