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      <title>Math Methods Project by Ian Murphy</title>
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      <pubDate>2023-09-01 01:23:21 UTC</pubDate>
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         <title>Fraction Articles</title>
         <author>theianmurphy194</author>
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         <pubDate>2023-10-12 17:34:47 UTC</pubDate>
         <guid>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2744014018</guid>
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         <title>Whole numbers shapes into fractions</title>
         <author>theianmurphy194</author>
         <link>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2744015406</link>
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         <pubDate>2023-10-12 17:36:03 UTC</pubDate>
         <guid>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2744015406</guid>
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         <title>shapes can be used to visualize how half of a shape is now 1/2</title>
         <author>theianmurphy194</author>
         <link>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2744016981</link>
         <description><![CDATA[]]></description>
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         <pubDate>2023-10-12 17:37:18 UTC</pubDate>
         <guid>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2744016981</guid>
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      <item>
         <title>Dr. M Checking in</title>
         <author></author>
         <link>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2744041014</link>
         <description><![CDATA[<div>Thanks for sharing your content ideas here. It's a good start. &nbsp;<br>&nbsp;<br>&nbsp;Next you’ll want to share about your technology and identify a standard so you know which<br>direction you are headed with your planning.&nbsp;<br><br></div><div>Use the Padlet to keep collecting more information about how to use this technology to teach math concepts in the classroom as this will be the first part of your presentation. Then you'll want to add lesson ideas, grade level considerations, misconceptions and then move on to writing a lesson plan that meets different readiness levels.&nbsp;<br><br></div>]]></description>
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         <pubDate>2023-10-12 17:55:07 UTC</pubDate>
         <guid>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2744041014</guid>
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         <title>3D printer in the classroom</title>
         <author>ctayflores23</author>
         <link>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2744101636</link>
         <description><![CDATA[]]></description>
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         <pubDate>2023-10-12 18:41:30 UTC</pubDate>
         <guid>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2744101636</guid>
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         <title>3rd Grade Common Core Standards</title>
         <author>ctayflores23</author>
         <link>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2744103164</link>
         <description><![CDATA[<div>Develop understanding of fractions as numbers.</div><div><a href="https://www.thecorestandards.org/Math/Content/3/NF/A/1/">CCSS.MATH.CONTENT.3.NF.A.1</a><br>Understand a fraction 1/<em>b</em> as the quantity formed by 1 part when a whole is partitioned into <em>b</em> equal parts; understand a fraction <em>a</em>/<em>b</em> as the quantity formed by <em>a</em> parts of size 1/<em>b</em>.</div><div><a href="https://www.thecorestandards.org/Math/Content/3/NF/A/2/">CCSS.MATH.CONTENT.3.NF.A.2</a><br>Understand a fraction as a number on the number line; represent fractions on a number line diagram.</div><div><a href="https://www.thecorestandards.org/Math/Content/3/NF/A/2/a/">CCSS.MATH.CONTENT.3.NF.A.2.A</a><br>Represent a fraction 1/<em>b</em> on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into <em>b</em> equal parts. Recognize that each part has size 1/<em>b</em> and that the endpoint of the part based at 0 locates the number 1/<em>b</em> on the number line.</div><div><a href="https://www.thecorestandards.org/Math/Content/3/NF/A/2/b/">CCSS.MATH.CONTENT.3.NF.A.2.B</a><br>Represent a fraction <em>a</em>/<em>b</em> on a number line diagram by marking off a lengths 1/<em>b</em> from 0. Recognize that the resulting interval has size <em>a</em>/<em>b</em> and that its endpoint locates the number <em>a</em>/<em>b</em> on the number line.</div><div><a href="https://www.thecorestandards.org/Math/Content/3/NF/A/3/">CCSS.MATH.CONTENT.3.NF.A.3</a><br>Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.</div><div><a href="https://www.thecorestandards.org/Math/Content/3/NF/A/3/a/">CCSS.MATH.CONTENT.3.NF.A.3.A</a><br>Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.</div><div><a href="https://www.thecorestandards.org/Math/Content/3/NF/A/3/b/">CCSS.MATH.CONTENT.3.NF.A.3.B</a><br>Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.</div><div><a href="https://www.thecorestandards.org/Math/Content/3/NF/A/3/c/">CCSS.MATH.CONTENT.3.NF.A.3.C</a><br>Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. <em>Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram</em>.</div><div><a href="https://www.thecorestandards.org/Math/Content/3/NF/A/3/d/">CCSS.MATH.CONTENT.3.NF.A.3.D</a><br>Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols &gt;, =, or &lt;, and justify the conclusions, e.g., by using a visual fraction model.</div>]]></description>
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         <pubDate>2023-10-12 18:42:51 UTC</pubDate>
         <guid>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2744103164</guid>
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      <item>
         <title>3D printer idea</title>
         <author>ctayflores23</author>
         <link>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2744107345</link>
         <description><![CDATA[<div>This fraction block set is an example of something that could be made on a school 3D printer. This hands-on manipulative could be used when just introducing fractions, comparting fractions, adding/subtracting fractions etc. </div>]]></description>
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         <pubDate>2023-10-12 18:46:29 UTC</pubDate>
         <guid>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2744107345</guid>
      </item>
      <item>
         <title>Misconceptions per Van De Walle</title>
         <author>ctayflores23</author>
         <link>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2767637737</link>
         <description><![CDATA[<ol><li><p>Students apply whole number operations rules to fractions. </p><ol><li><p>1/2 +1/2 = 2/4 instead of 1 </p></li><li><p>How to help? Ask students to tell what the numerator and denominator mean, tell stories w/ relatable context, ask students to make their own stories w/ relatable context, use manipulatives.</p></li></ol></li><li><p>Students get different answers with models than with symbols when the answers should be the same.</p><ol><li><p>How to help? Ask students to decide whether both answers could be right, ask students to defend the right answer and why the other isn't correct, ask students to use the same model to show the solution, encourage students to do the problem on a number line. </p></li></ol></li><li><p>Students don't find a common denominator, but apply standard algorithm. </p><ol><li><p>4/5+4/10=8/10 instead of 12/10 or 1 1/5</p></li><li><p>How to help? Ask students to model the problem on a numberline or w/ fraction strips</p></li></ol></li><li><p>Students struggle w/ finding a common denominator.</p><ol><li><p>How to help? Offer games and activities to reinforce multiplication facts, do common multiple activities, discuss that while finding a smaller common denominator has advantages, any denominator will work, ask students to discuss strategies they use to come up with a CD.</p></li></ol></li><li><p> Mixed numbers: Subtract smaller fraction from larger, don't know what to do when one number is a whole number, focus only on whole number part of the problem. </p><ol><li><p>How to help? include more mixed numbers throughout addition of fraction units, use models and contexts, make errors part of class discussions. </p></li></ol></li></ol>]]></description>
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         <pubDate>2023-10-29 14:42:10 UTC</pubDate>
         <guid>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2767637737</guid>
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      <item>
         <title>Childrens Books to Go w/ Fractions Lesson? </title>
         <author>ctayflores23</author>
         <link>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2767653320</link>
         <description><![CDATA[<p><strong>"The Doorbell Rang" by Pat Hutchins</strong> (We talked about this one in class! )</p><ul><li><p><em>Summary:</em> When a dozen cookies are shared among a growing number of children, readers can explore division, fractions, and sharing in a fun and engaging way.</p></li></ul><p><strong>"Give Me Half!" by Stuart J. Murphy</strong></p><ul><li><p><em>Summary:</em> A young brother and sister explore the concept of halves as they discover how to equally share items, from toys to snacks, making fractions relatable to everyday life.</p></li></ul><p><strong>"Apple Fractions" by Jerry Pallotta (A fun one for fall b/c of the apples.)</strong></p><ul><li><p><em>Summary:</em> Join a group of kids as they pick apples and learn about fractions through the process of dividing apples into halves, quarters, and other fractional parts, making learning math fun with a tasty twist.</p></li></ul><p><strong>"Elevator Magic" by Stuart J. Murphy</strong></p><ul><li><p><em>Summary:</em> A young boy named Sam uses the elevator in his apartment building to explore fractions as he discovers that the elevator stops on every floor and learns how to describe their positions using fractions.</p></li></ul>]]></description>
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         <pubDate>2023-10-29 15:08:21 UTC</pubDate>
         <guid>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2767653320</guid>
      </item>
      <item>
         <title>3D printing for beginners </title>
         <author>theianmurphy194</author>
         <link>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2769240828</link>
         <description><![CDATA[]]></description>
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         <pubDate>2023-10-30 16:53:15 UTC</pubDate>
         <guid>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2769240828</guid>
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      <item>
         <title>Lesson Ideas</title>
         <author></author>
         <link>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2772377523</link>
         <description><![CDATA[<ol><li><p><strong>Intro to Fractions</strong>: Start with a basic intro to fractions. Explain that fractions represent parts of a whole and use everyday examples, like a pizza, to illustrate the concept. Similar to what we did in our Virtual Teaching lesson.</p></li><li><p><strong>3D Printing Basics</strong>: Introduce the concept of 3D printing. Explain that it can be used to create 3D objects. Show them a 3D printer in action.</p></li><li><p><strong>Design and Print Whole Objects</strong>: Begin by designing and printing simple 3D objects that can be easily divided into equal parts, such as cubes or rectangles. This is the whole.</p></li><li><p><strong>Visualizing Fractions</strong>: Once the objects are printed, show the students the whole object and explain that this represents "1." Then, use a marker or colored tape to divide the object into equal parts. For example, if you have a cube, divide it into halves, thirds, or fourths. Explain that each part represents a fraction of the whole.</p></li><li><p><strong>Interactive Learning</strong>: Let the students interact with the 3D-printed objects. Have them physically hold and manipulate the objects to understand the concept of fractions. </p></li><li><p><strong>Comparing Fractions</strong>: Create multiple 3D objects with different fractional divisions. For example, you can have one cube divided into thirds and another into fourths. Ask the students to compare and contrast.</p></li><li><p><strong>Adding and Subtracting Fractions</strong>: </p><p>For example, you can combine two cubes, each divided into thirds, to demonstrate 2/3 + 2/3 = 4/3.</p></li><li><p><strong>Real-Life Applications</strong>: Discuss real-life scenarios where understanding fractions is useful, such as cooking or sharing toys. Ask for examples that they know of that fractions might apply.</p></li><li><p><strong>Assessment and Activities</strong>: Create activities that involve using 3D-printed objects to practice working with fractions. This can include tasks like coloring in fractions of a 3D shape or creating fraction creatures with the 3D printed shapes. </p></li><li><p><strong>Reflection and Discussion</strong>: End the lesson with a reflection and discussion. Ask students to share what they've learned and how 3D printing helped them understand fractions. Add in an exit ticket question? </p></li></ol>]]></description>
         <enclosure url="" />
         <pubDate>2023-11-01 14:57:55 UTC</pubDate>
         <guid>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2772377523</guid>
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         <title>Activity Idea - Fraction puzzles</title>
         <author>ctayflores23</author>
         <link>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2782059565</link>
         <description><![CDATA[<p>These puzzle pieces could be 3D printed instead of being paper. This puzzle set could be reused for years and could become a great manipulative to have in the classroom.</p>]]></description>
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         <pubDate>2023-11-08 18:43:58 UTC</pubDate>
         <guid>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2782059565</guid>
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      <item>
         <title>Activity to go with the book &quot;Give Me Half!&quot; by Stuart J. Murphy</title>
         <author>ctayflores23</author>
         <link>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2782062845</link>
         <description><![CDATA[<p> The pizza and cookie could be 3D printed instead of made from paper, but the writing element and the reading element could still be applied. </p>]]></description>
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         <pubDate>2023-11-08 18:46:11 UTC</pubDate>
         <guid>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2782062845</guid>
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      <item>
         <title>Fractions Vocabulary</title>
         <author>ctayflores23</author>
         <link>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2782065531</link>
         <description><![CDATA[<p>Hands on interactive way to talk about the academic language associated with fractions. This could be introduced at the beginning of the first fractions unit.</p>]]></description>
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         <pubDate>2023-11-08 18:48:17 UTC</pubDate>
         <guid>https://padlet.com/theianmurphy194/ve7b5bp4adad54o6/wish/2782065531</guid>
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