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Statistics

Michael Legacy

Michael is a past member of the AP Statistics Development Committee (2001-2005) and a current Table Leader for the Operational Exam.  He for many years was a Table Leader for the Alternate and Overseas Exams.  He has been a lead teacher at many AP Summer Institutes over the past twenty-one years and is a frequent presenter at College Board conferences.  Last year, he lead four online and one in-person APSIs. Michael was the statistics content editor for the series, Laying the Foundation: Connecting to AP Mathematics funded by the O’Donnell Foundation.  He was also the author of the 2007 College Board AP Statistics Teacher’s Guide available on the College board website.  He has also authored the AP-style multiple-choice and free-response cumulative review sections for The Practice of Statistics for AP* 4e, 5e, and 6e editions as well as the Prep for the AP Exam Guide 4e.  Michael also authored the practice exams for the Strive for a 5 Guide (Molesky/Legacy) to accompany TPS 5e and TPS 6e and was a reviewer of Josh Tabor’s Annotated Teacher’s Edition for TPS 5e.

In February 2010, Michael was honored by the Siemens Corporation as the Texas AP Math/Science Teacher of the year.  He served as an AP statistics consultant to Pasadena ISD (TX) for 2010-12 under the auspices of the National Math + Science Initiative and then filled the same role for Carrollton-Farmers Branch ISD (TX) and Birdville ISD (TX).  Michael recently retired after 47 years of teaching and for the past twenty of those years taught AP Statistics and Honors Precalculus at Greenhill School in Addison, Texas.

Course Description

While this course is designed primarily for new teachers in AP Statistics, experienced teachers will find many useful things to take back to their classrooms.   Much of the week will be devoted to experimental design, correlation and regression, probability models, and inference.  We will discuss how to organize the course and how to use technology, simulation and data-gathering activities.  Time will be spent working with activities and simulations as a building block for the course.  Links to websites and handouts will be available through Drop Box.  There will be time to work in groups throughout the week of July 18 – 21, 2022 with hours tentatively 8:00 – 4:45.  See the San Gabriel website for exact times.  

Time will be devoted to the new Course and Exam Description Binder (CED) and AP Classroom – the source for Personal Progress Checks and the AP Question Bank.  In addition to the handout binder for the week, participants will be able to download a large set of folders from Blackboard and Drop Box, which will be loaded with lessons, worksheets/handouts, class note sheets, AP practice sets, projects, and activities. Participants will learn about the AP Exam grading process by working through selected questions, rubrics, and the grading of student responses.  Participants are asked to have a graphing calculator with statistical capabilities as well as a laptop and their current textbook available if they have one.

What Participants Should Bring

  • Graphing calculator, with statistical capabilities, if possible. TI-84 recommended
  • Laptop, recommended
  • Current textbook, if you have one

NOTE: Quite a few calculator programs useful for demonstrating concepts will be shared. The programs are all loaded on a TI-83 silver Edition, so participants should bring a machine (at least a TI-84) that would be compatible for sharing these programs.

Agenda

Day 1
  • Introductions
  • Overview of AP Stat
  • Getting Started
    • Resources
    • Textbooks
    • Calendars
  • AP Audit
  • Curriculum Framework
  • CED (1 hour)
  • Units and Topics (1hr)
  • AP Classroom Intro (1hr)
  • Strategies and pedagogical tools incorporated throughout the instructional week
  • Elementary Data Analysis (EDA)
  • Correlation, regression, residuals, r and r2
  • Reading Computer output
Day 2
  • Random Sampling
  • Experimental Design & AP Problems
  • Probability
  • Simulations
  • Random Variables
  • Probability Distributions

Time allowed to discuss and share various activities for data gathering and demos used in the classroom.

Day 3
  • Rice Virtual Lab (1 hour)
  • Website Exploration (1 hour)
  • AP Classroom: Lesson Planning time (2 hours)
  • CLT and Confidence intervals
  • CLT and Confidence intervals
  • One-sample hypothesis tests and p-values
  • [Globe Tossing]
  • Conditions for Hypothesis
  • Tests
Day 4
  • Type I/II errors and Power of a Test
  • Two-sample tests
  • Chi-Square
  • About the AP exam
  • Hints reminders
  • Chi-Square
  • About the AP exam
  • Hints reminders
  • Providing assessment and feedback
  • Instructional Planning reports and how to use them (30min)