
QRAT: Quantitative Reasoning with Advanced Math Topics (CApproved)

TQR: Transition to Quantitative Reasoning (GApproved)
These courses are designed to prepare college and career bound high school seniors with 21st century skills necessary to meet the mathematical thinking and problemsolving rigor and expectations of higher education courses and the workplace. The goal of each course is to deepen, build upon and extend conceptual understandings of mathematical theory, skills, and strategies developed in previous math courses.
Quantitative Reasoning with Advanced Math Topics (QRAT) (CApproved)
This course is intended for students who are not ready for or interested in the Precalculus/Calculus pathway their senior year but still want to continue developing their mathematical knowledge and challenge their math skills while preparing for attendance at a CSU or UC. These students may be interested in math intensive majors such as science, technology, engineering, and/or math (STEM) but this is not a requirement to participate in this course. Successful completion of this course fulfills the high school “C” math area of the AG requirements.
Course Description: The units of study revisit previous math concepts such as linear, quadratic and exponential functions, to provide opportunities for students to develop a greater perspective of the underlying structures of mathematics and how to connect mathematical topics. This enables students to continue to persevere through problem solving and develop quantitative reasoning skills necessary for success in collegelevel courses. Polynomial and rational functions, as well as basic calculus concepts, advance the students mathematical content knowledge through a quantitative reasoning lens. The course culminates with an indepth unit on the mathematics of finance. The National Common Core Standards for Mathematical Practice are an integral part of each lesson and specific high school Common Core State Standards are the focus of the mathematical content. Through a facilitative teaching approach, the lessons and tasks provide students with opportunities to solve challenging problems in which they gather, analyze, and evaluate information, work effectively in groups to make decisions using critical reasoning skills, as well as opportunities to communicate concisely through written and oral language.
A letter grade of C or better in the second semester of this course (a UCOP designated Advanced Mathematics course) validates the entire high school college preparatory requirement.
Target Population for QRAT
 Prerequisites:
 Integrated Math III or Intermediate Algebra II with a D or better
 Intended for high school seniors who place into:
 Level 4 “Exceeds Standard” on SBAC/CAASPP
 Level 3 “Standard Met” on SBAC/CAASPP
 Level 2 “Standard Nearly Met” on SBAC/CAASPP (students who placed into Level 2 “Standard Nearly Met” may participate in the course with a counselor/math teacher recommendation)
 Students who typically enroll in this course:
 Are not ready to take an AP level math/QR course.
 May have originally been placed into preCalculus.
 Could move beyond a "just got by" status from IM III or Intermediate Algebra II and improve their preparation to succeed in college level mathematics.
 Would prefer to take a course that looks and feels different and gives them credit, rather than retaking a course for no additional credit.
 May not have planned on taking a senior year math course.
Transition to Quantitative Reasoning (TQR) GApproved
This course provides a pathway for students who may not be interested in pursuing a STEM and/or math intensive major and would typically not take math their senior year. These students traditionally complete the 2year math graduation requirement and often take three years to accomplish this. Successful completion of this course fulfills the high school “G” elective of the AG requirements.
Course Description: The units of study revisit previous math concepts, such as functions, inequalities and exponents to provide opportunities for students to develop a greater perspective of the underlying structures of mathematics and how to connect mathematical topics. This enables students to continue to persevere through problem solving and begin to develop their quantitative reasoning skills for success in collegelevel courses or the workplace. The course culminates with a relevant, indepth unit on financial mathematics. The National Common Core Standards for Mathematical Practice are an integral part of each lesson and specific high school Common Core State Standards are the focus of the mathematical content. Through a facilitative teaching approach, the lessons and tasks provide students with opportunities to solve challenging problems in which they gather, analyze, and evaluate information, work effectively in groups to make decisions using critical reasoning skills, as well as opportunities to communicate concisely through written and oral language.
Target Population for TQR
 Prerequisites:
 Algebra I and Geometry or Integrated Math I and II with a D or better
 May have also taken a third year of math (e.g. transition course, 2year course, etc.)
 Intended for high school seniors who place into:
 Level 3 “Standard Met” on SBAC/CAASPP
 Level 2 “Standard Nearly Met” on SBAC/CAASPP
 Students who typically enroll in this course:
 May not have planned on taking a senior year math course.
 May have originally been placed into Algebra II or IM III.
 Could move beyond a "just got by" status from Algebra I and Geometry or IM I and II and improve their preparation to succeed in collegelevel mathematics
 Are currently not considering a STEM/math intensive major.
Professional Development
Teachers are required to attend the full program for the appropriate course. Administrators are required to attend administrator sessions for 1/2 day of the institute.
Quantitative Reasoning with Advanced Mathematical Topics (QRAT) 
Transition to Quantitative Reasoning (TQR) 
5Day Summer Professional Learning 
5Day Summer Professional Learning 
2Day Additional QRAT Content Training 
4 Afterschool Regional Collaborative 
4 Afterschool Regional Collaborative meetings 
2 Professional Learning Days during the school year, if agreed upon with district 
2 Professional Learning Days during the school year, if agreed upon with district 
Coaching, if possible, through district or 
Coaching, if possible, through district or 

For additional information, please visit Sacramento State’s Center for College & Career Readiness’ Excellence in Academic Preparation Senior Year Mathematics Courses.