5656
/www/nrich/html/content/id/5656/
1
2011-02-01T00:00:01
<?xml version="1.0" encoding="UTF-8"?>
<mdoxml version="1.0"><br></br>
Well, let's have a look at doing some simple turning. <br></br>
Here's something to do at the computer, or you can make a similar
thing from card (see the <a href="http://nrich.maths.org/public/viewer.php?obj_id=5656&part=note">
Notes Section</a> ).<br></br>
<br></br>
<a href="/content/id/5656/TwoCircles.swf">Full Screen Version</a>
<br></br>
<mdo:flash height="400" width="550"><param value="/content/id/5656/TwoCircles.swf" name="movie" ></param><param value="8" name="flashplayerversion" ></param><param value="400" name="height" ></param><param value="550" name="width" ></param></mdo:flash><br></br>
Use your mouse to move the green or red part of the discs. Can you
make a turning that shows what:<br></br>
a) a book being opened looks like from above?<br></br>
b) turning a volume knob on your music player looks like?<br></br>
c) a bicycle wheel looks like when going along?<br></br>
d) a door would look like from above as it's being opened?<br></br>
e) what a hamster wheel looks like when the hamster's running
inside it?<br></br>
<br></br>
Describe and then show some other things that you do or have seen,
that turn in this way.<br></br>
<br></br>
You can also have challenges that are just to do with the picture
you see, for example, can you make the turning shape appear on the
other side?<br></br>
<mdo:image width="390" height="171" alt="OppCircles" src="OppCircles.jpg"></mdo:image><br></br>
Can you make the red part twice the size of the green? <br></br>
<div style="margin-left: 40px;"></div>
<div>Have fun! You're experiencing Angles - the way turning is
measured.</div>
<br></br></mdoxml>
<?xml version="1.0" encoding="UTF-8"?>
<mdoxml version="1.0"><br></br>
<p class="editorial">George wrote to us and described a way to move
part of the red or green discs using fractions.</p>
He said to make the green $\frac{1}{3}$ and the red $\frac{2}{3}$.
<p class="editorial">So, something like this:</p>
<br></br>
<div><mdo:image width="150" height="144" alt="green 1/3 and red 2/3" src="sol.gif"></mdo:image></div>
<br></br>
<p class="editorial">However George didn't say what he was showing
by turning in this way. I like the way you've described where the
turning finishes, George.</p>
<br></br>
<span class="editorial">Perhaps you have some ideas?</span>
<p class="editorial">Can you describe how you would move the
discs?</p>
<p class="editorial">You might have some other ways of explaining
what happens. Please don't worry that your solution is not
"complete" - we'd like to hear about anything you have tried.
Teachers - you might like to send a summary of your
children's work.</p>
<br></br></mdoxml>
<?xml version="1.0" encoding="UTF-8"?>
<mdoxml version="1.0"><div class="embed">
<h2>Turning</h2>
<br></br>
Well, let's have a look at doing some simple turning.<br></br>
Here's something to do at the computer, or you can make a similar thing from card (see the <a href="http://nrich.maths.org/public/viewer.php?obj_id=5656&part=note">Notes Section</a> ).<br></br>
<br></br>
<a href="/content/id/5656/TwoCircles.swf">Full Screen Version</a><br></br>
<mdo:flash height="400" id="/content/id/5656/TwoCircles.swf" width="550"><param name="allowfullscreen" value="true"></param><param name="movie" value="/content/id/5656/TwoCircles.swf"></param>
<param name="flashplayerversion" value="8"></param>
<param name="height" value="400"></param>
<param name="width" value="550"></param>
</mdo:flash><br></br>
Use your mouse to move the green or red part of the discs. Can you make a turning that shows what:<br></br>
a) a book being opened looks like from above?<br></br>
b) turning a volume knob on your music player looks like?<br></br>
c) a bicycle wheel looks like when going along?<br></br>
d) a door would look like from above as it's being opened?<br></br>
e) what a hamster wheel looks like when the hamster's running inside it?<br></br>
<br></br>
Describe and then show some other things that you do or have seen, that turn in this way.<br></br>
<br></br>
You can also have challenges that are just to do with the picture you see, for example, can you make the turning shape appear on the other side?<br></br>
<mdo:image alt="OppCircles" height="171" src="OppCircles.jpg" width="390"></mdo:image><br></br>
Can you make the red part twice the size of the green?<br></br>
<div style="margin-left: 40px;"> </div>
<div>Have fun! You're experiencing Angles - the way turning is measured.</div>
</div>
<br></br>
<h3><span style="font-weight: bold;">Why do this problem?</span></h3>
<div>This <a href="http://nrich.maths.org/public/viewer.php?obj_id=5656&part=">investigation</a> allows children to experiment with turning - they would not need any prior experience to have a go at the activities. The interactivity is a tool for helping pupils develop the concept of turning and can be used before moving on to angle work.</div>
<br></br>
<h3>Possible approach</h3>
<div>Show the class how the interactivity works (whether you are using the computer-based version or the card version detailed below) by manipulating it as they watch, talking through what you are doing.</div>
<br></br>
<div>You might want to continue by encouraging children to visualise one of the scenarios. Can someone use the interactivity to show the turning they had been imagining? Invite the rest of the group to comment and refine the motion accordingly. You could then actually find the article and do what is described to see how accurate the interactivity was.</div>
<br></br>
<div>Children could then work in pairs, either at a computer, or with the card version. Encourage them to talk to each other as they try out their ideas.</div>
<br></br>
<h3>Key questions</h3>
<div>Tell me about what you are imagining.</div>
<div>How could we "check" what you have done?</div>
<br></br>
<h3>Possible extension</h3>
<div>Children could demonstrate a turn and challenge other children to select what it represents from, for example, a list of three scenarios.</div>
<br></br>
<h3>Possible support</h3>
<div>To make a version of this interactivity which does not require technology, we just need two differently-coloured discs of thick paper or card. A slit is cut into each from the edge to the centre in a straight line. The two slots are then allowed to overlap each other and turning links the two together.</div>
<br></br>
<div style="text-align: center;"><mdo:image alt="circle" height="98" src="CircleAngles.jpg" width="506"></mdo:image></div>
<br></br>
<br></br></mdoxml>
<?xml version="1.0" encoding="UTF-8"?>
<mdoxml version="1.0"><br></br>
Experiment with the interactivity, or make your own version using
card (see instructions in the <a href="http://nrich.maths.org/public/viewer.php?obj_id=5656&part=note">
Notes</a> ).<br></br>
Can you imagine what each thing looks like before you try to make
it?<br></br>
You might want to find a book, or look at a door handle, for
example. <br></br></mdoxml>
<?xml version="1.0" encoding="UTF-8"?>
<mdoxml version="1.0">This investigation allows children to experiment with turning -
they would not need any prior experience to have a go at these
activities. You might want to encourage children to visualise the
different things described. You could also suggest they actually
find the articles and do what is described to help them. Encourage
the pupils to talk to each other as they try out their ideas. To
make a version of this interactivity which does not require
technology, we just need two differently-coloured discs of thick
paper or card. A slit is cut into each from the edge to the centre
in a straight line. The two slots are then allowed to overlap each
other and turning links the two together.<br></br></mdoxml>
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3
1
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0
0
0
Turning
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
Using, Applying and Reasoning about Mathematics
Investigations
2D Geometry, Shape and Space
Angles
Information and Communications Technology
Interactivities
Admin
Lower primary mapping document