This project required planning a cross-country road trip, in this project me and my teammate decide to first from Philadelphia → Cleveland → Detroit → Chicago → Denver → Phoenix → LA → Las Vegas → Sacramento → Atlanta and last to Boston. We need to using coordinate geometry like distance and midpoint formula to calculate the road distances and the straight distance to find the difference of these two distances.
School Values: Critical Thinking - Identification of Changes
I identified several ways to improve my future work, such as double-checking the rubric and also showing all my work. I need to show all my work to make sure that the teacher who graded my assignment knows how I got my numbers. Double-checking the rubric is also very important for my future assignment/work. For this assignment, I didn't really check the well, so I didn't finish the work, which made me lose points. So for the future, I need to check the rubric before the assignment and also finish the assignment, to make sure that I have gotten all the things that are needed, and also ask the teacher at any time.
School Values: Critical Thinking – Connection to Other Classwork
It connects to my math class in 7th grade, in which I learned about route optimization and calculated the difference in cost between the original long route and the optimization. I also use the distance formula to find the distance between two places, and use different transportation to determine which one is the best. I have the base from the 7th grade, I have learn more easily this year, I can easily answer the question in the class. And also it connects to my geography project, in this project we need to find the antipode of one place, and use the distance formula to calculate the distance, and also plan how to get to the other side of the antipode as fast as possible. This project is the first time that I have met the distance formula, which also gives me the basis for using the distance formula.
Global Citizenship - Identification of Global Issue
In this project, we have road distance, so it means that we need to drive a car for a cross-country trip, which will cause much air pollution. So I decided to have an eco-optimized route, I want to have no backtracking, which can help me cut 300+ miles, lowering the CO2 emissions. And this aligns with UN Sustainable Goal 13.
Global Citizenship - Identification of Local/Regional Issue
I want to connect this with Taiwan's domestic travel efficiency. I decided to have a midpoint pit stop plan, like setting a midpoint in Denver- Phoenix, which was near Flagstaff, similar to Taiwan's EV charging station placement, which uses midpoints to ensure equitable access.
Growth: Work/Study Habits
I created a road trip checklist for every city. I need to list the coordinate→ calculate the distance→ search the road distance → compare the distance of these two→ convert units, which can help me to avoid calculation errors. This type of planning also helps me a bit in my Unit 2 assessment to check for distance and midpoint problems.
Class-specific 2: Application & Problem Solving
I accurately applied distance and midpoint concepts to both familiar and unfamiliar contexts. For example, I used the midpoint formula to find a rest stop for Las Vegas-Sacramento. I confirmed my solution by using Google Maps, showing creativity and confidence in using math to model road trip logistics.
Growth – Connection to Future Plans
In the future, when I go on a trip, I need to have a good plan. I now know I have learned about the distance, which can help me to think about which mode of transportation I can take, and also expand. I can think about how many days, the hotel, all the things, I need to weigh the pros and cons, and find the best plan for my trip.
This unit test is about how to use the midpoint formula and distance formula correctly, and in the test, there is also a test on calculating the centroid, circumcenter, perpendicular bisector, and median.
Growth – Vertical Growth
This unit has extended my knowledge of the triangle. I have learned the centroid formula, which was new to me from the past math class I took, but it was also built on the base of my past class; it helps me connect my new skill to the knowledge I know from the past. It makes me have better progress and understanding.
In this project, we need to choose a project to do. I have chosen Da'an Park. In this project, we need to use the circle, calculate the midpoint, find the perpendicular bisectors, and also the tangent and secant lines.
Global Citizenship – Appreciation of Difference
When I saw my classmate's project, I saw that my classmate had solved the same thing but using different ways. I started to think about whether my classmate's way is correct, and why it is correct. It makes me know that by looking at the problem, I can also solve the problem correctly. I learn that when I was stuck, I can use a different view to see the question. And it also helps me know the different equations; it helps me add a new weapon to my arsenal.
Peer and teacher feedback helped me realize where I went wrong, and I used the feedback to fix the work more clearly and make my graph look more accurate. And at last I got a full mark on this project, my peer and teacher's help had helped me a big part of it.
Class-Specific 3: Mathematical Communication
In this project, I used precise math language. I use the correct formula. My graph, equation, and steps are clear and organized, it is labeled, and it was easy to read and follow what I thought back then.
Conventions & Polish
My reflection have stay on the topic, and have no grammar mistake, make the reader easy to follow, and now where my reflection are connect with my graph. The reflection make my final project better.
Class-Specific 1: Conceptual Understanding of Mathematics
I have deeply understood the parabola. I know what the formula represents; I cannot only calculate, but also explain the different parts of the meaning, and also know how to use a parabola. I know about how the rate change affects the graph and can explain why it affects the graph. It shows that I have a good conceptual understanding of a parabola.
My writing was grammatically correct and no typos, run-ons, or subject-verb errors, and clearly formatted: the road trip used bold-header tables for distance and midpoint math and short description of the city.And I have follow the rule, base on numbered steps and label graphs.And in this chapter I have learned some new key terms, and review the math that I have learned in before.