Circle Plus Applet Study Guide

Overview

This study guide is designed to help you understand the "Circle Plus Question 13 HTML5 Applet Javascript 13 Circles Plus: area of the coloured shape JavaScript HTML5 Applet Simulation Model." The applet, found on the Open Educational Resources / Open Source Physics @ Singapore website, appears to be a tool for learning about the area of shapes formed by overlapping circles. The accompanying description, "Circles Plus: What is the area of the colored shape? Answer is LengthxHeight= 18x9 = ??" suggests a specific problem or example within the applet that involves calculating the area of a colored region within a configuration of circles, possibly relatable to a rectangle of given dimensions.

Key Concepts

• Area of 2D Shapes: Understanding the fundamental formulas for calculating the area of basic shapes like circles, rectangles, and possibly segments or intersections of circles.
• Geometric Measurement: The principles of measuring lengths and areas in two-dimensional space.
• HTML5 Applets: Familiarity with interactive simulations and how they function within a web browser.
• JavaScript: Awareness that the applet is built using JavaScript, enabling its interactive nature.
• Open Educational Resources (OER): Understanding that this tool is freely available for educational purposes.
• Simulation Models: Recognizing that the applet is a dynamic model that can visually represent and potentially allow manipulation of geometric concepts.
• Problem-Solving in Geometry: Applying geometric principles to determine unknown areas based on given information or visual representation.

Quiz

Answer the following questions based on the provided source material. Each answer should be 2-3 sentences.

1. What is the primary subject area categorized for the "Circle Plus Question 13" applet on the website?
2. Who are credited as being involved in the creation or translation of this applet?
3. What type of interactive element is the "Circle Plus Question 13" described as being?
4. What does the phrase "area of the coloured shape" in the applet's title suggest about its functionality?
5. Where can this "Circle Plus" model be embedded for use?
6. According to the second source, what specific calculation is hinted at for finding the area of a colored shape in "Circles Plus"?
7. Under what type of license is the content on the Open Educational Resources / Open Source Physics @ Singapore website generally licensed?
8. What does the mention of "HTML5 Applet Javascript" indicate about the technology used to build the simulation?
9. What are some other examples of interactive simulations or games listed on the same webpage as the "Circle Plus" applet?
10. What might be the purpose of providing "Sample Learning Goals" and "For Teachers" sections associated with the applet?

Quiz Answer Key

1. The "Circle Plus Question 13" applet is primarily categorized under Mathematics, specifically within the topics of measurement and geometry, area and volume, and 2D shapes. This indicates that the applet is intended to help users learn and visualize concepts related to these mathematical areas.
2. ShiXiong, Francisco Esquembre, and Felix J. Garcia Clemente are credited in connection with the applet. ShiXiong is listed under the breadcrumbs, suggesting authorship or contribution, while Esquembre and Clemente are credited for translations and also associated with the Easy Java/JavaScript Simulations Toolkit.
3. The "Circle Plus Question 13" is described as an HTML5 Applet Javascript Simulation Model. This means it is an interactive program built using web technologies (HTML5 and JavaScript) to simulate a real-world or mathematical concept.
4. The phrase "area of the coloured shape" suggests that the applet allows users to visualize a configuration of circles and focuses on determining the area of a specific region within or formed by these circles that is visually differentiated by color. Users likely interact with the applet to understand how this area is calculated.
5. The model can be embedded in a webpage using the provided iframe code. This allows educators or website developers to integrate the interactive simulation directly into their online content for educational purposes.
6. The second source suggests the area of the colored shape can be found using Length x Height = 18 x 9 = ??. This implies a scenario within the applet where the colored region might correspond to or be related to a rectangle with dimensions 18 units by 9 units, and the user needs to calculate the resulting area.
7. The content on the Open Educational Resources / Open Source Physics @ Singapore website is generally licensed under a Creative Commons Attribution-Share Alike 4.0 Singapore License. This type of license allows for the free use, sharing, and adaptation of the content, provided that attribution is given and any derivative works are shared under a similar license.
8. The mention of "HTML5 Applet Javascript" indicates that the applet is built using modern web standards (HTML5 for structure and display) and the JavaScript programming language for interactivity and functionality. This allows the applet to run directly in web browsers without the need for additional plugins.
9. The webpage lists numerous other interactive simulations and games covering a wide range of topics, including physics concepts like friction, buoyancy, and waves, as well as mathematics topics like addition, area, and number games. There are also examples of language learning games and tools.
10. Providing "Sample Learning Goals" and "For Teachers" sections suggests that the applet is designed for educational use, offering guidance to both students on what they should learn and to teachers on how to effectively integrate the applet into their lessons and research further applications.

Essay Format Questions

1. Discuss the potential benefits of using interactive HTML5 applets like "Circle Plus Question 13" as educational tools for teaching geometry and area concepts compared to traditional methods.
2. Based on the limited information provided, hypothesize about the possible interactive elements and features that might be included in the "Circle Plus Question 13" applet to help users understand the area of the colored shape.
3. Analyze the significance of open educational resources like the "Circle Plus" applet for promoting accessibility and innovation in mathematics and science education globally.
4. Considering the credits given, discuss the collaborative nature of developing and sharing educational resources like the "Circle Plus" applet, highlighting the roles of different contributors.
5. Explore how the variety of other applets and resources listed on the Open Educational Resources / Open Source Physics @ Singapore website demonstrates the breadth and depth of interactive learning tools available for different subjects and educational levels.

Glossary of Key Terms

• HTML5 Applet: An interactive program or simulation embedded in a webpage, built using the HyperText Markup Language version 5, which provides the structure and content, and often JavaScript for dynamic functionality.
• JavaScript: A high-level, often just-in-time compiled programming language that conforms to the ECMAScript specification. It is commonly used to make web pages interactive and provides dynamic behavior.
• Open Educational Resources (OER): Teaching, learning, and research materials that are in the public domain or released with an open license that permits no-cost access, use, adaptation, and redistribution by others with no or limited restrictions.
• Simulation Model: A computer program that mimics the behavior of a real-world system or abstract concept over time. It allows users to interact with variables and observe the resulting changes.
• Area: The quantity that expresses the extent of a two-dimensional figure or shape in a plane, measured in square units.
• Geometry: The branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs.
• Embed: To integrate content from one digital source into another, such as placing an interactive applet within a webpage using an iframe.
• Breadcrumbs: A navigational aid used in user interfaces that shows the user's path through a website or application, typically displayed horizontally above the main content.
• License: A legal instrument granting permission to use copyrighted material under specific terms and conditions. Open licenses, like Creative Commons, offer more flexible permissions than traditional copyright.
• Interactive: Allowing for two-way communication or action between the user and a system, such as an applet that responds to user input.

Frequently Asked Questions: Circles Plus Applet

• What is the "Circle Plus Question 13" applet about? The "Circle Plus Question 13" HTML5 applet is an interactive JavaScript simulation model focused on mathematics, specifically within the domain of measurement and geometry. It deals with 2D shapes and the concept of area, likely challenging users to determine the area of a colored shape formed by overlapping or arranged circles.
• Who developed this applet and what is the context of its creation? This applet was developed by ShiXiong and is part of the Open Educational Resources / Open Source Physics @ Singapore project. It involved contributions from Francisco Esquembre and Felix J. Garcia Clemente, likely utilizing the Easy JavaScript/JavaScript Simulations Toolkit developed by the latter two. The applet is intended for educational purposes, falling under the categories of mathematics and geometry.
• What are the potential learning goals associated with this applet? While the specific learning goals for "Circle Plus Question 13" are not explicitly stated in the provided text, the context suggests that users are expected to develop their understanding of area calculation for composite shapes involving circles. This could involve spatial reasoning, problem-solving skills in geometry, and the application of formulas related to circles and potentially other basic shapes.
• Is this applet part of a larger collection or project? Yes, the "Circle Plus Question 13" applet is clearly part of a broader initiative called Open Educational Resources / Open Source Physics @ Singapore. This project encompasses a wide range of interactive simulations and resources covering various topics in mathematics, physics, and other subjects, as evidenced by the extensive list of other applets and resources mentioned on the page.
• What technologies were used to create this applet? The applet is an HTML5 applet built using JavaScript. It is also mentioned that it was "Compiled with EJS 6.0 (191124)," indicating the use of the Easy JavaScript Simulations (EJS) toolkit, which is designed to facilitate the creation of interactive simulations for education.
• How can this applet be used or accessed? The applet can be embedded directly into a webpage using the provided iframe code. This allows educators or learners to integrate the interactive model into online learning platforms, websites, or other digital resources for direct engagement and experimentation. It can be run directly within a web browser that supports HTML5 and JavaScript.
• Are there any terms of use or licensing associated with this applet? The content is licensed under a Creative Commons Attribution-Share Alike 4.0 Singapore License. For commercial use of the EasyJavaScriptSimulations Library used in its creation, users are directed to a specific license and contact information for the library developers at the University of Murcia.
• Where can I find more information about similar resources or the developers? The webpage itself provides links to the Open Educational Resources / Open Source Physics @ Singapore homepage. It also mentions the Easy Java/JavaScript Simulations Toolkit and Open Source Physics by Wolfgang Christian. Contact information (an email address) is provided for inquiries related to the project. Additionally, the version link points to a blog post that might offer further context or details.