Contexts to Introduce Limits in Calculus (Miss America, Sprinting, Horse Racing)

Subjects
Grade Levels
Product Rating
Not yet rated
File Type
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
2.77 MB   |   3 pages

PRODUCT DESCRIPTION

Before teaching students how to find a limit on discontinuous, piecewise, and other complex graphs, first build your students’ understanding of a limit on a graph with a context they can talk about!

In this lesson, we explore 3 contexts:
• The changing body mass index of Miss America (which also serves as a review on domain/range and revising a model,
• The human potential for average speed in the 100m, 200m, 400m, 800m and 1500m races, and
• The average speeds of horses in the Kentucky Derby, Preakness Stakes, and Belmont Stakes

The “hook” videos include:
➢ https://youtu.be/xN6ZOc_EHTg
Usain Bolt’s 100m races when he broke the World Record (3 times!). Each race you hear the excitement of the crowd and the announcers as they cannot believe the WR has been broken...yet again! Is it possible it can be broken again? Will humans continue to get faster and faster or is there a limit to our potential?

➢ https://youtu.be/fIjKl54-0jY
Secretariat’s record-breaking Kentucky Derby time of 1:59.40 in the 1 ¼ mile. This happened in 1973! American Pharoah recently won the Triple Crown (2015) as did Secretariat, but when will another horse break the record time?

I hope this lesson helps your students understand and talk about limits. While I use this lesson in my AP Calculus class, it can also be used in an Algebra 1, Algebra 2, or Precalculus class for discussion on domain/range, end behavior in graphs, and discussion of fit of a model to a scatterplot.
Please remember to leave a review for $.99 off your next purchase!
Total Pages
3
Answer Key
Not Included
Teaching Duration
N/A

Average Ratings

N/A
Overall Quality:
N/A
Accuracy:
N/A
Practicality:
N/A
Thoroughness:
N/A
Creativity:
N/A
Clarity:
N/A
Total:
0 ratings
COMMENTS AND RATINGS:
Please log in to post a question.
PRODUCT QUESTIONS AND ANSWERS:
$3.00
Digital Download
ADD ONE TO CART
User Rating: 4.0/4.0
 (5 Followers)
$3.00
Digital Download
ADD ONE TO CART
Contexts to Introduce Limits in Calculus (Miss America, Sp
Teachers Pay Teachers

Teachers Pay Teachers is an online marketplace where teachers buy and sell original educational materials.

Learn More

Keep in Touch!

Sign up