Quantile Framework for Mathematics
The Quantile Framework for Mathematics is a unique measurement system that uses a common scale to describe a student’s mathematical achievement level as well as the difficulty of specific skills and concepts. The Quantile Framework describes a student’s ability to solve mathematical problems and the demand of the skills and concepts typically taught in kindergarten mathematics through pre-calculus. Quantile measures are reported with the scores of students taking Mathematics SOL tests in grades 3 through 8, Algebra I, Geometry, Algebra II. The Quantile measure describes the difficulty levels of the math skills and concepts the student is most likely ready to learn.
These measured skills and concepts in the Quantile Framework are all aligned to the Virginia Standards of Learning. The Quantile Framework has five content domains – Numbers and Operations, Geometry, Measurement, Algebra/Patterns & Functions, and Data Analysis & Probability.
The Virginia Quantile Map (PDF) provides a graphic representation of the Quantile Framework, showing several example QTaxons identified at a variety of Quantile measures along the five mathematics content strands. It provides a context for understanding how test results relate math ability to problem solvability.