How well does Middle
Grades Math Thematics address the content in the selected benchmarks?This
Middle Grades Math Thematics 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
The material addresses two parts of the benchmark substantively; the
other part is mentioned but not fully developed. A fraction model is used to illustrate
the number of equal-sized parts of the whole, building on early experiences with
fractions. The idea "
All parts of this benchmark are given in-depth treatment, primarily in grades 6 and 7. Representations and comparisons of fractions, mixed numbers, and equivalent fractions are addressed with manipulative materials. Relationships among fractions, decimals, and percents are treated comprehensively. Exponents, scientific notation, and integer and fractional equivalents of numbers are covered. In a section on percent and probability, ratios are expressed as fractions, decimals, and percents. The material is appropriate to these grade levels for it focuses on the interpretation and comparison of equivalent forms of numbers rather than simply on their use. Geometry Concepts — Partial Content
The circumference and area relationship of circles is not addressed in this material. In early explorations of geometric figures, special terms and symbols are used to describe geometric figures and special properties of polygons and circles. Material covering the angles of triangles and properties of quadrilaterals and their diagonals address the idea of rigid structures. The concepts of similarity and congruence are addressed and then applied in scale drawings, coordinate graphing, direct and indirect measurement of angles and sides of figures, and fractals. Geometry Skills — Most Content
All parts of the benchmark are addressed in this material. Area and perimeter of rectangular figures are introduced in a lesson on equations and expressions and then covered in great detail through calculating areas of structures and estimating and measuring the area of the classroom. Volume of rectangular solids is covered by finding the volume of tall buildings. Circumference of a circle is introduced by measuring the distance around circular objects. A formula is then presented and students draw and measure circles and estimate the circumference of real objects. Further exploration and extension of the benchmark are found in grades 7 and 8 and include novel applications of measurements. Algebra Graph Concepts — Partial Content
All but two parts of the benchmark are covered substantively in this
material. Students first review how to plot points, then apply the idea to saving money
and watching it double over time. Later, a lesson on population growth looks at rate of
increase as exhibited by a graph. Finally, students explore and interpret line graphs and
their shapes in many applications, including interpreting graphs that can be misleading.
In grade 7, double line graphs compare two sets of data.
The benchmark is addressed in depth. The concept of symbolic equations is introduced in grade 6. The relationship between the elements of the equation is covered with an emphasis on the meaning of the equations and their parts. Solving equations comes much later when students are told that to solve the equation they must find the unknown value. In grade 7, a lesson on sequences reviews the idea that a variable represents a quantity that changes. The concept of symbolic equations is applied by writing and graphing equations. In grade 8, time is devoted to graphing and evaluating linear versus nonlinear equations, exploring slope, and using equations to make predictions. |
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