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
    Temperature change (Discussion Prompts)
        Note: This is not intended...
    Mystical Mathematical Mind Reader
      Clicking on this image will take...
    Do the best movies make the most money?
    Do the "Best" movies make...
    Greasing light poles
    The Philadelphia police were bein...
    Earth Day Actions for Our Planet (April 22)
    We have 16 activities that you...
    What is with this chart?
    A fellow teacher, Laura Deschai...
    Mixing colors with food dye
    It's time to dye eggs! What do you w...
    That's a big tomato!
    These Aussi tomatoes (the tomato on the left o...
    Should I get the Big One?
      Let your students decide if the ...