Students learn to organize data, look for patterns, and solve problems. They will count the number of "coins" in a variation of The Twelve Days of Christmas song. They will also generalize the patterns through symbolic expressions.
Before the Activity
See the attached PDF file for detailed instructions for this activity
Print the transparency sheet and pages 4 - 5 from the attached Student PDF file for your class
During the Activity
Distribute the page to the class.
Follow the activity procedures:
Act out the first three days of the poem
Count the coins received each day
Organize the data by listing in a table the day, number of coins received on the day, and the total number of coins
Predict the number of coins received on other days
Complete the table with data for 12 days
Use an algebraic expression to generalize the pattern
Extend the pattern and find the number of coins received after a set number of days
Observe that the sum of the first n whole numbers is n (n + 1)/2
After the Activity
Students complete the activity sheet and answer questions.
Review student results
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).