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Questions to be sure to include

  • Many of the learning targets can be addressed within a single context. Create a context with a nice probability distribution and you can ask several questions within that context.
  • One contextual question that deals with transforming and combining random variables. I like the temperature conversion from Fahrenheit to Celsius for transforming variables and monthly sales for combining random variables.
  • One question where students have the option of using a binomial distribution or a normal approximation to calculate a probability. Let them choose which approach and give full credit for both approaches (just make sure they check the Large Counts condition if they use the Normal approximation.)
  • One inferential thinking question. So maybe students use the binomial distribution to figure out the probability a free throw shooter makes 9 or more free throws out of 10 and then assess whether this happening would be convincing evidence that a player shoots better than 60%.
  • Don’t be afraid to ask a Chapter 5 probability question on this test if it fits.
  • At least one old AP question.  There are many to choose from and they are very accessible for students after completing this chapter.

Here are some tips to give your students

  • Close reading and careful writing are critical to your success this year.
  • Be sure to answer all parts of each question.
  • There are a lot of formulas in this Chapter. Don’t memorize them.  Understand them.
  • Don’t use binompdf as your “work” for a free response. Use the binomial formula.
  • Do use binomcdf as your “work” for a free response. Just be sure to identify the distribution as binomial along with the two parameters n and p.
  • Be able to tell when a situation calls for a binomial distribution, a geometric distribution, or a Normal distribution.

On to Chapter 7!