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3 Acts - Mmm Juice

1/5/2012

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So, I am kind of on a binge right now with my 3 act posts, but I have had this one for awhile and I have not posted it, but after reading this comment on Dan Meyer's blog I decided I should put this up as a possible elementary level 3 acts lesson.  Here it is....

Act 1 - Mmm Juice....

I have a goofy little set up for this, where I say I'm making drinks for my friends, do I have enough?
Ask them what they think?  If so how many glasses do you think I can fill?  Give me a number that is too high and a number that too is small.  Ask your students what information we need to know.  Then we are on to Act 2 (and here is where the differentiation comes in...

Act 2 - Measurements (Grades 4-6?)

Picture

Act 2 Measurements (Grades 8-10)

If you want students to find the volume of each of these containers you can use these pictures to do the trick (jump-high-five for differentiation!).
Picture
Picture

Act 3 The Reveal

Sequels

  • How many cans of juice do I need to give one cup of juice to the whole class? To the whole school?
  • How big of a container do I need to hold all the juice for the whole class? The whole school?
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3 Acts - Mega Coin

1/5/2012

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When it comes to anyqs, I find that the ones that interest me the most are the images or videos that blow my mind by sheer scale.  A seven wonders of the world sort of deal rings deep within my soul, and so I offer you MEGACOIN!  

Act 1 - The Coin

Picture
HOLY CRAP THAT IS HUGE! Here is where I would ask "How much is this coin worth?" Let students ask questions.  I am debating if I want to let them know it is made of pure Gold or should I let them follow any rabbit trail they want.  They'll probably guess it's gold.

Act 2 - The measurements

There is a lot that goes on with this one.  We have volume, density, rates, ratios, it is all fantastic!

Act 3 - The Reveal

And the final answer is...
Picture
Picture

The Sequels

I have actually been able to think of a few cool sequels based on this (which makes me happy since this is the hardest part for me).

  • What could the dimensions for a true million dollar coin be? A billion dollar coin?  A trillion dollar coin?
  • Using the following chart, how much would this coin be worth today?  Did the people that bought these make a good investment?
Picture
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3 Acts - Viva Las Colas!

11/19/2011

2 Comments

 
So apparently I really like pop as you can see here and here. Before we begin I feel I have to let you know my teeth are not rotting, and I do not have a coke addiction, okay clear?  So here's what you came for

Act 1 - The Really Big Bottle!

Picture
This is the Coca Cola store in Las Vegas Nevada, and when we went in for a drink, we were pleased to read the trivia on our drink tray.  This is what we found.
Picture
Score!

Act 2 - Measurements

The trivia tray also had some vital information for our cause, here it is.  I was trying to figure out the best way to edit these images.  I would like to here some critique of my design, to try to find out what looks best, but this is my attempt.
The way I saw solving this was to map some function to the coke bottle, and use our lovely calculus to find the volume by rotating, so I developed a bare bones Geogebra app with sliders and the picture to find a sinusoidal function that would work (an assumption I made, too much for students?). I wonder if this should be an Act 2 artifact or if students should come up with this themselves.
coke.ggb
File Size: 1526 kb
File Type: ggb
Download File

Act 3 - Reveal

As I am sure you have seen these sorts of answer reveals on trivia trays, they have the answer flipped upside down, and once again, I am not sure of the best way to present this reveal.  So here are my two copies of the reveal.

Possible Solutions

As I already stated I used rotation to find the volume, then I had to convert to ounces, and then divide by 8.  With GGB I found these equations and these points.
Picture
And I allowed wolfram to do the rest
solution_-_coca_cola.pdf
File Size: 244 kb
File Type: pdf
Download File

In wolfram it converts it to "ounces" but the final answer is really number of 8 ounce coke bottles, and with a number greater than 6 million, I think I can say that we need to have a talk with the math coordinator at Coca Cola Las Vegas.  (Assuming I used my math right, could you guys check that for me?)

Sequels

I can think of only a few...
  • Create a scale picture on GGB (using either a cylinder, or a sphere from the front, or a bottle) to show the true size of 8,000,000 ounces.
  • If we could fill this coke bottle with 8,000,000 ounces, how full would the bottle be?  Did the "math coordinator" account for coke bottles having air?
  • How much would it cost to fill a coke bottle this large? How much would it cost a consumer to buy that much Coca-Cola?

And without further ado the complete package zip file.
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