Math Models with Applications www.AdvancedAcademics.com Course Description Math Models with Applications is a one-semester course that focuses on types of graphs, probability, and statistics. Topics covered include the construction and interpretation of graphs, measures of central tendency, measures of variation, and data collection. The basics of probability and probability models are also covered. In addition, students will participate in hands-on projects that apply the skills they learn to real-world settings. Prerequisite: Algebra I Course Objectives When you finish this course, you will be able to: Construct and interpret line graphs, bar graphs, pie charts, box-and-whisker plots, stem-and-leaf plots, and pictographs Calculate the mean, median, and mode of sets of data Calculate the range, variance, and standard deviation of sets of data Determine the validity of data Determine whether data is qualitative or quantitative Apply processes for collecting data using various methods Use collected data to make conclusions Use scatter plots and lines of best fit to make predictions Recognize and control any potential biases in the collection of data Determine the sample space of an event Assess whether an event is dependent or independent Construct tree diagrams to determine the probability of an event Find the theoretical probability of an event Calculate the empirical probability of an event Recognize and use the relationship between mean and standard deviation in a normal distribution Recognize when an event fits a binomial model Recognize when an event better suits a geometric model Course Assignment Values Assignment Type Points Possible Weight 15 Assignments 93 pts 44% 6 Unit Tests 60 pts 29% 4 Required Chats 1 Midterm Exam 20 pts 15 pts 9% 7% ©2011 Advanced Academics, Inc. All Rights Reserved. Assignment Type 1 Final Exam Course Totals Points Possible Weight 23 pts 11% 211 pts 100% Teacher Blog Check out your teacher’s blog, which can be found in the classroom in ROADS. Be sure to check it out often throughout your enrollment in this course and participate by reading and reflecting on the posts and leaving comments about your reflections. Following your teacher’s blog may help you to fully understand the concepts in the course and therefore help you perform better on your course assignments. Required Chat In addition to the assignments listed above, there are Required Chats in this course. Chat gives you an opportunity to get guidance, help, and encouragement from your teacher before you begin your Unit Tests. Suggested Course Schedule The suggested time frame shown below is based on learning sessions. A learning session is a 45-minute period of time. This course should take approximately 90 learning sessions to complete, but this schedule is just a suggestion. You may work on each unit at your own pace, completing as many learning sessions as you’d like in one sitting. However, keep in mind that you must finish the entire course within the time specified by your school district. Learning Session 1-15 16-30 Content Covered Unit 1: Graphs Graphs are important because they display data in a way that an audience can understand. Several types of graphs will be studied in this unit. In this unit, there will be: 2 Assignments 13 pts 1 Required Chat 5 pts 1 Unit Test 10 pts Unit 2: Interpretation of Data The different measures learned in this unit will give you insights into the ©2011 Advanced Academics, Inc. All Rights Reserved. various subtleties of a given set of data. 31-45 46-60 61-75 76-90 In this unit, there will be: 3 Assignments 18 pts 1 Unit Test 10 pts Unit 3: Collection of Data Before you can populate graphs and measures of central tendency, you have to know how to reliably collect data. In this unit, there will be: 2 Assignments 13 pts 1 Required Chat 5 pts 1 Unit Test 10 pts Math Models with Applications Midterm Exam 15 pts Unit 4: Uses of Data This unit will teach you to tie together all of the data collection methods, interpretation skills, and graphical displays you have learned thus far. In this unit, there will be: 3 Assignments 18 pts 1 Required Chat 5 pts 1 Unit Test 10 pts Unit 5: Probability Probability is an important topic in mathematics, as well as for careers in science and business. In this unit, there will be: 3 Assignments 18 pts 1 Unit Test 10 pts Unit 6: Probability Models Probability models are important because they can be used to predict future behaviors. In this unit, there will be: 2 Assignments 13 pts 1 Required Chat 5 pts 1 Unit Test 10 pts Math Models with Applications Final Exam 23 pts Privacy Policy ©2011 Advanced Academics, Inc. All Rights Reserved. No member of the Advanced Academics staff is authorized to release student information without the written permission of the student’s parent or legal guardian. Names, images, and/or class work of Advanced Academics students will not be published in print, video/film, or on our public website without written student and guardian consent. Disability Statement If you have a disability or condition that may affect your ability to succeed in this course, please contact your teacher. It’s important that you discuss the problem with him or her so accommodations may be made to give you every opportunity to perform well. Your teacher and virtual school program coordinators are committed to helping students with disabilities succeed, and every request will be treated with respect and confidentiality. ©2011 Advanced Academics, Inc. All Rights Reserved.