ALGII.7 Statistical Inferences

Beginning Lesson

Aws4 request&x amz signedheaders=host&x amz signature=91fb1a0d3c9f3b34e39efe5af2debb876d633914593f4a0cb23b7618ab1212a5

Driving Question

When should NFL teams go for it on fourth down? Students use quadratic functions to develop a model of expected points. They then apply this model to determine when teams should punt the ball, and more importantly, when they shouldn’t.

Topic: Building Functions (BF), Interpreting Functions (IF), Using Probability to Make Decisions (MD)

Middle Lessons

Aws4 request&x amz signedheaders=host&x amz signature=632b3fbc9160dfb56f4016aa48cc863cd0053943b0baddb1efc05f7838e600e2

Basketball IQ

In basketball, which shot should you take? Students use probability and expected value to determine how much 3-point and 2-point shots are really "worth" to different NBA players.

Topic: Conditional Probability and the Rules of Probability (CP)
Aws4 request&x amz signedheaders=host&x amz signature=8023036e3605adc3322748613bf2586e466c899bb0a1483902a9bed5f102a952

Happy Meal

How much should you spend to get all the toys? Students use probability and expected value to figure out how many Happy Meals they should plan on buying if they want to collect all the toys in a series.

Topic: Interpreting Categorical and Quantitative Data (ID), Making Inferences and Justifying Conclusions (IC), Statistics and Probability (SP), Using Probability to Make Decisions (MD)
Aws4 request&x amz signedheaders=host&x amz signature=5daea7a232f75ce40fa9d0b0c1b594db6b0083b7c816b7c4c495d46172052631

The Waiting Game

How many people should you date before you settle down? Students use modeling with probability distributions to come up with a rule to try to maximize their relationship happiness.

Topic: Conditional Probability and the Rules of Probability (CP), Making Inferences and Justifying Conclusions (IC)

End Lesson

Aws4 request&x amz signedheaders=host&x amz signature=d6a9356404361a70d42fa6e38925b5409461f21f85e680a311bd8e6c26a1e5e7

Shuffle

What does it mean for a playlist to be "random?" Students use probability to explore the idea of randomness, as well as the patterns that can emerge from random processes like shuffles.

Topic: Conditional Probability and the Rules of Probability (CP), Interpreting Categorical and Quantitative Data (ID)