The history of mathematics is rich with problems involving finding the area and volume of shapes. The Moscow papyrus (~1850 B.C) and the Rhynd papyrus (~1650 B.C.) are ancient Egyptian texts full of problems concerning areas and volumes and show some of the earliest examples of proto-algebra (the beginnings of algebra). As the audio below tells us, knowledge of such calculation was considered to be an essential requirement for enty into the civil service of the day and would guarantee you a good career!

ABCD is a square. E is the midpoint of CD. AE intersects the diagonal BD at F.List all the polygons formed by segments BD and AE in the square.What percentage of the area of square ABCD is the area of each of the polygons formed?

This leads us to a lovely lesson designed as part of the Standards Unit:

the main activity - open the pdf below or download from the national STEM centre (click this picture)

## Areas of simple 2D shapes

## Table of Contents

## Learning Objective:

## Investing:

## Preparing:

## Discovering:

## Modeling:

## Discussing:

## Explaining:

## Practicing:

ABCD is a square. E is the midpoint of CD. AE intersects the diagonal BD at F.Listallthe polygons formed by segments BD and AE in the square.What percentage of the area of square ABCD is the area of each of the polygons formed?## Sharing:

## Assessing:

## Developing:

last edited: Jan 4, 2012 2:53 am