**ERIC Number:**ED033031

**Record Type:**RIE

**Publication Date:**1969

**Pages:**32

**Abstractor:**N/A

**Reference Count:**0

**ISBN:**N/A

**ISSN:**N/A

Averages, Areas and Volumes; Cambridge Conference on School Mathematics Feasibility Study No. 45.

Cambridge Conference on School Mathematics, Newton, MA.

Presented is an elementary approach to areas, columns and other mathematical concepts usually treated in calculus. The approach is based on the idea of average and this concept is utilized throughout the report. In the beginning the average (arithmetic mean) of a set of numbers is considered and two properties of the average which often simplify the arithmetic is noted. Averages are further used to solve a number of important practical problems - to find the work done in stretching a spring, the distance which a body dropped from rest falls in a given time, and the force against a rectangular dam. The volume of solids bounded by two parallel planes is determined by multiplying the distance between the planes by the average cross-sectional area. These volumes can be used to find the force on a dam of triangular or semicircular shape. It is believed that the procedures outlined in this document are sufficiently simple to be taught as early as grade 6. [Not available in hard copy due to marginal legibility of original document]. (RP)

**Publication Type:**N/A

**Education Level:**N/A

**Audience:**N/A

**Language:**N/A

**Sponsor:**N/A

**Authoring Institution:**Cambridge Conference on School Mathematics, Newton, MA.