Question

Begin by watching "The Mathematical Secrets of Pascal's Triangle". This is a video primer for your final reflection. Pay attention not only to the uncovered secrets, but also how many math terms and topics we also covered in the course. The video uncovers the secrets of Pascal's triangle and you may have noticed that the terms and topics mentioned, we also covered. The knowledge and skills of the course can be applied to 'unlocking the secrets' of math-applications across

domains and fields we might otherwise have thought had little, if anything, to do with math. Math opens us to new ways of thinking. In short, you have been exposed to the keys that unlock the many new doors to new experiences.

Then, in no more than 500 words, respond to the following prompts:

What are 2-3 of the most beneficial, enjoyable, or interesting things you learned about math during your study of math?

What are 2-3 of the most beneficial, enjoyable, or interesting things you learned during your study of math that can be applied in ways other than working with math?

Finally, how has your belief in your own math abilities changed or been reinforced during your study of math in the course?

Answer 1

During studying math, I learned about Pascal's Triangle, hydraulic systems, and problem-solving skills. Math has practical applications and has reinforced my belief in my math abilities.

Step-by-step explanation:

During my study of math, I learned several beneficial and interesting things:

1. Pascal's Triangle: One of the most interesting things I learned about math is Pascal's Triangle. It is a triangular arrangement of numbers where each number is the sum of the two numbers directly above it. This pattern has several fascinating properties and has applications in probability, combinatorics, and number theory.
2. Hydraulic Systems: Another interesting application of math is in hydraulic systems. Pascal's Principle, which states that any change in pressure applied to an enclosed fluid is transmitted equally in all directions, is the basis for hydraulic systems. Understanding this principle helps in understanding how brakes work in cars and how hydraulic machinery operates.
3. Problem-Solving Skills: Through my study of math, I have developed valuable problem-solving skills. Math teaches logical thinking, attention to detail, and perseverance. These skills can be applied in various areas of life, such as analyzing data, making informed decisions, and solving real-world problems.

Overall, studying math has expanded my knowledge and provided me with practical skills that can be applied in different domains. It has made me realize the importance of math in various fields and has reinforced my belief in my own math abilities.