ALGII.7 Statistical Inferences

Beginning Lesson

Aws4 request&x amz signedheaders=host&x amz signature=9360b3450e038c69e300f89d6682c3a30ea064579ec2880014e5f4503a1c822e

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=a16af0422914aaebdd6ce748b05789730bbb579f1a2ad66f6a532ee37faa9969

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=a3b78b454f3e57a337863a8dc840dc3ced7bb0270a24ead6d100f8a3e6319d9a

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=1bb43a10e04dcc87737f688396dac2105dfc8f19aa65b1b2a6f9e1e40b34a511

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=6a93c0a4ffdbc9343c1de8e016c7cb1744568aa8daa22ddab35b8c530ac5cbfe

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)