6290
/www/nrich/html/content/id/6290/
1
2011-02-01T00:00:01
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<mdoxml version="1.0"><br></br>
Can you place the numbers from $1$ to $40$ into this Venn
diagram?<br></br>
How do you know where to put each number? <br></br>
You might like to print off <a href="/content/id/6290/VennY3a.pdf">this sheet</a> if you do not want to
use the interactivity. <br></br>
<br></br>
<a href="/content/id/6290/VennY3a.swf">Full screen version</a>
<br></br>
<mdo:flash height="400" width="550"><param value="/content/id/6290/VennY3a.swf" name="movie" ></param><param value="7" name="flashplayerversion" ></param></mdo:flash><br></br>
<br></br>
<br></br>
Here is another one for you to try. If you'd prefer to work on
paper, print off <a href="/content/id/6290/VennY3b.pdf">this
sheet</a>.<br></br>
<br></br>
<a href="/content/id/6290/VennY3b.swf">Full screen version</a>
<br></br>
<mdo:flash height="400" width="550"><param value="/content/id/6290/VennY3b.swf" name="movie" ></param><param value="7" name="flashplayerversion" ></param></mdo:flash><br></br></mdoxml>
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<h2>Venn Diagrams</h2>
<br></br>
Can you place the numbers from $1$ to $40$ into this Venn diagram?<br></br>
How do you know where to put each number?<br></br>
You might like to print off <a href="/content/id/6290/VennY3a.pdf">this sheet</a> if you do not want to use the interactivity.<br></br>
<br></br>
<a href="/content/id/6290/VennY3a.swf">Full screen version</a><br></br>
<mdo:flash height="400" id="/content/id/6290/VennY3a.swf" width="550"><param name="allowfullscreen" value="true"></param><param name="movie" value="/content/id/6290/VennY3a.swf"></param>
<param name="flashplayerversion" value="7"></param>
</mdo:flash><br></br>
<br></br>
<br></br>
Here is another one for you to try. If you'd prefer to work on paper, print off <a href="/content/id/6290/VennY3b.pdf">this sheet</a>.<br></br>
<br></br>
<a href="/content/id/6290/VennY3b.swf">Full screen version</a><br></br>
<mdo:flash height="400" id="/content/id/6290/VennY3b.swf" width="550"><param name="allowfullscreen" value="true"></param><param name="movie" value="/content/id/6290/VennY3b.swf"></param>
<param name="flashplayerversion" value="7"></param>
</mdo:flash></div>
<br></br>
<h3><span style="font-weight: bold;">Why do this problem?</span></h3>
<a href="http://nrich.maths.org/public/viewer.php?obj_id=6290&part=index">This problem</a> provides an opportunity for children to become familiar with Venn diagrams, whilst reinforcing knowledge of number properties. Placing numbers in a Venn diagram requires children think of more than one property of a number at the same time and this problem will encourage them to explain their reasons
for placing the numbers.<br></br>
<h3>Possible approach</h3>
<div>You could introduce the group to Venn diagrams using this simple <a href="/content/id/6290/VennNos.swf">interactivity</a> on an interactive whiteboard. If the idea is completely new you could start by putting numbers into two single circles and show how the intersection takes numbers that have both properties.</div>
<br></br>
<div>If children work on these problems in pairs (either on paper or using the interactivity) it will encourage them to construct mathematical arguments to convince each other where on the diagram each number belongs. Explaining out loud in this way often helps to clarify thinking and will give a purpose for accurate use of mathematical vocabulary.</div>
<br></br>
<div>You could use the interactivities on an interactive whiteboard to help share their solutions in a plenary.</div>
<h3>Key questions</h3>
<div>What can you tell me about this number?</div>
<div>Where does this number go, in this circle, in that one, in both or in neither?</div>
<br></br>
<h3>Possible extension</h3>
Children who find these problems easy could try the third interactivity in <a href="http://nrich.maths.org/public/viewer.php?obj_id=5721&part=index">this problem</a> .<br></br>
<h3>Possible support</h3>
Some learners might find it easier to collect numbers with a certain property, for example, even numbers or numbers less than 10, in single circles. Then to look at those that should go in both circles.<br></br>
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<mdoxml version="1.0">Where would you put a number which is a multiple of $5$ but not
even? <br></br>
Where would an even multiple of $5$ go? <br></br>
Where would a number which is odd but not a multiple of $5$ go?
<br></br>
Where would you put a number which is not a multiple of $5$ and not
even?<br></br></mdoxml>
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Venn diagrams
Use the interactivities to complete these Venn diagrams.
Numbers and the Number System
Odd and even numbers
Numbers and the Number System
Factors and multiples
Numbers and the Number System
Comparing and Ordering numbers
Handling, Processing and Representing Data
Venn diagrams
Information and Communications Technology
Interactivities
Admin
Upper primary mapping document