tag:blogger.com,1999:blog-30044586279037902162024-03-13T20:54:19.651-07:00GCSE and A-Level MathsAimed at supporting students taking GCSE by AQA and Edexcel and GCE AQARon Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.comBlogger24125tag:blogger.com,1999:blog-3004458627903790216.post-40611393031396383852009-12-18T01:25:00.000-08:002009-12-18T02:29:42.503-08:00Trigonometry: Cosine RuleA good <a href="http://www.waldomaths.com/CosRule1NL.jsp">animated example</a><br /><br /><object width="480" height="385"><param name="movie" value="http://www.youtube.com/v/d_oQUy-MSCg&hl=en_GB&fs=1&"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><embed src="http://www.youtube.com/v/d_oQUy-MSCg&hl=en_GB&fs=1&" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="480" height="385"></embed></object><br /><br />You need to be familiar with how to find a side and how to find an angle using the cosine rule<br /><br />1. <strong>When all three sides of a triangle are known or can be calculated</strong>. In this situation, the Cosine Rule can be used to find any and all of the three angles<br /><br />2. <strong>When two sides are known, and the included angle is either known or can be calculated (e.g. using the other two angles).</strong> In such a situation, the length of the third side can be calculated, and so can the other angles.<br /><br />3. If two sides and an angle besides the included angle is known, the Cosine Rule can still be used, but the Sine Rule is easier to use.<br /><br /><a href="http://www.bbc.co.uk/scotland/learning/bitesize/standard/maths_ii/trigonometry/sin_cosine_area_triangle_rev1.shtml">Bitesize Revision</a>Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0tag:blogger.com,1999:blog-3004458627903790216.post-14561900831443795992009-12-17T01:45:00.000-08:002009-12-18T01:25:26.246-08:00Trigonometry: Sine Rule<p>Can be used in triangles without right angles when given</p><table border="1" cellspacing="0" cellpadding="2" width="400"><tbody><tr><td valign="top" width="400">Two sides and an angle opposite to one of the sides</td></tr><tr><td valign="top" width="400">One side and any two angles</td></tr><tr><td valign="top" width="400"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnx25TJ2FJNWzzmhwco2iO-jZg7CzPAxIXJ_ov-Ey2d1Kludgry6_AqJQL6fJf-P3yTqT9cqpGQkWt7GeGz0-Vhwi6DQabRA-x_DQ4V6AjE58wJfHxBub0NGuJIzDkpkzZ2zKaFTWnqGE/s1600-h/sine.JPG"><img style="MARGIN: 0px 10px 10px 0px; WIDTH: 400px; FLOAT: left; HEIGHT: 197px; CURSOR: hand" id="BLOGGER_PHOTO_ID_5416139291796896866" border="0" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnx25TJ2FJNWzzmhwco2iO-jZg7CzPAxIXJ_ov-Ey2d1Kludgry6_AqJQL6fJf-P3yTqT9cqpGQkWt7GeGz0-Vhwi6DQabRA-x_DQ4V6AjE58wJfHxBub0NGuJIzDkpkzZ2zKaFTWnqGE/s400/sine.JPG" /></a></td></tr></tbody></table><p> </p><p><a href="http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/furthertrigonometryhirev1.shtml">Bitesize</a></p><br />This video lasts 10 minutes but goes through examples<br /><object width="480" height="385"><param name="movie" value="http://www.youtube.com/v/TfhcGQbzlD8&hl=en_GB&fs=1&"></param><param name="allowFullScreen" value="true"></param><param name="allowscriptaccess" value="always"></param><embed src="http://www.youtube.com/v/TfhcGQbzlD8&hl=en_GB&fs=1&" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="480" height="385"></embed></object>Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com1tag:blogger.com,1999:blog-3004458627903790216.post-6333212026119855692009-12-17T01:27:00.000-08:002009-12-17T11:25:57.176-08:00Statistics: Histograms<p>Histograms are a favourite GCSE topic, you need to know <br /></p> <ul> <li>what grouped data is</li> <li>how to calculate the <strong>frequency density</strong></li> </ul> <p> <br />The frequency on a Histogram is shown by <strong>the area</strong> in the box (frequency density x class width) <br />The class width is often unequal</p> <p>Histograms are most often used with grouped data</p> <p>In the diagram below</p> <ul> <li>there are 20 people aged between 60 and 100</li> <li>there are 42 people aged between 40 and 60 <br /> <br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEgKj_hj7FE1L1Jjd1MCeZICrDZLto0PZWgxHOulAAEKSJ0WglDCirSxkrQF0i3GmGCZM7CmHYyIuhDgUAOSTOJPHekxrvLvdPa0ur1l5vQmE1xbGC8QHQdL5O6Co__GhwLG-wuRCGQ2w/s1600-h/hist.gif"><img style="margin: 0px 10px 10px 0px; width: 388px; float: left; height: 216px; cursor: hand" id="BLOGGER_PHOTO_ID_5416136899672550514" border="0" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEgKj_hj7FE1L1Jjd1MCeZICrDZLto0PZWgxHOulAAEKSJ0WglDCirSxkrQF0i3GmGCZM7CmHYyIuhDgUAOSTOJPHekxrvLvdPa0ur1l5vQmE1xbGC8QHQdL5O6Co__GhwLG-wuRCGQ2w/s400/hist.gif" /></a> <br /></li> </ul> <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj9tR1nh5F583-lC_Knoemfh8j66s4EJY0DWYapT-Yku5jIi0KIlN9HIm_EJm7KIQj-qNtQD73Em9XR5XSOEVYozt_SfFMryqoqfro7lFh1-YbtE7iMEpwZPn9M4CiI0Za9H6rFhfKFQ78/s1600-h/hist.gif"></a> Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0tag:blogger.com,1999:blog-3004458627903790216.post-46017725181211433922009-12-17T01:21:00.000-08:002009-12-17T05:26:13.243-08:00Statistics: Moving AveragesA pdf file with <a href="http://www.purecoder.net/gcse/Topic%20sheet%20-%20Moving%20averages.pdf">worked examples of GCSE questions </a>- useful when you revise<br /><a href="http://www.bbc.co.uk/schools/gcsebitesize/maths/data/representingdata3hirev7.shtml">Bitesize</a> gives a simple example and a graph to show why we do them<br /><br /><object width="480" height="385"><param name="movie" value="http://www.youtube.com/v/N1MvaWe0l-A&hl=en_GB&fs=1&"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><embed src="http://www.youtube.com/v/N1MvaWe0l-A&hl=en_GB&fs=1&" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="480" height="385"></embed></object>Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0tag:blogger.com,1999:blog-3004458627903790216.post-74807358297560661572009-12-16T02:01:00.000-08:002009-12-17T11:27:17.095-08:00Algebra: SurdsSurds are numbers left in 'square root form' (or 'cube root form' etc). They are therefore irrational numbers. The reason we leave them as surds is because in decimal form they would go on forever and so this is a very clumsy way of writing them. (See <a href="http://www.mathsrevision.net/gcse/surds.php">here </a>for notes and examples ) <br /> <br /><strong>Skills needed to answer GCSE questions</strong> <br /> <li>Using Surds in calculations</li> <li>Simplifing Surds</li> <li>Rationalise Surds (which needs you to remember the difference of 2 squares) <br /> <br /> <p><strong>Helpful resources, examples and links</strong></p> <table border="1" cellspacing="0" cellpadding="2" width="601"><tbody> <tr> <td valign="top" width="163"> </td> <td valign="top" width="436"> <p><a href="http://www.bbc.co.uk/schools/gcsebitesize/maths/number/surdsrev1.shtml">BBC Bitesize </a>is always good</p> <p><a href="http://www.gcsemathstutor.com/surds.php">GCSE Maths tutor </a>- technical but some worksheets and videos</p> </td> </tr> <tr> <td valign="top" width="158">Some people fing watching a YouTube video can help, but be aware that they use real Maths teachers</td> <td valign="top" width="441"><object width="425" height="344"><param name="movie" value="http://www.youtube.com/v/mRS8QCBWiOI&hl=en_GB&fs=1&"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><br /><br /><embed src="http://www.youtube.com/v/mRS8QCBWiOI&hl=en_GB&fs=1&" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="425" height="344"></embed></object></td> </tr> <tr> <td valign="top" width="155">MyMaths <a href="http://www.mymaths.co.uk/tasks/library/loadLesson.asp?title=surds/surds">Surds1</a> goes through the topics in a gentle way.</td> <td valign="top" width="444"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjNhQ8BCbBdRvr1rgQ0csRsq-92TZaqzYox4r9YlFEjkjLyq1XUyAC1eu2axv5z2Vo7TpRxxCpHfwWChxUENWFB5-2KaUHdJgNsBvNCfqZsunnzKe-6ZdN7OfCA5GZC9iNQxiz5wwBiYYk/s1600-h/surd1.JPG"><img style="margin: 0px 10px 10px 0px; width: 300px; float: left; height: 158px; cursor: hand" id="BLOGGER_PHOTO_ID_5415384502207250546" border="0" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjNhQ8BCbBdRvr1rgQ0csRsq-92TZaqzYox4r9YlFEjkjLyq1XUyAC1eu2axv5z2Vo7TpRxxCpHfwWChxUENWFB5-2KaUHdJgNsBvNCfqZsunnzKe-6ZdN7OfCA5GZC9iNQxiz5wwBiYYk/s400/surd1.JPG" /></a></td> </tr> <tr> <td valign="top" width="153"><a href="http://www.mymaths.co.uk/tasks/library/loadLesson.asp?title=surds/surdsPart2">Surds2</a> - a little harder</td> <td valign="top" width="447"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg06Hi5m3XJM8bt1q6xmWdemcLfaEU1FRSdCcxp1TaaBJRrvfgOQUD5y7d5QPvhRiw2lY00dtXdbmLIF_XFEUyx76DwQChD-rV49K-5tlbUEzYDL3vKjmoOpky6v8uoO065ATl-dj1vck4/s1600-h/surds2.JPG"><img style="margin: 0px 10px 10px 0px; width: 301px; float: left; height: 160px; cursor: hand" id="BLOGGER_PHOTO_ID_5415384504536116130" border="0" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg06Hi5m3XJM8bt1q6xmWdemcLfaEU1FRSdCcxp1TaaBJRrvfgOQUD5y7d5QPvhRiw2lY00dtXdbmLIF_XFEUyx76DwQChD-rV49K-5tlbUEzYDL3vKjmoOpky6v8uoO065ATl-dj1vck4/s400/surds2.JPG" /></a></td> </tr> </tbody></table> <p></p> </li> Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0tag:blogger.com,1999:blog-3004458627903790216.post-41042558210343081032009-12-14T23:59:00.000-08:002009-12-15T23:19:02.665-08:00Revision Guides - Higher Edexcel<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwsGNvWHI8h1Box5vx22c3o7O2B_ECWhK5SKLBJ9tHx51nzcR8AaVSVEfOKe9hNqtSpFcaQtyIxC2Esuvztj9iLNGfrQ9YAFKdNuMAcfKIwaabiRDxp4n-9NGNnSPaydNHT8yrkvq-FFg/s1600-h/high.jpg"></a> <div>I think the following at around £3.50 each are well worth the money.</div> <div> </div> <table border="1" cellspacing="0" cellpadding="2" width="400"><tbody> <tr> <td valign="top" width="200"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj593nC41HiO2oCE5zCzVpOrvtzkM-WEvkMYyRx68KZ7aW4v0lWTvJVkvHANOrj9EzaUez2wO_s1xpWPlD1EyKQm2IWUP21rZGcvXDAyKC2JxceXiZYv104zRGMwOjoeqVoYKv0c1FnFDU/s1600-h/high.jpg"><img style="margin: 0px 10px 10px 0px; width: 135px; float: left; height: 127px; cursor: hand" id="BLOGGER_PHOTO_ID_5415374366365368178" border="0" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj593nC41HiO2oCE5zCzVpOrvtzkM-WEvkMYyRx68KZ7aW4v0lWTvJVkvHANOrj9EzaUez2wO_s1xpWPlD1EyKQm2IWUP21rZGcvXDAyKC2JxceXiZYv104zRGMwOjoeqVoYKv0c1FnFDU/s200/high.jpg" /></a> <br /></td> <td valign="top" width="200"><a href="http://www.amazon.co.uk/gp/product/1843159775?ie=UTF8&tag=travthroalife-21&linkCode=as2&camp=1634&creative=19450&creativeASIN=1843159775">GCSE Success Edexcel Maths Higher Revision Guide</a><img style="border-bottom: medium none; border-left: medium none; margin: 0px; border-top: medium none; border-right: medium none" border="0" alt="" src="http://www.assoc-amazon.co.uk/e/ir?t=travthroalife-21&l=as2&o=2&a=1843159775" width="1" height="1" /> <br />This book puts all the notes you need in one place with limited examples. All of the Specification is set out.</td> </tr> <tr> <td valign="top" width="200"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiOtC0M-1HLSnsm5dz4kTP6kCFfexo4zHMXnnpxHLR-rrX3auZ9NkNT0HaeOWYYfQqdqllVm1YRtaTdejE12RpwI56cZHxd34aLc5xGP89ab3aRa4D44OKZEWMYehc0PHeXa3xj6Vexpcs/s1600-h/high.jpg"><img style="margin: 0px 10px 10px 0px; width: 136px; float: left; height: 131px; cursor: hand" id="BLOGGER_PHOTO_ID_5415373258207569218" border="0" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiOtC0M-1HLSnsm5dz4kTP6kCFfexo4zHMXnnpxHLR-rrX3auZ9NkNT0HaeOWYYfQqdqllVm1YRtaTdejE12RpwI56cZHxd34aLc5xGP89ab3aRa4D44OKZEWMYehc0PHeXa3xj6Vexpcs/s200/high.jpg" /></a></td> <td valign="top" width="200"><a href="http://www.amazon.co.uk/gp/product/1843159791?ie=UTF8&tag=travthroalife-21&linkCode=as2&camp=1634&creative=19450&creativeASIN=1843159791">GCSE Success Edexcel Maths Higher Workbook (GCSE Success Revision Guides and Workbooks)</a><img style="border-bottom: medium none; border-left: medium none; margin: 0px; border-top: medium none; border-right: medium none" border="0" alt="" src="http://www.assoc-amazon.co.uk/e/ir?t=travthroalife-21&l=as2&o=2&a=1843159791" width="1" height="1" /> <br />This gives lots of examples with answers to reinforce your ideas. <br /></td> </tr> <tr> <td valign="top" width="200"> </td> <td valign="top" width="200"> </td> </tr> <tr> <td valign="top" width="200"> <div>There are lots of sites that give you help (videos, worked examples, etc). This one is the BBC Bitesize – Statistics Site </div> </td> <td valign="top" width="200"> </td> </tr> </tbody></table> <div> <br /> <br /> <br /> <p></p> <p></p> <p></p> <p></p> <p></p> </div> Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0tag:blogger.com,1999:blog-3004458627903790216.post-35211348801184061142009-11-17T13:12:00.000-08:002009-12-17T05:26:53.170-08:00Number: Recurring Decimals to Decimals<object width="660" height="405"><param name="movie" value="http://www.youtube.com/v/Iihfn94xrSA&hl=en_US&fs=1&color1=0x2b405b&color2=0x6b8ab6&border=1"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><embed src="http://www.youtube.com/v/Iihfn94xrSA&hl=en_US&fs=1&color1=0x2b405b&color2=0x6b8ab6&border=1" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="660" height="405"></embed></object><br /><br /><object width="660" height="405"><param name="movie" value="http://www.youtube.com/v/2C-zr0-hVOU&hl=en_US&fs=1&color1=0x2b405b&color2=0x6b8ab6&border=1"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><embed src="http://www.youtube.com/v/2C-zr0-hVOU&hl=en_US&fs=1&color1=0x2b405b&color2=0x6b8ab6&border=1" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="660" height="405"></embed></object>Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com1tag:blogger.com,1999:blog-3004458627903790216.post-22152381534723590092009-09-06T05:45:00.001-07:002009-12-17T05:29:53.232-08:00Statistics: Probability 1<p><br />Read and work out missing information from a two-way table<br />Design-two way tables and complete using data from a graph<br />Review the term Probability<br />Understand the term relative probability<br />Number of trials and reliability<br />Calculating the probability of an event using relative frequency<br /></p><p>Sample size must be large enough to be reliable (or representative)<br />Using Relative frequency to estimate the results of an experiment and judge if fair or biased<br />Consolidate by looking at Chapter Review (Q 7, 8, 9 if time permits)<br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgy6uJ2IPwjNpf87r5RHoS_5a4NyN1boQEPCO_KrtFN9k3eJ-95grr-dpoCEmF4YY4shMenHoH4A9zH0NgPUAAyD-n4imQSnKDXdhidWabmsG6eVlNroMzcu_k4bcs6YTJLaz2e8ogUPjo/s1600-h/exp.gif"><img style="MARGIN: 0pt 10px 10px 0pt; WIDTH: 400px; FLOAT: left; HEIGHT: 384px; CURSOR: pointer" id="BLOGGER_PHOTO_ID_5378366090992160146" border="0" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgy6uJ2IPwjNpf87r5RHoS_5a4NyN1boQEPCO_KrtFN9k3eJ-95grr-dpoCEmF4YY4shMenHoH4A9zH0NgPUAAyD-n4imQSnKDXdhidWabmsG6eVlNroMzcu_k4bcs6YTJLaz2e8ogUPjo/s400/exp.gif" /></a><br /></p><strong><h5 align="center"><br /></h5><h5 align="center"><br /></h5><h5 align="center"><br /></h5><h5 align="center"><br /></h5><h5 align="center"><br /></h5><h5 align="center"><br /></h5><h5 align="center"><br /></h5><h5 align="center"><br /></h5><h5 align="center"><br /></h5><h5 align="center"><br /></h5>Plenary<br /></strong><ul><li><a href="http://www.bbc.co.uk/skillswise/numbers/handlingdata/probability/game.shtml"><strong><span style="FONT-WEIGHT: normal">Skillswise</span></strong></a></li></ul><strong><br /><h5 align="center">USEFUL LINKS</h5></strong><br /><br /><object width="560" height="340"><param name="movie" value="http://www.youtube.com/v/WQNtfzj2VrU&hl=en&fs=1&"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><embed src="http://www.youtube.com/v/WQNtfzj2VrU&hl=en&fs=1&" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" height="340" width="560"></embed></object><br /><br /><object width="425" height="344"><param name="movie" value="http://www.youtube.com/v/Rfj9ie7xws0&hl=en&fs=1&"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><embed src="http://www.youtube.com/v/Rfj9ie7xws0&hl=en&fs=1&" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" height="344" width="425"></embed></object>Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0tag:blogger.com,1999:blog-3004458627903790216.post-31085784499131395492009-09-05T05:44:00.002-07:002009-12-17T05:44:18.059-08:00Statistics – Handling Data<table border="0" cellspacing="0" cellpadding="2" width="400"><tbody><tr><td valign="top" width="400"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJ86u1lpZFCHNi0Ej06PU79KzQ_nhf5capA21KIx8Xi3qNaEexML1Bwax9ywol7njAYJCHexpA0R9tNFR0Bk9UiBWce-tLiuD3CP1mi9aZ9QtaRRKBzThZva-iPmNmYBjYJnA-AkZ7-dg/s1600-h/spec.gif"><img style="MARGIN: 0pt 0px 10px; WIDTH: 364px; DISPLAY: inline; HEIGHT: 400px; CURSOR: pointer" id="BLOGGER_PHOTO_ID_5377967334770197682" border="0" alt="" align="left" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJ86u1lpZFCHNi0Ej06PU79KzQ_nhf5capA21KIx8Xi3qNaEexML1Bwax9ywol7njAYJCHexpA0R9tNFR0Bk9UiBWce-tLiuD3CP1mi9aZ9QtaRRKBzThZva-iPmNmYBjYJnA-AkZ7-dg/s400/spec.gif" /></a></td></tr><tr><td valign="top" width="400"><a href="http://web.aqa.org.uk/qual/newgcses/maths_ict/current/maths_b_materials.php?id=01&prev=01">This</a> is the AQA Website for this Maths GCSE</td></tr><tr><td valign="top" width="400"><span style="color:#ff0000;">Module 1</span> (worth 18% of the GCSE) looks at data and includes topics such as <span style="color:#ff0000;">averages </span>(should I use the same average for shoe sizes as for the average price of beer), <span style="color:#ff0000;">probability </span>(how likely are you to contract ‘swine flu?) and <span style="color:#ff0000;">correlation</span> (is it true that ‘the less alcohol and fatty foods, the longer the life’?).</td></tr><tr><td valign="top" width="400">This is the text book used across the college – you will need to have this to follow the course (about £18)<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbqbX_AT2qugdpamxok9Hz0P6-SjMuLpU4cr-65zjH1fX5Sc3ZAddMVnUTZ8pBlHUcSYghtyWSu9VUxQu4QtcoTQHqAwhD3LQVu3Ihe_xLVFp4tcm7QqbgqcQxVDBLsGBOfUFW-xff4cU/s1600-h/aqa.jpg"><br /><img style="MARGIN: 0pt 10px 10px 0pt; WIDTH: 127px; FLOAT: left; HEIGHT: 127px; CURSOR: pointer" id="BLOGGER_PHOTO_ID_5378303537919911970" border="0" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjbqbX_AT2qugdpamxok9Hz0P6-SjMuLpU4cr-65zjH1fX5Sc3ZAddMVnUTZ8pBlHUcSYghtyWSu9VUxQu4QtcoTQHqAwhD3LQVu3Ihe_xLVFp4tcm7QqbgqcQxVDBLsGBOfUFW-xff4cU/s320/aqa.jpg" /></a><a href="http://www.amazon.co.uk/gp/product/1405818557?ie=UTF8&tag=travthroalife-21&linkCode=as2&camp=1634&creative=19450&creativeASIN=1405818557">AQA GCSE Maths: Modular Higher Student Book and ActiveBook</a><img style="BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; MARGIN: 0px; BORDER-TOP: medium none; BORDER-RIGHT: medium none" border="0" alt="" src="http://www.assoc-amazon.co.uk/e/ir?t=travthroalife-21&l=as2&o=2&a=1405818557" width="1" height="1" /><br /><br /><br /></td></tr><tr><td valign="top" width="400">With private tuition students I find the following successful (£3.50 each)<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLbvLMHh85G7hkkpgOeq5FQKL_5h686zp0nmYKP8_bT7lXVFNaV1lW3ipRsxx6zCaia7LqRcSjZ9FF7vV66rGiphWI_e5D1uyEbF277Mw0GH1EVEFvhMQFpUC9gBGkjNM_fgXCdu9iXUk/s1600-h/succ.jpg"><img style="MARGIN: 0pt 10px 10px 0pt; WIDTH: 87px; FLOAT: left; HEIGHT: 87px; CURSOR: pointer" id="BLOGGER_PHOTO_ID_5378304668710101234" border="0" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLbvLMHh85G7hkkpgOeq5FQKL_5h686zp0nmYKP8_bT7lXVFNaV1lW3ipRsxx6zCaia7LqRcSjZ9FF7vV66rGiphWI_e5D1uyEbF277Mw0GH1EVEFvhMQFpUC9gBGkjNM_fgXCdu9iXUk/s320/succ.jpg" /></a>This one puts everything in place<br /><a href="http://www.amazon.co.uk/gp/product/1843156393?ie=UTF8&tag=travthroalife-21&linkCode=as2&camp=1634&creative=19450&creativeASIN=1843156393">GCSE Success AQA Maths Higher Revision Guide (GCSE Success Revision Guides and Workbooks)</a><img style="BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; MARGIN: 0px; BORDER-TOP: medium none; BORDER-RIGHT: medium none" border="0" alt="" src="http://www.assoc-amazon.co.uk/e/ir?t=travthroalife-21&l=as2&o=2&a=1843156393" width="1" height="1" /><br /></td></tr><tr><td valign="top" width="400"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgBGDE7Mt6Vo55H4SMdXBAsU2i2fEuqoFebVhY-xD7udV0FwGfgDnXB7zW2Qmn85DxlRJ1VLMNXEDvO91tXc1_X30EzfQ6GbrIApRbmwflIk4NKgP44vgFQTl-3m5FZZBlr3ya8-NUNlLY/s1600-h/work.jpg"><img style="MARGIN: 0pt 10px 10px 0pt; WIDTH: 86px; FLOAT: left; HEIGHT: 86px; CURSOR: pointer" id="BLOGGER_PHOTO_ID_5378304832726467522" border="0" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgBGDE7Mt6Vo55H4SMdXBAsU2i2fEuqoFebVhY-xD7udV0FwGfgDnXB7zW2Qmn85DxlRJ1VLMNXEDvO91tXc1_X30EzfQ6GbrIApRbmwflIk4NKgP44vgFQTl-3m5FZZBlr3ya8-NUNlLY/s320/work.jpg" /></a><a href="http://www.amazon.co.uk/gp/product/1843156598?ie=UTF8&tag=travthroalife-21&linkCode=as2&camp=1634&creative=19450&creativeASIN=1843156598">Maths Higher Workbook (GCSE Success Workbooks)</a><img style="BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; MARGIN: 0px; BORDER-TOP: medium none; BORDER-RIGHT: medium none" border="0" alt="" src="http://www.assoc-amazon.co.uk/e/ir?t=travthroalife-21&l=as2&o=2&a=1843156598" width="1" height="1" /><br />This one gives examples of each to help you understand.</td></tr><tr><td valign="top" width="400">There are lots of sites that give you help (videos, worked examples, etc). This one is the BBC Bitesize – Statistics Site<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://www.bbc.co.uk/schools/gcsebitesize/maths/data/"><img style="WIDTH: 200px; DISPLAY: block; FLOAT: none; HEIGHT: 40px; MARGIN-LEFT: auto; CURSOR: pointer; MARGIN-RIGHT: auto" id="BLOGGER_PHOTO_ID_5377971126909719746" border="0" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiibqpbAhpOh2ShRiTvl_kle8RI_HOYqJouv1RgefWDh6JNPBZ9AW53SUuylwLnagZwt2v4jwovhyTExGjatLyBxEC9NFdh7svXzSvfnLvrLjV7Hhn9u4YYpph4bNNATo80q-U03wxAq40/s400/bite.gif" /></a></td></tr></tbody></table>Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0tag:blogger.com,1999:blog-3004458627903790216.post-46376536618523849202009-05-19T02:38:00.000-07:002009-12-17T05:44:56.647-08:00Revision: Foundation1 Go through <span style="COLOR: rgb(255,0,0)">2 past Papers</span><br /><br />2. <span style="COLOR: rgb(255,0,0)">Graphs</span><br /><span style="COLOR: rgb(255,0,0)">Quadratic Graphs</span> - be able to write down co-ordinates<br />Identify maximum, minimum points and lines of symmetry<br />Identify graphs p.238-237 q2, q4, q8<br />Use a graph to find solutions p.241 q2, 4<br /><object width="480" height="385"><param name="movie" value="http://www.youtube.com/v/dp0B4zyk-Fw&hl=en&fs=1&color1=0x3a3a3a&color2=0x999999"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><embed src="http://www.youtube.com/v/dp0B4zyk-Fw&hl=en&fs=1&color1=0x3a3a3a&color2=0x999999" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="480" height="385"></embed></object><br /><br /><br />3. <span style="COLOR: rgb(255,0,0)">Using a formula </span>p337 q1, 4, 5<br /><span style="COLOR: rgb(255,0,0)">Changing the subject of a formula</span> p347 q4,5<br /><br />4 <span style="COLOR: rgb(255,0,0)">Angles in shapes</span><br />acute, obtuse, reflex<br />equilateral, isosceles, scalene<br />constructing triangles<br />p550 q2<br /><br />5 <span style="COLOR: rgb(255,0,0)">Algebra</span><br />Simplifying Terms (Expanding brackets) p197 q7, p199 q3<br />FOIL p.262 Q1 and 2<br />Factorise p259 q1<br /><br />6 <span style="COLOR: rgb(255,0,0)">Sequences </span><br />term to term rule p.433 1 and 2<br />patterns of shapes p440 q5,6<br /><br />7 <span style="COLOR: rgb(255,0,0)">Constructions </span><br /><a href="http://www.youtube.com/watch?v=AEl3BE85jxY">Perpendicular Bisector of a line</a> p.460<br />Angle Bisector p.462<br />Locus of points p.464<br />p.466 q1, p.467 q3<br /><object width="480" height="385"><param name="movie" value="http://www.youtube.com/v/ug3TasAxvOk&hl=en&fs=1&color1=0x3a3a3a&color2=0x999999"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><embed src="http://www.youtube.com/v/ug3TasAxvOk&hl=en&fs=1&color1=0x3a3a3a&color2=0x999999" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="480" height="385"></embed></object><br /><br /><object width="480" height="385"><param name="movie" value="http://www.youtube.com/v/1GpHPAVnb4M&hl=en&fs=1&color1=0x3a3a3a&color2=0x999999"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><embed src="http://www.youtube.com/v/1GpHPAVnb4M&hl=en&fs=1&color1=0x3a3a3a&color2=0x999999" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="480" height="385"></embed></object>Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0tag:blogger.com,1999:blog-3004458627903790216.post-33447410455272493262009-05-19T02:25:00.001-07:002009-12-17T05:45:38.418-08:00Revision: Higher1. Go through <span style="COLOR: rgb(255,0,0)">2 past Papers</span><br /><br />2. <span style="COLOR: rgb(255,0,0)">Prove that triangles are Congruent</span> P520, P521 Q1<br />SAS<br />SSS<br />ASA or AAS<br />RHS<br /><object width="640" height="385"><param name="movie" value="http://www.youtube.com/v/oYtoCiXL8Co&hl=en&fs=1&color1=0x3a3a3a&color2=0x999999"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><embed src="http://www.youtube.com/v/oYtoCiXL8Co&hl=en&fs=1&color1=0x3a3a3a&color2=0x999999" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="640" height="385"></embed></object><br /><br />3. <span style="COLOR: rgb(255,0,0)">Calculate equations of a line through a point and perpendicular to a given line</span><br />P514 questions 4 to 8<br />P515 questions 2 to 8<br /><object width="480" height="385"><param name="movie" value="http://www.youtube.com/v/7adbdSHdFP8&hl=en&fs=1&color1=0x3a3a3a&color2=0x999999"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><embed src="http://www.youtube.com/v/7adbdSHdFP8&hl=en&fs=1&color1=0x3a3a3a&color2=0x999999" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="480" height="385"></embed></object><br /><br />4. <span style="COLOR: rgb(255,0,0)">Use Sine and Cosine Rule</span> P661, 662 q2<br />Area 1/2absinC P664 Q2<br />Cosine Rule P665 Q2 (see P667)<br /><object width="640" height="385"><param name="movie" value="http://www.youtube.com/v/4g8MxiJPnpQ&hl=en&fs=1&color1=0x3a3a3a&color2=0x999999"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><embed src="http://www.youtube.com/v/4g8MxiJPnpQ&hl=en&fs=1&color1=0x3a3a3a&color2=0x999999" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="640" height="385"></embed></object><br /><br />5. Graphs - I don't have time to teach!<br /><span style="COLOR: rgb(255,0,0)"><br />Recognise non-linear graphs</span><br />quadratics, reciprocal, cubic, sine, cosine<br />p576 3,5,7<br />p580 8,9,11<br /><object width="640" height="385"><param name="movie" value="http://www.youtube.com/v/pyPBJoAgD2M&hl=en&fs=1&color1=0x3a3a3a&color2=0x999999"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><embed src="http://www.youtube.com/v/pyPBJoAgD2M&hl=en&fs=1&color1=0x3a3a3a&color2=0x999999" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="640" height="385"></embed></object><br /><br /><span style="FONT-WEIGHT: bold;font-size:130%;" ><span style="COLOR: rgb(255,0,0)">Transforming functions</span></span><br />recognise functional notation<br /><br /><object width="640" height="385"><param name="movie" value="http://www.youtube.com/v/EQMNawz4Z0E&hl=en&fs=1&color1=0x3a3a3a&color2=0x999999"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><embed src="http://www.youtube.com/v/EQMNawz4Z0E&hl=en&fs=1&color1=0x3a3a3a&color2=0x999999" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="640" height="385"></embed></object><br /><span style="COLOR: rgb(255,0,0)">TRANSLATIONS</span> P 589<br />y = f(x) + a<br />y = f(x+a)<br /><br /><span style="COLOR: rgb(255,0,0)">STRETCH </span><br />y=af(x)<br />y = f(ax)<br />ExB p594 questions 1 to 5, ExB p599 questions 1 to 3Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com3tag:blogger.com,1999:blog-3004458627903790216.post-78696847778026559372009-05-12T02:20:00.000-07:002009-12-17T05:47:43.765-08:00Revision - Higher Tier1.Vector Geometry<br />P679 1 and 3 , P681 Do yourself Chapter Review 1 to 10<br />2.Simultaneous Equations P540 Q2<br />3.Algebraic Fractions P.305 (Covers factorising as well!) ***<br />4.Graphs/Gradients p500 Q5, perpendicular gradient p506, Q1, 6, 7<br />5.Equalities/Inequalities p387, p392 q7, p395 Q9,10<br />6.Sequences Chapter 28 p.433 q2, p439 q4<br />7.Graphs of cubic etc. Chapter 37, 40 (Probably paper 2)<br />8.Transforming Graphs Chapters 40/41<br />9. Chapter 23 //lines, rhombus, //gram p.316 exb, polygons p.324 q6 &7, Pythagoras p.329 q9<br />10. Indices p.333, writing formulas p.343<br />11 Changing subject of a formula p.345, 352 q.5<br />12. Chapter 25 perimeter and area //gram, triangle, circle, composite<br />13 Volume of Prism p.429 q6 to 10<br />14 Chapter 30 Constructions<br />15 congruent, similar p527<br />16 chapter 35 paper 2 SOHCAHTOA, 3D<br />17 Arc length, Are sector, dimensions p568<br />18 circle theorems ch39 p.635 ALTERNATE SEGMENT THEOREM<br />19 Quadratic equations p.640 q1 to 4, p643 q3 to 8, COMPLETE THE SQUARE p.646 all<br />20 sine rule, cosine rule ch41<br />21 Chapter 42 Vectors<br />22. Past Papers (see November 2008)Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0tag:blogger.com,1999:blog-3004458627903790216.post-38491256741704373272009-05-11T08:01:00.000-07:002009-12-17T05:49:06.958-08:00Revision: Foundation Tier<span style="color: rgb(255, 0, 0); font-style: italic;">Do you need any help from the following? I have given references to the Trevor Senior (Blue Book you have)</span><br /><br /><li>Finish the three Previous Papers 2006, 2007 and 2008</li><li><p style="margin-bottom: 0cm;">Solving Equations p434-435</p> </li><li><p style="margin-bottom: 0cm;">Using formulas p464-465, P468</p> </li><li><p style="margin-bottom: 0cm;">Sequences p499-501</p> </li><li><p style="margin-bottom: 0cm;">Distance Time Graphs p.562-566</p> </li><li><p style="margin-bottom: 0cm;">Factorising p.613, 615</p> </li><li><p style="margin-bottom: 0cm;">Parallel lines p.621, quadrilaterals, p623, p625</p> </li><li><p style="margin-bottom: 0cm;">regular polygons</p> </li><li><p style="margin-bottom: 0cm;">writing as equations p.649</p> </li><li><p style="margin-bottom: 0cm;">Area //gram , triangles p.660-661</p> </li><li><p style="margin-bottom: 0cm;">circumference p.665, 669</p> </li><li><p style="margin-bottom: 0cm;">area p.671</p> </li><li><p style="margin-bottom: 0cm;">equalities p.686</p> </li><li><p style="margin-bottom: 0cm;">inequalities p.692, 693, 694</p> </li><li><p style="margin-bottom: 0cm;">nets, volumes p.718</p> </li><li><p style="margin-bottom: 0cm;">finding the nth term p.734, 737</p> </li><li><p style="margin-bottom: 0cm;">graphs/gradients p.745-747</p> </li><li><p style="margin-bottom: 0cm;">quadratic graphs p.750-751</p> </li><li>constructions</li>Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0tag:blogger.com,1999:blog-3004458627903790216.post-12990989701980642562009-05-08T12:56:00.000-07:002009-05-11T08:10:58.681-07:00Algebra (Higher)A collection of links, videos etc that will give you last minute revision<br /><br /><a href="http://www.bbc.co.uk/schools/gcsebitesize/maths/algebra/">Bitesize</a> has a comprehensive list<br />Bitesize does <a href="http://www.bbc.co.uk/schools/gcsebitesize/maths/algebra/simultaneoushirev1.shtml">Simultaneous Equations</a><br />A really, really good <a href="http://www.mathsmadeeasy.co.uk/algebra/algebragcse.htm">Mind Map</a> - I like these<br /><br /><object height="295" width="480"><param name="movie" value="http://www.youtube.com/v/vyMCNoY_B5c&hl=en&fs=1"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><embed src="http://www.youtube.com/v/vyMCNoY_B5c&hl=en&fs=1" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" height="295" width="480"></embed></object><br /><br /><span style="color: rgb(255, 0, 0);">Factorising</span><br /><span style="color: rgb(255, 0, 0);">Common Factors</span><br /><object height="265" width="320"><param name="movie" value="http://www.youtube.com/v/yEFQExBmxC8&hl=en&fs=1"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><embed src="http://www.youtube.com/v/yEFQExBmxC8&hl=en&fs=1" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" height="265" width="320"></embed></object><br /><br />If you can stay awake this is video 35 of 51<br /><object height="344" width="425"><param name="movie" value="http://www.youtube.com/v/h2OSKOX7kqs&hl=en&fs=1"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><embed src="http://www.youtube.com/v/h2OSKOX7kqs&hl=en&fs=1" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" height="344" width="425"></embed></object><br /><span style="color: rgb(255, 0, 0);">Factorising Quadratics</span><br />A <a href="http://www.mathcentre.ac.uk/students.php/all_subjects/algebra/factor_quadratics/resources/170">worksheet</a> explaining quadratics such as 2x2 + 5x − 7.<br /><br /><dl><dd><img class="tex" alt="a^2-b^2 = \left(a+b\right)\left(a-b\right)" src="http://upload.wikimedia.org/math/a/9/7/a97c57f77e9add27d2e7116f0ba16b12.png" /></dd></dl><br /><br />Oh dear he tries to be funny - a <span style="color: rgb(255, 0, 0);">difference of 2 Squares</span><br /><object height="344" width="425"><param name="movie" value="http://www.youtube.com/v/696wWEZSIr4&hl=en&fs=1"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><embed src="http://www.youtube.com/v/696wWEZSIr4&hl=en&fs=1" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" height="344" width="425"></embed></object>Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0tag:blogger.com,1999:blog-3004458627903790216.post-24426867825705426172009-05-07T09:55:00.001-07:002009-12-17T05:48:27.890-08:00Trigonometry: Graphs<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCjcoypdQ8umvgxywNMBuXzNalsyDcVBoKa78uhd0BJsu5HIwcRvd1uw_EZodZeBVIhVsqzUzKMWUYzkUBvU7nZK0x-xOt_RrKgo-q9hcaYFlsI2E6ZbWqHswBSBWZ1hhB6L-1sQAalpc/s1600-h/cubic.gif"><img style="margin: 0pt 0pt 10px 10px; float: right; cursor: pointer; width: 255px; height: 268px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCjcoypdQ8umvgxywNMBuXzNalsyDcVBoKa78uhd0BJsu5HIwcRvd1uw_EZodZeBVIhVsqzUzKMWUYzkUBvU7nZK0x-xOt_RrKgo-q9hcaYFlsI2E6ZbWqHswBSBWZ1hhB6L-1sQAalpc/s320/cubic.gif" alt="" id="BLOGGER_PHOTO_ID_5333166802531581986" border="0" /></a><br /><span style="color: rgb(255, 0, 0); font-weight: bold;">Chapter 37 Graphs</span><br /><br />I'll add things later - but do subscribe/follow it'll help - this topic will be on the second paper.<br /><br /><span style="color: rgb(255, 0, 0);">Cubic Functions</span><br /><ul><li>Have a look at Bitesize <a href="http://www.bbc.co.uk/schools/gcsebitesize/maths/algebra/furthergraphhirev1.shtml">Cubic</a> Function ) </li><li>Have a look at the links - there is a good summary of the graphs you should know.</li></ul><br />A video that is American but watch once!<br /><embed id="VideoPlayback" src="http://video.google.co.uk/googleplayer.swf?docid=-550528343841928944&hl=en&fs=true" style="width: 400px; height: 326px;" allowfullscreen="true" allowscriptaccess="always" type="application/x-shockwave-flash"></embed><br /><br /><br /><a href="http://www.vias.org/calculus/01_real_and_hyperreal_numbers_02_04.html">Reciprocal Function</a> look at how this is plotted<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhvDmzc3EsIBwQMPWZC-_eZdsdpl7owgSxKQA50sz3NZsPddchI05Hi-8Hoc5d9z66lgQKg9qhnrRo1n3OmYwyLrGTzW8jffocNGI7hOfiV0ESUgQ6DHd1ZGuLSlfXiyO-yw8YpQwd7B5I/s1600-h/recip.gif"><img style="margin: 0pt 0pt 10px 10px; float: right; cursor: pointer; width: 154px; height: 152px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhvDmzc3EsIBwQMPWZC-_eZdsdpl7owgSxKQA50sz3NZsPddchI05Hi-8Hoc5d9z66lgQKg9qhnrRo1n3OmYwyLrGTzW8jffocNGI7hOfiV0ESUgQ6DHd1ZGuLSlfXiyO-yw8YpQwd7B5I/s320/recip.gif" alt="" id="BLOGGER_PHOTO_ID_5333321390771590594" border="0" /></a><br /><br /><br /><br /><br /><br /><br /><br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyG9bsMg0WU01AjVB89shaqimI5MzoH49MwXTyJK_YZEW1IrgqZbTNufSflfVTW8RH0Xj6b7GMgMg2Hdv7O2bOqiDMy6tntp256aUkHcIiECl4NKdtT89mTpSyYnxO4LXAtL8uOi0JXA0/s1600-h/ss-singraph.jpg"><img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer; width: 320px; height: 122px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyG9bsMg0WU01AjVB89shaqimI5MzoH49MwXTyJK_YZEW1IrgqZbTNufSflfVTW8RH0Xj6b7GMgMg2Hdv7O2bOqiDMy6tntp256aUkHcIiECl4NKdtT89mTpSyYnxO4LXAtL8uOi0JXA0/s320/ss-singraph.jpg" alt="" id="BLOGGER_PHOTO_ID_5333322454137928418" border="0" /></a><br /><a href="http://www.mathsrevision.net/gcse/pages.php?page=39">Trigonometric functions</a> sine, cosine - be aware of what they <a href="http://www.gcsemathstutor.com/sincostan.php">look like</a><br /><br /><br /><br /><br /><br /><br /><br /><span style="color: rgb(255, 0, 0);">Solving Quadratic equations graphically</span><br /><object width="560" height="340"><param name="movie" value="http://www.youtube.com/v/dvJQGHwPk6M&hl=en&fs=1"></param><param name="allowFullScreen" value="true"></param><param name="allowscriptaccess" value="always"></param><embed src="http://www.youtube.com/v/dvJQGHwPk6M&hl=en&fs=1" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="560" height="340"></embed></object><br /><br /><span style="color: rgb(255, 0, 0); font-weight: bold;"><br /><br /><br /><br />37.3 Transformations and Functions</span><br />A very good start is to look at <a href="http://www.bbc.co.uk/schools/gcsebitesize/maths/algebra/transformationhirev1.shtml">Bitesize </a><br />Translations, Stretch, Reflection<br />There is a pdf <a href="http://www.purecoder.net/gcse/Topic%20sheet%20-%20Higher%20tier%20Transformation%20of%20graphs.pdf">here</a> - 9 pages that will need printing out.<br /><br /><br /><object width="560" height="340"><param name="movie" value="http://www.youtube.com/v/EQMNawz4Z0E&hl=en&fs=1"><param name="allowFullScreen" value="true"><param name="allowscriptaccess" value="always"><embed src="http://www.youtube.com/v/EQMNawz4Z0E&hl=en&fs=1" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="560" height="340"></embed></object>Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0tag:blogger.com,1999:blog-3004458627903790216.post-60583121172366875672009-02-23T01:47:00.000-08:002009-12-17T05:43:26.772-08:00Algebra: Index NumbersReminder of Rules<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNej2kantOCoYY1sAO5NbT1Hcy4gSJijXtP4n0KGk12tFb6Z1W651Vjxy8tHspea9RziGYMn9kUIh0PO-k0T9ijJETV4TcU3MCuEjqgfJrkNz5MjoMczEVZyqcWB7o1bpXRm7a40Lv5zY/s1600-h/indexes.gif"><img style="MARGIN: 0px 10px 10px 0px; WIDTH: 320px; FLOAT: left; HEIGHT: 320px; CURSOR: hand" id="BLOGGER_PHOTO_ID_5305929699485523666" border="0" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNej2kantOCoYY1sAO5NbT1Hcy4gSJijXtP4n0KGk12tFb6Z1W651Vjxy8tHspea9RziGYMn9kUIh0PO-k0T9ijJETV4TcU3MCuEjqgfJrkNz5MjoMczEVZyqcWB7o1bpXRm7a40Lv5zY/s320/indexes.gif" /></a><br /><br />Recap p.247<br /><br />Standard Index Form p 249 (Straightforward)<br />Exercise B p250/251Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0tag:blogger.com,1999:blog-3004458627903790216.post-16242143496540141612008-06-09T10:12:00.000-07:002009-12-17T05:46:09.610-08:00A-Level: Chain Rule, Product rule, Quotient Rule<a href="http://en.wikibooks.org/wiki/Calculus/More_Differentation_Rules#Logarithms">Wikibooks</a><br /><a href="http://www.youtube.com/watch?v=XIWegI-GPoc">Utube Chain Rule 1</a><br /><a href="http://www.youtube.com/watch?v=KT5Rz5F7Oqs&feature=related">Chain Rule</a> including Trig<br /><br />Exercise 5A p.105 to 107<br /><br />Differentiate exponential function and natural logs. Ex 5b, Ex 5cRon Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0tag:blogger.com,1999:blog-3004458627903790216.post-22616668846447969302008-05-08T03:32:00.000-07:002009-12-17T05:50:20.278-08:00A-Level:: Formula SheetFollow t<a href="http://www.aqa.org.uk/qual/pdf/FORMULAE.PDF">his link</a> - but beware 35 pages long in Pdf - you are principally interested in pages 4 and 5Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0tag:blogger.com,1999:blog-3004458627903790216.post-59285446897978508212008-04-16T00:23:00.000-07:002009-12-17T05:51:40.069-08:00A-Level:Trigonometric functions Chapter 16<a href="http://en.wikibooks.org/wiki/A-level_Mathematics/C2/Trigonometric_Functions">Wikibooks</a> - a good reference for what you must learn, with some worked examples<br /><br /><a href="http://www.youtube.com/watch?v=6Qv_bPlQS8E">Unit circle</a> - UTube - watch twice 16A<br /><br /><a href="http://www.youtube.com/watch?v=rml7YFs98tU">Radians boring voice but good</a><br />What is a radian? How do I <a href="http://en.wikibooks.org/wiki/Trigonometry/Radian_and_degree_measures">convert degrees</a> to radians?<br />Equivalent angles using <a href="http://www.youtube.com/watch?v=RNNWGLaQXcU&feature=related">trig graphs *****</a><br />Solve <a href="http://www.youtube.com/watch?v=Sm5Qtvhklto&feature=related">trig equations</a> - using <span style="font-weight: bold;">mode</span> on calculators - degrees or radians<br />More <a href="http://www.youtube.com/watch?v=_ZjVE-urwgg&feature=related">difficult trig equations</a> using substitutionRon Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0tag:blogger.com,1999:blog-3004458627903790216.post-61385840423283822922008-04-06T03:00:00.000-07:002009-12-17T05:52:01.232-08:00A-Level: AP, GP & BINOMIAL<a href="http://en.wikibooks.org/wiki/A-level_Mathematics/C2/Sequences_and_Series">Wiki Books for all theory in this topic</a><br /><span style="font-weight: bold;">Binomial Expansion Chapter 15<br /></span>Binomial - <a href="http://www.mathsnet.net/asa2/2004/c23combin.html">Maths Net</a><br />Some Utube worked examples<br /><a href="http://www.youtube.com/watch?v=H1yf_jPGckc"><span>Edexcel C2 June 2006 Q1</span></a><br /><br /><span style="font-weight: bold;">Arithmetic Series and Geometric Series Chapter 19</span><br />GP - <a href="http://www.mathsnet.net/asa2/2004/c23gp1.html">Maths Net</a><br />Be able to <a href="http://www.mathsnet.net/asa2/2004/c23match.html">memorise </a>the correct formulas<br /><br /><a href="http://www.youtube.com/watch?v=WjLSz-nNLBc"><span>Sequences and Series</span></a><br /><span><a href="http://www.youtube.com/watch?v=ecBDvoSTQ5c">Arithmetic and Geometric series sums and the nth terms </a>With a silly Hat<br /><br /></span><span style="font-weight: bold;"><br /></span><a href="http://www.youtube.com/watch?v=H1yf_jPGckc"><span></span></a>Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0tag:blogger.com,1999:blog-3004458627903790216.post-12536102707505464152008-03-10T11:07:00.000-07:002009-12-17T05:53:11.936-08:00A-Level: Exponentials and Logarithms<span style="color: rgb(255, 0, 0);">Chapter 18</span><br /><br /><ul><li><a href="http://www.mathsrevision.net/alevel/pages.php?page=24&searchterm=logs">This</a> sets out the theory you need to know.</li><li><a href="http://en.wikibooks.org/wiki/A-level_Mathematics/C2/Logarithms_and_Exponentials">Wikibooks </a>has a dry presentation<br /></li><li>Log functions and exponential functions are inverses of each other. One <span style="font-style: italic;">undoes</span> the other.</li><li><a href="http://www.youtube.com/watch?v=4WbX83B-CXo">This Utube video</a> is lengthy but very comprehensive. If you watch this a couple of times it should click.</li><li><a href="http://www.mathsnet.net/asa2/2004/c25ax.html">The graph of</a><b> y=a<sup>x <br /></sup></b></li></ul>Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0tag:blogger.com,1999:blog-3004458627903790216.post-9504011840542089282008-03-10T11:06:00.000-07:002009-12-17T05:52:26.503-08:00A-Level: Differentiation (including negative and fractional indices)<span style="color: rgb(255, 0, 0); font-weight: bold;">Chapter 20 </span><span style="color: rgb(255, 0, 0); font-weight: bold;"> </span><span style="color: rgb(0, 0, 0);">Try <a href="http://www.mathedup.co.uk/Key_stage_5_resources.htm">this</a>. Notes from MathsRevision.net so worth printing out</span><ul><li><span style="color: rgb(255, 0, 0); font-weight: bold;"><a href="http://www.mathsrevision.net/alevel/pages.php?page=9">Differentiation</a> </span><span style="color: rgb(0, 0, 0);"></span><span style="color: rgb(255, 0, 0); font-weight: bold;"><br /></span></li><li><span style="color: rgb(255, 0, 0); font-weight: bold;"><a href="http://www.mathsrevision.net/alevel/pages.php?page=41">Tangents & Normals<br /></a></span></li><li><span style="color: rgb(255, 0, 0); font-weight: bold;"><a href="http://www.mathsrevision.net/alevel/pages.php?page=45">Turning Points</a></span></li><li><span style="color: rgb(255, 0, 0); font-weight: bold;"><a href="http://www.mathsrevision.net/alevel/pages.php?page=43">Second Derivative</a></span></li></ul><span style="color: rgb(255, 0, 0); font-weight: bold;"><br />You Tube<br /></span><ul><li><span>AS & A Level Maths No.15 <a href="http://www.youtube.com/watch?v=lnunVM-LoAU&feature=related">Calculus 1</a> 10 minute introduction (Gradients)<br /></span></li><li><span>AS & A Level Maths No.16 <a href="http://www.youtube.com/watch?v=9QzzOALzZ5Q">Calculus 2</a> rate of change, ds/dt<br /></span></li><li><span>AS & A Level Maths No.17 <a href="http://www.youtube.com/watch?v=-fFLm-jt1es&feature=related">Calculus 3</a> finding the equations of tangents and normals to a curve</span></li><li><span>Exercise 20E p.367 (Review) Q all. See the Key points p.369</span></li><li><span>Test yourself and Extension Exercise</span></li><li><span>Complete sections in Past Examination Questions<br /></span></li></ul><span style="color: rgb(255, 0, 0); font-weight: bold;"><br /></span>Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0tag:blogger.com,1999:blog-3004458627903790216.post-42185449582510606302008-03-10T07:43:00.000-07:002009-12-17T05:51:19.557-08:00A-Level: Integration and Trapezium Rule<span style="color: rgb(255, 0, 0); font-weight: bold;">Chapter 21 </span><span style="color: rgb(0, 0, 0);">Try <a href="http://www.mathedup.co.uk/Key_stage_5_resources.htm">this</a>.</span><br /><br /><ul><li>Integration can be used to find area though be aware that area beneath the x-axis is counted as <span style="font-style: italic;">negative area.</span></li><li><a href="http://en.wikibooks.org/wiki/A-level_Mathematics/C2/Integration"><span style="font-style: italic;">WikiBooks </span></a><span>is a good reference - but be selective i.e. scan read and just follow what you need to.</span><span style="font-style: italic;"><br /></span></li></ul><span style="font-style: italic;"><br /></span><span style="color: rgb(255, 0, 0); font-weight: bold;">Trapezium Rule</span><span style="font-style: italic;"><br /></span><ul><li>Also known as a Riemann Sum</li><li><span style="font-weight: bold;">You need to know and be able to write down</span> the formula for the Trapezium Rule P.379</li><li><span style="font-weight: bold;">When</span> this rule gives an overestimate and an underestimate</li><li>The fact that splitting into more and more trapezia<span style="font-weight: bold;"> improves the approximation.</span><br /></li><li><span style="color: rgb(255, 0, 0);">I strongly recommend</span> you to look at this <a href="http://www.youtube.com/watch?v=mLcldbs5rR8">Utube video</a> for an explanation. 8 minutes.<br /></li></ul><br />Think in English first<br /><br />Area = 1/2 (width of step)[1st height + 2(sum of all middle height) + last height]<br /><br /><span style="color: rgb(255, 0, 0);">Terms</span><br /><ul><li>Trapezium</li><li>Integral</li><li>Area</li><li>Ordinate</li></ul><span style="color: rgb(255, 0, 0); font-weight: bold;">Resources</span><br /><ul><li>Notes and worked examples</li><li>Key Points Handout see pp385/386<br /></li><li><span style="color: rgb(255, 0, 0);">Past examination questions with answers.</span> Make sure you can answer every part of every question. <span style="color: rgb(255, 0, 0); font-weight: bold;">Use the following coding</span> <span style="font-weight: bold;">*Yes </span>can do, <span style="font-weight: bold;">**</span> Been taught but <span style="font-weight: bold;">unsure</span>, <span style="font-weight: bold;">***</span> Missed this/never understood it/not a chance.</li><li><span style="color: rgb(255, 0, 0);">Remember</span> to follow how marks are allocated - write down in English the stages you are doing, write down the calculations you are doing on calculator.</li><li>For a Question with 3 marks - if you correctly use a Calculator full marks, if you make a mistake 0 marks. Method marks can be picked up by writing your method down - but that makes sense?<br /></li><li>Exercise 21D p382 Q6, 7, 8 (Note in rare cases tables have been given)</li><li>Exercise 21E Review p384 Q5, 6, 7</li></ul><span style="color: rgb(255, 0, 0); font-weight: bold;">Note</span><br /><ul><li>The trapezium rule has invariably been on each C2 exam paper either as a stand-alone or part of a Question. This topic should now be secure - i.e. <span style="font-weight: bold;">*Yes</span></li><li>Work to be completed from previous lessons Exercise 20A, Ex 20C (turning points)<span style="font-weight: bold;"><br /></span></li></ul>Ron Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com1tag:blogger.com,1999:blog-3004458627903790216.post-34405990164578888112008-03-10T07:04:00.000-07:002008-03-10T08:11:58.140-07:00Qualifications to Teach Mathematics<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjpawpq2U5ol3HRP2jZQjuKYIydPTO-nXaD5fDKp-QjEy58w4Gbx8BnW4LHj_q563zwfQccY2FbR28ROJAgh1beE_-pBFWgZDcPHTB5kM7MnFbRXo1zhdKYvlQl_qFcSuMzRXdAHtBgUHE/s1600-h/rapids.gif"><img style="margin: 0pt 0pt 10px 10px; float: right; cursor: pointer;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjpawpq2U5ol3HRP2jZQjuKYIydPTO-nXaD5fDKp-QjEy58w4Gbx8BnW4LHj_q563zwfQccY2FbR28ROJAgh1beE_-pBFWgZDcPHTB5kM7MnFbRXo1zhdKYvlQl_qFcSuMzRXdAHtBgUHE/s320/rapids.gif" alt="" id="BLOGGER_PHOTO_ID_5176114517660762834" border="0" /></a><br /><ul><li>I did A-level Mathematics and Further Mathematics when I was your age.</li><li>Then went straight to University where I did a Joint Mathematics and Economics degree.</li><li>I then studied to become an accountant for 3 years until I got bored and then decided to take up teaching.</li><li>Teaching is not boring for sure.</li><li>I then taught Mathematics for 7 years at Kaskenmoor School - 11 to 16, up to O-Level as it was then.</li><li>I took a parallel move to North Chadderton (with slightly less money) in order to teach A-Level Mathematics.</li><li>I taught the A-Level Applied and Mechanics modules for 4 years as well as 16+ maths and youngsters. Lots of A's and B's during that time.</li><li>There were very few computers in school - I'd come from a school with hundreds of computers.</li><li>So over the next 22 years I gradually dropped Mathematics and went into ICT.</li><li>I even gave away my mathematics notes.</li></ul><br /><span style="color: rgb(255, 0, 0); font-weight: bold;">But</span><br /><ul><li>Can do the theory but rusty - certainly with Pure Mathematics.</li><li>Will be prepared.</li><li>Will be able to see the pitfalls that new entrants to A-Level Maths have.</li><li>Have to regain ways of explaining maths - picking up tricks.</li></ul>I like all kinds of music - a friend gave me<a href="http://www.time.com/time/photoessays/2008/rock_hall_fame_2008/?cnn=yes"> this </a>a link to the Rock Hall of FameRon Moorbyhttp://www.blogger.com/profile/07362791927167955690noreply@blogger.com0