Excellence in Academic Preparation

  • QRAT: Quantitative Reasoning with Advanced Math Topics (C-Approved)

  • TQR: Transition to Quantitative Reasoning (G-Approved)

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These courses are designed to prepare college and career bound high school seniors with 21st century skills necessary to meet the mathematical thinking and problem-solving 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) (C-Approved)

This course is intended for students who are not ready for or interested in the Pre-calculus/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 A-G 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 college-level 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 in-depth 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

  • Pre-requisites:
    • 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 pre-Calculus.
    • 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) G-Approved

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 2-year math graduation requirement and often take three years to accomplish this. Successful completion of this course fulfills the high school “G” elective of the A-G 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 college-level courses or the workplace. The course culminates with a relevant, in-depth 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

  • Pre-requisites:
    • 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, 2-year 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 college-level 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)

5-Day Summer Professional Learning
Institute

5-Day Summer Professional Learning
Institute

2-Day Additional QRAT Content Training

4 After-school Regional Collaborative
meetings

4 After-school 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
other arrangement

Coaching, if possible, through district or
other arrangement

 

 

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