Math Models with Applications

Math Models with Applications
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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%
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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.