Education Technology

# Activities

• ##### Subject Area

• Standard: VCE: Mathematical Methods: Mathematical Methods

Aust Senior

45 Minutes

• ##### Device
• TI-Nspire™
• TI-Nspire™ CAS
• TI-Nspire™ Navigator™
• ##### Software

TI-Nspire™
TI-Nspire™ CAS
TI-Nspire™ CAS Navigator™ NC System
TI-Nspire™ Navigator™ NC System

4.3

## Buffon’s Needle Extension

#### Activity Overview

Suppose you drop your pen onto a wooden floor. If the pen is the same length as the boards are wide, what is the probability that the pen will lie across a join? Simulating the event provides an approximate solution. Taking lots of samples produces a sampling distribution and solving analytically produces a lovely result through calculus.

#### Objectives

• Simulate events to produce an approximate solution
• Collect multiple samples to produce a sampling distribution (optional)
• Use analytic means to provide a solution using integral calculus

#### Vocabulary

• Integral
• Proportion
• Probability
• Variation (variance)
• Integration (integral)