Statistics – Agenda

2021 AP Statistics Summer Institute

Instructor:  Marty Sternstein

martys@ithaca.edu

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

Introductions

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

Opening Activities

Summer assignment

Day 1 homework survey

Two waters

Distracted driving

Westvaco

The Pit and the Pendulum

 

Part I (Exploratory Data Analysis – Descriptive Statistics)

Bordering state activity

Old Faithful

Liberia – Canada histogram exercise

Penny activity on mean and standard deviation

2011B AP Exam Question #12015 AP Exam Question #1

2016 AP Exam Question #12019 AP Exam Question #1

Midges!

Barbie bungee drop activity

Monopoly

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

Steroid testing

Birthday paradox

Twelve days of Christmas

2010 AP  Question #4,  2017 AP Question #3,

2019 AP Question #32017 AP Question #6,

2013 AP Question #3

Phone Numbers

A Tacky Activity

The German Tank Problem

2009 AP Question #2

 

Day 3 agenda

Part IV (Statistical Inference)

Random Rectangles

Morbid Math

2013 AP Question #1, 2016 AP Question #5, 2018 AP Question #2

Evidence to Reject?

Three-Point Shootout

Hiring Discrimination

The Spinning Coin

Geography activity

Globe Tossing activity

Significance of a Kiss activity

Pi-Day activity

2009B AP Question #5, 2012 AP Question #5

            2019 AP Question #4

2008 AP Exam Question #5,     2011B AP Exam Question #4

            Tootsie Pops

2011 AP Exam Question #5

Which Procedure?

 

Day 4 agenda

Review

Frog/Bunny flipping activity

Statistics Olympics

 

The dreaded #6s are really not bad!

2009, 2010, 2011, 2014, 2015, 2016, 2018   AP Exam Questions #6

 

Wrap-up          Final questions???

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