Kyler Paluch's E- portfolio

Graded Assignment 02

In unit 1, I learned about how networks and graphs can be used to represent connections between places or ideas. We studied concepts such as Euler paths, which travel across every edge once, and Hamilton pass, which visit every vortex once. I also explored how these models can be applied to real world situations, such as planning routes for transportation or deliveries. This unit showed me that graph theory is not just abstract math, but a powerful tool for solving everyday problems.

3 things from my notebook 

Real life example

 When I look at a city bus map I realize it can be used as a network graph where bus stops are vertices and routes are edges. Planning a route that visits all stops without repeating too many paths is like finding an euler path. This shows how the concept we learned in unit one applied to the actual transportation systems.

Graded assignment 06

 In unit 2 I learned how to apply mathematical reasoning to solve real world problems using concepts such as the angle of elevation, aspect ratio and significant digits. These skills help me understand how math connects to everyday situations like measuring movie screens or mountain climbing. I also practice using the cosines To find  Distances That cannot be measured directly, and learned the importance of precision when interpreting measurements. This unit showed me how advanced quantitative reasoning helps describe and solve practical problems accurately.

3 things from my notebook 

Real life example 

 This TV shows the concept aspect Ratio, which I learned in unit two. Modern TV's often use a 16:9 Ratio, while older movies were filmed in Different ratios such as 3.25:1.   This effects how the image fits on the screen and demonstrates how geometry and proportion are used in technology and media.

graded assignment 12

one paragraph summary 

Unit 3 taught us how to use probability to understand and predict outcomes. We learned about independent events, where one event does not affect another, and conditional probability, which shows the chance of an event happening given that something else has already happened. The unit also showed how to use tables and diagrams to calculate probabilities and make better decisions in real life.

3 pages from my notebook