This resource is an interactive presentation/lesson on calculating volumes of solids of revolution using the disk and washer methods.
Type of Material:
Presentation
Reference Material
Recommended Uses:
Individual study, review
Suitable for use in classrooms, for homework assignments, individual learning, or group exploration in mathematics-related courses.
Technical Requirements:
All Browsers
Identify Major Learning Goals:
The purpose of this resource is to introduce or refresh knowledge of how to compute volumes of rotational solids using the disk and shell methods.
Major Learning Goal: The students will understand how to use the Disk Method and the Washer Method to find the volume of a solid generated by revolving a graph around an axis.
Target Student Population:
High School, College General Ed, College Lower Division
Prerequisite Knowledge or Skills:
basic algebra, calculus
Knowledge for Volume by Slicing are: Understanding of Functions and Graphs ,Basic Integral Calculus , Area Between Curves, andSolids of Revolution – Conceptual Understanding radius, diameter, and area formulas.
Content Quality
Rating:
Strengths:
This resource is interactive lesson on calculating volumes of solids of revolution using the disk and washer methods. Slides include text, animation, and instructional videos. Animations may be paused and reviewed. Multiple choice practice questions are embedded. Users can attempt the practice questions twice before being presented with a written solution.
The module effectively builds understanding by connecting the visual process of slicing a solid to the integral that calculates volume. This helps students grasp why the method works, not just how to use it.
Concerns:
The volume button at the bottom of the presentation does not seem to work. There may be some accessibility issues with reading the text on the non-video slides.
Potential Effectiveness as a Teaching Tool
Rating:
Strengths:
This resource is highly interactive, identifies conceptual and computational goals, presents information visually and via text, and provides an opportunity for practice.
The calculator helps students understand hypothesis testing by providing clear, structured, and interactive steps. In addition, It iliminates manual computation errors by quickly generating test statistics, p-values, and confidence intervals.
Ease of Use for Both Students and Faculty
Rating:
Strengths:
The resource is engaging and visually appealing. The side menu makes it easy to navigate between sections.
Clear Notation and InstructionsStep-by-step notation for integral setup and evaluation is consistent and easy to follow, reducing errors and building student confidence. Built-In Checks for Understanding the module. It includes checkpoints and examples for immediate reflection.
Concerns:
Students sometimes struggle with knowing when to use the Disk Method versus the Washer Method. The module may not offer enough guided decision-making practice.
Creative Commons:
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