Advanced Quantitative Reasoning A

Course Description

Advanced Quantitative Reasoning A is the first semester of a two-semester course that is ideal for students interested in non-mathematics-intensive majors in business, social sciences, or the arts at the postsecondary level. Topics include statistics, financial applications, and the use of models from discrete mathematics, algebra, geometry, and trigonometry to solve engaging problems that exist in every-day life. Lessons and activities will focus on exploration-based student learning as well as digital presentation skills.

Course Objectives

In this course, you will:

  • Find and create graphs for Euler Paths and Euler Circuits.  
  • Estimate crowd sizes and answers to Fermi questions like how many ounces of popcorn are sold at movie theaters on opening day?
  • Calculate weighted averages and apply them to situations like baseball statistics.
  • Analyze survey data to determine whether two variables are associated or independent.
  • Create and conduct your own survey and analyze the results.
  • Use a variety of visual aides to determine probabilities and use them to make informed decisions.
  • Use logical constructions to prove arguments are valid or not-valid.
  • Complete one practice quiz per lesson with feedback.
  • Write a short summary of each unit.
  • Find examples of the topic in a real-world situation such as a news article, website, or a photograph.
  • Choose an algorithm or problem of interest to you and apply it to a new situation or example of your choosing.
  • Keep an interactive math notebook and upload selected pages of it.

Required Course Materials

  • Interactive Notebook – this can be a small composition notebook, a spiral notebook, or loose-leaf paper kept in a binder
  • Tape or glue stick for attaching pages to your interactive notebook
  • Pencil or Pen – In order to do well in the course, you must take notes, sketch diagrams and graphs, and solve problems when instructed to do so
  • Colored pens or pencils (in particular red, blue, green, and black)
  • Internet Access
  • Adobe Reader
  • Graphing Calculator (TI 84 plus or similar is recommended) 

Note: This course does not require a textbook. 

Course Organization

Each semester course consists of:

  • Three units containing a total of 12 lessons;
  • Twelve practice quizzes with feedback;
  • Twelve graded assignments (8 multiple choice, 4 open-ended); and
  • One final exam with 40 multiple choice questions, taken in-person.

Final Examination

The final examination is comprehensive; it covers the material from all three units. To pass the course, you must receive a grade of 70 percent or better. You can apply to take the Final Exam after 100 percent of your graded assignments have been submitted, and at least 70 percent have been graded and returned to you.

Format: Multiple-Choice
Time Allowed: 3 hours
Materials Allowed: #2 pencils, graphing calculator

Semester Topics

Unit 1: Networks (Graph Theory)
Unit 2: Data Analysis
Unit 3: Predicting with Probabilities