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## The Quantile® Framework for Mathematics

The Quantile Framework for Mathematics, developed byMetaMetrics®, uses a common developmental scale to measure student mathematical achievement, the difficulty of the mathematical concepts, and the materials used for teaching mathematics. Students in grades 3-11 receive a Quantile® measure with their WESTEST 2 score results. The measure will be reported as a number followed by a Q, such as 800Q.

A Quantile measure indicates how well a student understands mathematical concepts and skills at his or her grade level. To interpret what a Quantile measure means for a specific student, two pieces of information are needed: the Quantile score, and the grade level during which the student received the Quantile score. For example, a higher Quantile measure within a specific grade range indicates that a student probably has very few problems with grade-level material (textbooks and assignments) in school. A lower Quantile measure indicates that a student most likely struggles to understand and succeed with grade-level material.

The Quantile Framework can help teachers select materials within a specific student's learning frontier. The learning frontier is from 50 Quantile measures above to 50 quantile measures below a student's score.

The Quantile Framework is broken down into QTaxons, specific mathematical topics, concepts or skills. Each QTaxon is a number followed by a Q. The higher the number, the more difficult the solvability. Each QTaxon aligns with one of the five NCTM mathematical strands - Numbers and Operations, Geometry, Measurement, Algebra/Patterns & Functions, and Data Analysis & Probability. Each QTaxon has a Knowledge Cluster which indicates the precursor and supporting QTaxons. The precursor QTaxons describe the skills and concepts that should be mastered before beginning instruction on the main QTaxon. The supporting QTaxons represent skills that are not necessary for the lesson, but could broaden and enrich the lesson.

Quantile measures are not directly connected to grade levels. Within any classroom there will be students with a wide range of Quantile scores. Because teachers can use a student's Quantile score to assess the mathematical needs of that student, they can target instruction, forecast understanding, and improve mathematics instruction.

Resources for the Quantile Framework for Mathematics

Where Can I find my Quantile measure?

Quantile Tools

Quantile Measures and The Common Core State Standards

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