Lesson 1 Flashcards
What is Mathematics?
Mathematics is the study of numbers, patterns, relationships, and problem-solving. It’s used to analyze and understand both natural and human-made systems.
What roles does Mathematics serve?
Mathematics serves as a language, a tool, and a way of thinking, helping us solve problems and organize our world logically and systematically.
What are some applications of Mathematics?
Applications of math range across various fields, including science, engineering, economics, and the arts, making it a fundamental part of daily life.
What is a pattern?
Patterns are repeated arrangements of elements, often observed in nature, art, architecture, and human behavior.
What is symmetry in patterns?
Symmetry refers to patterns with balanced proportions or mirrored images, found in nature and art.
What are Rosette Patterns?
Rosette Patterns repeat in no specific direction and can have rotation or reflectional symmetry.
What are Frieze Patterns?
Frieze Patterns repeat in one direction, commonly seen in borders and architectural designs.
What are Wallpaper Patterns?
Wallpaper Patterns repeat in two directions to fill a space, like tiles or wall designs.
What are Tessellations?
Tessellations are patterns that cover a plane without gaps or overlaps, seen in things like honeycombs and tiled floors.
What is the Fibonacci Sequence?
The Fibonacci Sequence begins with 1, 1, and each subsequent number is the sum of the previous two numbers (e.g., 1, 1, 2, 3, 5, 8, 13…).
Who discovered the Fibonacci Sequence?
The Fibonacci Sequence was discovered by Leonardo of Pisa (Fibonacci) and appears in nature, such as in the arrangement of leaves, flower petals, and shells.
What is the golden ratio in relation to the Fibonacci Sequence?
The ratio between consecutive Fibonacci numbers approximates the golden ratio, a number often associated with aesthetic and natural harmony.
How does Mathematics help in our world?
Mathematics helps organize and analyze patterns, predict natural behaviors, control processes, and is indispensable in various human activities.
What impact does Mathematics have on technology and daily life?
Mathematics underpins advances in technology, improves daily life, and helps us understand complex systems, from natural phenomena to financial management.
