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 student’s understanding of these mathematical skills and concepts. 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 1600Q.

Quantile measures take the guesswork out of determining which mathematical skills a developing mathematician has learned and which ones require additional or future instruction. They improve mathematics teaching and learning by helping educators and parents target instruction and monitor student growth toward the mathematical demands of college and careers.

Benefits for Students

• Learn how a student’s Quantile measure can help parents better understand and communicate with their child’s teacher about which skills and concepts their child is 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.

Students will receive a Quantile measure from the South Dakota Department Smarter Balanced Assessment in Mathematics in grades 3 - 8 and high school. View a score report sample containing Quantile measure information.

Additional mathematics tests and instructional programs have the ability to report students’ performance in terms of Quantile measures. Access a list of assessments, by assessment type, which provides student Quantile measures.

An important factor in college and career readiness is students’ mathematical ability as they progress through school. The Quantile Framework provides valuable insights into student readiness by measuring both the complexity of mathematics materials and a student’s mathematical knowledge and skill.

Acess the Quantile Growth Planner and monitor growth towards college and career readiness in mathematics.

The skills and concepts of The Quantile Framework are aligned to the South Dakota State Standards for Mathematics. Two free Quantile web tools, Math Skills Database and the Quantile Teacher Assistant, allow you to search the database of Quantile skills aligned to South Dakota standards. Simply choose “South Dakota" from the drop down menu within each tool to access the alignment.

Learn how Quantile measures align with and support your mathematics standards.

Quantile Infographic
Here is everything you need to know about the Quantile Framework for Mathematics in one easy to understand graphic.

A Parent’s Guide to the Quantile Framework for Mathematics
This is a two-page overview of the benefits and usefulness of The Quantile® Framework for Mathematics. It is also available as an ADA accessible PDF.

An Educator’s Guide to the Quantile Framework for Mathematics
This two page document provides an overview of the uses and benefits of Quantile measures in the classroom.

Quantile Map
The Quantile Map provides a graphic representation of example mathematical skills and concepts and their Quantile measures. The 11x17 Quantile Map is also available as an ADA accessible PDF.

Quantile® Math Skills Database
Search the Math Skills Database for skills and concepts aligned to your state’s standards. The database contains targeted, free resources appropriately matched 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 educators are teaching. This tool has been aligned with South Dakota State Standards for Mathematics.

Quantile® Find Your Textbook
This free search tool helps educators, parents and students find targeted resources to supplement textbook material. You can search over 600 textbooks by title, ISBN, publisher, state edition or course.

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

Quantile® Growth Planner
Wondering if a student will be prepared for the mathematic requirements of college and the workplace upon graduation? The Quantile Growth Planner provides some insight. With the Quantile Growth Planner, you can chart a student’s growth across different annual state assessments, forecast future growth, compare that forecasted growth with the math demands of college and careers, and, if needed, identify a custom growth path to ensure the student graduates college- and career-ready.

Quantile® Summer Math Challenge
The Summer Math Challenge is a free math skills maintenance program based on grade-level standards that help prepare students for college and careers. The program is targeted to students who have just completed grades 1 through 8 and is designed to help them retain math skills learned during the previous school year. Parents will receive daily emails with fun activities and links to educational resources throughout the six-week program. When the program ends, parents can print an award certificate to celebrate their child's summer math accomplishment!

To access free Quantile tools and resources, visit Quantiles.com.