This has got to be one of my favourite videos related to Mathematics. I LOVE IT! The music, the images, the connection with nature; it speaks to how we oftentimes overlook the mathematical beauty in nature. With a quick glance, we see a sunflower. When we pause a moment, we recognize an intricate spiral design with the seeds and marvel at how this pattern is not random. Opening our eyes and viewing nature in a new light, we see there is symmetry, and ratios throughout the natural world.
Patterns are not random in nature, their is a purpose for how it is developed. Even looking at a tree core sample. The rings look as if they are randomly generated. Thinking back to Science class, we know there is a connection between the growing season (rain, fires, drought, or weather) and see that it is actually a ratio between how much moisture, how long the dormant season is, how much sun it was able to get, or any other number of variables that impact the growth.
This chapter explores not only the natural patterns found in the world around us but also delves into the realm of graphing linear relationships. While we marvel at the mathematical beauty in nature, we also turn our attention to the structured representation of linear relationships through graphs and charts. By understanding how to graph these relationships, we gain insights into how variables interact and change over time or in different scenarios. This skill not only enhances our ability to analyze and predict but also deepens our appreciation of the mathematical foundations that govern both nature and everyday life.
Chapter 5: Linear Relations, Equations, and Inequalities
Chapter 6: Polynomials