AP Statistics Course Description The purpose of teaching AP

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AP Statistics

Course Description

The purpose of teaching AP Statistics is to enable students to develop a greater understanding of mathematical concepts. In this course, instruction will vary between activities and lecture. Majority of the time will be on activities in pairs or groups.

Students will work together in small groups to discuss topics pertaining to inferences they will be making. Students should already be familiar with graphing calculators preferably TI-84 Plus or TI-84 Plus Silver Edition. Students will have access to these in the classroom but are advised to purchase one on their own. Students are using graphing calculators to enhance development of statistical understanding through performing simulations. Students will be using the graphing calculators and Fathom to explore and enhance understanding by assessing models and analyzing data. Students will be taught using the textbook, lectures, videos, Fathom, and the World Wide Web.

Students will be required to communicate their responses using correct mathematical terminology and in complete sentences. This will especially be demonstrated each week when students are given a released Free Response item from previous AP Statistics tests.

Unit Information

Unit 1: Exploring and Understanding Data

Time Frame: 3 Weeks

 What is Statistics?

 Collecting Data

 Variables

 Displaying and describing categorical data

 Displaying and describing quantitative data

 Stem and Leaf Plots

 5 Number Summary

Activity:

Students will do the activity on a penny collection in partners of 2. They will be given a bag of bingo chips with dates on them for various pennies that were randomly selected.

They will determine the oldest and newest pennies. After laying out all pennies and making a histogram of the data, they will find their 5 Number Summary. Discussion will take place on the data of how to describe it.

Unit 2: Standard Deviation

Time Frame: 2 Weeks

 Properties of Standard Deviation

 Standardized Scores

 Normal Distributions

Activity:

Students will work through the discovery activity on the mean and standard deviation in partners of 2.

Unit 3: Exploring Relationships between Variables

Time Frame: 4 Weeks

 Scatter plots

 Correlation

 Linear Regression

 Least Squares Regression Line

 Outliers

 Re-expression using logarithms

Activity:

Students will work through “finding the correlation without the calculator” lab in groups and then come together as a whole to put all the data together. Students will also work through another lab on the least square regression line in pairs of 2.

Unit 4: Gathering Data

Time Frame: 4 Weeks

 Simulations by calculator-to look at sample data

 Bias

 Randomizing

 Simple Random Samples

 Blocking

 Control Group

Activity:

Students will work through the Rolling Down the River Activity. In this activity they pull random samples by using the calculator to simulate random numbers from a population to set up various types of samples. Then the students will compare the samples to each other to see which would be the most appropriate to use. This activity will be done in pairs of two.

Unit 5: Randomness and Probability

Time Frame: 4 Weeks

 Sample Space

 Law of Large Numbers

 Theoretical Probability

 Addition Rule

 Multiplication Rule

 Independence vs. Dependence

 Random Variables

 Probability Models

Activity:

Students will design their own project for probability. McDonalds has little mini beanie babies in their Happy Meals. There are 12 different animals. We want to see what the probability of getting the hamster would be both theoretically and experimentally.

Students will be in lunch randomly sampling students as they go through line. Each student that goes through line will choose randomly an animal. The data will be recorded and we will then find the probabilities. We will look at the data separately of each group then we will put the data together looking for the Law of Large Numbers.

Unit 6: Sampling Distributions

Time Frame: 3 Weeks

 Central Limit Theorem

Activity:

Students will be in pairs of two for this Unit’s project. They will be given a bag of bingo chips that are pre-numbered for various distributions. They will first take samples of 5 from the population of their bag 50 times. Then they will take samples of 10 from the population of their bag 50 times. The students will then graph these two sets of data as histograms and as box plots. Then they will lay out the entire population and see what type of distribution the population is. They will then graph their population as a histogram and a box plot. After this we will take a picture for the wall and have a

Central Limit Theorem Party. This will all be followed up with using a website that will animate it for them.

Unit 7: Confidence Intervals

Time Frame: 3 Weeks

 Confidence Intervals

 Margin of Error

 One Proportion z interval

 Hypothesis testing (null and alternative)

 P-Values

 Z test for population mean

 Two sided test

 Alpha level

 Type I and Type II errors

Activity:

Students will look at the record of the Pendleton County Boys basketball team and determine if there is really a “home court” advantage. Students will interpret their results and prepare a written document that supports their conclusions in full sentences.

Unit 8: Inference for Two Proportions

Time Frame: 4 Weeks

 Two proportion z-test

 Two proportion z-interval

 Sampling distribution

 One sample t-test

 One sample t-interval

 Degrees of Freedom

 Two sample t-interval

 Two sample t-test

 Pooling

Activity:

Students will do a random survey of students to see if they bought a used IPod from a friend if they would pay the same as if they bought it from a stranger. They will then do a two-sample t-test to determine if there is a difference. Students will work in groups of

4 for this activity.

Students will design their own project and determine which type of test to use. They will work through the entire process of performing either a t-test or a z-test. Students will interpret their results and prepare a written document that supports their conclusions in full sentences.

Unit 9: Inference when Variables are Related

Time Frame: 2 Weeks

 Chi-Squared test o Goodness of Fit o Test for Homogeneity o Test for Independence

 Two way tables

 Contingency table

Activity:

In this Unit, students will be using the Chi-Squared test to do a project with M&M’s. We will take a large bag of regular M&M’s and randomly give them to each student. The students will count their colors and using the information we have about how many

M&M’s are supposed to be in a bag we will test if the hypothesis is correctly stated by the

Mars Candy Company.

Unit 10: Inferences for Regression

Time Frame: 3 Weeks

 T-test for regression slope

 Confidence Interval for regression slope

Activity:

Students will work through previously released AP Statistics test questions on

Inferences for Regression. The graphing calculator is required to solve this problem and students must submit their responses in written sentences.

Text Book

Title: Stats: Modeling the World 3 rd Edition

Publisher: Addison Wesley

Published Date: 2010

Author: David E. Bock

Second Author: Paul F. Velleman

Third Author: Richard D. De Veaux

Other Course Materials

Material Type: Graphing Calculator

Description: TI-84 Plus Silver Edition

Material Type: Computer Software

Description: Fathom Data Software

Websites

URL: http://onlinestatbook.com/stat_sim/sampling_dist/index.html

Description: I will be using this website after the introduction of the Central Limit

Theorem. Students will first do a group project looking at various data samples and then we will have our Central Limit Theorem Party. After the party, students will use the website to emphasize what they have learned.

Grading Scale

Advanced Placement classes are graded on a weighted scale that can be found in your Student Agenda. Work for the class will be graded as follows:

Tests: (100 Points) There will be one test for each unit that is covered. This test will be both multiple choice and free response questions taken from a released AP exam.

Quizzes: (50 Points) Quizzes may or may not be announced.

Projects: (Depends on depth of project) There will be one project a unit that the students will either work on in class or out of class with a partner or group.

Homework: (10 Points) Homework will be given daily so students can practice the material discussed in class. Math is a subject that you must learn by doing; therefore completing homework ensures that learning is taking place.

Weekly AP Statistics Exam Work: (20 Points) Each week students will be given a few multiple-choice and 1 Free Response question that has been released from a previous AP Statistics exam. These will be due by the end of the week and given back on

Monday.

Supply List

1 ½ inch Binder

Dividers for Binder

Loose-Leaf Paper

Pencils

Graphing Calculator (Preferably TI-84 Plus Silver Edition)

Tutoring

Tutoring is provided on Tuesdays for AP Statistics only in my room 725.

Inclusion Statement

Honors/Pre-AP and Advanced Placement classes are intended for students who have exceptional abilities and/or interests in particular areas of study that require differentiated services. The classes are designed to provide additional challenge for the student who accepts responsibility for active involvement in their own learning. Students should be willing to demonstrate the necessary task commitment to maintain satisfactory progress (“C” average or better each grading term). Failure to keep pace and maintain satisfactory progress may result in removal from the course.

Please at anytime call me or email me with any comments, questions, or concerns at

654-3355 x725 or marsha.caldwell@pendleton.kyschools.us

and I will return your message as soon as possible.

AP Statistics

Course Syllabus 2012-2013

Ms. Marsha Caldwell

I have read and understand each of the rules for this class. By signing below I, as a student, promise to remember and follow the rules and understand that if I do not I will have to follow the consequences. Also parents, signing below shows that you understand the rules your child will follow and understand that if he/she does not what consequences will be followed.

Student Signature, Date

Parent/Guardian Signature, Date

Parent Email Address

Parent Phone Number (that can be contacted at any time)

Please feel free to make any comments or questions you may have below:

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