STATISTICS (1 credit)
Prerequisites: Algebra II (grade of C- or above) This course can be taken concurrently with precalculus I, precalculus II, or advanced placement calculus.
*Required Materials: TI-83+ graphics calculator, straight edge, 3-ring binder with loose-leaf paper
This course is an introduction to the concepts needed in many careers and everyday life. The course can be especially valuable to those intending a career not only in mathematics, but also business, economics, sociology, physical sciences and medicine. Collecting, representing and processing data are activities of major importance to contemporary society. In the natural and social sciences, data are also summarized, analyzed and transformed. A TI-83+ graphics calculator can be contracted out to the student for the duration of the course. As long as the calculator is returned in working order with a package of 4AAA batteries, there is no cost to the student for the use of the calculator.
ADVANCED PLACEMENT STATISTICS (1 credit)
Prerequisites: Algebra II (grade of C- or above) This course can be taken concurrently with precalculus I, precalculus II, or advanced placement calculus.
* Required Materials: TI-83+ graphics calculator, straight edge, 3-ring binder with loose-leaf paper
The curriculum that is covered is that specified by the College Board for the advanced placement exam. The purpose of the class is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The curriculum includes four general themes: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students who earn a 3 or more on a 5-point scale on the advanced placement exam have the opportunity to earn college credit. A TI-83+ graphics calculator can be contracted out to the student for the duration of the course. As long as the calculator is returned in working order with a package of 4 AAA batteries, there is no cost to the student for the use of the calculator.
The classes will be taught in the same classroom at the same time. AP students will be expected to do projects for each class along with extra sections of the book.
Course Guidelines
Chapter Descriptions: (Time spent on each chapter varies depending on abilities of class)
Chapter 1: The Role of Statistics and the Data Analysis Process
This chapter is just a background to basics of statistics
Chapter 2: Collecting Data
This chapter distinguishes between observational studies and experiments, different types of bias, and types of sampling, and concepts in experimental design
Chapter 3:Graphical Methods for Describing Data
This chapter teaches students how to create and interpret graphs for numerical and categorical data
Chapter 4: Numerical Methods for Describing Data
This chapter focuses on the different numerical methods (mean, variance, standard deviation) for describing data
Chapter 5: Summarizing Bivariate Data
This chapter focuses on computing correlation, least-squares regression line, and coefficient of variation. Students will also understand when linear regression is an appropriate choice and if not how to transform the data
Chapter 6: Probability
Students will be able to identify sample spaces and interpret probabilities.
Chapter 7: Random Variables and Probability Distributions
This chapter will focus on calculating probability distributions for continuous and discrete random variables
Chapter 8: Sampling Variability
Chapter 9: Estimation Using a Single Sample
Chapter 10: Hypothesis Testing Using a Single Sample
Chapter 11: Comparing Two Populations or Treatments
Chapter 12: The Analysis of Categorical Data and Goodness-of-Fit
Chapter 13: Simple Linear regression and Correlation; Inferential Methods
Chapter 14: Mulitple Regression Analysis (AP only)
Chapter 15: Analysis of Variance (AP only)