AP Statistics

Transcription

1 AP Statistics Teacher: Mr. Carpenter Planning: 7 th Period Website: Text(s): 1. Starnes, D.S., Yates, D.S., & Moore, D.S (2012). The Practice of Statistics, Fourth Edition. New York: W.H. Freeman and Company. 2. Selections from other textbooks as needed will be provided as handouts. 3. Print circulation media newspapers, USA Today, Newsweek, etc. Daily Materials Textbook we will have a classroom set, so you do not need to bring yours to class writing utensils (pencil, black pen, colored pen for corrections) calculator TI 84 Plus. If you do not have one you may check one out for the year. 3 ring binder with 5 dividers spiral notebook Expectations: 1. You will be in class every day. Absences are inevitable, but understand that we will not be taking class time to make up for individual absences. You are responsible for the material that you miss and are expected to get the notes and/or assignments from a classmate or from the website. 2. You will attend the AP Exam prep sessions. We are still waiting on details on these, but there will be a mixture of Saturday morning (in person) sessions and webinars. 3. You will put in 100% effort while in class. 4. You will take the AP exam on May.. Grading Criteria: Homework these problems are considered practice. You will get completion grades for doing the work, provided that the effort you put in is evident. This is how we pinpoint what we need to work on and clarify ideas that may not have been clear during a lesson. All homework assignments will not be graded, but you will not be notified which ones will. Quiz Expect a quiz at the end of each section or main idea that covers the main ideas and the basic application of them. Test There will be a test at the end of each chapter and will ask that you can expand what you ve done on a quiz and use correct language as well as correct calculations. Projects There will be project each semester that requires you to go beyond what we re doing in class. These will be done largely on your own time. Nine Week Assessment Cumulative exam at the end of each nine week grading period. This will contain old AP questions and will be graded similarly to the exam. Grades will be broken down as follows: Homework/Graded Assignments 10% Quiz 30% Test/Project 40% Assessment 20%

2 Course Outline: The following is a tentative schedule of topics to be studied during each nine week term and basic objectives for each. First Nine Weeks Chapter / Topic Chapter 1: Exploring Data Students will Calculate descriptive statistics for given data such as mean, variance, standard deviation, quartiles / percentiles, etc. through algorithm and on the graphing calculator Display / communicate quantitative and qualitative data through graphical displays, to be done both by hand and on a graphing calculator(students will learn to do histograms, boxplots, and calculate summary statistics on their calculator) Read & interpret given descriptive statistics (calculated, computer output given in text, or on graphing calculator) or graphs of data in both verbal and written forms. Chapter 2: Modeling Distributions of Data In Class Project Chapter 4: Designing Studies Individual Project Chapter 5: Probability Identify basic data distribution patterns. Know the properties and applications of the normal and standard normal curve, use z-scores to transform data, and calculate area/percent of data within any given boundaries (or vice versa) using both the table of standard normal probabilities and normalcdf on the calculator. Univariate Helicopter Projection Use correct terminology to describe/discuss an experiment. Explain/describe the processes in designing an experiment such as randomization, replication, control, and blocking Discuss different probability samples including simple random, stratified, cluster, and systematic samples Discuss types of bias that may be associated with sample surveys Determine if a survey or experiment is misleading and discuss how or why it is so. Read, Analyze, & Compare recent published studies Student designed study proposals Find the probability of given event by looking at sample space or using addition or multiplication rules. Determine whether two events are independent of each other. Determine whether two events are mutually exclusive. Find probability using a two way table.

3 Chapter/Topic Chapter 6: Random Variables Chapter 7: Sampling Distributions Chapter 8: Estimating with Confidence Individual Project Second Nine Weeks Student will.. Find expected value of a random variable. Find the descriptive statistics of independent random variables. Identify the situation and find the probability, mean, & standard deviation of a binomial or geometric random variable by hand and on the calculator Use the normal curve to find percentages of a binomial distribution. Examine the type of distribution that multiple samples create. Use Rice onlinestatbook applet to investigate the sampling distribution of sample means. Use the Central Limit Theorem to make predictions about a population. Use calculator simulation to investigate the sampling distribution of sample proportions. Use normal approximation to find probabilities of. Calculate probabilities involving a sample mean if the distribution is normal using a table and on the calculator. Find and interpret confidence levels and confidence intervals for the population mean or proportion. Freeman applet for confidence intervals. Interpret confidence levels/intervals in context of a given situation. Determine critical values from a table and on the calculator, use these values in calculating confidence intervals for population proportions or means. Use calculator to compute confidence intervals for means and proportions. Student Designed Project Data Collection / Presentationiii

4 Chapter/Topics Chapter 9: Chapter 10: Chapter 3: Describing Relationships Third Nine Weeks Student will State correct null and alternate hypotheses for a significance test about a population mean or proportion. Interpret Type I and Type II errors in context, be able to give the consequence of each. Check conditions for and perform one and two-tailed significance tests for population mean or proportion, interpret results. Use calculator to perform significance tests for means and proportions. Describe characteristics of and find probabilities, confidence intervals, and significance tests with difference of means or difference of proportions. Use calculator to perform confidence intervals and significance tests for means and proportions. Make a scatterplot to show the relationship between two quantitative variables, describe in terms of direction, strength, outliers by hand Chapter/Topics Chapter 11: Inference for Distributions of Categorical Data Fourth Nine Weeks Student will Check conditions for using chi-square test. Use chi-square values to determine if null hypothesis in categorical data should be rejected. Learn to use the chi-square tests for homogeneity and association, and what they tell you about a random sample and its population. Students will learn to perform chi-square tests on their calculator and to read computer printout for chi square tests. Mock AP Exam Review for AP Exam Final (Continuous) Project All students will take a released exam from a previous year that will be graded by the rubric supplied by AP Central. Use released AP tests, old tests / quizzes, etc. to prepare for the exam. Watershed Project in `conjunction with AP Environmental Science iv Please note that this schedule is subject to change as we find that we may need more or less time on certain topics. i Students will use paper helicopters to collect data in small groups in order to calculate & analyze data which will be compiled as a class in order to discuss distribution of sample means. The final grade will be a combination of calculations and a written paper detailing their findings and the significance of their findings as compared to those of the class as a whole. ii Students will design a study, identify it as experimental or observational, plan an appropriate, detailed data collection method, state expected results / hypothesis, and write up a detailed formal proposal for their study. After proposals are returned, students

5 will have the remainder of the nine semester to carry out their planned study, the results of which are to be used and presented as a project for the 2nd nine weeks. iii Using the data from the study designed in the first grading period, the students will gather data in the method in their proposal, compute descriptive statistics (mean, standard deviation, etc.), create confidence intervals for the population, and present their results both verbally and as a formal paper. Students must relate not only the findings, but the significance of their study, and what, if any, abnormal results were found. iv Students will work in groups to gather data about different sites around the high school s property to determine watershed and the impact on the environment/natural habitats on the land. Data will be compiled throughout the year (specific sites and parameters to be determined by AP Environmental Science teacher) with the calculations and analysis of the findings to be done at the end of the year. Each group will present as a group, and turn in individual papers explaining their findings with an emphasis on properly communicating their findings.