The following indicates how well Heath Passport attempts to address the substance, breadth, and sophistication of the ideas contained in each of the six mathematics benchmarks that were selected for the analysis. There is only minimal coverage of the first two ideas of the benchmark in grades 6 and 7 with somewhat more treatment in grade 8, but the coverage is not sufficient to address the substance of the concepts. Most Content Use, interpret, and compare numbers in several equivalent forms such as integers, fractions, decimals, and percents. The relationships between equivalent forms of fractions and decimals are developed more substantively than relationships involving percents. The material progresses from the use, comparison, and interpretation of integers, fractions, decimals, and expanded notation in grade 6 to exponents in grade 7 and negative exponents and scientific notation in grade 8.
Shapes can match exactly or have the same shape in different sizes.
The ideas of this benchmark appear mainly in grades 6 and 8. The special properties of shapes are covered, but the substance of the coverage is somewhat inconsistent for some of the benchmark concepts, such as the rigidity of triangles and the area of circles. The material addresses this benchmark in grades 6 and 7 but does not progress in sophistication in grade 8. Examples of similarity and congruence are discussed in grade 6 with more treatment given to properties of triangles and quadrilaterals. Formal theorems and definitions appear in grade 7 and work on comparing solids and describing corresponding angles appears in grade 8.