Hanford Joint Union High School
DISTRICT CURRICULUM GUIDE
I. COURSE NAME: Grade Level: Prerequisite: Duration:
AP Statistics Junior/Senior Completion of Algebra 2 with a “C” or better 2 Semesters
II. COURSE DESCRIPTION This is an Advanced Placement math class in Statistics. The topics for AP Statistics are divided into four major themes; Exploratory Analysis, planning a study, probability, and statistical inference. Students will use exploratory analysis of data to make use of graphical and numerical techniques to study patterns and departures from patterns. They must collect data according to a well-developed plan if information on a conjecture is to be obtained. Students will use probability, as that tool used for anticipating what the distribution of data should look like under a given model. They will see how statistical inference guides them with the selection of appropriate models. The skills (Performance Indicators) are: problems solving, problem solving skills to real world situations; using Mathematical language appropriately; communicating the relationship among an equation and it’s graph; using correct Mathematical symbols; validating mathematical solutions; applying Mathematics to Physics, Chemistry, and Biology; modeling real world situations with Statistical Information; learning linear programming to aid with Statistical information; proper use of a variation of Distributions; designing Statistical samples, and a simulation of experiments; the Study of Randomness in relation to Probability; Binomial and Geometric Distributions; and the Study of Inference.
III. CENTRAL INTELLECTUAL PURPOSE Communications Reading Students are reading on a daily basis in the text, as well as reading and comprehending of the problems are asking Writing Analysis of statistical data, and ability to explain basic information about Formal reports of results discovered about experiments or samples. Note taking. Class/group of statistical studies with written presentations. the data.
Speaking Class/group presentations of studies to other classes and administration. Daily class interaction. Critical Thinking/Problem Solving Comprehension of problem solving skills and their applications to real world situations. Ability to properly decipher which Statistical formula to use for each problem.
Research Utilizing various sources of information from library, computer networks, and also performing their own Statistical study. Technology Application of technology: graphing calculators, Internet use for research, and use of Minitab Software program. Ethics Knowledge of and adherence to school/classroom rules, with particular emphasis on honesty policy, respect for others. Attentiveness, constructive use of class time. Diligence in daily assigned work and projects.
IV. CONTENT/TIMELINE/ PERFORMANCE STANDARDS See MCAD performance Indicator Statistics Guidelines Adherence to Advanced Placement/College Board
First Six Weeks Chapters 1 and 2 Chapter 1 – Exploring Data 15 days Displaying Distributions with Graphs Describing Distributions with Numbers Chapter 2 – The Normal Distributions 9 days Density Curves and the Normal Distributions Standard Normal Calculations
Second Six Weeks Chapters 3 and 4 Chapter 3 – Examining Relationships 12 days Scatterplots Correlation Least-Squares Regression Chapter 4 – More on Two-Variable Data 13 days Modeling Nonlinear Relationships Interpreting Correlation and Regression Relations in Categorical Data
Third Six Weeks Chapters 5, 6, and 7 Chapter 5 – Producing Data: Samples and Experiments 13 days Designing Experiments Simulating Experiments Chapter 6 – Probability: The Study of Randomness 12 days Models More About Probability Chapter 7 – Random Variables 10 days Discrete and Continuous Random Variables Means and Variances of Random Variables
Designing Samples
Randomness
Probability
First Six Weeks Chapters 8, 9, and 10 Chapter 8 – The Binomial and Geometric Distributions 8 days The Geometric Distributions Chapter 9 – Sampling Distributions 10 days Sampling Distributions Sample Proportions Sample Mean Chapter 10 – Introduction to Inference 17 days Estimating with Confidence Tests of Significance Using Significance Tests Inference as a Decision
The Binomial Distributions
Second Six Weeks Chapters 11, 12, and 13 Chapter 11 – Inference for Distributions 10 days Inference for the Mean of Population Comparing Two Means Chapter 12 – Inference for Proportions 8 days Inference for a Population Proportion Comparing Two Proportions Chapter 13 – Inference for Tables: Chi-Square Procedures 9 days Test for Goodness of Fit Inference for Two-Way Table
Third Six Weeks Chapters 14, 15 and AP STATS Test Chapter 14 – Inference for Regression 7 days Inference About the Model Inference About the Prediction Checking the Regression Assumptions AP Statistics Test – May 8 12 days Comprehensive Review for AP Test Chapter 15 – Analysis of Variance 10 days Inference for Population Spread One-Way Analysis of Variance
V. STUDENT ASSESSMENT Teacher generated quizzes and tests Publisher generated quizzes and tests AP Statistics Exam VI. INSTRUCTIONAL TECHNOLOGIES AND MATERIALS / SOFTWARE The designated textbooks, materials and technologies meet the state standards for this content area. A. Primary text: The Practice Of Statistics; TI-83 Graphing Calculator Enhanced: Daniel Yates, David Moore, George McCabe; Publisher: Freeman B. C. Software Programs: MINITAB Statistical Software Fathom Dynamic Statistics Software
Teacher/student resources: TI-83 Graphing Calculator Internet web sites Bureau of Census: http://www.census.gov/ USA Counties on the Web: http://govinfo.kerr.orst.edu/usaco-stateis.html Texas Instruments: http://www.ti.com/calc The College Board: http://www.collegeboard.org/ Subject Matter Resources: Kings County Office of Education http://www.kings.k12.ca.us/kcoe/curric TeachNet (Teacher-designed projects and activities by subject) http://www.teachnet.org/docs.cfm VII. TEACHING ACTIVITIES AND METHODS TO FACILITATE THE INSTRUCTION OF
MATHEMATICS CONTENT STANDARDS FOR ALL LEARNING STYLES
Student activities suggested below are derived from Gardner’s Seven Levels of Intelligence (learning styles) and correspond with lessons in the primary text, The Practice of Statistics; TI-83 Graphing Calculator Enhanced.
LINGUISTIC LEARNER creative writing oral reports essays
LOGICAL/MATHEMATICAL LEARNER graphic organizers timeline prediction exercises models computer project science experiments
SPATIAL LEARNER maps and flow charts displays
BODILY-KINESTHETIC LEARNER experiments
INTERPERSONAL LEARNER discussions cooperative and collaborative projects peer coaching conducting interviews simulation activities INTRAPERSONAL LEARNER response journals/learning logs observations autobiographical stories