Tag: #criticalthinkingcc

Desmos Art Functions Card 2023

1) how you figured out what equations to use?

  • Before I drew the line, I observed the shape of the part I wanted to work on and write down a few different types of functions to compare which one perfectly fit.

(2) Did you have any challenges?

  • I had a lot of challenges throughout the whole process. The line of the function did not go the way that I want, so I needed to keep changing numbers and try. And the one line in the image would use a couple of functions to make.

(3) Any aha moments?

  • I figured out that all the places I got stuck can use the radical function. And when I tried to fill in the color, always had errors then found out that I mark a bunch of functions with the same numbers.

(4) Did you get help?

  • Yes, when I got to struggle with things, I asked the teacher.

(5) Did you use any strategies?

  • I would say not the strategies, but the experiences, when I worked on the half-last part of the picture, I felt my speed was faster and could decide which kind of function would fit different lines.

(6) How did this assignment help you understand more about transformations of functions and relations? 

  • Before doing this project, I only knew the shapes of functions and their names. But doing this project, I needed to create the functions by myself and also at the time needed to move them to the place I need. Through the project, I had a better understanding of transformation and expanding functions and also had a clear thinking of different types of functions. Overall, the project helped me have a deeper understanding of functions on the application side.

Mark

EDUBLOG POST: Process (5 marks)

Score

5

I clearly described my process, strategies and how I resolved any difficulties I encountered. I correctly Tagged and Categorized my post. I inserted a picture of my desmos post card and the original picture.

5

1

My explanation lacks detail and/or I have not described my problem-solving process. The link, desmospicture and/or original picture are missing.

 

0

I did not complete the Edublog post.

 

Folders (5 marks)

 

5

My folders are labelled with parts/objects/letters, and I correctly identified EVERY type of function and relation used.

5

2

My folders are labelled with body parts and types of functions used. Some functions are not identified or incorrectly identified.

 

0

I did not use folders.

 

Image (10 marks)

 

10

My drawing resembles the photo I chose

10

5

My drawing is starting to look like the photo chosen

 

1

My drawing is missing or incomplete

 

Aesthetics (10 marks)

 

10

Color and shading were used to strategically replicate the picture.

10

5

A little shading was used.

 

1

No thought was put into the use of color or shading

 

Functions & Relations (10 marks)

 

10

I used all 10 types of functions/Relations required. Absolute Value, Polynomial, Rational, Radical, Trigonometric, Exponential and Logarithmic, Sideways Parabolas, Semicircles, Ellipses.

10

x

I used only x of the required types

 

Function notation (30 marks)    

 

30

I made excellent use of function notation to transform the same function repeatedly  

30

10

I used function notation a few times to transform the same function repeatedly.

 

0

I wrote new equations every single time and did not use function notation.

 

Creativity and Complexity of Functions & Relations (30 marks)

 

30

My equations show complexity and creativity. I used multiple transformations. (Stretches, Reflections, Translations, Inverses). I made excellent use of domain and/or range restrictions. I combined functions from different units.

30

15

I used mostly the same type of functions, with some transformations. My functions sometimes overlap because I could not figure out the correct domain and/or range.

 

10

My equations lack complexity and creativity.

 

Total mark:

(100)

 

100

 

Desmos Art Functions Card 2021

When I first time got the project, I was confused and did not know why math class need to do an art project. But after I finished it, I realized that the process is the best way to let me understand and make it to my own thing. During the process of the project, I had a lot of problems, such as did not know how to make shadows, did not know how to make circles, how to change colors. When I had questions I went to ask the teacher, and then figured then put them perfectly.

This picture is not my first try, my first photo has two people and it is much harder than this one, when I finished a few lines for the first photo, I thought it is impossible to finish, so I changed the picture. But now I think I have the confidence to finish that, and I think I will challenge it later.