Within any classroom, students will have varying mathematical abilities. The Quantile® Framework for Mathematics applies to both a student's mathematical achievement level and the difficulty of specific skills and concepts, making it possible for teachers and parents to use Quantile measures to select suitable math materials for each student.

In partnership between MetaMetrics and Happy Numbers, each student receives Quantile measures based on Happy Numbers assessments. If you want to see the assessment results on this scale, just reach out to us at support@happynumbers.com. Please note that specific Quantile measures are available only to Premium users.

Quantile measures help educators and parents track student growth in mathematics over time, regardless of grade level, so they do not translate specifically to grade levels. Based on research conducted by MetaMetrics, the chart below provides ranges for typical student performance at a particular grade level. These ranges reflect the middle 50% of student performance within a grade level. These Quantile measures do not imply grade-level expectations.

NOTE: These bands do not represent performance levels or performance standards. They provide descriptive information and are appropriate for norm-referenced interpretations only.

The result of Happy Numbers assessments in Quantiles for some students can be much higher than the threshold value of the grade level range. However, it is important to note that if a student has a significantly higher Quantile measure than their peers, it does not necessarily imply that the student should be provided with materials from the next grade. The Happy Numbers Placement Test specifically evaluates readiness for the current grade and does not assess proficiency in skills taught more than half a grade above. Therefore, a high Quantile score indicates that the student has answered all the test questions correctly but does not necessarily indicate readiness to advance beyond one grade level of study.

Quantiles are normalized in such a way that 0 in Quantiles corresponds to the very beginning of 1st grade, and negative values correspond to the level of K and PreK.

Please visit www.Quantiles.com for more information on how to use this data in your classroom and to further differentiate or find appropriate tasks that can be used in small group rotations in partnership with your core curriculum and Happy Numbers implementation.