The Quantile Framework® for Mathematics

The Quantile Framework for Mathematics ( is a scientific approach to measuring mathematics achievement and the mathematical difficulty of skills and concepts.

The Quantile Framework consists of a Quantile measure and the Quantile scale. A Quantile measure represents the difficulty of a mathematical skill, concept or application and a developing mathematician’s understanding of these mathematical skills and concepts in the areas of Geometry, Measurement, Number Sense, Numerical Operations, Algebra and Algebraic Thinking, and Data Analysis, Statistics, and Probability. Quantile measures are expressed as numeric measures followed by a “Q” (for example, 850Q), and represent a position on the Quantile scale.

The Quantile Framework spans the developmental continuum from Kindergarten mathematics through the content typically taught in Algebra II, Geometry, Trigonometry, and Pre-calculus, from below 0Q (Emerging Mathematician) to above 1600 Q.

Quantile measures take the guesswork out of determining which mathematical skills a developing mathematician has learned and which ones require additional instruction. They help to improve mathematics teaching and learning by targeting instruction and monitoring help monitor student growth toward proficiency standards and the mathematical demands of college and careers.

Benefits for Students and Educators:

Benefits for Students: Learn how a student’s Quantile measure can help parents better understand and communicate with their children’s teacher about which skills and concepts their children are ready to learn.

Benefits for Educators: Quantile measures empower educators in K-12 mathematics to prepare students for the introduction of new content. Learn how the Quantile Framework can help educators target instruction, track growth and identify appropriate resources.

Quantile Measures in Nevada

Students will receive a Quantile measure from the Nevada Department of Education Mathematics Smarter Balanced Assessment.

Using Quantile Measures to Assess College and Career Readiness

The skills and concepts of the The Quantile Framework are aligned to the Nevada Academic Content Standards. Two free Quantile web tools, Math Skills Database and the Quantile Teacher Assistant, allow you to search the database of Quantile skills aligned to Nevada’s standards. Simply choose "Nevada" from the drop down menu to access the alignment.

Quantile Tools

More than 600 textbooks and 3,100 downloadable resources have been aligned to the Quantile Framework.

    Math Skills Database

    Search the Math Skills Database for skills and concepts aligned to your standards. The database contains targeted, free resources that appropriately match to students by Quantile measure and math content.

    Quantile Teacher Assistant

    Use the Quantile Teacher Assistant to differentiate math instruction by matching skills and their measures to the relevant standard you are teaching. This tool has been aligned with Nevada mathematics curriculum standards.

    Find Your Textbook

    This free search tool helps educators, parents and students find targeted resources to supplement the textbook material. Users can search over 600 textbooks by title, ISBN, publisher, state edition or course.


    Math@Home provides access to a growing number of family-friendly mathematical resources that support the textbook lessons or math topics a child is studying in school.

    Quantile Map

    The Quantile map provides a graphic representation of mathematical skills and concepts aligned with their strands and Quantile measures.

    • Nevada 8.5x11 Quantile Map (coming soon)
    • Nevada 11x17 Quantile Map (coming soon)