Functions: Defining, Understanding, Graphing and Using Function Notation

During my Functions lesson, I'd like to challenge my implementation of outside sources into the classroom, specifically with technology usage and also have a project based learning activity. I'd like to reacquaint myself with all the different modes, buttons and additional uses of the TI calculators.

Common Core Standard: 

Goal for this Lesson:

In addition to presenting students with different types of functions and how graph them, in this unit I'd like to incorporate more technology use. I'd like to include in class calculator tutorials and provide additional supplementary tutorials on how to graph a function (including how to limit it's domain and range on the calculator). Additionally, I'd like to search through the internet for a computer graphing tool that could lead students into a functions project. I found this resource and I'd show my students this resources as an application example for functions. This will allow them to connect how computer programs use functions to create images that they'd typically see in cartoons or animations. 

Also, I found a similar project online where students are prompted to create images using different functions. This will be a simpler for them and therefore, more realistically achievable with a smaller time frame. Below are the table and graphed final product that allow students to create awesome images from functions. ( I personally wouldn't encourage such a complex shape for middle schoolers but for the high achiever students this would be suggested, maybe in an honors class.)

Reflection: In order for students to successfully complete this project, students should be taught all the different functions available to use. They also need to learn how the domain relates to the range, and how to write the notation given the image they'd like to create. Additionally, they need to learn what DOES NOT make a function, this will limit the more adventurous images that student may create.

Additional Resources:

Functions:
Paul's Notes: http://tutorial.math.lamar.edu/Classes/CalcI/Functions.aspx
Intro to Functions Video: https://www.youtube.com/watch?v=tAoe4xjUZQk
Khan Academy: https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:evaluating-functions/v/what-is-a-function
Additional Website: https://courses.lumenlearning.com/boundless-algebra/chapter/introduction-to-functions/  

 Calculator Tutorials:
https://www.youtube.com/watch?v=q1OEXc_Gio4
https://www.youtube.com/watch?v=oHyoeRsSH0g