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

Download PDF Download Editable Files
Share this:
Comments (0)
    Display 1 - 10 Of total 0
    Ranked Choice Voting in NYC
    New York City is still tallying its election...
    How Many Donuts is That?
    Act One:  Take a look at the first pict...
    How many times bigger?
    Listen to students initial thoughts as they wr...
    How much did the tooth fairy give you when you lost a tooth?
       Think back to when you were loosin...
    When will they collide?
    Show the video to your class. Give students time t...
    Want to earn $150,000? - Mersenne prime search
    What's a Mersenne prime?  How hard coul...
    Twinkies
    Brian loves Twinkies and the news that Hoste...
    Extreme weather 2020
    Because of climate change, we've been having...
    Is 2024 a special number?
    Image by dashu83 on Freepik Students are intr...
    Earth's perihelion with the Sun
    Today, Wednesday, January 4th, 2023, Earth w...