Math Department James Reilly Probability and Statistics Syllabus 2015-2016 Welcome to Probability and Statistics Probability and Statistics Course Description: Probability and Statistics is a year-long course designed to introduce the methods used in the field of applied statistics. Emphasis is given to basic concepts and techniques for collecting and analyzing data, drawing conclusions, and making predictions. The major focus of this course is to provide students with experience in using the computer to solve problems which can be set up as mathematical models. In Prob/Stat this year the student will be able to: 1. Demonstrate the concept of randomness and simulation as it relates to experiment designs. 2. Generate and represent data using graphical displays. 3. Describe data and distributions using measurements of central tendency, variation, and positioning. 4. Demonstrate ability to understand and calculate simple probability. 5. Demonstrate ability to use the formulas for permutations, combinations, and individual and compound events to solve problems in counting theory. 6. Demonstrate ability to construct and calculate probabilities associated with distributions of random variables and probability functions based on these variables. 7. Demonstrate ability to work with the normal distribution as it relates to a continuous variable. 8. Demonstrate understanding of Central Limit theorem as it applies to a sampling distribution. 9. Demonstrate the ability to construct a confidence interval for a population parameter. 10. Demonstrate the ability to use hypothesis testing to a test claim about a population. 11. Demonstrate the ability to use and analyze simple linear regression for bivariate data. 12. Demonstrate the ability to apply Chi-square distributions to contingency tables. 13. Apply statistical concepts learned to an individual cumulative project. Supplies Needed: 1. 1” three ring binder 2. Paper 3. Pencils/Ink Pen/Expo markers 4. TI-83+ or TI -84 graphing calculator or equivalent 5. Flash Drive Grading: Grading for each nine week period will be based on tests, project, quizzes, graded assignments, class work, and homework. Class Work/Homework 10% Quizzes 30% Graded Assignments 20% Tests/Projects 40% Expectations: 1. Students are required to behave in a mature manner at all times. Classroom courtesy and respect will serve as our guide for the classroom. During class, students are required to work! 2. Students are to bring required materials to class each day. Required materials include textbook, homework, notebook with contents, graphing calculator, pencil, ink pen, and Expo marker. 3. Homework will be assigned every day. 4. The tardy bell signals the beginning of class. The student should be in his /her assigned seat. 5. It is the responsibility of the student to maintain the cleanliness of the student desk and work area. 6. Snacks, gum and drinks are not allowed in the classroom. Only clear water will be allowed in classroom. 7. Restroom passes will be issued for emergencies only. 8. Class ends upon teacher dismissal. 9. All students are to make up assignments missed when absent or tardy. Make-up work must be completed according to school policy. It is the responsibility of the student to meet with the teacher to arrange for make-up work. 10. Cell phones and similar electronic devices are not to be used without teacher permission. 11. Students are expected to follow the guidelines established by the KWHS Code of Honor and Integrity. Course Outline: Dates are subject to change. Please refer to the school calendar and pacing guides online. 1st 9-weeks (Q1) Demonstrate knowledge of statistical terms, types of data, and identify variables. List steps necessary for collection of data Identify the methods of sampling; random, systematic, stratified, and cluster Interpret and Apply graphical displays of data Calculate and use the measures of Central Tendency, Dispersion, and Measures of Position Important Dates: Nov 3rd (no school) Nov 9th (early dismissal – end of Q1) Interims: Oct. 7th/8th 2nd 9-Weeks (Q2) Introduce Probability 3rd 9-Weeks (Q3) Identify Sampling Methods Computer Permutations and Combinations Define and Apply definitions used in Hypothesis Testing Probability of Compound Events Use the z-test to test large sample means Construct and Find Standard Deviation of Distributions Use the t-test to test small sample means Compute Mean for Binomial Distribution Use the chi-square test to test variance and standard deviation 4th 9-Weeks (Q4) Calculate Correlation Coefficient Calculate equation of the regression line Test for goodness of fit using Chisquare Test two variables for independence using chi-square Test hypothesis using various methods Design and Conduct an experiment Construct and Interpret Confidence Intervals Nov 19th Parent conferences (early dismissal) Nov 25-27th (no school) Dec 19th (early dismissal) Dec 21st – Jan 1st (no school) Jan 18th (no school) Exams Jan 25th – 28th Jan 28th (end Q2) Jan 28th (end S1) Jan 29th (no school) Feb 1st – S2 starts Feb 15th (no school) Mar 2nd (early dismissal) Mar 28th - Apr 1st (no school) April 8th (early dismissal - end of Q3) Dec. 14th/15th Mar 3rd/4th May 27th (early dismissal) May 30th (no school) June 10th (end Q4) Exams June 13th - 16th June 17th (end S2) May 11th/12th Student’s Name: _______________________________________________________________________ Please Print I have read the syllabus for the course listed above, and I understand and will comply with its contents. __________________________________________ Student’s Signature ___________ Date PARENT/GUARDIAN: I have read this syllabus and will expect my son/daughter to comply with its contents. __________________________________________ Parent’s Signature ____________ Date Please place this syllabus in your notebook for reference I am available for student/parent conferences, make-up work, or additional help before or after school. Please call me at 804-769-3434 or e-mail me at jreilly@kwcps.k12.va.us whenever I can be of assistance to you. “Preparing lifelong learners in a demanding and safe learning environment”