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Calculus is Sweet!

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by

Haley Campbell

on 18 June 2013

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Transcript of Calculus is Sweet!

Calculus is Sweet!
By: Erika Isner & Haley Campbell
Imagine...
You work for the Tootsie Pop lollipop company...
How many licks does it take to get to the center of a Tootsie Pop?
Any guesses?
Licking the problem with calculus
Materials: Tootsie Pops, string, marker, ruler, calculator, mouth, and calculus!

Important steps to the Experiment:

1. Determine circumference
2. Lick lollipop in 10 lick intervals
3. Determine radius for each trial
4. Determine volume for each trial
5. Calculate rate of change in volume
Our Experiment Data
Data Calculations
Calculating Rate of Change
Variables in Experiment:
Fundamental Equations used in Experiment
Finding an equation relating the constant change in volume to the variables r (radius) and l (licks):
Finding the value for c, or the initial value in the equation for the radius:
Finding the radius of the tootsie candy that is inside the lollipop:
Circumference of the candy:
Finding how many licks it takes to get to the center (tootsie candy) of a tootsie pop!
Apply to a Different Type of Lollipop
mm
Data Calculations
Calculating Rate of Change
Finding an equation relating the constant change in volume to the variables r (radius) and l (licks):
Finding the value for c, or the initial value in the equation for the radius:
Finding the radius of the Blow Pop candy that is inside the lollipop:
Circumference of the candy:
Finding how many licks it takes to get to the center (blow pop candy) of a Blow Pop!
Flaws to our Experiment
Lollipops had different types of rings around the outer part of the pop
Materials and the way we measured could have been more accurate
Assuming the lollipops and candies are perfect spheres
The way in which the lollipop is licked & the amount of saliva
In Conclusion
> we answered the mystery question of how many licks it takes to get to the center of a tootsie pop
> we used our knowledge in calculus to problem-solve

THE Blow Pop!!!
Erika & Haley & Mr.Narus' 9th Period Class
How many licks?
Any guesses??
Full transcript