tag:blogger.com,1999:blog-52752194268538212782024-03-13T22:18:30.143+00:00National 5 MathsUnknownnoreply@blogger.comBlogger1125tag:blogger.com,1999:blog-5275219426853821278.post-28933309563602535712012-05-21T15:09:00.001+01:002014-06-02T12:47:32.015+01:00Unit 1 Expressions and formulae<span style="font-family: inherit; font-size: large;">Outcome 1.1</span><br />
<span style="font-family: inherit; font-size: large;">Applying numerical skills to simplify surds/expressions using the law of indices.</span><br />
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://3.bp.blogspot.com/-tJouN0LS9nc/U3M0wiX6AJI/AAAAAAAAARY/KLMZCiqAfuw/s1600/Surds.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img alt="" border="0" src="http://3.bp.blogspot.com/-tJouN0LS9nc/U3M0wiX6AJI/AAAAAAAAARY/KLMZCiqAfuw/s1600/Surds.png" height="484" title="Suds Overview" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Surds Overview</td></tr>
</tbody></table>
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<h3>
<a href="http://www.bbc.co.uk/education/guides/z7fbkqt/revision/1" target="_blank"><span style="font-family: inherit;">Surds overview (BBC)</span></a></h3>
<h3>
<a href="http://www.bbc.co.uk/education/guides/z7fbkqt/revision/2" target="_blank">Surds - Rationalising the denominator (BBC)</a></h3>
<div>
<br /></div>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://2.bp.blogspot.com/-TeG2EvCIQcA/U3M7NCjo9nI/AAAAAAAAARo/9idgiun_VY8/s1600/rules+for+indices.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://2.bp.blogspot.com/-TeG2EvCIQcA/U3M7NCjo9nI/AAAAAAAAARo/9idgiun_VY8/s1600/rules+for+indices.jpg" height="640" width="462" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Rules for indices</td></tr>
</tbody></table>
<h3>
<a href="http://www.bbc.co.uk/education/guides/z7fbkqt/revision/3" target="_blank">Simplifying indices (BBC)</a></h3>
<h3>
<a href="http://www.bbc.co.uk/education/guides/z7fbkqt/revision/4" target="_blank">Indices - Raising one power to a second power (BBC)</a></h3>
<h3>
<a href="http://www.bbc.co.uk/education/guides/z7fbkqt/revision/5" target="_blank">Negative indices (BBC)</a></h3>
<h3>
<a href="http://www.bbc.co.uk/education/guides/z7fbkqt/revision/6" target="_blank">Fractions as indices (BBC)</a></h3>
<h3>
<a href="http://www.bbc.co.uk/education/guides/z7fbkqt/revision/7" target="_blank">Scientific notation (BBC)</a></h3>
<div>
<h2>
<a href="http://www.bbc.co.uk/education/guides/z7fbkqt/test" target="_blank"><span style="color: blue; font-size: large;">Test - surds and indices (BBC)</span></a></h2>
</div>
<a href="http://2.bp.blogspot.com/-tPh9Z8AWayQ/U3M8w70zNnI/AAAAAAAAAR0/DXGPq05By8I/s1600/surds+run+away.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" src="http://2.bp.blogspot.com/-tPh9Z8AWayQ/U3M8w70zNnI/AAAAAAAAAR0/DXGPq05By8I/s1600/surds+run+away.jpg" /></a><br />
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<span style="font-size: large;">Outcome 1.2</span><br />
<span style="font-family: inherit; font-size: large;">Applying algebraic skills to manipulate expressions.</span><br />
<span style="font-family: inherit; font-size: large;"><br /></span>
<br />
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://1.bp.blogspot.com/-KkgTN2qpDe4/U3Sh-SIildI/AAAAAAAAASE/kuL7rxnbeak/s1600/brackets.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://1.bp.blogspot.com/-KkgTN2qpDe4/U3Sh-SIildI/AAAAAAAAASE/kuL7rxnbeak/s1600/brackets.jpg" height="480" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Removing Brackets</td></tr>
</tbody></table>
<h3>
<span style="font-family: inherit;"><a href="http://www.bbc.co.uk/education/guides/z2yg87h/revision/1" target="_blank">Removing brackets (BBC)</a></span></h3>
<h3>
<a href="http://www.bbc.co.uk/education/guides/z2yg87h/revision/2" target="_blank">Removing pairs of brackets (BBC)</a></h3>
<h2>
<a href="http://www.bbc.co.uk/education/guides/z2yg87h/test" target="_blank"><span style="color: blue; font-size: large;">Test - Expansion of Brackets (BBC)</span></a></h2>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://2.bp.blogspot.com/-XHyGz_oXW0s/U3jccMozqNI/AAAAAAAAAUI/SXFr8BhN89s/s1600/surds.gif" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://2.bp.blogspot.com/-XHyGz_oXW0s/U3jccMozqNI/AAAAAAAAAUI/SXFr8BhN89s/s1600/surds.gif" height="480" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Factorising - Highest Common Factor</td></tr>
</tbody></table>
<h2>
</h2>
<h3>
<a href="http://www.bbc.co.uk/education/guides/zmvrd2p/revision/1" target="_blank">Factorising - highest common factor (BBC)</a></h3>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://1.bp.blogspot.com/-fH8ZLHXGFdM/U3ji3XHeD0I/AAAAAAAAAUU/-13l6bQm8L0/s1600/diff+squares.gif" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://1.bp.blogspot.com/-fH8ZLHXGFdM/U3ji3XHeD0I/AAAAAAAAAUU/-13l6bQm8L0/s1600/diff+squares.gif" height="480" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Difference of two Squares</td></tr>
</tbody></table>
<h3>
<a href="http://www.bbc.co.uk/education/guides/zmvrd2p/revision/2" target="_blank">Factorising - difference of two squares (BBC)</a></h3>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://3.bp.blogspot.com/-hf2tHbbDsS8/U3shRWzCzyI/AAAAAAAAAUk/902nOVbpWUA/s1600/Factorising+Trnomials.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://3.bp.blogspot.com/-hf2tHbbDsS8/U3shRWzCzyI/AAAAAAAAAUk/902nOVbpWUA/s1600/Factorising+Trnomials.png" height="480" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Factorising Trinomials</td></tr>
</tbody></table>
<div>
<br /></div>
<h3>
<a href="http://www.bbc.co.uk/education/guides/zmvrd2p/revision/3" target="_blank">Factorising trinomials (BBC)</a></h3>
<h3>
<a href="http://www.bbc.co.uk/education/guides/zmvrd2p/revision/4" target="_blank">Factorising trinomials where coefficient of x^2 is greater than 1 (BBC) </a></h3>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://1.bp.blogspot.com/-4f4DrFTYPvU/U3sl9Gaf_JI/AAAAAAAAAUw/fLVi0BOqhgI/s1600/completing+the+square.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://1.bp.blogspot.com/-4f4DrFTYPvU/U3sl9Gaf_JI/AAAAAAAAAUw/fLVi0BOqhgI/s1600/completing+the+square.png" height="480" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Completing the square</td></tr>
</tbody></table>
<div>
<br /></div>
<h3>
<a href="http://www.bbc.co.uk/education/guides/zmvrd2p/revision/5" target="_blank">Factorising - completing the square (BBC)</a></h3>
<h2>
<a href="http://www.bbc.co.uk/education/guides/zmvrd2p/test" target="_blank"><span style="color: blue;">Test - Factorising (BBC)</span></a></h2>
<div>
<br /></div>
<span style="font-family: inherit; font-size: large;">Outcome 1.3<br />Applying algebraic skills to algebraic fractions.</span><br />
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-B1KwCM0iZAA/U3s29T4SCrI/AAAAAAAAAVA/IlO773NLksY/s1600/algebraic+fractions.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://4.bp.blogspot.com/-B1KwCM0iZAA/U3s29T4SCrI/AAAAAAAAAVA/IlO773NLksY/s1600/algebraic+fractions.png" height="480" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Algebraic fractions</td></tr>
</tbody></table>
<h3>
<a href="http://www.bbc.co.uk/education/guides/zx3cwmn/revision/1" target="_blank">Simplifying algebraic fractions (BBC)</a></h3>
<h3>
<a href="http://www.bbc.co.uk/education/guides/zx3cwmn/revision/2" target="_blank">Adding / subtracting algebraic fractions (BBC)</a></h3>
<h3>
<a href="http://www.bbc.co.uk/education/guides/zx3cwmn/revision/3" target="_blank">Multiplying algebraic fractions (BBC)</a></h3>
<h3>
<a href="http://www.bbc.co.uk/education/guides/zx3cwmn/revision/4" target="_blank">Dividing algebraic fractions (BBC)</a></h3>
<h2>
<a href="http://www.bbc.co.uk/education/guides/zx3cwmn/test" target="_blank"><span style="color: blue;">Test - Algebraic fractions (BBC)</span></a></h2>
<span style="font-family: inherit; font-size: large;"><br /></span>
<span style="font-family: inherit; font-size: large;">Outcome 1.4</span><br />
<span style="font-family: inherit; font-size: large;">Applying geometric skills linked to the use of formulae.</span><br />
<br />
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-BUOhlw45mRM/U3s7ekoV0dI/AAAAAAAAAVM/01USXvMuCJM/s1600/gradient.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://4.bp.blogspot.com/-BUOhlw45mRM/U3s7ekoV0dI/AAAAAAAAAVM/01USXvMuCJM/s1600/gradient.png" height="480" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Gradient of a straight line</td></tr>
</tbody></table>
<h3>
</h3>
<h3>
<span style="font-family: inherit;"><a href="http://www.bbc.co.uk/education/guides/z6b4jxs/revision" target="_blank">Gradient of a straight line (BBC)</a></span></h3>
<h2>
<a href="http://www.bbc.co.uk/education/guides/z6b4jxs/test" style="background-color: white;" target="_blank"><span style="color: blue;">Test - Gradient (BBC)</span></a></h2>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://1.bp.blogspot.com/-4a_17jZR9JA/U3tApr84lEI/AAAAAAAAAVY/sVsIGdoX5pM/s1600/arc+sector.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://1.bp.blogspot.com/-4a_17jZR9JA/U3tApr84lEI/AAAAAAAAAVY/sVsIGdoX5pM/s1600/arc+sector.png" height="480" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Arc length and sector area</td></tr>
</tbody></table>
<h2>
</h2>
<h3>
<a href="http://www.bbc.co.uk/education/guides/ztg9q6f/revision/1" target="_blank"><span style="font-family: inherit;">Arc length (BBC)</span></a></h3>
<h3>
<span style="font-family: inherit;"><a href="http://www.bbc.co.uk/education/guides/ztg9q6f/revision/2" target="_blank">Area of a sector (BBC)</a></span></h3>
<h3>
<a href="http://www.bbc.co.uk/education/guides/ztg9q6f/revision/3" target="_blank">Angle at the centre of a circle (BBC)</a></h3>
<h2>
<a href="http://www.bbc.co.uk/education/guides/ztg9q6f/test" target="_blank"><span style="color: blue;">Test - Circle geometry (BBC)</span></a></h2>
<div class="separator" style="clear: both; text-align: center;">
</div>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://1.bp.blogspot.com/-dbcvzgoGZ7Q/U3uXeUzhBvI/AAAAAAAAAV0/o_cSKWvP4ls/s1600/Volume+(1).jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://1.bp.blogspot.com/-dbcvzgoGZ7Q/U3uXeUzhBvI/AAAAAAAAAV0/o_cSKWvP4ls/s1600/Volume+(1).jpg" height="640" width="414" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Volume of shapes</td></tr>
</tbody></table>
<h3>
<span style="font-family: inherit;"><a href="http://www.bbc.co.uk/education/guides/zhrk7ty/revision/1" target="_blank">Volume of a sphere (BBC)</a></span></h3>
<h3>
<b><a href="http://www.bbc.co.uk/education/guides/zhrk7ty/revision/2" target="_blank">Volume of a hemisphere (BBC)</a></b></h3>
<h3>
<a href="http://www.bbc.co.uk/education/guides/zhrk7ty/revision/3" target="_blank">Volume of a cone (BBC)</a></h3>
<h3>
<a href="http://www.bbc.co.uk/education/guides/zhrk7ty/revision/4" target="_blank">Volume of a prism (BBC)</a></h3>
<h3>
<a href="http://www.bbc.co.uk/education/guides/zhrk7ty/revision/5" target="_blank">Volume of a cylinder (BBC)</a></h3>
<h3>
<a href="http://www.bbc.co.uk/education/guides/zhrk7ty/revision/5" target="_blank">Volume of a composite shape (BBC)</a></h3>
<h3>
<a href="http://www.bbc.co.uk/education/guides/zhrk7ty/revision/7" target="_blank">The history of area and volume (BBC)</a></h3>
<h2>
<a href="http://www.bbc.co.uk/education/guides/zhrk7ty/test" target="_blank"><span style="color: blue;">Test - Volume (BBC)</span></a></h2>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://3.bp.blogspot.com/-j69aTepWp1Q/U3ubiw-2eAI/AAAAAAAAAWA/r4umIhjDvX0/s1600/significant+figures.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://3.bp.blogspot.com/-j69aTepWp1Q/U3ubiw-2eAI/AAAAAAAAAWA/r4umIhjDvX0/s1600/significant+figures.png" height="480" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Rounding to significant figures</td></tr>
</tbody></table>
<h3>
<a href="http://www.bbc.co.uk/education/guides/zpc82hv/revision/1" target="_blank">Rounding to significant figures (BBC)</a></h3>
<h2>
<a href="http://www.bbc.co.uk/education/guides/zpc82hv/test" target="_blank"><span style="color: blue;">Test - Rounding (BBC)</span></a></h2>
<div>
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