Please help me on mathematical vignette - Mathematical Vignette

Synopsis: Mathematical vignettes are intended to refresh and enrich student's understanding and appreciation on the role of mathematics in one's everyday life.It is a stand-alone piece of mathematical writing that will ultimately convey a key principle of mathematics, usually in the simplest language that any reader can comprehend. It usually starts with some familiar concepts in mathematics, then progresses to some unfamiliar ideas. The goal of a vignette is to reveal a new learning out of some existing and familiar concept in mathematics. Basis of Vignette

:Chapters 1-3 of Mathematics in the modern world Topics on Chapter 1 to 3 Chapter 1 - Mathematics in our Moderns World- Patterns

- Fibbonacci sequence

- Golden ratio Chapter 2 - Language Symbols

- Function

- Venn Diagram

- Language of Binary Operation Chapter 3 - Problem Solving and reasoning

- Inductive deductive reasoning

- Polyas method

- Le chateliers principle

Structure:

Be written in an expository style with a narrative flow

Has a mathematical point

A connection between mathematics and the physical world must be established

May include any visuals, illustrations etc. supporting the subject of the vignette. Please include sources of any materials that you've been taken in the internet

Each chapter must contain more than 200 words.