Using the USATODAY® Infograph, "Ballooning Inside the Box," students will explore geometric relationships using similar triangles. Identifying triangles with two pairs of congruent angles to explore similarity properties of the triangles is an essential part of this activity. Students will learn what happens to the ratios of corresponding sides of a variety of similar triangles.
Before the Activity
Provide one graphing calculator for each student. Each student should have a copy of the corresponding student activity sheet. Provide each student with the following calculator file (AppVar) SIMILAR.
During the Activity
Have the students link their calculators and share the AppVar as part of the class period on the previous day or during the beginning of the class period when you are going to use this activity. Insure that graphing calculators have been updated with latest versions of operating system and Cabri Jr.
Go over the relationship between the angle of incidence and the angle of reflection so that the students will understand why the triangles formed are similar.
Review opening an AppVars using Cabri Jr. with your class before starting the activity.
Students can work individually or in groups to assist each other during the activity.
Have students discuss their discoveries while they work to better understand the relationships.
Before starting the AppVars, remind students to carefully read the opening screen and the activity pages.
It will help students to draw a diagram of the problem before starting Activity 2.
After the Activity
Review student answers
As a class, discuss questions that appeared to be more challenging
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).