Created on: March 13, 2014

Website Address: https://library.curriki.org/oer/Analyzing-Volume-in-Calculus-with-Statistics-through-Technology-Who-needs-water-displacement-

TABLE OF CONTENTS

- Patterns, Functions, and Algebra: Linear Functions and Slope
- NROC: Introductory Calculus I
- NROC: General Calculus I
- Formulas Lite app
- Calculus I with Professor Richard Delaware
- Algeo Graphic Calculator (app)
- Calculus I-University of Utah
- Computing Pi Interactive Math Tool
- iTunes U: Brief Calculus
- Calculus (CA Textbook) by Paul Dawkins
- Calculus (CA Textbook) by David Guichard
- Calculus (CA Textbook) by Wellesley-Cambridge Press
- CK-12 Single Variable Calculus (CA Textbook) by CK-12 Foundation
- Codes Interactive Math Tool
- Calculus Videos
- Mooculus Video Lectures - Week 1
- Analyzing Volume in Calculus with Statistics through Technology: Who needs water displacement?

A look at a project in an AP Calculus class at the culmination of of the volume unit. Students will take everyday objects and find the volume using calculus formulas and regressions from statistics while comparing to science content.

At the beginning of the project, this worksheet can be handed to students to help them think about the process and supplies that will be needed. It is an organizational tool and a learning tool to have students help come up with the goal of the project.

After collecting and/or discussing the project planning worksheet. This direction page will get the students started on the process of finding volume. It gives some direction on using the statistics and graphing their solid.

Using the regression capabilities on a graphing calculator, students will take the coordinate points from their graph and try different regressions to see which has the best r-value for each section of their graph. These lines of best fit will be the ones used for the calculus volume formulas next.

With this worksheet, students will take their lines of best fit for each section of the graph and create the appropriate integrals using calculus techniques. The formulas will then provide the approximate volume of each section.

This PowerPoint was created by a student to explain the mathematical process he went through to calculuate the final volume

Another student created this presentation to share his findings about volume.