How well does Heath
Mathematics Connections address the content in the selected benchmarks?This
Heath Mathematics Connections in
Brief
The content ratings are estimates of what the textbook series attempts to present on only these benchmarks and are not an indication of overall content coverage or accuracy. The ratings also do not indicate whether or not the content will be learned. The instructional analysis provides information on the potential the series has for helping students actually learn the concepts and skills it attempts to present. The following indicates how well
There is a reference to each part of the benchmark at some point in the
material. While each part is addressed, there is little beyond a passing reference to
All parts of this benchmark are treated in the material, particularly in grades 6 and 7. Ideas and representations progress in sophistication, but not depth, from one level to the next. Equivalencies are first noted in grade 6, where decimals are represented by their equivalents on a grid. By the end of grade 6, students are converting fractions to decimals to percents. In grade 7, a few lessons interpret and compare equivalent forms of numbers (exponents, scientific notation, positive and negative rational numbers, and decimals). Appropriate use of different forms is not addressed. By grade 8, there are only a few lessons that address equivalent forms of numbers other than references to equivalencies of fractions expressed as repeating decimals.
This benchmark receives minimal coverage throughout the material. A great deal of geometry instruction centers around measurement with little focus on the properties of shapes. In grade 6, the material deals with the properties and construction of quadrilaterals but draws no attention to distinguishing among the various figures. In grades 7 and 8, students encounter very similar lessons that examine properties of polygons including classification by shape. There is no reference to triangle rigidity or the boundary and area relation for circles. Congruence is studied very briefly in grades 7 and 8. Similarity receives more treatment across the grade levels beginning with scale drawings and projections in grade 6. A few lessons in grades 7 and 8 directly address the characteristics of similar polygons.
All parts of this benchmark are fully addressed throughout
Algebra Graph Concepts — Partial Content
Graphs are explored across all grade levels of
Overall, while there is implicit instruction in the concepts of symbolic equations, the substance of the benchmark is addressed only briefly and with little depth. The second part of the benchmark, symbolic equations can be used to summarize how a quantity changes in response to other changes, receives greater coverage. There are a few examples showing how a quantity of something changes over time. Variables and symbolic equations are introduced in grade 6, although it is only implied that the equations represent change. They are explored further in grade 7 where this concept is more clearly demonstrated though not explicitly stated. In grades 7 and 8, the material briefly examines the relationship between symbolic equations and graphing. |
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