| Grade | Scale | Number sense, properties, and operations | Measurement | Geometry | Data analysis, statistics, and probability | Algebra |
|---|---|---|---|---|---|---|
| § This is a lower triangular symmetrical table. 1 At grade 12 only, the "measurement" and "geometry" subscales were combined for scaling. NOTE: Table values were obtained by computing a separate Pearson correlation coefficient for each plausible value, computing Fisher’s z transformation for each value, computing the average of the transformed values, and computing the inverse transformation. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2009 Mathematics Assessment. |
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| 4 | Numbers sense, properties, and operations | § | § | § | § | § |
| Measurement | 0.88 | § | § | § | § | |
| Geometry | 0.81 | 0.79 | § | § | § | |
| Data analysis, statistics, and probability | 0.85 | 0.82 | 0.77 | § | § | |
| Algebra | 0.88 | 0.84 | 0.78 | 0.82 | § | |
| 8 | Number sense, properties, and operations | § | § | § | § | § |
| Measurement | 0.86 | § | § | § | § | |
| Geometry | 0.84 | 0.84 | § | § | § | |
| Data analysis, statistics, and probability | 0.85 | 0.83 | 0.82 | § | § | |
| Algebra | 0.89 | 0.87 | 0.85 | 0.86 | § | |
| 121 | Number sense, properties, and operations | § | § | § | § | |
| Measurement and geometry | 0.92 | § | § | § | ||
| Data analysis, statistics, and probability | 0.92 | 0.92 | § | § | ||
| Algebra | 0.92 | 0.95 | 0.92 | § | ||