Statistics

AP Summer Institutes at Woodward Academy

June 4‐7

This course will deepen understanding of AP Statistics in a collaborative environment. Big ideas include exploring and visualizing one and two variable data, sampling and experimentation, probability, random variables, sampling distributions, and statistical inference via confidence intervals and significance tests. Simulation is used throughout to increase understanding. We will explore and engage the content through activities that can be implemented immediately in the classroom. Learning is supported with an introduction to graphing calculators. Old AP exam questions will be unpacked with a focus on the rubrics used to grade the questions. Participants are strongly encouraged to bring a graphing calculator.

About

Schedule

July 16‐19

This course is targeted at teachers new to AP Statistics.

Teachers interested in a more advanced course, click here or scroll down.

The word for the week is "variability." All our discussions will deal with its observation, description, control, measurement, and implications. During the week we will examine the four major content areas of the AP course, with discussions and explorations based on the experience, comfort level, interests, and needs of participants.

In addition, we will discuss teaching strategies and classroom details such as student projects, homework, quizzes, and grading. A good bit of time will be devoted to the AP exam, including its structure, how it is written, and how it is graded. We will examine the grading of the 2018 exam in depth.

Technology (calculators and laptops) will be used daily-for developing ways to help students understand difficult concepts, for finding answers, and for experiencing new developments in the practice and teaching of statistics. Class explorations will include hands-on activities (physical( in addition to calculator and computer investigations. Many of these explorations are ready for use with students, but some are intended primarily to prepare teachers to answer questions like, "Why do we do ___?" Simulation will play an important role throughout the week. Some of that simulation will be "high-tech" and some will be decidedly " low-tech" but all will be purposeful.

About

Schedule

Monday
  • Getting Started
    • Students
    • Local Support
    • Materials
    • College Board Support
    • Other Sites
    • Exam Structure
    • Homework and projects

      Opening activity - a little bit of everything
  • Exploring and Describing Univariate Data
    • Categorical vs. Numerical Data
    • Verbal Descriptions
    • Graphs and their properties
    • Summary statistics and their properties
    • Linear transformations

      Examples and scoring from AP Exams
  • Exploring On-Line Resources
    • AP Central
    • Course Audit
    • Electronic Discussion Group
Tuesday
  • Exploring and Describing Bivariate Data
    • Categorical vs Numerical variables
    • Verbal descriptions
    • Graphs and their properties
    • Residuals, summary statistics, and their properties
    • Linearizing transformations
    • Reading computer output (round 1)

      Examples and scoring from AP exams
  • Designing Sampling and Experimentation
    • the role of variability
    • observational studies and experiments
    • designing experiments
      • principles, methods, and properties
      • scope of inference
    • sampling
      • principles, methods, and properties
      • scope of inference

      Examples and scoring from AP exams
Wednesday
  • Anticipating Patterns
    • Probability - meaning and calculations
      • Theoretical principles
      • Computation tools - trees and tables
      • Conditional probability
        • Independent events
        • Independent variables
      • Simulating probabilities
    • Random Variables
      • Continuous and discrete
      • Summary measures
      • Combining random variables; summary measures
      • Special random variables and their measures
        • Bernoulli
        • Binomial
        • Geometric
        • Normal

        Examples and scoring from AP exams
    • Statistical Inference
      • Confidence intervals and hypothesis tests; duality
      • Underlying logic (models and simulation)
      • Sampling distributions and randomization distributions
        • Inference on proportions
        • The role of conditions
Thursday
  • Statistical Inference (continued)
    • Sampling distributions and randomization distributions (continued)
      • Central Limit Theorem
      • t-statistics
      • Behind the 10% Rule
      • Chi-square procedures
    • P-value and types of errors, significance, power, margin of error
    • Identifying appropriate procedures
    • Inference on Regression
      • Underlying model and simulation
      • Reading computer output (round 2)

      Examples and scoring from AP exams

July 16‐19

This session is targeted at experienced AP Statistics teachers.

I am looking forward to working with all of you and hope that you will leave feeling better prepared and re-energized about the opportunity to teach AP Statistics! In this workshop, we will investigate many of the "tough" topics in the AP Statistics course as well as some topics just beyond the AP curriculum. We will also spend quite a bit of time learning how to use Fathom in the classroom and reviewing the 2018 AP Exam Free-Response questions.

About

Schedule

Monday
  • Introduction
    • Overview of Workshop Schedule and Materials
    • Recent Developments in the AP Statistics program
    • Structure and Construction of AP Statistics Exam
    • Grading of the AP Statistics Exam
    • Teaching and Assessment Strategies
    • Preparing Students for the AP Exam
  • Collecting Data
    • Types of Sampling
    • Bias in Sampling
Tuesday
  • Collecting Data (continued)
    • Observational Studies
    • Experimental Design
    • Current and Previous AP Questions
    • Projects
  • Exploring Data
    • Univariate Data
    • Bivariate Data
    • Calculator and Computer Skills
    • Current and Previous AP Questions
Wednesday
  • Probability
    • Rules of Probability
    • Simulations
    • Random Variables
    • Calculator and Computer skills
    • Current and Previous AP Questions
    • Sampling Distributions
    • Calculator and Computer skills
    • Current and Previous AP Questions
Thursday
  • Inference
    • Confidence Intervals
    • Hypothesis Tests
    • Errors in Hypothesis Testing
    • Using Simulation for Inference
    • Calculator and Computer skills
    • Current and Previous AP Questions
    • Projects
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