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	Comments on: Partial Product	</title>
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	<description>less helpful</description>
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		<title>
		By: 100 Numbers to Get Students Talking - Sara VanDerWerf		</title>
		<link>/2011/partial-product/#comment-2437147</link>

		<dc:creator><![CDATA[100 Numbers to Get Students Talking - Sara VanDerWerf]]></dc:creator>
		<pubDate>Fri, 11 Aug 2017 21:00:06 +0000</pubDate>
		<guid isPermaLink="false">/?p=11588#comment-2437147</guid>

					<description><![CDATA[[&#8230;] grade 7 I used Dan Meyer&#8217;s Partial Product Task. Â Students should enter 7th grade with an understanding of ratios, and this is a great task for [&#8230;]]]></description>
			<content:encoded><![CDATA[<p>[&#8230;] grade 7 I used Dan Meyer&#8217;s Partial Product Task. Â Students should enter 7th grade with an understanding of ratios, and this is a great task for [&#8230;]</p>
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		<title>
		By: Dan Meyer		</title>
		<link>/2011/partial-product/#comment-667296</link>

		<dc:creator><![CDATA[Dan Meyer]]></dc:creator>
		<pubDate>Fri, 11 Jan 2013 19:33:39 +0000</pubDate>
		<guid isPermaLink="false">/?p=11588#comment-667296</guid>

					<description><![CDATA[Thanks a mil for the recap, &lt;strong&gt;Marty&lt;/strong&gt;. I&#039;m struggling lately to figure out what kind of write-up we should ask from students with this kind of work. Your four steps help push my thoughts forward.]]></description>
			<content:encoded><![CDATA[<p>Thanks a mil for the recap, <strong>Marty</strong>. I&#8217;m struggling lately to figure out what kind of write-up we should ask from students with this kind of work. Your four steps help push my thoughts forward.</p>
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		<title>
		By: Marty		</title>
		<link>/2011/partial-product/#comment-665986</link>

		<dc:creator><![CDATA[Marty]]></dc:creator>
		<pubDate>Fri, 11 Jan 2013 05:15:58 +0000</pubDate>
		<guid isPermaLink="false">/?p=11588#comment-665986</guid>

					<description><![CDATA[I am doing this tomorrow with my Math 8 students. We have talked about equivalent ratios and used it to find out the best deal for tickets to a state fair. I am curious to see if any of them setup a proportion which is what I will be teaching next week and/or the week after. Setting cross products equal to each other.

I did the lesson. They were super engaged. When they divided the price by the number of items they realized they did it incorrectly without me telling them. Great activity, thanks Dan!!

I had them do a 4 step writeup:
1) restate the problem
2) organize the facts and state how you will solve
3) solve it and show work
4) verify and check your work]]></description>
			<content:encoded><![CDATA[<p>I am doing this tomorrow with my Math 8 students. We have talked about equivalent ratios and used it to find out the best deal for tickets to a state fair. I am curious to see if any of them setup a proportion which is what I will be teaching next week and/or the week after. Setting cross products equal to each other.</p>
<p>I did the lesson. They were super engaged. When they divided the price by the number of items they realized they did it incorrectly without me telling them. Great activity, thanks Dan!!</p>
<p>I had them do a 4 step writeup:<br />
1) restate the problem<br />
2) organize the facts and state how you will solve<br />
3) solve it and show work<br />
4) verify and check your work</p>
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		<title>
		By: dy/dan &#187; Blog Archive &#187; The Yellow Pages Are My PLC		</title>
		<link>/2011/partial-product/#comment-371369</link>

		<dc:creator><![CDATA[dy/dan &#187; Blog Archive &#187; The Yellow Pages Are My PLC]]></dc:creator>
		<pubDate>Wed, 04 Jan 2012 02:24:46 +0000</pubDate>
		<guid isPermaLink="false">/?p=11588#comment-371369</guid>

					<description><![CDATA[[...] Partial Product. The corporate grocery store told me no way that&#039;d let me take photos on their counter so I head over to the local grocery store on the corner where the grocer, after we worked through our language barrier, let me set up my problem. [...]]]></description>
			<content:encoded><![CDATA[<p>[&#8230;] Partial Product. The corporate grocery store told me no way that&#039;d let me take photos on their counter so I head over to the local grocery store on the corner where the grocer, after we worked through our language barrier, let me set up my problem. [&#8230;]</p>
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		<title>
		By: Kathy Favazza		</title>
		<link>/2011/partial-product/#comment-336584</link>

		<dc:creator><![CDATA[Kathy Favazza]]></dc:creator>
		<pubDate>Wed, 19 Oct 2011 21:54:21 +0000</pubDate>
		<guid isPermaLink="false">/?p=11588#comment-336584</guid>

					<description><![CDATA[Dan, my colleague and I have been following your lead with our Algebra curriculum this year and it is fantastic. We each have a class of 7th graders who are taking Algebra 1, so talented math kids. We&#039;ve blended in some work with the new Ti-Nspire CAS handhelds.  We find our kids much more involved in thinking about the mathematics they are doing. 

  In any case, we used your partial products as the opener one day earlier this week and every student in the class was engaged.  Most found the unit rate for each and then the total.  We had a great conversation about when to round.  One 7th grade boy said that both answers were correct but leaving the entire decimal with the unit rate, then multiplying by however many items you are buying is the more accurate answer. Some kids were not happy with two correct answers. It was a great discussion about mathematics in the real world.  Thanks for sharing all you do, it has certainly changed the way I teach.]]></description>
			<content:encoded><![CDATA[<p>Dan, my colleague and I have been following your lead with our Algebra curriculum this year and it is fantastic. We each have a class of 7th graders who are taking Algebra 1, so talented math kids. We&#8217;ve blended in some work with the new Ti-Nspire CAS handhelds.  We find our kids much more involved in thinking about the mathematics they are doing. </p>
<p>  In any case, we used your partial products as the opener one day earlier this week and every student in the class was engaged.  Most found the unit rate for each and then the total.  We had a great conversation about when to round.  One 7th grade boy said that both answers were correct but leaving the entire decimal with the unit rate, then multiplying by however many items you are buying is the more accurate answer. Some kids were not happy with two correct answers. It was a great discussion about mathematics in the real world.  Thanks for sharing all you do, it has certainly changed the way I teach.</p>
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		<title>
		By: dy/dan &#187; Blog Archive &#187; Eric The Sheep		</title>
		<link>/2011/partial-product/#comment-332315</link>

		<dc:creator><![CDATA[dy/dan &#187; Blog Archive &#187; Eric The Sheep]]></dc:creator>
		<pubDate>Sun, 09 Oct 2011 23:25:31 +0000</pubDate>
		<guid isPermaLink="false">/?p=11588#comment-332315</guid>

					<description><![CDATA[[...] Paul: A line of 50 sheep makes me wonder why I would ever have to use variables to represent the problem. [...]]]></description>
			<content:encoded><![CDATA[<p>[&#8230;] Paul: A line of 50 sheep makes me wonder why I would ever have to use variables to represent the problem. [&#8230;]</p>
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		<title>
		By: Emily		</title>
		<link>/2011/partial-product/#comment-330279</link>

		<dc:creator><![CDATA[Emily]]></dc:creator>
		<pubDate>Tue, 04 Oct 2011 14:09:44 +0000</pubDate>
		<guid isPermaLink="false">/?p=11588#comment-330279</guid>

					<description><![CDATA[But Dan, stores don&#039;t allow this!

Aren&#039;t you just creating a contrived situation here? I&#039;m with Dave on this one. While your photos might be good for provoking some questions about pricing strategies, I think a better motivational photo would be those supermarket ads where they advertise &quot;3 for $5,&quot; &quot;buy two, get one free,&quot; etc. This might provoke the same mathematical lesson, along with a valuable life lesson about the psychology of pricing.]]></description>
			<content:encoded><![CDATA[<p>But Dan, stores don&#8217;t allow this!</p>
<p>Aren&#8217;t you just creating a contrived situation here? I&#8217;m with Dave on this one. While your photos might be good for provoking some questions about pricing strategies, I think a better motivational photo would be those supermarket ads where they advertise &#8220;3 for $5,&#8221; &#8220;buy two, get one free,&#8221; etc. This might provoke the same mathematical lesson, along with a valuable life lesson about the psychology of pricing.</p>
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		<title>
		By: Paul		</title>
		<link>/2011/partial-product/#comment-330275</link>

		<dc:creator><![CDATA[Paul]]></dc:creator>
		<pubDate>Tue, 04 Oct 2011 13:54:24 +0000</pubDate>
		<guid isPermaLink="false">/?p=11588#comment-330275</guid>

					<description><![CDATA[Not wishing to derail the comments, but just wanted to thank Cindy for the video link. I&#039;m going to use this for a different topic: Lowest (Least) Common Multiple. Seems just as (if not more) relevant to me.]]></description>
			<content:encoded><![CDATA[<p>Not wishing to derail the comments, but just wanted to thank Cindy for the video link. I&#8217;m going to use this for a different topic: Lowest (Least) Common Multiple. Seems just as (if not more) relevant to me.</p>
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		<title>
		By: Dave		</title>
		<link>/2011/partial-product/#comment-329990</link>

		<dc:creator><![CDATA[Dave]]></dc:creator>
		<pubDate>Mon, 03 Oct 2011 18:07:28 +0000</pubDate>
		<guid isPermaLink="false">/?p=11588#comment-329990</guid>

					<description><![CDATA[Two thoughts:

1) I would rather see this problem as a comparison between price tags at two different stores that are both offering a &quot;2 for $5&quot; sale: one store that keeps that price for smaller quantities, and one store that doesn&#039;t. (Around me, most grocery stores keep consistent and most convenience stores will have tags like &quot;2 for $2 or 1 for $1.19&quot;.) I feel like that&#039;s a little less forced than a hypothetical situation about splitting.

2) Wasn&#039;t sure whether to mention this, but it&#039;s math-related and you always ask what questions we have after seeing your visual aids. My first question was &quot;What&#039;s the pattern/rule behind the letter omissions on the price tags?&quot;. My answer is that there doesn&#039;t seem to be one; the full, unaltered phrase &quot;APPLE JUICE&quot; would fit numerically and width-wise in the space used for &quot;BLKBRRY SODA&quot;.]]></description>
			<content:encoded><![CDATA[<p>Two thoughts:</p>
<p>1) I would rather see this problem as a comparison between price tags at two different stores that are both offering a &#8220;2 for $5&#8221; sale: one store that keeps that price for smaller quantities, and one store that doesn&#8217;t. (Around me, most grocery stores keep consistent and most convenience stores will have tags like &#8220;2 for $2 or 1 for $1.19&#8221;.) I feel like that&#8217;s a little less forced than a hypothetical situation about splitting.</p>
<p>2) Wasn&#8217;t sure whether to mention this, but it&#8217;s math-related and you always ask what questions we have after seeing your visual aids. My first question was &#8220;What&#8217;s the pattern/rule behind the letter omissions on the price tags?&#8221;. My answer is that there doesn&#8217;t seem to be one; the full, unaltered phrase &#8220;APPLE JUICE&#8221; would fit numerically and width-wise in the space used for &#8220;BLKBRRY SODA&#8221;.</p>
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		<title>
		By: Susan		</title>
		<link>/2011/partial-product/#comment-329397</link>

		<dc:creator><![CDATA[Susan]]></dc:creator>
		<pubDate>Sun, 02 Oct 2011 00:37:48 +0000</pubDate>
		<guid isPermaLink="false">/?p=11588#comment-329397</guid>

					<description><![CDATA[Wow, there was really a lot of great discussion about this topic.  As a middle school math teacher, I find that students think in so many different ways about different math topics. Sometimes I think it depends on the students’ previous learning.  I have had students who come in from other schools and say, “Wait, I learned it this way before.” I am very frank and tell the students that there is usually more than one way to solve a problem correctly.  Teaching the students several strategies for problem solving creates lifelong learners.]]></description>
			<content:encoded><![CDATA[<p>Wow, there was really a lot of great discussion about this topic.  As a middle school math teacher, I find that students think in so many different ways about different math topics. Sometimes I think it depends on the students’ previous learning.  I have had students who come in from other schools and say, “Wait, I learned it this way before.” I am very frank and tell the students that there is usually more than one way to solve a problem correctly.  Teaching the students several strategies for problem solving creates lifelong learners.</p>
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