2021 AP Statistics Summer Institute
Instructor: Marty Sternstein
This AP Statistics workshop will provide an overview of statistical ideas and concepts and give valuable resources and instructional strategies for teaching AP Statistics. We will cover the four principal areas of the AP Curriculum: Exploratory Analysis, Data Collection, Probability, and Statistical Inference. Participants will be given instruction on content, classroom activities, teaching strategies, time management, uses of technology, review for the exam, cumulative projects, and exposure to previous AP questions. There will be a discussion of AP goals, resources, the CED, and equity issues, the course audit, and recommended textbooks. This workshop will be valuable not only to teachers planning to teach or already teaching AP Statistics, but also to Pre-AP teachers who through vertical teaming can help prepare and encourage students to take AP Statistics.
More specifically, the following topics will be covered in some detail:
1) Exploratory Analysis: graphical displays including dotplots, bar charts, histograms, mosaic plots, stemplots, and boxplots; numerical summaries including median and mean, range, interquartile range, variance, and standard deviation; bivariate data including scatterplots, correlation, the least squares regression line, the coefficient of determination, and residuals; and categorical data including frequency tables and Simpson’s paradox.
2) Planning a Study: simple random sampling, sampling error, sources of bias in surveys, and stratification to reduce variation; observational studies vs experiments; blinding, double-blinding, blocking; random sampling vs random assignment.
3) Probability: multistage probability calculations, discrete random variables and their probability distributions, simulation of probability distributions, and means and standard deviations for sums and differences of random variables; normal distribution; sampling distributions of sample means and sample proportions.
4) Statistical Inference: confidence intervals for means and proportions, difference of two means or proportions, slope; hypothesis tests including null and alternative hypotheses, P-values, one and two sided tests, Type I and Type II errors; tests for a proportion, for a mean, for a difference, and for a slope; chi-square test for goodness of fit and chi-square test for independence; the t-distribution and associated single sample and two sample t-procedures.
Much of the above will be presented and illustrated in the context of activity-based examples.
Day 1 agenda
Experienced teachers – think of one thing to share with Newbies!
AP Central is invaluable – apcentral.collegeboard.com
Achieving Equity – Not an achievement gap, but rather an opportunity gap
AP Course Audit
College Board AP Statistics CED
Brief History, Growth, Curriculum, and the Exam
Day 1 homework survey
The Pit and the Pendulum
Part I (Exploratory Data Analysis – Descriptive Statistics)
Bordering state activity
Liberia – Canada histogram exercise
Penny activity on mean and standard deviation
2011B AP Exam Question #1, 2015 AP Exam Question #1
2016 AP Exam Question #1, 2019 AP Exam Question #1
Barbie bungee drop activity
Valentine Day activity
2007B AP Exam Question #4, 2017 AP Exam Question #1,
2018 AP Exam Question #1
Day 2 agenda
Part II (Planning a Study – Producing Data)
Randomization: Lanarkshire milk experiment
Wording: Largest redwood
Gettysburg Address exercise
Jelly Blubber activity
Bruno Mars concert exercise
Six articles activity
2011 AP Question #3, 2011B AP Question #2,
2013 AP Question #2, 2019 AP Question #2, 2006B AP Question #5
Part III (Probability)
The professor, the prosecutor, and the blonde with the ponytail
Tennis Tournament probabilities
Shooting free throws
Twelve days of Christmas
2010 AP Question #4, 2017 AP Question #3,
2019 AP Question #3, 2017 AP Question #6,
2013 AP Question #3
A Tacky Activity
The German Tank Problem
2009 AP Question #2
Day 3 agenda
Part IV (Statistical Inference)
2013 AP Question #1, 2016 AP Question #5, 2018 AP Question #2
Evidence to Reject?
The Spinning Coin
Globe Tossing activity
Significance of a Kiss activity
2009B AP Question #5, 2012 AP Question #5
2019 AP Question #4
2008 AP Exam Question #5, 2011B AP Exam Question #4
2011 AP Exam Question #5
Day 4 agenda
Frog/Bunny flipping activity
The dreaded #6s are really not bad!
2009, 2010, 2011, 2014, 2015, 2016, 2018 AP Exam Questions #6
Wrap-up Final questions???