DESMOS DRAWING PROJECT
Question 1: What content/skills have been most interesting to you?
Answer: My favorite thing about this unit, is learning the formulas for volume, circumferences, areas, etc. That's what I like about math; it can be so orderly and step-by-step. The most interesting part of Unit 3 to me has been learning about finding the dimensions of different shapes by using the formulas.
Question 2: How have you grown mathematically?
Answer: I have grown mathematically in this unit by learning how to take more detailed notes. With the different shapes, and different scenarios, you need clear spots to find the right formula to use. I have learned how to label formulas, and write a short description on when to use it. I have grown as a mathematician by just becoming more cautious when solving a problem.
Answer: My favorite thing about this unit, is learning the formulas for volume, circumferences, areas, etc. That's what I like about math; it can be so orderly and step-by-step. The most interesting part of Unit 3 to me has been learning about finding the dimensions of different shapes by using the formulas.
Question 2: How have you grown mathematically?
Answer: I have grown mathematically in this unit by learning how to take more detailed notes. With the different shapes, and different scenarios, you need clear spots to find the right formula to use. I have learned how to label formulas, and write a short description on when to use it. I have grown as a mathematician by just becoming more cautious when solving a problem.
SHADOWS, SIMILARITY, AND RIGHT TRIANGLE TRIGONOMETRY
QUESTION 1: WHAT WORK HAVE YOU BEEN MOST PROUD OF IN THIS UNIT?
ANSWER: From this unit, I think the work I am most proud of is the second POW from Semester 2. This is because I put a lot of effort into the POW write up, and took a lot away from the problem. I understood the problem well enough to really focus on how to solve the problem, versus struggling with it and faking my way through the POW.
QUESTION 2: WHAT SKILLS ARE YOU DEVELOPING IN GEOMETRY?
ANSWER: In geometry, I have been developing skills of critical thinking and perseverance. In Caitlyn's geometry class, the answers are not handed to you. When I'm confused on a unit, or a POW, I have learned to persevere through the challenging aspects of a problem instead of putting half effort into a problem because I don't understand it.
QUESTION 3: WHAT IS TRIGONOMETRY, AND HOW IS IT USED?
ANSWER: Trigonometry is the branch of mathematics that deals with the relationships of angles and sides of triangles. Trigonometry can be applied in physics, astronomy, geography, and engineering. Trig can be used in a math class to find angles, areas, circle sector areas, and many other relationships to shapes.
ANSWER: From this unit, I think the work I am most proud of is the second POW from Semester 2. This is because I put a lot of effort into the POW write up, and took a lot away from the problem. I understood the problem well enough to really focus on how to solve the problem, versus struggling with it and faking my way through the POW.
QUESTION 2: WHAT SKILLS ARE YOU DEVELOPING IN GEOMETRY?
ANSWER: In geometry, I have been developing skills of critical thinking and perseverance. In Caitlyn's geometry class, the answers are not handed to you. When I'm confused on a unit, or a POW, I have learned to persevere through the challenging aspects of a problem instead of putting half effort into a problem because I don't understand it.
QUESTION 3: WHAT IS TRIGONOMETRY, AND HOW IS IT USED?
ANSWER: Trigonometry is the branch of mathematics that deals with the relationships of angles and sides of triangles. Trigonometry can be applied in physics, astronomy, geography, and engineering. Trig can be used in a math class to find angles, areas, circle sector areas, and many other relationships to shapes.
REFLECTION QUESTION: How have problems of the week helped you grow mathematically?
ANSWER: I think that POWs are worth while, as long as I understand the concept of it clearly. If I understand the tools that are going to be used to find the solution, then I really don't mind doing them. I think that they have helped me grow mathematically by making me very conscious of my steps and process to solving a problem, and the POWs also make sure that you are doing your own work, or that you at least understand how you found the solution. The POWs have helped me develop skills such as critical thinking, as well as expressing my thoughts behind problem solving in writing. As a student, I tend to over think processes, I don't have my steps in order, or if I do, I think it's wrong. So, with a POW write up, when I have to reflect on how I found my solutions, it clarifies my processes for future problems.
"BURNING TENT LAB"
Question 1: Once you have a minimal path, what appears to be true about the incoming angle and the outgoing angle?
Answer: Angles opposite of each other are almost equal.
Question 2: Why is the path from points Camper to Tent Fire the shortest path? Briefly explain.
Answer: From the camper to the tent fire is the shortest path because the angle from the river to the tent fire is wider that the angle from the camper to the tent fire.
Question 3: Where should the point River be located in relation to segment Camper to Tent Fire and line AB so that the sum of the distances is minimized?
Answer: Point R (Point River) should be located in the center of C and T because it would be an equal length.
Answer: Angles opposite of each other are almost equal.
Question 2: Why is the path from points Camper to Tent Fire the shortest path? Briefly explain.
Answer: From the camper to the tent fire is the shortest path because the angle from the river to the tent fire is wider that the angle from the camper to the tent fire.
Question 3: Where should the point River be located in relation to segment Camper to Tent Fire and line AB so that the sum of the distances is minimized?
Answer: Point R (Point River) should be located in the center of C and T because it would be an equal length.
"SNAIL TRAIL" LAB
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To create this image, I dragged the blue dot down, and then up, and it melded with the orange line. I noticed that if I crossed colors, they would combine into one another, and if you create a shape, it automatically reflects, creating the other shapes. The "copied" shapes are rotated a little bit each time to make the round shape above.