All parts of this benchmark are addressed in many lessons and contexts throughout the book. Early lessons on converting fractions to decimals are extended to include writing mixed numbers as decimals. Later lessons present the procedure of simplifying fractions, which addresses the idea of equivalent fractions. Significant coverage is devoted to the meaning of percent and the relation among percents, fractions, and decimals. Finally, algebraic approaches are used to convert decimals to fractions and to illustrate slopes as equivalent fractions.
Shapes can match exactly or have the same shape in different sizes.
Several chapters address the usual properties of triangles, rectangles, trapezoids, parallelograms, and circles. Special properties, such as the rigid structure of triangles and the area relationship to the boundary of a circle are not addressed specifically. The area of a triangle is developed from a rectangle, and polygons are divided into triangles to find their areas. A series of lessons looks at size changes by treating expansions and contractions of line segments, triangles, and polygons using coordinates. The ideas are extended and applied to maps and drawings.