Designing with Transformations

 

Project Overview

 

Purpose

In this project you will be relating and explaining the concepts from Module 1 to create your own artwork.

 

Process

• You will be prompted to complete the Module 1 Project towards the end of Lesson 5. You can access the entire project from this page at any time.

• Make sure to save all your work in your course folder. You will submit your entire Module 1 Project to your teacher at the end of Module 1. Make sure to show all your work.

Presentation

• The most important part of your project presentation is to clearly explain and support your reasoning with relevant visuals and equations.

• Carefully check the project rubric to be sure you are clear about the expectations for the project.

• You can choose any format you prefer for the final presentation of this project. Some options include a written document, a virtual or real poster, a website, a video, an oral report, a PowerPoint, or other format.

Project Introduction

 

Design is seen in many areas, such as art, crafts, and architecture. In Designing with Transformations you will have a chance to design your own work of art using the transformations studied in this module.

 

In some works of art you can clearly see how shapes or images have been transformed by reflections, stretches, and/or translations. An example is shown.

 

What transformations do you see in the artwork?

 

Project Requirements

 

In this project you will design your own work of art on a grid. This could be a drawing of a logo or a picture. Your image must include the three functions shown plus at least one original function. These functions must then be translated, reflected, and stretched to create your final image.

 

The three functions that must be in your design include the following:

 

 

You must also include at least one function of your own design. Sketch each original function of your own design on Original Function Grid Template.

 

Draw your final image or logo on Final Image Grid Template.

 

Project Checklist

 

The functions in your design must include the transformation of at least four functions:

• the transformations of all three required functions
• the transformation of a function of your own design

Of the four functions in your design

• one function must include a combination of stretches, reflections, and translations
• one function must be produced by reflecting a different function in the line y = x

Highlight four transformed functions you have used in your artwork. For each function, complete the following:

• Describe the series of transformations of each function from the original function.
  
• Determine an equation for the new function in terms of the original function.
  
• State the domain and range of the original function and the transformed function.
  
• Determine whether the inverse is a function. Explain why. Explain the relationship between the domain and range of the function and its inverse.
  
• Describe how your image connects to the ideas learned in this module.

Project Sample

Here is a sample of how two transformed functions could be used to create the image of an ice cream cone.

 

 

Add colour, text, and other design elements that you need to make your final image look complete.

 

Conclusion

Write a brief conclusion to your Module 1 Project. Include a personal reflection of what you learned from the project during and after completion. Be sure to explain why you felt the way you did.

 

Project Assessment

Your Module 1 Project will be evaluated by your teacher using the checklist provided in the Module 1 Project Rubric. Read the rubric carefully. Make sure you have completed the requirements for each of the categories. You can print or save a digital copy of the Module 1 Project Rubric to complete your project self-assessment.