Download Teacher: Bill Snyder Godinez Fundamental High School Santa Ana

Teacher:
Bill Snyder
Godinez Fundamental High School
Santa Ana Unified School District
2011-12
AP Statistics Syllabus
Textbooks:
Primary: “The Practice of Statistics” Daniel Yates, David Moore, Daren
Starnes; Third edition W.H. Freeman 2008.
Printed Test Bank and Resource Guide: “The Practice of Statistics,
Golden Resource Binder” Daniel Yates, Daren Starnes; Second
edition W.H. Freeman 2008.
Technology:
All students own or have access to a TI-83 or TI-84 family calculator for
use in class or at home.
All students have access to computer applications and are taught how to
read computer output.
Course Description:
The course is arranged by units: Organizing Data, Producing Data,
Probability and Inference.
Unit 1
Analyzing Data: Looking for Patterns and
Departures from Patterns
Chapter P
What is Statistics? (5 days: Week 0)
Definition of Statistics
Data Collection
Categorical and Quantitative Data
Chapter 1
Exploring Data (10 days: Weeks 1 and 2)
Displaying data
Histograms, stemplots, using TI-83/84 to make histograms
Describing distributions – shape, center, spread, outliers
Measures of center
Five number summary and boxplots, using TI to make boxplots
Cumulative frequency graphs
Time graphs
Chapter 2
Describing Location in a Distribution (9 days: Weeks 3 and 4)
Z-Scores and Percentile Ranks
Density Curves
Activity – Normal Models
Normal Distributions and 68-95-99.7 rule
Assessing Normality, using TI-83/84 to make Normal probability plots
Standard Normal Calculations
Chapter 3
Examining Relationships (11 days: Weeks 4,5, and 6)
Making and describing scatterplots, using TI-83/84 to make scatterplots
Correlation coefficients
Describing linear relationships – shape, strength, direction
Activity – SAT/ACT Scores
Least squares regression line
Residual plots, using TI-83/84 to study residual plots
Coefficient of Determination
Outliers and influential points
Chapter 4
More on Two-Variable Data (11 days: Weeks 7,8,9)
Transforming relationships
Exponential growth model
Power law model
Simpson’s Paradox
Using TI-83/84 to evaluate different models
Causation, common response, confounding
Activity – Choosing a proper model
Two-way tables, marginal and conditional distributions
Activity – Modeling the spread of cancer
Unit 2
Producing Data: Surveys, Observational Studies, and
Experiments
Chapter 5
Producing Data (11 days: Weeks 9,10,11)
Activity – Class Survey
Observational studies
Designing samples
Cautions in surveys, bias in sampling
Designing experiments
Randomized experimental design
Blocking and matched pair experiments
Simulation, using TI-83/84 to simulate experiments
Unit 3
Probability and Random Variables: Foundations of Inference
Chapter 6
Probability: The Study of Randomness (13 days: Weeks 11,12,and 13)
The idea of probability
Probability models
Probability rules
Disjoint events
Independent events
Conditional probabilities
Casino Lab Part 1
Estimating probabilities using TI-83/84 simulations
Activity – The Birthday Problem
Chapter 7
Random Variables (9 days: Weeks 14 and 15)
Discrete and continuous random variables
Probability distributions
Mean and standard deviation calculations for probability distributions
Activity – Coin Flip
Activity – The game of craps
Casino Lab Part 2
Rules for adding and subtracting means and variances
Law of large numbers
Chapter 8
The Binomial and Geometric Distributions (9 days: Weeks 16 and 17)
Binomial distributions
Binomial calculations, using TI-83/84 procedures
Mean and variance for binomial distributions
Normal approximation to the binomial distribution
Geometric Distributions
Calculating geometric probabilities
Semester Finals (4 days: Week 18/Finals Week)
Chapter 9
Sampling Distributions (10 days: Weeks 19, 20)
Sampling Distributions
Activity – Random Rectangles
Sampling distributions for proportions
Sample distributions for means
Activity – Sampling Distribution for the Age of a Penny
Central Limit Theorem
Unit 4
Inference: Conclusions with Confidence
Chapter 10
Estimating with Confidence (10 days: Week 21 and 22)
Confidence intervals for pop. Mean and pop. Proportion.
Margin of Error
Determining a Sample Size
Conditions to Construct Confidence intervals
Activity – Confidence Intervals for M & M’s
TI 83/84 Confidence Interval Procedures
Constructing one and two sample t Confidence Intervals
Standard error
Chapter 11
Testing a Claim (13 days: Weeks 23, 24, 25)
Inference for population means, use of computer printout
Hypothesis/Significance testing
Comparison of 2 sided significance tests and confidence intervals
Type 1 and Type 11 errors in hypothesis testing
Power of a Test
Chapter 12
Significance Tests in Practice (8 days: Weeks 25 and 26)
One-Sample and Paired Data t significance tests
Significance Test for a population proportion
Activity- Hack-a-Shaq
Activity- Make your Claim
Chapter 13
Comparing Two Population Parameters (9 days: Weeks 26 and 27)
Constructing Confidence Interval for the difference between 2 population means and 2
population proportions
Reading Computer output
Performing a significance test for the above conditions
Activity: Paper Airplane Experiment
Chapter 14
Inference for Distributions of Categorical Variables: Chi Square Procedures (9
days: Weeks 28 and 29)
Chi-Square Goodness of Fit test
Conditional Distributions
Test for homogeneity of populations
Test for association/independence
Use T1 83/84 to conduct Chi Square Test
Chapter 15 (5 days: Weeks 30)
Inference for Regression
Confidence interval for slope
Residuals and standard error, reading computer output
Hypothesis testing for slope
Predictions and conditions for linear regression
Using residual plots
Activity – Height vs. Shoe Size
Review for AP Exam (10 days: Weeks 31 and 32)
Review multiple choice questions
Review free response questions
Practice test 2002 exam
Grading practice exam
Post AP Exam
Chapter A
Analysis of Variance (10 days: Weeks 33 and 34)
Activity – Paper Airplane Design, continued
Inference for spread
One-way Analysis of Variance, reading computer printout
Activity – Comparing Classes Alphabetically
Second Semester Project (9 days: Weeks 35 and 36)
Students will conduct a survey, experiment of simulation and use an inference
procedure for analyzing the significance of their results. They may work in groups
of no more than 3. Each group turns in a written proposal, once the proposal is
accepted, students will collect their data. The written portion of this project
includes graphical displays and statistical summaries as well as interpretation and
conclusion. An oral presentation is given in which all members must participate;
they show their displays, explain what they did and discuss their conclusions