Objectives
ACMNA186 – Investigate the concept of irrational numbers, including π
Vocabulary
- Continuous
- Rational
- Irrational
- Integer
About the Lesson
Students start with a square with integer side lengths and see that it is not possible to create a square with an area of 20 square cm. Spinners are attached to decimal places to progressively increase the accuracy, a better approximation results. A number line is used to improve accuracy with the ability to progressively zoom in for an even better approximation. The Babylonian technique is presented visually then numerically to find an even better approximation, leaving students to ponder “will we ever get there?”