Desmos drawing project
When starting to make a drawing on desmos, I was confused on how to make all of the lines and the shapes because I missed two days of class. Most of the time that I spent drawing on desmos I had to do independently without the help of a teacher because of the days of school that I missed. I decided that I wanted to make a drawing of a snowman with lots of buttons, a smile, two eyes, and a hat, like a child's drawing. I used all of the essential requirements by making the smile, eyes, and buttons all out of their own individual circles. The hat was made out of a quadratic function and a rectangle. When I was done with my desmos drawing and tried to turn it in, I forgot to save it an the whole drawing got deleted and I had to start over.
Drawing in desmos made me better understand the concept of y=mx+b. Going into this, I had little understanding of it, and had to constantly look up the equations for all of the shapes and angles to draw what I wanted to draw. Desmos helped me memorize the equations to all of the shapes better than any other method that we have done as a class or that I have done independently or on my own. For example, I had to extend my understanding of quadratic functions to make the waves of the water, and the rays of light that the sun gives off. I had to better understand linear functions to draw the line that separates the beach from the ocean.
Link to desmos project: https://www.desmos.com/calculator/tqg9y2ybx9
Drawing in desmos made me better understand the concept of y=mx+b. Going into this, I had little understanding of it, and had to constantly look up the equations for all of the shapes and angles to draw what I wanted to draw. Desmos helped me memorize the equations to all of the shapes better than any other method that we have done as a class or that I have done independently or on my own. For example, I had to extend my understanding of quadratic functions to make the waves of the water, and the rays of light that the sun gives off. I had to better understand linear functions to draw the line that separates the beach from the ocean.
Link to desmos project: https://www.desmos.com/calculator/tqg9y2ybx9
UNit 3 Reflection
Q1: What content/skills have been most interesting to you?
The most interesting part of this unit for me was learning how to optimize volume and surface area. This was most interesting to me because it connected most with the real world and the workforce. For example, when designing the optimal size of a soda can, a company must use the same type of equation and thought process that we did throughout this unit to optimize and utilize the material given to maximize profits.
Q2: How have you grown mathematically?
I have grown mathematically as well as intellectually throughout this project because I not only learned a new skill in math, I also learned to go into more math projects with an open mind and a mindset to learn something new. When I first came into unit 3, I had a mindset that I couldn't apply what we were learning to the real world, but after doing the POW's and the assignments in it, I learned that any type of math topic can be applied to the real world.
The most interesting part of this unit for me was learning how to optimize volume and surface area. This was most interesting to me because it connected most with the real world and the workforce. For example, when designing the optimal size of a soda can, a company must use the same type of equation and thought process that we did throughout this unit to optimize and utilize the material given to maximize profits.
Q2: How have you grown mathematically?
I have grown mathematically as well as intellectually throughout this project because I not only learned a new skill in math, I also learned to go into more math projects with an open mind and a mindset to learn something new. When I first came into unit 3, I had a mindset that I couldn't apply what we were learning to the real world, but after doing the POW's and the assignments in it, I learned that any type of math topic can be applied to the real world.
Pow reflection
Throughout the duration of geometry, we have been assigned Problem of the week problems that take normal geometry topics and concepts and apply them to real life and the work force. For example, we were assigned a problem of the week in which we had to find the ideal size of a soda can. This POW in particualar made me undestand how basic and complex geometry and math concepts can be applied to the real world.
pow 5: Ideal soda can
pow_5_the_ideal_soda_can.pages.zip |
POw 2: the triangle problem
pow_2_write_up.pages.zip |
Unit 2 Reflection: Shadows, Similarity and Right Triangle Trigonometry
Q1: What has been the work you are most proud of in this unit?
The work I am most proud of in this unit is the unit 2 packet because when working on it in
Q2: What skills are you developing in geometry/math? Skills can be applied across mathematics – think graphing, creating tables, creating diagrams or mathematical models, approaching problems in different ways (by testing cases, by testing extreme examples, by setting up a tabl initiating/approaching hard problems, e), or learning how to use your graphing calculator to fit equations to data.
Q3: Choose one topic: similarity (ratios) or trigonometry. Explain what it is. Provide an example of how it is used in mathematics to solve problems. State an application of the topic in the adult world that interests you (i.e. scaled replicas of sculptures, gearing ratios, scaled models for architecture, trigonometry in construction or blood splatter analysis, etc).
Trigonometry is the process of using sine, cosine, and tangent to find a missing side or an on a triangle. This can be applied to real life careers and jobs such as analyzing the trajectory of blood spatter in forensic science when investigating a crime scene.
The work I am most proud of in this unit is the unit 2 packet because when working on it in
Q2: What skills are you developing in geometry/math? Skills can be applied across mathematics – think graphing, creating tables, creating diagrams or mathematical models, approaching problems in different ways (by testing cases, by testing extreme examples, by setting up a tabl initiating/approaching hard problems, e), or learning how to use your graphing calculator to fit equations to data.
Q3: Choose one topic: similarity (ratios) or trigonometry. Explain what it is. Provide an example of how it is used in mathematics to solve problems. State an application of the topic in the adult world that interests you (i.e. scaled replicas of sculptures, gearing ratios, scaled models for architecture, trigonometry in construction or blood splatter analysis, etc).
Trigonometry is the process of using sine, cosine, and tangent to find a missing side or an on a triangle. This can be applied to real life careers and jobs such as analyzing the trajectory of blood spatter in forensic science when investigating a crime scene.
Snail tRAIL GEOGEBRA REFLECTION
When clicking on the "snails" and dragging them, each one mimics the others, creating symmetry in the picture. The colors of each "snail" make it is easy to tell that there were six separate dots, and to show that each one copies the corresponding dot. If the color was to be removed, there would still be symmetry, but it would change from rotational to reflection symmetry.
Burning tent lab
1.) Once you have a minimal path, what appears to be true about the incoming angle and the outgoing angle?
When the minimal path is found, the incoming and outgoing angle become very similar to each other.
2.) Why is the path from points Camper to TentFire' the shortest path? Briefly explain. (Think about the shortest distance between two points.)
The path is the shortest because the two angles become the closest to being equal at this point.
3.) Where should the point River be located in relation to segment Camper to TentFire' and line AB so that the sum of the distances is minimized?
When the minimal path is found, the incoming and outgoing angle become very similar to each other.
2.) Why is the path from points Camper to TentFire' the shortest path? Briefly explain. (Think about the shortest distance between two points.)
The path is the shortest because the two angles become the closest to being equal at this point.
3.) Where should the point River be located in relation to segment Camper to TentFire' and line AB so that the sum of the distances is minimized?