1048 /www/nrich/html/content/01/03/penta5/ 1 2011-02-01T00:00:01 <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><br></br><p><mdo:image alt="tangle" src="tangle.gif"></mdo:image></p> <p>The large rectangle above is divided into a series of smaller quadrilaterals and triangles. Each of the shapes is a fractional part of the large rectangle.</p> <p>Can you untangle what fractional part is represented by each of the ten numbered shapes?</p><br></br></mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><br></br> <br></br></mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><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=1048&amp;part=">This activity</a> gives the pupils opportunities to use and develop their visualising skills in conjunction with the knowledge of fractions. It&#39;s quite a contrast to just dealing with fractions numerically.</div> <br></br> <h3>Possible approach</h3> <div>The pupils will most likely need to have had some previous experience of the shapes involved. Then the pupils can be presented with the picture or for some pupils it may be better to use the picture superimposed onto squared paper.</div> <div style="text-align: center;"><mdo:image alt="on squares" height="210" src="1048%20on%20squares.jpg" width="412"></mdo:image></div> <br></br> <h3>Key questions</h3> <div>What shapes have you found?</div> <div>How big is this shape?</div> <div>Which is the biggest/smallest shape?</div> <div>Tell me how you found this out?</div> <br></br> <h3>Possible extension</h3> <div>Encourage the pupils who have well with the challenge to create their own problems for others to solve.</div> <br></br> <h3>Possible support</h3> <div>The should probably be plenty of resources available for many children while with others you would want them to ask for particular resources to help them. [Placing resources infront of same pupils seems to tell them that they should be using them, when you really want them to use their own ideas.]</div> <br></br> <br></br></mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><br></br> <div style="text-align: left;">Drawing the shapes on squared paper enables you to see the number of squares in each shape (Red) and so the fraction of the whole.</div> <div style="text-align: left;"></div> <div style="text-align: center;"></div> <br></br> <div style="text-align: center;"><mdo:image width="496" height="322" alt="sol2" src="Solution2%201048.jpg"></mdo:image></div> <div style="text-align: center;"></div> <br></br> <br></br> <br></br></mdoxml> 2 3 0 1 0 0 0 The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes? 2D Geometry, Shape and Space Quadrilaterals Fractions, Decimals, Percentages, Ratio and Proportion Fractions 2D Geometry, Shape and Space Mixed triangles