The student will use a rectangle of fixed perimeter to find the dimensions of the rectangle of maximum area.
Before the Activity
Instruction that precedes this lesson must include discussion and practice with quadratics and regression from data. The skill of data capture may be previously introduced, or introduced at this time.
During the Activity
See student handout. Have each student begin by using the randInt command, and picking a number between 10 and 50 (or something reasonable) for their fixed perimeter. This will randomize the results, but students can still work together and help each other.
After the Activity
Assessment and evaluation:
Students' documents provide either formative or summative assessment data for the teacher.
A similar problem can be given later and students asked to solve on their own.
Activity extensions:
Use different shapes for the perimeter part of the problem, but continue to maximize volume
Have students build their shapes of maximum volume and create a nice diagram or 3-D display
iPad is a trademark of Apple Inc., registered in the U.S. and other countries.
Vernier EasyData,Vernier EasyLink and Vernier EasyTemp are registered trademarks of Vernier Science Education.
TI websites use cookies to optimize site functionality and improve your experience. To find out more or to change your preferences, see our cookie policy page. Click Agree and Proceed to accept cookies and enter the site.
Control your cookie preferences
You can control your preferences for how we use cookies to collect and use information while you're on TI websites by adjusting the status of these categories.
Category
Description
Allow
Analytics and performance cookies
These cookies, including cookies from Google Analytics, allow us to recognize and count the number of visitors on TI sites and see how visitors navigate our sites. This helps us improve the way TI sites work (for example, by making it easier for you to find information on the site).
Advertising and marketing cookies
These cookies enable interest-based advertising on TI sites and third-party websites using information you make available to us when you interact with our sites. Interest-based ads are displayed to you based on cookies linked to your online activities, such as viewing products on our sites. We may also share this information with third parties for these purposes. These cookies help us tailor advertisements to better match your interests, manage the frequency with which you see an advertisement, and understand the effectiveness of our advertising.
Functional cookies
These cookies help identify who you are and store your activity and account information in order to deliver enhanced functionality, including a more personalized and relevant experience on our sites. If you do not allow these cookies, some or all site features and services may not function properly.
If you do not allow these cookies, some or all of the site features and services may not function properly.
Social media cookies
These cookies allow identification of users and content connected to online social media, such as Facebook, Twitter and other social media platforms, and help TI improve its social media outreach.
Strictly necessary
These cookies are necessary for the operation of TI sites or to fulfill your requests (for example, to track what items you have placed into your cart on the TI.com, to access secure areas of the TI site, or to manage your configured cookie preferences).
