Learning Resources

Home »  » Courses » Mathematics » Advanced Mathematics 3207 (delisted) » Unit 03 » Set 01 ILO 03 » Go to Work

Lesson

This chapter project requires you to use graphs of various types of functions to model the features of an illustration. What illustration, you may ask. Well, you can choose to illustrate anything you desire. A cartoon character, a race car, your favourite teacher or a motorcycle are just some of the endless possibilities.

To create your drawing you may use some or all of the functions encountered in this unit of study, as well as other functions you have already met. Examples of such may be quadratic, functions of circles and ellipses, trigonometric  functions, and exponential and logarithmic functions.  You will not be expected to finalize your choices of functions until you have worked through most of this chapter.

Begin by reading the description of the example provided in the textbook on page 135. The initial stage of your project should be drawing your rough sketch and transferring it to a coordinate grid. As you do this, bear in mind two things:

  • As you progress through this chapter you will continue to learn about other types of functions, some or all of which you will be expected to incorporate in your project. Thus, you should be trying to create illustrations that involve various interesting curves as opposed to mainly straight lines.
  • Be aware of any symmetrical features your sketch may contain, as this may determine where you locate the origin of your grid.

Also, it is very likely you may want to revise your sketch as you progress with your project. Thus, you might choose to do your original illustration in pencil.

Good luck with this project--you will enjoy the process! Be creative and don't be afraid to use your imagination.

Activity

Begin the Chapter Project as outlined on page 135 of your textbook.

Test Yourself

There is no self test for this lesson.