Most Content Use, interpret, and compare numbers in several equivalent forms such as integers, fractions, decimals, and percents. The material addresses all parts of the benchmark. The text explores numbers written in standard form, powers, expanded, exponential, and scientific notation, fractions, decimals, and percents. The various equivalent forms of these numbers are introduced with definitions and examples and include demonstrations throughout grades 6 through 8 of how to compare, interpret, and apply them in various situations. The material includes comparison and use of integers, powers, and exponents, and exponential and scientific notation.
Shapes can match exactly or have the same shape in different sizes.
The benchmark ideas addressed in the material include the special properties of shapes and the concept of congruency and similarity of shapes. The rigid nature of a triangle and the boundary and area of a circle are not addressed. At all grade levels, most of the lessons and activities related to this benchmark involve exploring the properties and classifications of triangles, polygons, quadrilaterals, polyhedrons, and circles. A few lessons, for the most part in grade 8, discuss congruence and similarity and require measurement and examination of figures. Most Content Calculate the circumferences and areas of rectangles, triangles, and circles, and the volumes of rectangular solids.