2341 /www/nrich/html/content/id/2341/ 1 2011-02-01T00:00:01 <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><br></br> <p> Some children were playing a game. </p> <p> They collected cards with ladybirds on them. </p> <p> Here are the cards they had at the end of the game: </p> <p> </p> <p>Aisha:</p> <table><tbody><tr><td><mdo:image width="164" height="99" src="Aisha1.gif" alt="3 ladybirds"></mdo:image></td> <td><mdo:image width="164" height="99" src="Aisha2.gif" alt="3 ladybirds"></mdo:image></td> </tr> </tbody> </table> <table><tbody><tr><td><mdo:image width="164" height="99" src="Aisha3.gif" alt="1 ladybird"></mdo:image></td> <td><mdo:image width="164" height="99" src="Aisha4.gif" alt="no ladybirds"></mdo:image></td> </tr> </tbody> </table> <p>Ben:</p> <table><tbody><tr><td><mdo:image width="164" height="99" src="Ben1.gif" alt="2 ladybirds"></mdo:image></td> <td><mdo:image width="164" height="99" src="Ben2.gif" alt="1 ladybird"></mdo:image></td> </tr> </tbody> </table> <table><tbody><tr><td><mdo:image width="164" height="99" src="Ben3.gif" alt="3 ladybirds"></mdo:image></td> <td><mdo:image width="164" height="99" src="Ben4.gif" alt="2 ladybirds"></mdo:image></td> </tr> </tbody> </table> <p></p> <p>Carmel:</p> <table><tbody><tr><td><mdo:image width="164" height="99" alt="2 ladybirds" src="Carmel1.gif"></mdo:image></td> <td><mdo:image width="164" height="99" alt="3 ladybirds" src="Carmel2.gif"></mdo:image></td> </tr> </tbody> </table> <table><tbody><tr><td><mdo:image width="164" height="99" alt="2 ladybirds" src="Carmel3.gif"></mdo:image></td> <td><mdo:image width="164" height="99" alt="3 ladybirds" src="Carmel4.gif"></mdo:image></td> </tr> </tbody> </table> <p></p> <p>Danny:</p> <table><tbody><tr><td><mdo:image width="164" height="99" alt="no ladybirds" src="Danny1.gif"></mdo:image></td> <td><mdo:image width="164" height="99" alt="no ladybirds" src="Danny2.gif"></mdo:image></td> </tr> </tbody> </table> <table><tbody><tr><td><mdo:image width="164" height="99" alt="3 ladybirds" src="Danny3.gif"></mdo:image></td> <td><mdo:image width="164" height="99" alt="1 ladybird" src="Danny4.gif"></mdo:image></td> </tr> </tbody> </table> <p></p> <p>Elaine:</p> <table><tbody><tr><td><mdo:image width="164" height="99" alt="1 ladybird" src="Elaine1.gif"></mdo:image></td> <td><mdo:image width="164" height="99" alt="3 ladybirds" src="Elaine2.gif"></mdo:image></td> </tr> </tbody> </table> <table><tbody><tr><td><mdo:image width="164" height="99" alt="3 ladybirds" src="Elaine3.gif"></mdo:image></td> <td><mdo:image width="164" height="99" alt="3 ladybirds" src="Elaine4.gif"></mdo:image></td> </tr> </tbody> </table> <p></p> <p>Make a graph or picture to show how many ladybirds each child had.</p> <br></br> <br></br> <br></br></mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><br></br> <p class="editorial"> Kali from Burnside Primary School, South Australia sent us a mind-map showing the number of ladybirds each child had:</p> <br></br> <br></br> <div style="text-align: center;"> <mdo:image width="500" height="300" src="kalisol.gif" alt="mind map showing number of ladybirds"></mdo:image></div> <br></br> <br></br> <p><span class="editorial"> We received several graphs showing the information. Ruth from Swanbourne House School sent this bar graph which is particularly clear</span>:</p> <br></br> <br></br> <div style="text-align: center;"> <mdo:image width="587" height="369" alt="bar graph showing number of ladybirds held by each child " src="ruthsol.jpg"></mdo:image></div> <br></br> <br></br></mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><div class="embed"> <h2>Ladybird Count</h2> <br></br> <p>Some children were playing a game.</p> <p>They collected cards with ladybirds on them.</p> <p>Here are the cards they had at the end of the game:</p> <p> </p> <p>Aisha:</p> <table> <tbody> <tr> <td><mdo:image alt="3 ladybirds" height="99" src="Aisha1.gif" width="164"></mdo:image></td> <td><mdo:image alt="3 ladybirds" height="99" src="Aisha2.gif" width="164"></mdo:image></td> </tr> </tbody> </table> <table> <tbody> <tr> <td><mdo:image alt="1 ladybird" height="99" src="Aisha3.gif" width="164"></mdo:image></td> <td><mdo:image alt="no ladybirds" height="99" src="Aisha4.gif" width="164"></mdo:image></td> </tr> </tbody> </table> <p>Ben:</p> <table> <tbody> <tr> <td><mdo:image alt="2 ladybirds" height="99" src="Ben1.gif" width="164"></mdo:image></td> <td><mdo:image alt="1 ladybird" height="99" src="Ben2.gif" width="164"></mdo:image></td> </tr> </tbody> </table> <table> <tbody> <tr> <td><mdo:image alt="3 ladybirds" height="99" src="Ben3.gif" width="164"></mdo:image></td> <td><mdo:image alt="2 ladybirds" height="99" src="Ben4.gif" width="164"></mdo:image></td> </tr> </tbody> </table> <p> </p> <p>Carmel:</p> <table> <tbody> <tr> <td><mdo:image alt="2 ladybirds" height="99" src="Carmel1.gif" width="164"></mdo:image></td> <td><mdo:image alt="3 ladybirds" height="99" src="Carmel2.gif" width="164"></mdo:image></td> </tr> </tbody> </table> <table> <tbody> <tr> <td><mdo:image alt="2 ladybirds" height="99" src="Carmel3.gif" width="164"></mdo:image></td> <td><mdo:image alt="3 ladybirds" height="99" src="Carmel4.gif" width="164"></mdo:image></td> </tr> </tbody> </table> <p> </p> <p>Danny:</p> <table> <tbody> <tr> <td><mdo:image alt="no ladybirds" height="99" src="Danny1.gif" width="164"></mdo:image></td> <td><mdo:image alt="no ladybirds" height="99" src="Danny2.gif" width="164"></mdo:image></td> </tr> </tbody> </table> <table> <tbody> <tr> <td><mdo:image alt="3 ladybirds" height="99" src="Danny3.gif" width="164"></mdo:image></td> <td><mdo:image alt="1 ladybird" height="99" src="Danny4.gif" width="164"></mdo:image></td> </tr> </tbody> </table> <p> </p> <p>Elaine:</p> <table> <tbody> <tr> <td><mdo:image alt="1 ladybird" height="99" src="Elaine1.gif" width="164"></mdo:image></td> <td><mdo:image alt="3 ladybirds" height="99" src="Elaine2.gif" width="164"></mdo:image></td> </tr> </tbody> </table> <table> <tbody> <tr> <td><mdo:image alt="3 ladybirds" height="99" src="Elaine3.gif" width="164"></mdo:image></td> <td><mdo:image alt="3 ladybirds" height="99" src="Elaine4.gif" width="164"></mdo:image></td> </tr> </tbody> </table> <p> </p> <p>Make a graph or picture to show how many ladybirds each child had.</p> <br></br> <br></br>  </div> <br></br> <h3><span style="font-weight: bold;">Why do this problem?</span></h3> <div><a href="http://nrich.maths.org/public/viewer.php?obj_id=2341&amp;part=index">This problem</a> offers children some raw data that they have not had to collect themselves. This has some advantages: you know that everyone has the same information without worrying about the accuracy of their recording methods. This means the focus can be analysis and representation rather than collection.</div> <br></br> <h3>Possible approach</h3> <div>First, the children need to begin to make sense of the situation. It is probably helpful to ask them to think about the pictures and to talk to each other about what the problem means. Offer them plenty of opportunities to think, without insisting on quick answers. After they have had this chance, find out their ideas and, if need be, they can be encouraged to focus by asking them how many ladybirds each child has.</div> <br></br> <div>From this point the question concentrates on how the data could be represented. Be prepared to consider a variety of responses: the solutions do not need to be bar charts or pictograms. Their suggestions will provide insight into the children&#39;s own methods of recording. Engaging in conversation with them about their representation may be essential and this is a great way to probe their previous experiences of handling and recording data.</div> <br></br> <div>The resulting representations would make a meaningful display.</div> <br></br> <h3>Key questions</h3> <div>How many ladybirds does each child have?</div> <div>How could you show that on a picture or chart?</div> <br></br> <h3>Possible extension</h3> <div>Some children could be challenged to show the information in more than one way. They may even be able to articulate which representation they think is best and why.</div> <br></br> <h3>Possible support</h3> <div>Some children may prefer to represent their ideas using media other than paper, for example cubes, counters etc.</div> <br></br> <br></br></mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"> <p> How many ladybirds does each child have? </p> </mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0">Aisha has 7 ladybirds<br></br>Ben has 8 ladybirds<br></br>Carmel has 10 ladybirds<br></br>Danny has 4 ladybirds<br></br>Elaine has 10 ladybirds<br></br><br></br></mdoxml> 2 3 1 0 0 0 0 Some children were playing a game. Make a graph or picture to show how many ladybirds each child had. Numbers and the Number System Counting Handling, Processing and Representing Data Processing and representing data Admin Lower primary mapping document