5560
/www/nrich/html/content/id/5560/
1
2011-02-01T00:00:01
<?xml version="1.0" encoding="UTF-8"?>
<mdoxml version="1.0"><a href="/content/id/5560/Turn%20Man.swf">Full screen
version</a><br></br>
<mdo:flash height="400" width="550"><param value="/content/id/5560/Turn%20Man.swf" name="movie" ></param><param value="7" name="flashplayerversion" ></param></mdo:flash>
<p>Use this interactivity to find out how many times you could
press the "turn" button to make the man look the same as in each of
the pictures.</p>
<br></br>
Is there more than one answer each time?<br></br>
<br></br>
If you don't want to use the interactivity, you could print off and
cut out a man from <a href="/content/id/5560/turningmen.doc">this
sheet</a> .<br></br></mdoxml>
<?xml version="1.0" encoding="UTF-8"?>
<mdoxml version="1.0"><br></br>
<p class="editorial">Etta from Rosendale Primary School wrote to
tell us that you must click once for the first picture, twice for
the second picture (the one on the right-hand side), three times
for the third man and four times for the last picture at the
bottom.</p>
<p class="editorial">Alice from Perse Girls' Senior School went on
to explain:</p>
... you can continue turning it so if the first position took $1$
turn then you turn him another $4$ turns so he's in the same
position.<br></br>
<br></br>
<p class="editorial">Thank you to both of you.</p>
<br></br></mdoxml>
<?xml version="1.0" encoding="UTF-8"?>
<mdoxml version="1.0"><div class="embed">
<h2>Turning Man</h2>
<a href="/content/id/5560/Turn%20Man.swf">Full screen version</a><br></br>
<mdo:flash height="400" id="/content/id/5560/Turn%20Man.swf" width="550"><param name="allowfullscreen" value="true"></param><param name="movie" value="/content/id/5560/Turn%20Man.swf"></param>
<param name="flashplayerversion" value="7"></param>
</mdo:flash>
<p>Use this interactivity to find out how many times you could press the "turn" button to make the man look the same as in each of the pictures.</p>
<br></br>
Is there more than one answer each time?<br></br>
<br></br>
If you don't want to use the interactivity, you could print off and cut out a man from <a href="/content/id/5560/turningmen.doc">this sheet</a> .</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=5560&part=index">This problem</a> is intended to help children who are confident about turning themselves a quarter or half turn, but find it difficult to relate this to quarter or half turns in a picture or diagram. The <a href="http://nrich.maths.org/public/viewer.php?obj_id=5560&part=index">Turning Man</a> is a "halfway house"
between these two.<br></br>
<h3>Possible approach</h3>
<div>Young children need plenty of opportunities to turn <span style="font-style: italic;">themselves</span> before they are able to apply the ideas to other things. By way of introduction, you could work with them in a large space, perhaps outside or in the school hall, asking them to turn by different amounts physically. They can find it difficult to visualise turning and this problem, with the
interactivity, offers a bridge.</div>
<br></br>
<div>If you do not use the interactivity, you could print off <a href="/content/id/5560/turningmen.doc">this sheet</a> of men and give each child, or pair, one man. You could have your own man pinned to the board and demonstrate how he can be rotated, in quarter turns. You will probably need to ask the children to turn their man in the same way before going on to pose questions orally with the
whole class. Children could then work in pairs on the challenges by moving their man on the table.</div>
<h3>Key questions</h3>
<div>Which way round does the man turn?</div>
Where will he be after one, two, three ... turns?
<h3>Possible extension</h3>
This problem could be extended by asking pupils to predict what the man will look like after a certain number of turns - they could then check using the interactivity or a paper copy of the man.<br></br>
<br></br></mdoxml>
<?xml version="1.0" encoding="UTF-8"?>
<mdoxml version="1.0"><br></br>
Have a go at pressing the "turn" button. Can you see what is
happening each time?<br></br>
You could print off and cut out a man from <a href="/content/id/5560/turningmen.doc">this sheet</a> if you don't want
to use the interactivity. <br></br></mdoxml>
2
3
1
0
0
0
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Turning Man
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
Information and Communications Technology
Interactivities
Transformations and their Properties
Rotations
Admin
Lower primary mapping document