<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en">
		<id>http://wikisori.org/index.php?action=history&amp;feed=atom&amp;title=Decimals_Operations_Subtraction_%28lesson_2%29</id>
		<title>Decimals Operations Subtraction (lesson 2) - Revision history</title>
		<link rel="self" type="application/atom+xml" href="http://wikisori.org/index.php?action=history&amp;feed=atom&amp;title=Decimals_Operations_Subtraction_%28lesson_2%29"/>
		<link rel="alternate" type="text/html" href="http://wikisori.org/index.php?title=Decimals_Operations_Subtraction_(lesson_2)&amp;action=history"/>
		<updated>2026-04-15T16:48:18Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
		<generator>MediaWiki 1.27.1</generator>

	<entry>
		<id>http://wikisori.org/index.php?title=Decimals_Operations_Subtraction_(lesson_2)&amp;diff=5482&amp;oldid=prev</id>
		<title>Kdmullins: /* Variation */</title>
		<link rel="alternate" type="text/html" href="http://wikisori.org/index.php?title=Decimals_Operations_Subtraction_(lesson_2)&amp;diff=5482&amp;oldid=prev"/>
				<updated>2020-08-20T17:32:20Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Variation&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;tr style='vertical-align: top;' lang='en'&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 17:32, 20 August 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l54&quot; &gt;Line 54:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 54:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=== Variation&amp;#160; ===&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=== Variation&amp;#160; ===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Alternative: Use bead bars instead of beads and disks:&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Alternative: Use bead bars instead of beads and disks&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Picture 4&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[File&lt;/ins&gt;:&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Alternative_subtracting_decimals.jpg|300px]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Kdmullins</name></author>	</entry>

	<entry>
		<id>http://wikisori.org/index.php?title=Decimals_Operations_Subtraction_(lesson_2)&amp;diff=5481&amp;oldid=prev</id>
		<title>Kdmullins: /* Presentation */</title>
		<link rel="alternate" type="text/html" href="http://wikisori.org/index.php?title=Decimals_Operations_Subtraction_(lesson_2)&amp;diff=5481&amp;oldid=prev"/>
				<updated>2020-08-20T17:31:13Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Presentation&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;tr style='vertical-align: top;' lang='en'&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 17:31, 20 August 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l32&quot; &gt;Line 32:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 32:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* 4. Form the remainder with cards, and place them under the other cards. Have the child record the problem in his notebook.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* 4. Form the remainder with cards, and place them under the other cards. Have the child record the problem in his notebook.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Picture on 61&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[File:Subtracting_with_decimals_page_61.jpg|300px]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;NOTE: Provide problems which involve a great deal of exchanging, e.g., 3.000 - 0.123&amp;#160;  and 1.000000- 0.999999&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;NOTE: Provide problems which involve a great deal of exchanging, e.g., 3.000 - 0.123&amp;#160;  and 1.000000- 0.999999&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Kdmullins</name></author>	</entry>

	<entry>
		<id>http://wikisori.org/index.php?title=Decimals_Operations_Subtraction_(lesson_2)&amp;diff=5473&amp;oldid=prev</id>
		<title>Kdmullins: Initial presentation of subtracting with decimals.</title>
		<link rel="alternate" type="text/html" href="http://wikisori.org/index.php?title=Decimals_Operations_Subtraction_(lesson_2)&amp;diff=5473&amp;oldid=prev"/>
				<updated>2020-08-20T15:57:36Z</updated>
		
		<summary type="html">&lt;p&gt;Initial presentation of subtracting with decimals.&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;=== Age  ===&lt;br /&gt;
&lt;br /&gt;
9-12 &amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Materials  ===&lt;br /&gt;
&lt;br /&gt;
* Decimal board&lt;br /&gt;
* Decimal beads and disks&lt;br /&gt;
* Three sets of decimal numeral cards&lt;br /&gt;
* Cardboard strip as long as the decimal board&lt;br /&gt;
* Prepared problems&lt;br /&gt;
* Paper and pencil&lt;br /&gt;
&lt;br /&gt;
* Optional/Alternative: Montessori bead bars&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Preparation  ===&lt;br /&gt;
&lt;br /&gt;
Students should have had the Introductory Decimal Lessons 1-9 and Addition with Decimals lesson 1.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Presentation  ===&lt;br /&gt;
&lt;br /&gt;
*Teacher can choose to use bead bars for this lesson to help make an impression for the difference in values.&lt;br /&gt;
&lt;br /&gt;
* 1. Select the first problem: 6.4 - 2.8&lt;br /&gt;
* 2. Form the minuend and subtrahend with cards, placing the cards to the left of the board with the cardboard strip underneath (emphasizing the importance of placing the decimal disks in the proper place values).&lt;br /&gt;
* 3. Place the beads and disks for the minuend on the board. Beginning with the tenths, remove the amount in the subtrahend, exchanging a unit for ten more tenths. Place the quantity taken away on the table beside the board, so it can be used to check work at the end.&lt;br /&gt;
* 4. Form the remainder with cards, and place them under the other cards. Have the child record the problem in his notebook.&lt;br /&gt;
&lt;br /&gt;
Picture on 61&lt;br /&gt;
&lt;br /&gt;
NOTE: Provide problems which involve a great deal of exchanging, e.g., 3.000 - 0.123   and 1.000000- 0.999999&lt;br /&gt;
&lt;br /&gt;
* Again, most students will work with this material for a very short time, because they will be able to internalize the procedure and proceed abstractly.&lt;br /&gt;
&lt;br /&gt;
=== Control Of Error  ===&lt;br /&gt;
&lt;br /&gt;
Teacher guided; lining up the disks in the proper decimal place values. &amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Points Of Interest  ===&lt;br /&gt;
&lt;br /&gt;
Participating with the new knowledge helps move the concrete experiences toward abstract thinking &amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Purpose  ===&lt;br /&gt;
&lt;br /&gt;
*To make a visual, auditory and kinesthetic impression upon the student on how to perform operations with decimals.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Variation  ===&lt;br /&gt;
&lt;br /&gt;
Alternative: Use bead bars instead of beads and disks:&lt;br /&gt;
Picture 4&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Handouts/Attachment  ===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Category:Mathematics]] [[Category:Mathematics_9-12]]&lt;/div&gt;</summary>
		<author><name>Kdmullins</name></author>	</entry>

	</feed>