Students work through the Rod Dogs lesson that is described in the First Four Standards of this Framework . They investigate how the surface area and volume of an object changes as it is enlarged by various scale factors. Develop, apply, and explain procedures for computation and estimation with whole numbers, fractions, decimals, integers, and rational numbers. Students use a videotape of a youngster walking forward and backward as a model for multiplication of integers. The other two combinations also work out correctly.
Students use base ten blocks laid out in an array to show decimal multiplication.
Students explore the equivalence between fractions and repeated decimals by finding the decimal representations of various fractions and using the resulting patterns to find the fractional equivalents of some repeated decimals. Develop, apply, and explain methods for solving problems involving proportions and percents. Students use The Geometer's Sketchpad software to draw a geometric figure on a computer screen, scale it larger or smaller, and then compare the lengths of the sides of the original with those of the scaled image. They also compare the areas of the two. Students are comfortable using a variety of approaches to the solution of proportion problems.