🧮Primary School Numbers from 1 to 100 for learning of properties such as Odd, Even, Multiples and Factors JavaScript HTML5 Applet Simulation Model

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{source}

<?php 
require_once JPATH_SITE.'/TTcustom/TT_contentparser.php';
\(parameters = array("topicname" => "math",
 "modelname" => "ejss_model_number1to100");

echo generateSimHTML(\)parameters, "EJSS");
?>
{/source}

Briefing Document: Primary School Numbers Applet

1. Overview

This document analyzes an educational resource: a JavaScript HTML5 applet designed for primary school students to learn about number properties (odd, even, multiples, and factors) within the range of 1 to 100. The applet is part of the Open Educational Resources/Open Source Physics @ Singapore initiative. The resource emphasizes interactive learning through a simulation model, making use of visual and hands-on approaches. The tool is designed for use across various platforms such as Android/iOS devices, Windows/MacOSX/Linux systems and ChromeBook laptops.

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2. Main Themes

3. Key Ideas & Facts

4. Implications

5. Conclusion

The "Primary School Numbers from 1 to 100" applet is a well-designed educational tool that uses an interactive approach to help students understand important mathematical concepts. Its alignment with the Singaporean curriculum, multi-platform accessibility, and open license make it a significant contribution to educational resources. The additional material provided (teaching tips, poem, links) greatly add to the utility of this resource.

 

Math Concepts Study Guide: Numbers 1-100

Quiz

Instructions: Answer the following questions in 2-3 complete sentences.

  1. What are the four main mathematical concepts explored using the applet for numbers 1-100?
  2. Explain the difference between an even and odd number.
  3. How can the "lining up in pairs" activity help students understand even and odd numbers?
  4. What are multiples of a number? Give an example.
  5. What are factors of a number? Give an example.
  6. How does the applet visually represent multiples and factors?
  7. What is the relationship between factors and multiples?
  8. Why is it helpful to use color-coding when learning about factors?
  9. According to the source, what mathematical concept is often considered the most difficult for students? Why?
  10. How can skip counting be used to teach multiples?

Quiz Answer Key

  1. The four main mathematical concepts explored are odd numbers, even numbers, multiples, and factors. The applet visually demonstrates these concepts using numbers from 1 to 100.
  2. An even number can be divided by two without a remainder, meaning it can be paired up evenly; an odd number leaves a remainder of one when divided by two, which means one is always left without a pair.
  3. The "lining up in pairs" activity allows students to physically visualize the concept of pairing in even numbers and the leftover single in odd numbers, making abstract concepts more concrete.
  4. Multiples of a number are the result of multiplying that number by any whole number; for example, the multiples of 3 are 3, 6, 9, 12, and so on.
  5. Factors of a number are whole numbers that divide evenly into that number; for example, the factors of 6 are 1, 2, 3, and 6.
  6. The applet uses color coding to show both multiples and factors, which helps with pattern recognition; in the case of factors, the pairings are also visually linked to make the combinations more concrete.
  7. Factors are numbers that divide into a given number, while multiples are the result of multiplying a number by another; they are related because factors can be multiplied to give a multiple, and they can also both be viewed as ways to represent a single number.
  8. Color-coding factors can help pupils notice the pairs that multiply to get the desired number, and it also can assist with remembering that you need to find all possible combinations.
  9. According to the source, factors are the most difficult for students to grasp, perhaps due to the more complex inverse relationship to multiples, and it can be tricky to learn all the combinations that give the desired product.
  10. Skip counting is a helpful tool for learning multiples because it represents multiples in an easy to understand sequence. For example, skip counting by 4 (4, 8, 12, 16...) demonstrates multiples of 4.

Essay Questions

Instructions: Answer the following questions in essay format, citing specific examples from the source to support your claims.

  1. Discuss the importance of using visual aids and concrete examples, like the applet and the "lining up in pairs" activity, in teaching abstract mathematical concepts such as factors and multiples.
  2. Analyze the different learning goals for students in Primary 3, 4, and 5 regarding whole numbers, factors, and multiples, as outlined in the source. What progression is evident in the curriculum?
  3. Explain how the strategies listed in the source – skip counting, color-coding, and pairing factors – contribute to the effectiveness of teaching factors and multiples.
  4. Based on the source, how do teaching strategies for even and odd numbers differ from those for factors and multiples? Why might these differences exist?
  5. Explore the potential benefits of using an interactive tool like the mentioned JavaScript applet in a classroom setting for teaching these mathematical concepts, and how does it compare to more traditional methods?

Glossary

Applet: A small application, often written in Java or HTML5, that runs within a web page. In this context, the applet is a tool for visualizing number concepts.

Even Number: A whole number that can be divided by 2 with no remainder.

Factor: A whole number that divides evenly into another whole number, with no remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.

HTML5: The latest version of Hypertext Markup Language, used for structuring and presenting content on the World Wide Web, which can also include interactive elements such as the applet.

JavaScript: A programming language often used to create interactive effects within web browsers, used to power the number applet in this resource.

Multiple: The result of multiplying a whole number by another whole number. For example, the multiples of 3 are 3, 6, 9, 12, etc.

Odd Number: A whole number that leaves a remainder of 1 when divided by 2.

Open Educational Resources (OER): Teaching and learning materials that are free to use, adapt, and share. This source is an example of OER.

Skip Counting: A method of counting by intervals other than one. For example, skip counting by 5s would be: 5, 10, 15, 20, etc.

 

Apps

https://play.google.com/store/apps/details?id=com.ionicframework.numbers100app321231{source}
<a href='https://play.google.com/store/apps/details?id=com.ionicframework.numbers100app321231&pcampaignid=MKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1'><img alt='Get it on Google Play' src='https://play.google.com/intl/en_us/badges/images/generic/en_badge_web_generic.png'/></a>
{/source}

https://play.google.com/store/apps/details?id=com.ionicframework.numbersapp974975 older version 

 

https://itunes.apple.com/us/app/even-odd-multiples-factors/id1196575475?ls=1&mt=8 iOS version {source}
<iframe src="https://widgets.itunes.apple.com/widget.html?c=us&brc=FFFFFF&blc=FFFFFF&trc=FFFFFF&tlc=FFFFFF&d=reading scale&t=reading scale&m=software&e=software,iPadSoftware&w=250&h=300&ids=1189447296,1183636157&wt=playlist&partnerId=&affiliate_id=&at=&ct=" frameborder=0 style="overflow-x:hidden;overflow-y:hidden;width:250px;height: 300px;border:0px"></iframe>
{/source}

Sample Learning Goals

Topics
Primary 3
1 WHOLE NUMBERS
Numbers up to 10 000
Include:
• number notation and place values (thousands, hundreds, tens, ones),
• reading and writing numbers in numerals and in words,
• comparing and ordering numbers,
• odd and even numbers,
• number patterns

Primary 4
1 Whole Numbers
Factors and multiples
Include:
• determining if a 1-digit number is a factor of a given number,
• listing all factors of a given number up to 100,
• finding the common factors of two given numbers,
• recognising the relationship between factor and multiple,
• determining if a number is a multiple of a given 1-digit number,
• listing the first 12 multiples of a given 1-digit number,
• finding the common multiples of two given 1-digit numbers.
Exclude 'highest common factor' (H.C.F.) and 'lowest common multiple’ (L.C.M.).

Primary 5 Foundation Mathematics (Calculator is allowed unless otherwise stated)
1 Whole Numbers
Factors and multiples
Include:
• determining if a 1-digit number is a factor of a given number,
• listing all factors of a given number up to 100,
• finding the common factors of two given numbers,
• recognising the relationship between factor and multiple,
• determining if a number is a multiple of a given 1-digit number,
• listing the first 12 multiples of a given 1-digit number,
• finding the common multiples of two given numbers up to 12.
Exclude 'highest common factor' (H.C.F.) and 'lowest common multiple’ (L.C.M.).

Research

Teaching Tips

even numbers are easier to understand, ask pupils to line up in pairs, so if it is possible to pair up, the number of pupils is even.

taken from http://library.opal.moe.edu.sg/cos/o.x?ptid=84&c=/library/reslib&func=prop2&id=148606 by Abdul Hakim Bin Mohd Udori

odd numbers is the opposite of even, again, ask pupils to line up in pairs, so if it is not possible to pair up, meaning one pupil has no partner,  the number of pupils is odd.

taken from http://library.opal.moe.edu.sg/cos/o.x?ptid=84&c=/library/reslib&func=prop2&id=148606 by Abdul Hakim Bin Mohd Udori

A Poem on Even & Odd Numbers by Marg Wadsworth

If you are an even number
You always have a pair
So if you look around
Your buddy will always be there
But ...
If you are an odd number
There's always a lonely one
He looks around to find his buddy
But he's the only one.

YouTube

{source}
<iframe width="560" height="315" src="https://www.youtube.com/embed/XT9aqgpjdyw" frameborder="0" allowfullscreen></iframe>
{/source} 10 Odd Todd and Even Steven swerdy45

 

multiples is easier if it is associated to skip count, so mulitples of three is skip count three, for example, 3 ,6, 9, 12, ....

multiples of three, skip count three, color coded for ease of pattern recognition

factors is the hardest, pairing the first and the last numbers of the factors could help pupils realise 

factors of a numbers colour coded for ease of pattern recognition 1x48 = 2x24 = 3x16 = 4x12 = 6x8 = 48

Video

[text]

 Version:

  1. http://weelookang.blogspot.sg/2016/06/numbers-1-to-100-properties.html JavaScript version 
  2. based on an earlier  swf file from Thong  , Thong's files 
  3. http://library.opal.moe.edu.sg/cos/o.x?c=/library/reslib&uid=0&ptid=84&func=view&id=266009&fext=.zip (login required)

Other Resources

  1. https://www.geogebra.org/m/xVaksRn4?doneurl=%2Fmaterial%2Fshow%2Fid%2F71889#material/ZdtwcYrC 

Frequently Asked Questions: Numbers 1-100, Factors, and Multiples

Details
Parent Category: Whole Numbers
Category: 1. Numbers up to 100
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