#### 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