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
    Women's World Cup - How many matches are left?
    The first round of Group play has finished a...
    This shoe is huge!
    Brian and his son were doing some shopping when ...
    Will sending you back to school this year cost a fortune?
    With high inflation rates, supply short...
    How many movies can you see in one day?
    Robert Kaplinsky at robertkaplinsky.com shared thi...
    Souvenirs and concessions
    Brian has introduced systems of equations with e...
    How much water should you be drinking?
    As we are outdoors more and temperatures are ris...
    Really old
    Tom Lehrer is a singer, songwriter,...
    Do you want to be an NBA virtual fan?
    For health concerns, professional sports now hav...
    Eliud Kipchoge runs marathon in 1:59:40.2
      Eliud Kipchoge breaks 2 hour marathon ba...