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		<title>Have You Tried This Fun Way to Build Multiplication Flexibility and Fluency?</title>
		<link>https://shelleygrayteaching.com/dot-talks-flexibility/</link>
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		<dc:creator><![CDATA[Shelley Gray]]></dc:creator>
		<pubDate>Wed, 19 Oct 2022 01:47:02 +0000</pubDate>
				<category><![CDATA[Math]]></category>
		<category><![CDATA[Number Talks]]></category>
		<category><![CDATA[dot talks]]></category>
		<category><![CDATA[subitizing]]></category>
		<guid isPermaLink="false">https://shelleygrayteaching.com/?p=13312</guid>

					<description><![CDATA[<p>Fact fluency is a critical component of success in the math classroom. But students need to be able to do more than just recall the answer to multiplication facts quickly. A key part of fact fluency is flexibility. That is, can students develop and apply strategies that help them solve a wide range of problems? [&#8230;]</p>
<p>The post <a href="https://shelleygrayteaching.com/dot-talks-flexibility/">Have You Tried This Fun Way to Build Multiplication Flexibility and Fluency?</a> appeared first on <a href="https://shelleygrayteaching.com">Shelley Gray</a>.</p>
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									<p>Fact fluency is a critical component of success in the math classroom. But students need to be able to do more than just recall the answer to multiplication facts quickly. A key part of fact fluency is flexibility. That is, can students develop and apply strategies that help them solve a wide range of problems?</p><p>Dot talks are a tool that can help build such flexibility. In this routine, the teacher presents students with an image of dots. These dots are often arranged in a certain pattern like the one below. The teacher presents a simple question, “How many?”</p><p><img fetchpriority="high" decoding="async" class="aligncenter wp-image-13313 size-large" src="https://shelleygrayteaching.com/wp-content/uploads/2022/08/1-2-1024x576.png" alt="" width="1024" height="576" srcset="https://shelleygrayteaching.com/wp-content/uploads/2022/08/1-2-1024x576.png 1024w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/1-2-300x169.png 300w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/1-2-768x432.png 768w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/1-2-1536x864.png 1536w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/1-2-800x450.png 800w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/1-2.png 1920w" sizes="(max-width: 1024px) 100vw, 1024px" /></p><p>Students silently attempt to find an answer. When they find it, they can discreetly signal to the teacher <a href="https://shelleygrayteaching.com/do-you-need-help-with-number-talks-heres-the-quick-start-guide/" target="_blank" rel="noopener">using a thumbs up against their chest</a>. While they wait, they attempt to find their answer in a new way. Each additional strategy they develop can be signalled by raising an additional finger.</p><p><img decoding="async" class="aligncenter size-full wp-image-11763" src="https://shelleygrayteaching.com/wp-content/uploads/2021/11/2-3.png" alt="" width="800" height="500" srcset="https://shelleygrayteaching.com/wp-content/uploads/2021/11/2-3.png 800w, https://shelleygrayteaching.com/wp-content/uploads/2021/11/2-3-300x188.png 300w, https://shelleygrayteaching.com/wp-content/uploads/2021/11/2-3-768x480.png 768w" sizes="(max-width: 800px) 100vw, 800px" /></p><p>At first, the teacher may choose to leave the dot image on the screen for the entire length of the dot talk. However, this may invite students to count the dots one by one. Remember, the goal is to develop efficient and flexible strategies for counting the dots. Many teachers choose to flash the image for a certain amount of time (also called a Quick Look), for example, two seconds. This encourages students to look for patterns that can speed up their counting.</p><p>When students are ready to share their answers, model each strategy using a different colored pen. For example, Student A saw four groups of three dots. They used a skip counting strategy to find that four groups of three make twelve.</p><p>Student B saw two groups of four, and then two groups of two. They knew that four plus four equals eight, and four more makes twelve.</p><p>Student C decided to make two groups of six. They added six plus six to make twelve.</p><p>Each of these strategies is unique, but is a valid way of seeing this visual. As dot talks increase in complexity, they can be used to teach multiplication strategies like doubling, doubling and halving, or multiplying by ten!</p><p>If your students are in need of flexible multiplication strategies, consider dot talks as one of your computational fluency routines!</p><p> </p>								</div>
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		<p>The post <a href="https://shelleygrayteaching.com/dot-talks-flexibility/">Have You Tried This Fun Way to Build Multiplication Flexibility and Fluency?</a> appeared first on <a href="https://shelleygrayteaching.com">Shelley Gray</a>.</p>
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		<post-id xmlns="com-wordpress:feed-additions:1">13312</post-id>	</item>
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		<title>Here&#8217;s an Easy Way to Incorporate Subitizing into Your Math Routine</title>
		<link>https://shelleygrayteaching.com/heres-an-easy-way-to-incorporate-subitizing-into-your-math-routine/</link>
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		<dc:creator><![CDATA[Shelley Gray]]></dc:creator>
		<pubDate>Wed, 24 Aug 2022 00:51:11 +0000</pubDate>
				<category><![CDATA[Other]]></category>
		<category><![CDATA[dot talks]]></category>
		<category><![CDATA[subitizing]]></category>
		<guid isPermaLink="false">https://shelleygrayteaching.com/?p=13306</guid>

					<description><![CDATA[<p>Subitizing &#8211; if you teach elementary math you&#8217;ve probably heard this word, but may be unsure of what it actually means or how it can be used effectively in the classroom. Before I get into the definition of subitizing and tips for using it to help your students build number sense, let&#8217;s try a couple [&#8230;]</p>
<p>The post <a href="https://shelleygrayteaching.com/heres-an-easy-way-to-incorporate-subitizing-into-your-math-routine/">Here&#8217;s an Easy Way to Incorporate Subitizing into Your Math Routine</a> appeared first on <a href="https://shelleygrayteaching.com">Shelley Gray</a>.</p>
]]></description>
										<content:encoded><![CDATA[		<div data-elementor-type="wp-post" data-elementor-id="13306" class="elementor elementor-13306" data-elementor-post-type="post">
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									<p><img decoding="async" class="aligncenter size-full wp-image-13323" src="https://shelleygrayteaching.com/wp-content/uploads/2022/08/easy-way-to-subitize.png" alt="" width="1000" height="600" srcset="https://shelleygrayteaching.com/wp-content/uploads/2022/08/easy-way-to-subitize.png 1000w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/easy-way-to-subitize-300x180.png 300w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/easy-way-to-subitize-768x461.png 768w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/easy-way-to-subitize-800x480.png 800w" sizes="(max-width: 1000px) 100vw, 1000px" /></p><p>Subitizing &#8211; if you teach elementary math you&#8217;ve probably heard this word, but may be unsure of what it actually means or how it can be used effectively in the classroom. Before I get into the definition of subitizing and tips for using it to help your students build number sense, let&#8217;s try a couple of fun activities.</p><p><span style="color: var( --e-global-color-text ); font-family: var( --e-global-typography-text-font-family ), Sans-serif; font-weight: var( --e-global-typography-text-font-weight );">Let me ask you a question. How many do you see?</span></p><p><img loading="lazy" decoding="async" class="aligncenter size-large wp-image-13315" src="https://shelleygrayteaching.com/wp-content/uploads/2022/08/1-3-1024x576.png" alt="" width="1024" height="576" srcset="https://shelleygrayteaching.com/wp-content/uploads/2022/08/1-3-1024x576.png 1024w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/1-3-300x169.png 300w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/1-3-768x432.png 768w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/1-3-1536x864.png 1536w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/1-3-800x450.png 800w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/1-3.png 1920w" sizes="(max-width: 1024px) 100vw, 1024px" /></p><p> </p><p> </p><p>Now I want you to think about how you saw them. Chances are good that you didn&#8217;t count them one by one. Did you see 4 groups of 3? 2 groups of 6? Are there any other ways you can see them?</p><p> </p><p><img loading="lazy" decoding="async" class="aligncenter wp-image-13316 size-large" src="https://shelleygrayteaching.com/wp-content/uploads/2022/08/2-2-1024x576.png" alt="subitizing image" width="1024" height="576" srcset="https://shelleygrayteaching.com/wp-content/uploads/2022/08/2-2-1024x576.png 1024w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/2-2-300x169.png 300w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/2-2-768x432.png 768w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/2-2-1536x864.png 1536w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/2-2-800x450.png 800w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/2-2.png 1920w" sizes="(max-width: 1024px) 100vw, 1024px" /></p><p> </p><p> </p><p>Let&#8217;s try another one.</p><p><img loading="lazy" decoding="async" class="aligncenter size-large wp-image-13317" src="https://shelleygrayteaching.com/wp-content/uploads/2022/08/3-1-1024x576.png" alt="" width="1024" height="576" srcset="https://shelleygrayteaching.com/wp-content/uploads/2022/08/3-1-1024x576.png 1024w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/3-1-300x169.png 300w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/3-1-768x432.png 768w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/3-1-1536x864.png 1536w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/3-1-800x450.png 800w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/3-1.png 1920w" sizes="(max-width: 1024px) 100vw, 1024px" /></p><p>How did you see them this time? Do you see 4 diagonal groups of 3? Do you see 3 horizontal rows of 4? Maybe you saw 2 groups of 6. Are there any other ways you can see them?</p><p><img loading="lazy" decoding="async" class="aligncenter size-large wp-image-13318" src="https://shelleygrayteaching.com/wp-content/uploads/2022/08/4-1-1024x576.png" alt="" width="1024" height="576" srcset="https://shelleygrayteaching.com/wp-content/uploads/2022/08/4-1-1024x576.png 1024w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/4-1-300x169.png 300w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/4-1-768x432.png 768w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/4-1-1536x864.png 1536w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/4-1-800x450.png 800w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/4-1.png 1920w" sizes="(max-width: 1024px) 100vw, 1024px" /></p><p>What you just did is called <strong>subitizing</strong>. You <strong>recognized a quantity of objects without counting them one by one.</strong></p><p>When you practice subitizing, you become a flexible thinker, realizing that there are many different ways to make a number. You also build a strong foundation for number sense as you visualize numbers in different ways.</p><p>Subitizing is common in kindergarten and grade 1, but did you know it can be just as beneficial to students in older grades? Imagine the conversations you might have with a class of grade 3 or 4 students using subitizing images like this:</p><p><img loading="lazy" decoding="async" class="aligncenter wp-image-13319 size-large" src="https://shelleygrayteaching.com/wp-content/uploads/2022/08/5-1-1024x576.png" alt="subitizing with multiplication" width="1024" height="576" srcset="https://shelleygrayteaching.com/wp-content/uploads/2022/08/5-1-1024x576.png 1024w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/5-1-300x169.png 300w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/5-1-768x432.png 768w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/5-1-1536x864.png 1536w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/5-1-800x450.png 800w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/5-1.png 1920w" sizes="(max-width: 1024px) 100vw, 1024px" /></p><p><img loading="lazy" decoding="async" class="aligncenter size-large wp-image-13320" src="https://shelleygrayteaching.com/wp-content/uploads/2022/08/6-1024x576.png" alt="" width="1024" height="576" srcset="https://shelleygrayteaching.com/wp-content/uploads/2022/08/6-1024x576.png 1024w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/6-300x169.png 300w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/6-768x432.png 768w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/6-1536x864.png 1536w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/6-800x450.png 800w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/6.png 1920w" sizes="(max-width: 1024px) 100vw, 1024px" /></p><p> </p><p><img loading="lazy" decoding="async" class="aligncenter size-large wp-image-13321" src="https://shelleygrayteaching.com/wp-content/uploads/2022/08/7-1024x576.png" alt="" width="1024" height="576" srcset="https://shelleygrayteaching.com/wp-content/uploads/2022/08/7-1024x576.png 1024w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/7-300x169.png 300w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/7-768x432.png 768w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/7-1536x864.png 1536w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/7-800x450.png 800w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/7.png 1920w" sizes="(max-width: 1024px) 100vw, 1024px" /></p><p> </p><p>Or what about the conversations you might have with a grade 5 or 6 class using a visual like this?</p><p><img loading="lazy" decoding="async" class="aligncenter wp-image-13322 size-large" src="https://shelleygrayteaching.com/wp-content/uploads/2022/08/8-1024x576.png" alt="subitizing with fractions" width="1024" height="576" srcset="https://shelleygrayteaching.com/wp-content/uploads/2022/08/8-1024x576.png 1024w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/8-300x169.png 300w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/8-768x432.png 768w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/8-1536x864.png 1536w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/8-800x450.png 800w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/8.png 1920w" sizes="(max-width: 1024px) 100vw, 1024px" /></p><p> </p><p>Research supports the relationship between subitizing and strong number sense. But it can be a difficult routine to implement if you don&#8217;t have the proper visuals available to you.</p><p>Dot Talks are here to support you as you implement this routine in your classroom and work to close the number sense gaps that your students may be struggling with.</p><p>Dot Talks are intended as a whole-class,<strong> low-floor high-ceiling </strong>activity that will get even your most reluctant students involved. There is no wrong answer, as long as you can justify it!</p><p><a href="https://www.teacherspayteachers.com/Store/Shelley-Gray/Search:subitizing+dot+talks" target="_blank" rel="noopener"><img loading="lazy" decoding="async" class="aligncenter wp-image-13324 size-full" src="https://shelleygrayteaching.com/wp-content/uploads/2022/08/dot-talks-for-subitizing.png" alt="subitizing dot talks" width="1000" height="600" srcset="https://shelleygrayteaching.com/wp-content/uploads/2022/08/dot-talks-for-subitizing.png 1000w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/dot-talks-for-subitizing-300x180.png 300w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/dot-talks-for-subitizing-768x461.png 768w, https://shelleygrayteaching.com/wp-content/uploads/2022/08/dot-talks-for-subitizing-800x480.png 800w" sizes="(max-width: 1000px) 100vw, 1000px" /></a></p><h2> </h2><h2>Simple Tips for Getting Started Subitizing with Dot Talks</h2><h3>Begin with visuals that seem &#8220;too easy.&#8221;</h3><p>Even though you might think the visuals look too easy, it can be fascinating to hear how different students see the dots. This is also an opportunity to begin with something that seems &#8220;low-risk&#8221; to students who don&#8217;t generally participate in classroom discussions. As students get better at subitizing, use slides with more dots or more complex patterns.</p><p> </p><h3>Consider leaving images on the screen before getting into Quick Looks</h3><p>Often, subitizing activities are done as quick looks. This means that the teacher flashes the image for the students, giving them enough time to see it, but not enough time to count the dots one by one.</p><p>But when you first introduce subitizing to your class, you may want to simply leave the dot image on the screen and have a discussion about different ways to see the dots. Then move to quick looks once students are comfortable.</p><p> </p><h3>Use Dot Talks as a way to ease into number talks.</h3><p>If you plan to implement number talks this year for the first time, it can be intimidating to get started. Dot talks are a great way to ease into the <a href="https://shelleygrayteaching.com/5-reasons-to-use-number-talks/" target="_blank" rel="noopener">number talk routine</a>. It only takes 5 minutes, and your students will beg to do more! When you are ready to get into more complex math talks, your students will be used to the routine and more willing to participate.</p><p> </p><h2>About the Dot Talks Subitizing Routine</h2><p>Using Dot Talks for your subitizing routine will help your students:</p><ul class="unordered_list"><li class="list_item">build number sense</li><li class="list_item">visualize numbers and strategies</li><li class="list_item">become strategic and flexible thinkers</li><li class="list_item">boost math confidence</li></ul><p>Dot Talks are available in three different grade level packages and can be found here (be sure to download the free previews using the links below for an in depth look at what&#8217;s included):</p><ul class="unordered_list"><li class="list_item"><a href="https://www.teacherspayteachers.com/Product/Subitizing-Dot-Talks-for-Number-Talks-Subitize-for-Number-Sense-Grades-1-2-8458872" target="_blank" rel="noopener noreferrer">Grades 1-2</a></li><li class="list_item"><a href="https://www.teacherspayteachers.com/Product/Subitizing-Dot-Talks-for-Number-Talks-Subitize-for-Number-Sense-Grades-3-4-8458883" target="_blank" rel="noopener noreferrer">Grades 3-4</a></li><li class="list_item"><a href="https://www.teacherspayteachers.com/Product/Subitizing-Dot-Talks-for-Number-Talks-Subitize-for-Number-Sense-Grades-5-6-8458903" target="_blank" rel="noopener noreferrer">Grades 5-6</a></li></ul><p> </p><p>Or grab them as part of a <a href="https://www.teacherspayteachers.com/Store/Shelley-Gray/Search:number+talks+bundle+dot" target="_blank" rel="noopener noreferrer">Number Talk Bundle</a> along with Math Conversations to have your entire year of Math Talks planned out (no prep required)!</p>								</div>
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		<p>The post <a href="https://shelleygrayteaching.com/heres-an-easy-way-to-incorporate-subitizing-into-your-math-routine/">Here&#8217;s an Easy Way to Incorporate Subitizing into Your Math Routine</a> appeared first on <a href="https://shelleygrayteaching.com">Shelley Gray</a>.</p>
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