I need help raking my leaves

2023-11-20 09:44:49

I need help raking my leaves

Brian has spent too much time thinking about his leaves. He's worried about raking them alone and thinking about how long the job would take if people helped. In this activity students see the inverse relationship between number of workers and time to complete the whole job. They graph hyperbolas and consider how long the extreme condition of zero people raking might take to complete the job.   Useful extension ideas:

In the middle of a ratio unit?  Use this to see if kids apply proportional reasoning to this situation: Example: If it takes 1 person 12 hours then will it would take 2 people 24 hours?

Studying linear relationships?  Use this to show that not all relationships are linear.  Check out the table, rule and graph compared to linear relations.

They discover that you can't divide by zero.  With 4 people it takes 3 hours to rake my leaves, because 4x3=12 or 12/3=4.  What about 6 people? 6x2=12 or 12/6=2?  What about zero people? Can't happen because nothing multiplied by zero makes 12 and you can't divide 12 up by zero people.

CCSS: 5.G.1 , 5.G.2, 6.EE.6, 6.EE.7, 6.EE.9, 8.F.4, 8.F.5, HSA.CED.2,  HSA.REI.10, HSF.IF.4, HSF.IF.5, HSF.IF.7 MP7, MP8

The Activity: please-no-more-leaves2022.pdf

For members we have an editable Word docx, our Excel work, and solutions.

please-no-more-leaves2022.docx    RakingData.xlsx    please-no-more-leaves2022-solution.pdf

Activity Solutions & Supporting Materials
Share this:
Comments (0)
    Display 1 - 10 Of total 0
    Just some March Madness math
    Today, March 12th, is selection Sunday. Tomorrow...
    How Many Donuts is That?
    Act One:  Take a look at the first pict...
    Should I buy a gasoline, hybrid, or electric car
    Should you buy a hybrid or an electric car to sa...
    The LUGE
    This is one of the fastest Olympic sports. L...
    Memorial Day 2023
       This Monday, Americans w...
    Clean Close Shave
    Take a look at the infographic.  What do you see? ...
    How many Representatives will your state get in 2011?
    The 2010 U. S. Census is almost complete. One ...
    Really stuffed!
    Wow, these cookies look really stuffed...
    Have a heart
    Clicking on the image above will show the hear...