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		<title>Subtraction is NOT Just Take Away!</title>
		<link>https://justaskjudy.net/2016/07/subtraction-is-not-just-take-away/?utm_source=rss&#038;utm_medium=rss&#038;utm_campaign=subtraction-is-not-just-take-away</link>
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		<dc:creator><![CDATA[laine]]></dc:creator>
		<pubDate>Sun, 31 Jul 2016 18:57:00 +0000</pubDate>
				<category><![CDATA[Math]]></category>
		<category><![CDATA[Subtraction]]></category>
		<category><![CDATA[count up to]]></category>
		<category><![CDATA[fact strategies]]></category>
		<category><![CDATA[first grade]]></category>
		<category><![CDATA[freebies]]></category>
		<category><![CDATA[second grade]]></category>
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					<description><![CDATA[<p>While I was updating my Subtraction Fact Mental Strategy Count Up To Free Sample, I began thinking about concrete ways to introduce this subtraction fact strategy. I also started to realize that children who view subtraction as only meaning to take away would have a difficult time conceptualizing this strategy. (Never fear, after I get ... <a href="https://justaskjudy.net/2016/07/subtraction-is-not-just-take-away/" class="more-link">Read More <span class="screen-reader-text">about  Subtraction is NOT Just Take Away!</span></a></p>
<p>The post <a href="https://justaskjudy.net/2016/07/subtraction-is-not-just-take-away/">Subtraction is NOT Just Take Away!</a> appeared first on <a href="https://justaskjudy.net">Just Ask Judy</a>.</p>
]]></description>
										<content:encoded><![CDATA[<p>While I was updating my <a href="https://www.teacherspayteachers.com/Product/Subtraction-Fact-Mental-Strategy-Count-Up-To-Free-Sample-1693548" target="_blank" rel="noopener">Subtraction Fact Mental Strategy Count Up To Free Sample</a>, I began thinking about concrete ways to introduce this subtraction fact strategy. I also started to realize that children who view subtraction as only meaning to take away would have a difficult time conceptualizing this strategy. (Never fear, after I get off my soapbox, there will be a link to another subtraction freebie below!)</p>
<p><img fetchpriority="high" decoding="async" class="aligncenter wp-image-1172 size-large" title="Read this blog post about teaching subtraction fact strategies. Find two free resources to help you teach the Count Up To strategy in first and second-grades. #SubtractionFacts #CountUpTo #1stGradeMath #2ndGradeMath" src="https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-4-682x1024.jpg" alt="Read this blog post about teaching subtraction fact strategies. Find two free resources to help you teach the Count Up To strategy in first and second-grades. #SubtractionFacts #CountUpTo #1stGradeMath #2ndGradeMath" width="682" height="1024" srcset="https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-4-682x1024.jpg 682w, https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-4-200x300.jpg 200w, https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-4-768x1152.jpg 768w, https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-4-400x600.jpg 400w" sizes="(max-width: 682px) 100vw, 682px" /></p>
<h2>Background Information</h2>
<div style="clear: both; text-align: left;">
<p>It&#8217;s so easy to get stuck in a rut teaching subtraction as take away. We know addition involves joining quantities together. So why isn&#8217;t subtraction simply taking quantities away? Just to complicate everything, subtraction takes three forms. These forms are taking away, comparing, and finding a missing addend or part of a whole. When a second grader reads 7-4 as 7 take away 4 rather than 7 minus/ subtract 4, I know we will have a lot of work ahead. It will be necessary to rebuild a foundational understanding of subtraction.</p>
<p>The concept of comparing to find the difference between two quantities can be introduced in kindergarten. Two groups of children can line up facing each other and grasp hands (think London Bridge). They will readily see/ count the difference between the two groups. This type of activity can be repeated many times with a wide variety of objects over an extended period of time.</p>
<h2>Finding the Difference</h2>
<div style="clear: both; text-align: left;">
<p>Teddy Bear Ten Strips is a free download which can be found in my post <a href="https://justaskjudy.net/2016/05/how-to-teach-the-concepts-of-more-and-less-freebies/">How to Teach the Concepts of More and Less</a>. It can also be used to find the difference between two quantities, using small manipulatives. These types of activities help build an understanding of subtraction as comparing quantities. As a bonus, this will also lead to interpreting data in graphs by answering how many more/ fewer questions, a first-grade standard.</p>
<h2>Introducing the Count Up To Subtraction Fact Strategy</h2>
<div style="clear: both; text-align: left;">The Count Up To subtraction strategy is based on finding the difference between two numbers. When your first or second-grade students are ready to learn this strategy, you might want to begin with neighbor numbers for subtraction. The equations 4-3, 7-6, and 9-8 are examples.</div>
<div></div>
<div style="clear: both; text-align: left;">To introduce this display the equations. Then, ask your students what they notice that is the same about all the equations. Can they solve the equations? How did they find the difference? Model how to find the difference on a number line.</div>
<h2></h2>
<h2>Practicing the Count Up To Subtraction Fact Strategy</h2>
<p>When they understand this concept, they&#8217;re ready to move on to the Count Up To subtraction fact strategy. I typically prefer vertical number lines. But for this activity, a horizontal one made more sense. I wanted to stick with the idea of numbers or houses in a neighborhood since it is a part of my <a href="https://www.teacherspayteachers.com/Product/Subtraction-Fact-Strategies-Anchor-Wall-Charts-1662644" target="_blank" rel="noopener">anchor wall chart</a> for this strategy. This provides a consistent visual cue.</p>
<p>The number line is limited to those numbers that would be used for this strategy. I did this to increase associations between the strategy and the numbers. I created number line houses 2 through 12 for group instruction and a number line strip with houses 4 through 12 for individual student use. The facts 3-2 and 4-3 can be solved by either counting down or counting up to. A number line from 4 through 12 covers the remaining basic subtraction facts for which this strategy is applicable.</p>
<p><img decoding="async" class="aligncenter wp-image-1173 size-large" title="Use these number line houses and counters to help your first and second-grade students develop understanding of the Count Up To strategy for subtraction facts. #SubtractionFacts #CountUpTo #FactStrategies #SecondGradeMath #FirstGradeMath" src="https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-5-632x1024.jpg" alt="Use these number line houses and counters to help your first and second-grade students develop understanding of the Count Up To strategy for subtraction facts. #SubtractionFacts #CountUpTo #FactStrategies #SecondGradeMath #FirstGradeMath" width="632" height="1024" srcset="https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-5-632x1024.jpg 632w, https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-5-185x300.jpg 185w, https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-5-768x1244.jpg 768w" sizes="(max-width: 632px) 100vw, 632px" /></p>
<h3>How to Prepare:</h3>
<p>Simply print the houses in color or black/ gray/ white on paper or card stock. Laminate, if desired, and cut.</p>
<p>Likewise, print the number line and counting strips in color or black/ gray/ white on paper or cardstock. Laminate and cut in strips.</p>
<p>Use any suitably sized counters.</p>
<h3>Ways to Practice:</h3>
<p>Place the houses in order on the carpet, a table, or a chalk/ whiteboard. Present a Count Up To basic subtraction fact with a difference of 1, 2, or 3, such as 9 &#8211; 6.</p>
<p>Model using counters (or button magnets on a board) how to keep 6, the lower number in your head and count up to 9, the higher number. Students can now easily visualize the difference between the two numbers!</p>
<p>As with the Count Up strategy for addition, you will have to find ways to keep your students from counting the number they start with. While you are modeling and practicing the process, be sure to emphasize you are finding the difference between the two numbers.</p>
<p><img decoding="async" class="aligncenter wp-image-1174 size-large" title="Try this hands-on number line or counting strips along with counters to help your 1st and 2nd grade math students develop understanding of the Count Up To strategy for subtraction facts. #SubtractionFacts #CountUpTo #FactStrategies #1stGradeMath #2ndGradeMath" src="https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-6-648x1024.jpg" alt="Try this hands-on number line or counting strips along with counters to help your 1st and 2nd grade math students develop understanding of the Count Up To strategy for subtraction facts. #SubtractionFacts #CountUpTo #FactStrategies #1stGradeMath #2ndGradeMath" width="648" height="1024" srcset="https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-6-648x1024.jpg 648w, https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-6-190x300.jpg 190w, https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-6-768x1214.jpg 768w" sizes="(max-width: 648px) 100vw, 648px" /></p>
<p>When they are ready, students can use their own number line strips to practice. Only give them three counters as this strategy is best used with a difference of 1, 2, or 3. I have also included a three counter strip that can be used as a bridge to mental fluency, instead of using fingers. Just say the lower number. Then, place counters as you count up to the higher number.</p>
<p>Students who understand and apply the Count Up To strategy for basic facts will also be able to apply it to multi-digit subtraction.</p>
<p>Enjoy these <a href="https://drive.google.com/open?id=1LhwABGuWhVgauL4CzWV3GLkDIp_5d3gH" target="_blank" rel="noopener">Numbers in the Neighborhood</a> number lines for introducing and practicing the Count Up To subtraction fact strategy! Click on the highlighted words to download your free copy.</p>
<h2>More Subtraction Resources</h2>
<p>The flashcards, an anchor wall chart, and two worksheets can be found in my <a href="https://www.teacherspayteachers.com/Product/Subtraction-Fact-Mental-Strategy-Count-Up-To-Free-Sample-1693548" target="_blank" rel="noopener">Count Up To Free Sample</a>.  It may be downloaded from my TpT store.</p>
<p><img loading="lazy" decoding="async" class="aligncenter wp-image-1176 size-large" title="Enjoy this free math sample, compiled from three of my subtraction resources, for reinforcing the count up to subtraction fact strategy in first and second-grade. #SubtractionFacts #SubtractionFactStrategies #1stGradeMath #2ndGradeMath #MathIntervention" src="https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-8-683x1024.jpg" alt="Enjoy this free math sample, compiled from three of my subtraction resources, for reinforcing the count up to subtraction fact strategy in first and second-grade. #SubtractionFacts #SubtractionFactStrategies #1stGradeMath #2ndGradeMath #MathIntervention" width="683" height="1024" srcset="https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-8-683x1024.jpg 683w, https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-8-200x300.jpg 200w, https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-8-768x1152.jpg 768w, https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-8-400x600.jpg 400w" sizes="(max-width: 683px) 100vw, 683px" /></p>
<p>The newest edition (July 2018) of my subtraction fact strategy <a href="https://www.teacherspayteachers.com/Product/Subtraction-Fact-Strategies-Anchor-Wall-Charts-1662644" target="_blank" rel="noopener">anchor charts</a>, <a href="https://www.teacherspayteachers.com/Product/Subtraction-Fact-Strategies-Flashcards-1662660" target="_blank" rel="noopener">flashcards</a>, and <a href="https://www.teacherspayteachers.com/Product/Subtraction-Fact-Strategies-Worksheets-1662679" target="_blank" rel="noopener">worksheets</a> include options for both Count Down and Count Back. You can choose the best one for you and your students. The strategies covered are Subtract Zero, Subtract All, Count Down/ Count Back, Count Up To, Doubles, Make 10, Bridge With 10, Subtract 10, Subtract 9, and Subtract 8. These resources are available individually or as a <a href="https://www.teacherspayteachers.com/Product/Subtraction-Fact-Strategy-Bundle-of-Anchor-Charts-Flashcards-Worksheets-1667452" target="_blank" rel="noopener">bundle</a>.</p>
<p><img loading="lazy" decoding="async" class="aligncenter wp-image-1177 size-large" title="Try this money saving bundle of three math resources; anchor wall charts, flashcards, and worksheets. It is perfect for supporting explicit strategy instruction for the basic subtraction facts to 20 in 1st and 2nd grades. #SubtractionFacts #FirstGradeMath #SecondGradeMath #ExplicitInstruction #VisualCues" src="https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-9-640x1024.jpg" alt="Try this money saving bundle of three math resources; anchor wall charts, flashcards, and worksheets. It is perfect for supporting explicit strategy instruction for the basic subtraction facts to 20 in 1st and 2nd grades. #SubtractionFacts #FirstGradeMath #SecondGradeMath #ExplicitInstruction #VisualCues" width="640" height="1024" srcset="https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-9-640x1024.jpg 640w, https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-9-188x300.jpg 188w, https://justaskjudy.net/wp-content/uploads/2016/07/Slide1-9-768x1229.jpg 768w" sizes="(max-width: 640px) 100vw, 640px" /></p>
<h2>More Subtraction Fact Strategy Blog Posts</h2>
<ul>
<li><a href="https://justaskjudy.net/2018/05/free-fun-popping-doubles-subtraction/">Free Fun With Popping Doubles for Subtraction</a></li>
<li><a href="https://justaskjudy.net/2018/04/1-winning-way-introduce-count-strategy/">1 Winning Way to Introduce the Count Down Strategy</a></li>
<li><a href="https://justaskjudy.net/2018/02/start-teaching-subtract-subtract-none/">How to Start Teaching Subtract All and Subtract None</a></li>
</ul>
<p><span style="font-size: 8pt;">Subtraction flashcard photo is by <a href="https://www.teacherspayteachers.com/Store/Classroom-Clicks" target="_blank" rel="noopener">Classroom Clicks</a>.</span></p>
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<p>The post <a href="https://justaskjudy.net/2016/07/subtraction-is-not-just-take-away/">Subtraction is NOT Just Take Away!</a> appeared first on <a href="https://justaskjudy.net">Just Ask Judy</a>.</p>
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