The Quantile Framework for Mathematics: Information for Educators and Parents

Q1: What is a Quantile Measure?


The Quantile Framework for Mathematics (Quantiles.com) 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 1600Q.

Q2: Where can I receive a Quantile Measure?


Students in grades 3-8 and 10 receive a Quantile measure from the Kansas Assessment Program. Contact your local school district to receive a copy of your student’s report.

Additional mathematics tests and instructional programs have the ability to report students’ scores in terms of Quantile measures. Click here to access a list of assessments, by assessment type, which provide student Quantile measures.

Q3: How can I use my Quantile Measure?


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

Educators can use Quantile measures to prepare students for the introduction of new content, target instruction, track growth, and identify appropriate resources.

Parents and students can use Quantile measures to better understand and communicate with their teacher about which skills and concepts are ready to be learned.

Q4: What is the relationship between grade equivalents and Quantile measures?

The premise behind The Quantile Framework for Mathematics is simply matching instruction to where a child’s mathematical schema exists. Quantile measures help educators and parents track student growth in mathematics over time, regardless of grade level. Within any classroom, students will have varying mathematical abilities.

Since growth is expected from one school year to the next, Quantile measures do not translate specifically to grade levels. The Quantile Framework provides two sides to the same coin: a measure for students and a measure for skills and concepts. The student's Quantile measure describes what the student is capable of understanding. The Quantile Skill and Concept or QSC measure describes the difficulty, or mathematical demand, of that skill.

For more information about Quantile ranges and grade levels, please read Quantile Measures: Typical Grade Ranges (PDF)

Resources for The Quantile Framework for Mathematics

●     Quantile Fact Sheet (PDF)

●     Quantile Fact Sheets and FAQs

●     Quantile Tools and Resources

●     Quantile Map [1] (PDF)

●     Knowledge Clusters Brochure (PDF)

●     Math@Home Brochure (PDF)

●     Quantile & Lexile Professional Development Brochure (PDF)

●     Quantile Measures in the Classroom and at Home (PDF)

●     A Parent's Guide to the Quantile Framework for Mathematics (PDF)

●     Lesson Planning Template (MS Word)

●     Quantile Measures: Typical Grade Ranges (PDF)

Quantile Tools

●     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 the Kansas 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®: 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.


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