This would fall under the Common Core standard S-ID.A.4:

Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.

On the front, each one should be labeled 100%, 99.7%, 95%, and 68%. Then fold them in half and on the backs, label each half of the backs: 50%, 49.35%, 47.5% and 34%. Now they can put them together and just add or subtract them. For example, the probability of data being below 1 standard deviation is the 50% below the mean, and half of the piece for 1 standard deviation above the mean: 50% + 34% = 84%.

Now if the endpoints of the data are on the same side of the mean, then you need to subtract. In this case, data between 1 standard deviation and 2 standard deviation is 47.5% then take out the red 34%, 47.5% – 34% = 13.5%

Here are some students working with them.

I used the Khan Academy exercise on Empirical Rule. And these are the worksheets that they are working on.

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