Math Tourist: Capacity in Italy

Essential Questions for students (objectives):  How would define and calculate capacity?
Supplies: video (length 1:55), note-maker
CCSS:  7.G.6 & 7.G.4, G-MG-2,3, Mathematical modeling
Instructional Format: Video, student problem-solving, group work

Time needed: 10 minutes - full class period
Vocabulary for a Word Wall: capacity, area, volume

Description: There are many ways to use this video in your math class.  I filmed it with the express purpose of modeling a concept, capacity, which is a word most of us hear and believe but don’t know how it is determined.  This type of problem is incredibly rich because the variables and constants are not flushed out and must be researched and agreed upon.  This video may be an interesting start for 7th graders, but could be too difficult for them in the long run; however, it may start a conversation about the need for higher levels of math in order to determine such calculations.  This video has two parts and each could be done separately.  I do feel that it leads to great discussion about capacity is a concept that changes once you determine the object that is supposed to fit in the container.

     1) You can show this video (1:55) at the beginning of a unit on area/volume as a hook that will keep the students interested in learning about formulas for area/volume.  You can have them work on the problem at the end of daily lessons (or once a week) armed with new knowledge that they are exploring in class.  Or you could revisit the video at the end of the unit as a formative check to see what the students have learned about area/volume and whether they can apply that knowledge.

      2) You could show this video as a warm-up activity after the students have learned some basic area/volume applications and calculations.  It is a great way to show context to geometry that isn’t the same old find home improvement examples.

Extensions:  How do we determine capacity at zoos – what sizes do the cages or enclosures need to be?  What about the capacity of raising cattle and how does that play into concentrated animal feeding operations (CAFOs)?  How do architects create spaces to help them look larger/smaller and fool the eye?



Book Cover

Help Wanted on
Mont Vernon
This book combines history
and mathematics with
adorable characters to teach
kids about the many talents
of the first U.S. President.

Book Cover

The UnderAchievers:
Woven into a fun story, this
book provides excellent
math lessons for kids.  

Writing Across the Curriculum:
The NumberFix Project


Book Cover

 Wacky We-Search Reports:
A popular book on writing
across the curriculum.