Advanced Quantitative Reasoning, Semester B

Course Description

Advanced Quantitative Reasoning B is the second semester in a two-semester series that explores statistics, financial applications, and mathematical models from algebra, geometry, trigonometry, and discrete mathematics to solve engaging problems that exist in every-day life. This course is ideal for students interested in non-mathematics-intensive majors in business, social sciences, or the arts at the postsecondary level. In Advanced Quantitative Reasoning B, students will explore various relationships that occur in everyday life, such as growth and decay, cyclical, and piecewise functions. Students will also gain a deeper understanding of interpreting data displays, collecting samples, and reporting their findings from statistical investigations and financial models. As part of this course, students are expected to create a digital e-portfolio using artifacts from their investigations and explorations within the course. 

Texas Essential Knowledge and Skills (TEKS) 

UTHS courses are designed in alignment to the Texas Essential Knowledge and Skills (TEKS) which define the skills and content to be taught in each course and grade level in the state of Texas.

Semester Topics

• Unit 1: Using Statistics
• Unit 2: Recursion and Functions
• Unit 3: Finances

Course Objectives

Upon completing this course, you will be able to—

• identify the population of interest for a statistical investigation, select an appropriate sampling technique, and collect data; 
• report results of statistical studies to a particular audience, including selecting an appropriate presentation format, creating graphical data displays, and interpreting results in terms of the question studied; 
• justify the design and the conclusion(s) of statistical studies, including the methods used; 
• determine the appropriate cyclical and piecewise function that models a given situation; 
• use models to make accurate predictions; 
• define and recognize various types of income; 
• create and analyze mathematical models for expenditures, loans and investments.

Required Course Materials

Please visit the Computer Requirements page to view minimum device, internet, and application requirements for all UT High School courses. Generally, a desktop or laptop device five (5) years or newer with access to an office suite, such as Microsoft Office or Google Workspace, will be adequate to participate in most UTHS courses. 

Unless otherwise noted, students are responsible for purchasing or securing all the following course materials:

• Textbook: A textbook is not required for this course. 
• Interactive Notebook: A paper or digital composition book is acceptable. For paper composition books, please also have the following items on hand:  
  • Pens or Pencils  
  • Colored Pens or Pencils: red, blue, green, and black 
  • Tape or Glue 
• Graphing Calculator: A TI-84 is recommended for all UTHS math courses. Please review the UTHS Graphing Calculator Policy before purchasing a device.

Course Organization

Students must complete the course in sequence: You will not be able to access the next unit until all work in the preceding unit is completed. You may take your final exam only after completing all units and submitting all graded assignments.  

• Units: Each unit includes multiple lessons and graded assignments as well as ungraded practice quizzes to help you check your understanding of the material.
  
  
• Summative Assessments: Each course includes two online, virtually proctored summative assessments testing your understanding of the material presented in the preceding 2-3 Units.
  • Format: Online, Multiple-choice
  • Time Allowed: 1 hr 30 min
    
    
• Final Exam: Each course includes an online, virtually proctored final exam testing your knowledge of all material presented in the course.
  • Format: Online, Multiple-choice
  • Time Allowed: 3 hrs 20 min

Course Grade Weighting

Your final course grade is calculated by weighting the three assignment groups displayed in the table below:

Online Proctored Exams

All course exams, including both summative assessments and the final exam, must be completed online. Students must test online with Proctorio and are required to add the Proctorio extension to either their Microsoft Edge or Google Chrome browser—installation instructions are provided in the student's course. Proctorio uses a student's computer, web camera, and microphone to record video of both the student and their desktop during the exam. Then, UTHS instructors review the student's exam video data collected by Proctorio. Only authorized UTHS staff and instructors can view the exam recordings. Student data is not shared with any persons or organizations outside of UTHS and are deleted after one year. We encourage you to visit Proctorio's Data Security and Privacy site pages to learn more about how we protect student date.