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.
Shapes can match exactly or have the same shape in different sizes.
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. Most Content Calculate the circumferences and areas of rectangles, triangles, and circles, and the volumes of rectangular solids.