Key Ideas and Facts:

• Interactive Learning Tool: The "Circle Plus Question 01 HTML5 Applet Javascript" is an interactive simulation embedded within a webpage using an iframe:
• <iframe width="100%" height="100%" src="https://iwant2study.org/lookangejss/math/ejss_model_circleplusquestion01/circleplusquestion01_Simulation.xhtml " frameborder="0"></iframe>
• Problem Description: The problem involves a "Big Semi circle" that overlaps three other shapes: a "red semi-circle," a "Medium semi-circle," and a "triangle." The goal is to calculate the "shaded area" resulting from this overlap.
• Guided Learning: The applet features a step-by-step guiding mechanism. As the simulation plays, "guiding shapes will appear one by one to guide the user's understanding of the question." This process involves:
• Calculating the red semi-circle first.
• Calculating the Medium semi-circle.
• Calculating the triangle.
• Recognizing the overlap with the Big Semi-circle.
• User Control: Users can interact with the simulation using "the Play Button or use the Forward/Back button."
• Variable Parameters: The applet includes interactive elements that allow for exploration and deeper understanding:
• "Another useful feature is the small little box at the C corner which changes the position of C within the triangle and the small box at the B corner to change the length of the base."
• Target Audience: The resource is intended for learners studying "Mathematics," specifically related to "Area and Perimeter" and "Circles." The inclusion of the names "Siti" and "Coco" in the breadcrumbs and the credit to "Siti" as a contributor suggests it might be aimed at a specific educational level or curriculum where these names are relevant.
• Attribution and Licensing: The applet is credited to:
• weelookang@gmail.com
• Francisco Esquembre
• Felix J. Garcia Clemente
• Siti
• Based on ShiXiong pptx and ideas. It is released under a specific license (indicated in the "Circle Plus Question 1" entry as © 2020). The Open Educational Resources / Open Source Physics @ Singapore website itself notes that "Contents are licensed Creative Commons Attribution-Share Alike 4.0 Singapore License." Commercial use of the underlying "EasyJavaScriptSimulations Library" requires a separate license and contact with fem@um.es.
• Technical Basis: The applet is built using HTML5 and Javascript, likely utilizing the "Easy Java/JavaScript Simulations Toolkit (EJS)." This is further supported by the link provided: "Easy Java/JavaScript Simulations Toolkit https://www.um.es/fem/EjsWiki/ vy Francisco Esquembre and Félix Jesús Garcia Clemente."
• Context within Open Source Physics: This applet is part of a larger collection of open educational resources in physics and mathematics hosted at the Open Educational Resources / Open Source Physics @ Singapore website. The extensive list of other applets on the page demonstrates the breadth of topics covered, ranging from mechanics and electromagnetism to chemistry and even language learning games.
• Learning Goals (Sample): Although the specific learning goals for this applet are marked as "[text]," the description for teachers implies goals related to understanding area calculation of composite shapes, the concept of overlapping areas, and potentially problem-solving strategies in geometry.
• Resources and Further Information: Links are provided for a YouTube video demonstrating the applet and a GeoGebra resource that might be related. A blog post link is also included for further information.

Quotes:

• Regarding the simulation's guidance: "As the simulation is being played, the guiding shapes will appear one by one to guide the user's understanding of the question."
• Describing the steps: "In this case, the simulation is guiding the user to calculate the red semi-circle first. Followed by calculating the Medium semi-circle. Then the triangle. These three shapes build up the whole structure. And referring to the question, a Big Semi circle will overlap these shapes."
• Highlighting interactive features: "Another useful feature is the small little box at the C corner which changes the position of C within the triangle and the small box at the B corner to change the length of the base."

Importance:

This "Circle Plus Question 01" applet is an important example of how interactive simulations can be used in open educational resources to enhance the learning of mathematical concepts. By providing a visual and step-by-step approach to solving a geometry problem, and by allowing users to manipulate parameters, it can contribute to a deeper and more intuitive understanding of area and perimeter calculations involving circles and other shapes. Its availability as an open-source resource allows for wider accessibility and potential adaptation for various educational contexts.

Frequently Asked Questions about the Circle Plus Question 01 Applet

1. What is the Circle Plus Question 01 HTML5 Applet?

The Circle Plus Question 01 HTML5 Applet is an interactive simulation designed as a mathematics learning tool, specifically focused on the concepts of area and perimeter, particularly involving circles and semicircles. It presents a visual puzzle where users need to calculate a shaded area formed by overlapping semicircles and a triangle. The applet is built using JavaScript and is part of the Open Educational Resources / Open Source Physics @ Singapore project.

2. What are the learning goals of this applet?

The primary learning goal is to guide users to understand how a complex shape can be broken down into simpler geometric components (in this case, semicircles and a triangle) to calculate its area. Specifically, the simulation encourages users to calculate the areas of a red semicircle, a medium semicircle, and a triangle individually, and then consider how a larger, overlapping semicircle affects the final shaded area.

3. How does the simulation guide user understanding?

The simulation employs a step-by-step visual approach. When played, guiding shapes appear sequentially, starting with the red semicircle, followed by the medium semicircle, and then the triangle. This visual progression helps users identify the individual components that contribute to the overall structure. Finally, the overlapping big semicircle is introduced, leading the user to deduce how to calculate the shaded area.

4. What interactive features are available in the applet?

Users can interact with the simulation using a Play button to see the guided steps. Forward and Back buttons allow for navigation through these steps. Additionally, there are small boxes at the corners labeled 'C' and 'B'. The box at 'C' enables users to change the position of point C within the triangle, while the box at 'B' allows for adjusting the length of the base of the triangle. These features likely allow for exploring how changes in the triangle's dimensions affect the overall geometry and potentially the shaded area.

5. Who created this applet and what is its licensing?

The Circle Plus Question 01 applet was created by a team including weelookang@gmail.com, Francisco Esquembre, Felix J. Garcia Clemente, and Siti, based on ideas from ShiXiong. It was compiled with EJS 6.1 BETA and is released under a Creative Commons Attribution-Share Alike 4.0 Singapore License. This licensing encourages sharing and adaptation of the resource with appropriate attribution.

6. For whom is this applet intended?

While explicitly listed under "Chinese Language" in the breadcrumbs, the mathematical nature of the applet suggests it is primarily intended for mathematics education, likely at a level where students are learning about area, perimeter, and the properties of circles and triangles. The mention of "Siti and Coco" and "ShiXiong" might refer to characters or contexts relevant to a specific curriculum in Singapore. The "For Teachers" section also indicates it's a resource designed to be used in an educational setting.

7. Can this applet be embedded in other websites?

Yes, the source provides an embed code (an <iframe> tag) that allows users to easily integrate the interactive simulation into other web pages. This facilitates the use of the applet as a learning resource within various online platforms.

8. Are there any related resources or versions of this applet?

The description mentions a video demonstration of the applet on YouTube and links to a blog post by weelookang providing another access point. Additionally, a Geogebra resource by lewws is listed as "Other Resources," suggesting alternative ways to explore similar mathematical concepts. The list of other applets on the same page indicates a broader collection of interactive learning tools covering various subjects, including mathematics and science. Furthermore, "Circle Plus Question 13" is mentioned, implying a series of related problems.