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/www/nrich/html/content/00/12/game1/
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2011-02-01T00:00:01
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<mdoxml version="1.0"><br></br>
This is a problem all about frogs.<br></br>
Imagine two red frogs and two blue frogs sitting on lily pads, with a spare lily pad in between them.<br></br>
Frogs can slide onto adjacent lily pads or jump over a frog; frogs can't jump over more than one frog.<br></br>
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<strong>Can we swap the red frogs with the blue frogs?</strong><br></br>
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Experiment with different numbers of red and blue frogs.<br></br>
Can you always swap the frogs over without having to move any frogs backwards?<br></br>
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Can you swap the frogs over when the number of red and blue frogs is not the same?<br></br>
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<p><a href="/content/00/12/game1/frogs.swf">Full Screen Version</a></p>
<mdo:flash height="400" id="/content/00/12/game1/frogs.swf" width="500"><param name="allowfullscreen" value="true"></param><param name="allowfullscreen" value="true"></param>
<param name="movie" value="/content/00/12/game1/frogs.swf"></param>
<param name="flashplayerversion" value="7"></param>
</mdo:flash>
<p> </p>
<p> </p>
<p>To move a frog or a toad, just click on it. There's no need to click and drag to the space into which you want to move (why?). If the piece cannot move, then nothing will happen. If it can, then it moves into the empty space. In this version of the game, the toads cannot move to the left, and the frogs cannot move to the right, so think carefully before you move.</p>
<p>When you have solved the problem (or when you are stuck), you can click "Play Again!" to start the game over. After mastering 3 frogs and 3 toads, try changing the numbers before you select "Play Again". Any numbers for the frogs and toads will work provided that there is at least one frog and one toad, but not more than twenty total critters at a time.</p>
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Frogs
You can solve frogs on the computer, using counters, or acting it out. Start with frogs in a line on one side, and toads on the other, with a space in between. They need to change places.
Using, Applying and Reasoning about Mathematics
Games
Using, Applying and Reasoning about Mathematics
Generalising
Using, Applying and Reasoning about Mathematics
Visualising
ajk44
Alison's dev tag