Learning Resources
Lesson
To maintain the central theme of the unit, a chapter project is included for each unit in this textbook. The project is introduced early and builds as the necessary skills and knowledge are attained. It is usually completed as the chapter ends and models the processes used to solve real world problems. This is the same type of activity used in Mathematics 2205. As each part is introduced it should be completed in its entirety such that it can be submitted, if requested, at the end of the unit or any time during the unit for evaluation.
To effectively manage a chapter project you should
- set up a chapter project folder or binder
- copy the essential information from each part of the project into your folder
- include diagrams, models, pictures or any other support material
- date and complete each stage of the project
- write any impressions or comments concerning the project at the end of each entry
This project will continue to build in sections 1.2, 1.3 and 1.4. Complete each stage as it is presented.
Good luck with the start of your first project !
The basic idea of this project is straight forward and easy to follow. The 100 meters of fencing has to be used to enclose two separate square plots. Therefore, if 1 meter is used for one plot that 99 must be used for the second. In general x meters represents one plot than (100 - x ) will represent the second. Of course these lengths will be the perimeter of each. Since these are square plots, each side will be one quarter of the perimeter. To help organize the material a table such as the following will help:
| Perimeter of one square | 1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
| Total Area of Two |
Using your results and the sequences of differences, you should be able to find the equation representing the total area.
To address the problem in question (c), use the same procedure, but instead of using perimeter to find each side you must use circumference ( 
) and determine the radius of each circle. Then calculate your total area for the two circles in a table as above using the area formula for a circle (
). Continue using the same procedure as question (b) to find the required quadratic equation.
Activity
Complete the questions contained in the Chapter Project if assigned by your teacher. If assigned, prepare it for presentation since it may be requested at any time during the progress of the chapter.
Test Yourself
Discuss the issues surrounding this problem with your classmates and teacher.