Posted: Mon, 09/24/2018 - 1:06pm Updated: Fri, 03/27/2020 - 9:23am

The Quantile Framework® for Mathematics

The Quantile Framework for Mathematics (Quantile Framework) measures a student’s readiness to learn mathematics concepts and skills and matches it to math content.

What is a Quantile® Measure?

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.

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Understanding Quantiles

College-and-Career Readiness Growth Planner

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.

Click here to access the Quantile Growth Planner and monitor growth towards college and career readiness in mathematics.

Quantile Measures in Indiana

Students will receive a Quantile measure from the Indiana ILEARN Mathematics assessments. Please contact your child’s school to determine whether additional assessments and instructional programs are used in your child’s classroom to report a student Quantile measure. Click here to access a list of assessments, by assessment type, which provides student Quantile measures.

For questions or more information on Quantile measures, contact the Indiana Department of Education at

Benefits for Students, Parents and Educators

  • 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.

Understanding Content Standards for Mathematics with Quantile Measures

Two free Quantile web tools, Math Skills Database and the Quantile Teacher Assistant, allow you to search the database of Quantile skills aligned to the Indiana Academic Standards. Simply choose "Indiana" from the drop down menu within each tool to access the alignment.  

Click here to learn how Quantile measures align with and support your mathematics standards.

For questions or more information on Quantile measures, contact the Indiana Department of Education at

Quantile Tools and Resources

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.

The Quantile Growth Planner can provide some insight as to whether a student will be prepared for the mathematic requirements of college and the workplace upon graduation. Schools can use the Quantile Growth Planner to chart a student’s growth across different annual state assessments, forecast future growth, and compare that forecasted growth with the math demands of college and careers. The Quantile Growth Planner can also be used to help identify a custom growth path to ensure the student graduates college- and career-ready, if needed.

This useful infographic helps to visualize the ins and outs on understanding Quantile Measures.

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.

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.

This two pager provides an overview of the uses and benefits of Quantile measures in the classroom.

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 the I ndiana Academic Standards for Mathematics.

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.

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.

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!

More information about the Quantile Framework can be found on the Quantile website.