MAZ6110T: APStat+ (2014-2015)
CURRICULUM PROGRAM: Virtual School Program
COURSE TITLE: AP Statistics
CALENDAR YEAR: 2014-2015
GRADE LEVEL: 11-12
COURSE LENGTH: 36 weeks
SUGGESTED PREPARATION: Algebra I, Algebra II
AP Statistics provides a systematic development of the concepts, principles, and tools of statistics with an emphasis on inquiry and critical-thinking skills associated with the collection, representation, analysis, and drawing conclusions from authentic data. Technology is a central component of the course and includes the use of graphing calculators, computers, and data analysis software. The College Board requires the use of graphing calculators for this course.
Though our system has an open enrollment policy, students should understand that this course is designed to be a fourth-year mathematics course, and the equivalent of an introductory, one-semester, non-calculus-based, college-level statistics course. The course requires a working knowledge of Algebra II, and quantitative reasoning. Teaching strategies include collaborative small-group work, pairs engaged in data analysis, whole-group presentations, peer-to-peer discussions, and an integration of technology when appropriate. All aspects of progress in the course are measured using multiple methods such as authentic, performance, observational, and assessment for learning (formative); group and individual projects, student presentations, and assessment of learning (summative). Students are expected to take the AP Statistics Exam at the end of this course.
AP Statistics is a college-level course which differs from a high school statistics course in terms of depth of coverage and time commitments for study. The content is organized to emphasize major topics which include the following: (1) data investigation, (2) designing and conducting studies, (3) anticipating patterns using probability and simulations, and (4) statistical inference. These topics are detailed in the AP Statistics course description, which is available at AP Central.
DoDEA Math Standards
As a result of successfully completing this course, you will:
- Develop statistical thinking based on a conceptual understanding of major topics and tools of data collection, representation, analysis, inference, and conclusions.
- Analyze and interpret data from graphical displays and numerical distribution summaries, and justify conclusions.
- Employ the language and symbols of statistics, and effectively communicate the formulation of questions, data collection methods and displays, interpretation of statistical analysis, and evaluation of inferences and predictions based on the data.
- Use probability as a tool to predict how the distribution of data is related to an appropriate mathematical model.
- Develop an understanding of statistical inference through the use of confidence intervals and tests of significance.
- Use graphing calculators and computers in the exploration, statistical analysis, simulation, and modeling of data.
- Make sense of and evaluate the reasonableness of conclusions based on data.
- Develop an appreciation for an historical perspective of statistics
- Construct and interpret graphs of distributions of univariate data
- Summarize distributions of univariate data (Shape, Outliers, Center, Spread)
- Compare distributions (dotplots, back to back stemplots, parallel boxplots)
- Understand the properties of the Normal Distribution
- Use the Normal Distribution (tables and with technology)
- Analyze and describe patterns in scatterplots
- Calculate and describe the correlation, coefficient of determination and least squares regression line for bivariate data
- Calculate and interpret residual plots
- Identify outliers and influential points for bivariate data
- Describe the characteristics of a well-designed and well conducted survey
- Identify sources of bias in sampling and surveys
- Identify different methods of sampling
- Describe the characteristics of a well-designed and well conducted experiment
- Explain critical vocabulary terms within the context of an experiment
- Identify different experimental designs along with their strengths/weaknesses
- Interpret probability as well as the Law of Large Numbers
- Use the addition, multiplication, and conditional probability rules
- Describe and conduct simulations
- Construct and utilize tree diagrams and Venn diagrams
- Identify and distinguish between a discrete and continuous random variable
- Work with the binomial and geometric distributions
- Combine independent random variables
- Transform random variables
- Describe a sampling distribution
- Distinguish between a parameter and statistic
- Perform calculations with a sampling distribution of proportions and means
- Understand the central limit theorem and its role within sampling distributions
- Describe the concept of a confidence interval being used to estimate a parameter
- Work with the t distribution
- Calculate and describe confidence intervals used to estimate proportions
- Calculate and describe confidence intervals used to estimate means
- Describe the basic philosophy underlying a test of significance
- Conduct a test of significance about a population proportion
- Conduct a test of significance about a population mean
- Compare two proportions using a test of significance or confidence interval
- Compare two means using a test of significance or confidence interval
- Perform 3 tests of significance using the Chi-Square Distribution
- Perform transformations to achieve linearity in non-linear data
- Conduct a test of significance on a linear regression model
- Construct and interpret a confidence interval for linear regression parameters
There is no textbook required for this course. All instructional content is available online within the course.
For reference purposes:
- Online Statistics Education: A Multimedia Course of Study.
- Project Leader: David M. Lane, Rice University
- Bock, David E.; Paul F. Velleman; Richard D. De Veaux (2010).
- Stats: Modeling the World (3 ed.).
- Pearson/Addison-Wesley/Prentice-Hall. Retrieved 2010-02-18.
Graphing calculators are required by the College Board. Students may use any approved model; most use the TI-83+ or TI-89
Course Notes: Weighted - Must Take AP Exam