Study Guide: Average of Three Numbers Quiz

Key Concepts

• Average (Mean): The sum of a set of numbers divided by the count of those numbers. For three numbers (a, b, c), the average is calculated as (a + b + c) / 3.
• Algebraic Manipulation: The ability to rearrange equations to solve for an unknown variable. In the context of the average of three numbers, this involves using the formula to find a missing number when the average and the other two numbers are known.
• Mixed Numbers: A way of representing a number that includes both a whole number and a fraction (e.g., 2 1/2). Understanding how to work with mixed numbers might be necessary if the quiz presents the average in this format.
• JavaScript Simulation Applet: A program written in JavaScript that can run within a web browser, often used for interactive learning experiences. This specific applet focuses on quizzing users on the concept of the average of three numbers.
• Open Educational Resources (OER): Educational materials that are freely available for use, adaptation, and sharing. This resource is provided under an open license.
• HTML5: The latest version of the Hypertext Markup Language, used for structuring and presenting content on the web. JavaScript applets like this are often embedded in HTML5 pages.
• Embed (iframe): An HTML element that allows one web page to be displayed within another web page. The provided <iframe> code can be used to integrate the quiz into a different website.
• Learning Goals (Sample): The intended educational outcomes that users are expected to achieve by engaging with the simulation.

Quiz

1. What is the formula for calculating the average of three numbers? Explain each variable in the formula.
2. The simulation quizzes users on finding which value when given the other two numbers and the average of a set of three numbers?
3. Besides using a combo box, what is another way a user can input their answer in the simulation? How can this alternative input method be changed on a mobile device?
4. According to the "For Teachers" section, what concept does this simulation primarily illustrate?
5. Who are credited with the creation of this "Average of Three Numbers Quiz JavaScript Simulation Applet HTML5"?
6. What does the acronym OER stand for, and how does it relate to this quiz resource?
7. What type of programming language is used to create the interactive quiz element of this resource?
8. The provided code snippet uses an <iframe> tag. What is the purpose of this HTML element in the context of the quiz?
9. Where can one find more information about the "EasyJavaScriptSimulations Library" and its commercial use license, as mentioned at the bottom of the page?
10. What is the domain name of the website hosting this Open Educational Resource?

Quiz Answer Key

1. The formula for the average of three numbers (a, b, c) is: Average = (a + b + c) / 3. In this formula, 'a', 'b', and 'c' represent the three individual numbers, and the result of the summation divided by 3 is their average (or mean).
2. The simulation quizzes users on finding the third number in a set of three, given the first two numbers and the overall average of all three. Users need to perform a calculation to determine the missing value.
3. Besides the combo box, users can also input their answer using a field that is initially labeled "Answer". On a mobile device, this field can be changed by clicking or tapping on the word "Answer".
4. According to the "For Teachers" section, this simulation primarily illustrates the concept of taking the average of numbers. It does this by requiring users to solve for a missing number when the average is known.
5. Tan Wei Chiong and Loo Kang Wee are credited with the creation of the "Average of Three Numbers Quiz JavaScript Simulation Applet HTML5". Their names are listed in the "Credits" section.
6. OER stands for Open Educational Resources. This means that the materials, including this quiz simulation, are freely available for educational purposes, often with permissions for use, sharing, and adaptation under licenses like the Creative Commons Attribution-Share Alike 4.0 Singapore License.
7. JavaScript is the programming language used to create the interactive quiz element of this resource, as indicated in the title "JavaScript Simulation Applet HTML5".
8. The <iframe> HTML element is used to embed the interactive quiz simulation, which is located at the provided source URL, directly into another web page. This allows users to interact with the quiz without leaving the embedding page.
9. Information about the "EasyJavaScriptSimulations Library" and its commercial use license can be found at the web address https://www.um.es/fem/EjsWiki/Main/EJSLicense. For commercial use, one should also contact fem@um.es directly.
10. The domain name of the website hosting this Open Educational Resource is iwant2study.org, as seen in the embed URL and other links on the page.

Essay Format Questions

1. Discuss the pedagogical benefits of using interactive JavaScript simulations, like the "Average of Three Numbers Quiz," for teaching mathematical concepts. How does this particular simulation address different learning styles and engagement?
2. Explain the relationship between the formula for the average of three numbers and the problem-solving tasks presented in the simulation. Describe the algebraic reasoning a user must employ to find the missing number.
3. Analyze the role of Open Educational Resources (OER) in democratizing access to educational tools and materials. How does the Creative Commons license associated with this quiz contribute to the broader OER movement?
4. Considering the list of other JavaScript simulation applets provided on the page, what does this suggest about the scope and focus of the "Open Educational Resources / Open Source Physics @ Singapore" project? Identify potential subject areas and learning objectives covered by these resources.
5. Reflect on the user experience of interacting with a simulation like this for learning. What are the advantages and potential limitations of this approach compared to traditional methods of learning about averages?

Glossary of Key Terms

• Average (Mean): The central value of a set of numbers, calculated by summing all the values and dividing by the total number of values.
• HTML5: The fifth and latest major version of the core language of the World Wide Web, used for structuring and presenting content.
• JavaScript: A high-level, often just-in-time compiled, multi-paradigm programming language that conforms to the ECMAScript specification. It is widely used as a client-side scripting language on the web.
• Simulation Applet: A small application, often written in a programming language like JavaScript, that runs within another application (like a web browser) to model or demonstrate a concept or process interactively.
• Open Educational Resources (OER): Teaching, learning, and research materials that are in the public domain or released under an open license that permits no-cost access, use, adaptation, and redistribution by others with no or limited restrictions.
• Embed: To insert content from one digital object or source into another, often referring to the inclusion of a web page or interactive element within another web page.
• iframe: An HTML element that creates an inline frame, allowing the embedding of another HTML document within the current document.
• Learning Goals: Specific statements that describe what a learner should know or be able to do as a result of a learning activity or experience.
• Algebraic Manipulation: The process of rearranging an algebraic equation using valid operations to isolate a variable or transform the equation into a more useful form.
• Mixed Number: A number expressed as an integer together with a proper fraction (e.g., 1½).

Frequently Asked Questions about the Average of Three Numbers Quiz Simulation

What is the purpose of the Average of Three Numbers Quiz simulation?

This JavaScript-based simulation is designed to help users understand the concept of the average (or mean) of three numbers. It quizzes users on their ability to find the value of a third number when given the first two numbers and the average of all three.

How does the simulation work?

The simulation presents a quiz where you are given two numbers and the average of these two numbers along with a third unknown number. Your task is to determine the value of the third number. You can input your answer either by selecting from a combo box or by typing directly into a field after clicking/tapping the word "Answer".

Who created this simulation?

This simulation was developed by Tan Wei Chiong and Loo Kang Wee as part of the Open Educational Resources / Open Source Physics @ Singapore initiative.

For whom is this simulation intended?

This simulation is primarily intended for teachers and students as a tool to illustrate and practice the concept of averages in mathematics. The sample learning goals (though not explicitly provided in the text) would likely focus on understanding and calculating averages.

Can this simulation be embedded in other webpages?

Yes, the simulation can be embedded into other webpages using the provided iframe code. This allows educators to integrate the interactive quiz directly into their online learning materials.

Are there any translations available for this simulation?

The source mentions "Translations" with columns for "Code," "Language," "Translator," and "Run," suggesting that the simulation may be available in multiple languages. However, the specific languages and translators are not detailed in the provided text.

Where can I find more resources related to this simulation?

The source provides a version link to a blog post by Loo Kang Wee discussing the simulation. It also mentions "Other Resources" but does not specify what these resources are. Further information might be available on the Open Educational Resources / Open Source Physics @ Singapore website.

Is this simulation part of a larger collection of educational tools?

Yes, the context of the source within the Open Educational Resources / Open Source Physics @ Singapore website, along with the extensive list of other linked simulations and resources (covering topics from mathematics and physics to interactive games), indicates that this Average of Three Numbers Quiz is part of a broad collection of open educational resources aimed at enhancing learning through interactive simulations.