Download AP Statistics Syllabus - Kenwood Academy High School

AP Statistics Course Outline 2011-2012
I. Exploring Data: Describing patterns and departures from patterns (20%–30%)
Chapter 1 – Exploring Data
Section
Outcomes/Objectives
Technology
1.1
Displaying
Distributions
w/Graphs
Construct and interpret graphical displays of distributions of univariate data
(dotplot, stemplot, histogram, cumulative frequency plot)
1. Center and spread
2. Clusters and gaps
3. Outliers and other unusual features
4. Shape
Compare distributions of univariate data (dotplots, back-to-back stemplots,
parallel boxplots)
1. Compare center and spread: within groups, between groups variation
2. Compare clusters and gaps
3. Compare outliers and other unusual features
4. Compare shapes
Technology: Finding
Calculator Histograms
on
TI-83/84
1.2
Describing
Distributions w/
Numbers
Summarize distributions of univariate data
1. Measuring center: median, mean
2. Measuring spread: range, interquartile range, standard deviation
3. Measuring position: quartiles, percentiles, standardized scores (z-scores)
4. Using boxplots
5. The effect of changing units on summary measures
Technology: Finding
Calculator boxplots,
mean, standard
deviation and five
number summary on
TI-83/84
Assignment/Project
Chapter Review
Test 1
Chapter 2 – The Normal Distribution
Section
Outcomes/Objectives
2.1
Density Curves and
the Normal
Distribution
2.2
Standard Normal
Calculations
Technology
Use a normal distribution as an approximation top the overall pattern of data.
1. Know properties of the normal distribution
Calculate specified areas under the normal curve.
1. Use a normal distribution table and calculator to calculate proportions of values
above, below and between two numbers.
2. Use a normal distribution table and calculator to calculate the point having a stated
proportions of values above and below it
Technology: Normal
Probability Plots, area,
and z values on TI83/84
Assignment/Project
Chapter Review
Test 2
Chapter 4 –
Section
4.2
Cautions about
Correlation and
Regression
4.3
Relations in
Categorical Data
Outcomes/Objectives
Technology
Assignment/Project
Interpret correlation and regression
1. Understand the effects of extreme observations
2. Recognize lurking variables
3. Understand the difference between a strong correlation and cause-and-effect
relationships
Recognize relationships in categorical data
1. Construct frequency tables and bar charts
2. Find marginal and joint frequencies for two-way tables
3. Describe the relationship between two categorical variables by computing and
comparing percents
4. Compare distributions using bar charts
Chapter Review
Test 4
II. Sampling and Experimentation: Planning and conducting a study (10%–15%)
Chapter 5 – Producing Data
Section
Outcomes/Objectives
5.1
Designing Samples
Know methods of data collection
1. Census
2. Sample survey
3. Experiment
4. Observational study
Plan and conduct surveys
1. Know characteristics of a well-designed and well-conducted survey
2. Use random tables or random digits to select a simple random sample (SRS)
3. Recognize sources of bias in sampling and surveys
4. Sampling methods, including simple random sampling, stratified random
sampling, and cluster sampling
Generalize results and types of conclusions that can be drawn from
observational studies, experiments, and surveys
Technology
Assignment/Project
5.2
Designing
Experiments
Plan and conduct experiments
1. Know characteristics of a well-designed and well-conducted experiment
2. Outline a completely randomized design (including treatments, control groups,
experimental units, random assignments, and replication)
3. Recognize sources of bias and confounding, including placebo effect and blinding
Generalize results and types of conclusions that can be drawn from observational
studies, experiments, and surveys
5.3
Simulating
Experiments
Construct and run a simulation
Chapter Review
Test 5
III. Anticipating Patterns: Exploring random phenomena using probability and simulation (20%–30%)
Chapter 6 – Probability
Section
Outcomes/Objectives
6.1
The Idea of
Probability
6.2
Probability Models
Calculate the probability of random events
1. Interpret probability, including long-run relative frequency interpretation
6.3
General Probability
Rules
Use probability rules to compute probability of events
1. Use general addition rule, multiplication rule, conditional probability rules, and
independence to find probability of events
Technology
Assignment/Project
Technology
Assignment/Project
Know probability rules and be able to apply them to determine probabilities of
defined events
1. Use addition rule, multiplication rule to find probability of events
2. Understand independence versus dependence
Chapter Review
Test 6
Chapter 7 – Random variables
Section
Outcomes/Objectives
7.1
Discrete and
Recognize and define discrete and continuous random variables
1.Construct a probability distribution table and a probability histogram for the random
Continuous
Random Variables
variable
2. Determine probabilities of events as areas under density curves
7.2
Means and
Variances of
Random Variables
Combine independent random variables
1. Calculate the mean and variance of a discrete random variable
2. Use simulation methods and the law of large numbers to approximate the mean of a
distribution
3. Use rules for means and variances to solve problems involving sums, differences, and
linear combinations of random variables
Chapter Review
Test 7
Chapter 8 – The Binomial and Geometric Distributions
Section
Outcomes/Objectives
Technology
8.1
The Binomial
Distributions
Calculate probability of binomial random variables
1. Identify a random variable as binomial by verifying four conditions
2. Use calculator or formula to determine binomial probabilities and construct probability
distribution tables and histograms
3. Calculate cumulative distribution functions and construct cumulative distribution
tables and histograms
4. Calculate means and standard deviations of binomial random variables.
5. Use a normal approximation to the binomial distribution to compute probabilities
Technology: Binomial
distributions on TI-83/84
8.2
The Geometric
Distributions
Calculate probability of geometric random variables
1. Identify a random variable as geometric by verifying four conditions
2. Use calculator or formula to determine geometric probabilities and construct
probability distribution tables and histograms
3. Calculate cumulative distribution functions and construct cumulative distribution
tables and histograms
4. Calculate means and standard deviations of geometric random variables.
Technology: Geometric
Distributions on TI83/84
Assignment/Project
Chapter Review
Test 8
IV. Statistical Inference: Estimating population parameters and testing hypotheses (30%–40%)
Chapter 9 –Sampling Distributions
Section
Outcomes/Objectives
9.1
Sampling
Distributions
9.2
Sample Proportions
9.3
Sample Means
Technology
Assignment/Project
Sampling distributions
1. Identify parameters and statistics in a sample or experiment
2. Interpret a sampling distribution
3. Describe the bias and variability of a statistic in terms of the mean and spread of its
sampling distribution
Sampling distributions
1. Recognize when a problem involves a sample proportion
2. Find the mean and standard deviation of the sampling distribution of a sample
proportion
Sampling distributions
1. Recognize when a problem involves a sample mean
2. Find the mean and standard deviation of the sampling distribution of a sample mean
Chapter Review
Test 9
Semester 1 Exam
Chapter 3 – Examining Relationships
Section
Outcomes/Objectives
Technology
3.1
Scatterplots
Explore bivariate data
1. Construct scatterplots
2. Analyze patterns in scatterplots
Technology:
Scatterplots on TI-83/84
3.2
Correlation
Explore bivariate data
1. Know properties of and calculate the correlation between two quantitative variables
Technology: Finding
LSRL on TI-83/84
3.3
Least-Squares
Regression
Explore bivariate data
1. Find the least-squares regression line
2. Find slope and intercept of LSRL.
3. Use regression line to make predictions
4. Use coefficient of determination to describe how much of the variation in one variable
can be accounted for by a straight-line relationship with another variable.
5. Calculate the residuals and recognize outliers and influential points
Technology: Finding
Residuals on TI-83/84
Chapter Review
Test 3
Assignment/Project
4.1
Transforming
Relationships
Model nonlinear data
1. Use transformations to achieve linearity: logarithmic
and power transformations