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	<title>singaporeolevelmaths &#187; sketch</title>
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	<link>http://www.singaporeolevelmaths.com</link>
	<description>Scoring A-Grade in Math &#38; Life!</description>
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		<title>Quadratic Equation &#8211; Completing The Square Method</title>
		<link>http://www.singaporeolevelmaths.com/2008/05/14/quadratic-equation-completing-the-square-method/</link>
		<comments>http://www.singaporeolevelmaths.com/2008/05/14/quadratic-equation-completing-the-square-method/#comments</comments>
		<pubDate>Wed, 14 May 2008 04:46:01 +0000</pubDate>
		<dc:creator>alwaysLovely</dc:creator>
				<category><![CDATA[E-Math]]></category>
		<category><![CDATA[Weekly Question]]></category>
		<category><![CDATA[completing square]]></category>
		<category><![CDATA[quadratic equations]]></category>
		<category><![CDATA[quadratic graphs]]></category>
		<category><![CDATA[sketch]]></category>

		<guid isPermaLink="false">http://singaporeolevelmaths.com/2008/05/14/quadratic-equation-completing-the-square-method/</guid>
		<description><![CDATA[I have talked about the 3 main representations of a quadratic equation and each of its significance previously.
Today, I am using a real examination question to illustrate on The Completed Square Form and its significance.

Related Articles:

E-Maths Note: Quadratic Equations &#038; Graphs
E-Maths Note: Quadratic Equations &#038; Graphs Series Revisit
E-Math: Quadratic Checklist
A-Math: General Equation of Circle &#8211; [...]]]></description>
			<content:encoded><![CDATA[<p>I have talked about the <a href="http://singaporeolevelmaths.com/2007/11/13/e-maths-note-quadratic-equations-graphs/">3 main representations of a quadratic equation </a>and each of its significance previously.</p>
<p>Today, I am using a real examination question to illustrate on The Completed Square Form and its significance.<a title="completingsquare.PNG" rel="lightbox[pics269]" href="http://singaporeolevelmaths.com/wp-content/uploads/2008/05/completingsquare.PNG"><img class="imageframe imgalignleft" src="http://singaporeolevelmaths.com/wp-content/uploads/2008/05/completingsquare.PNG" alt="completingsquare.PNG" width="448" height="61" /></a></p>
<p><a title="completedsquareform.PNG" rel="lightbox[pics269]" href="http://singaporeolevelmaths.com/wp-content/uploads/2008/05/completedsquareform.PNG"><img class="imageframe imgalignleft" src="http://singaporeolevelmaths.com/wp-content/uploads/2008/05/completedsquareform.PNG" alt="completedsquareform.PNG" width="448" height="243" /></a></p>
<p><a title="sketchquadraticgraph.PNG" rel="lightbox[pics269]" href="http://singaporeolevelmaths.com/wp-content/uploads/2008/05/sketchquadraticgraph.PNG"><img class="imageframe imgalignleft" src="http://singaporeolevelmaths.com/wp-content/uploads/2008/05/sketchquadraticgraph.PNG" alt="sketchquadraticgraph.PNG" width="406" height="448" /></a><strong>Related Articles:</strong>
<ul class="similar-posts">
<li><a href="http://www.singaporeolevelmaths.com/2007/11/13/e-maths-note-quadratic-equations-graphs/" rel="bookmark" title="November 13, 2007">E-Maths Note: Quadratic Equations &#038; Graphs</a></li>
<li><a href="http://www.singaporeolevelmaths.com/2008/02/22/e-maths-note-quadratic-equations-graphs-series-revisit/" rel="bookmark" title="February 22, 2008">E-Maths Note: Quadratic Equations &#038; Graphs Series Revisit</a></li>
<li><a href="http://www.singaporeolevelmaths.com/2010/07/28/e-math-quadratic-checklist/" rel="bookmark" title="July 28, 2010">E-Math: Quadratic Checklist</a></li>
<li><a href="http://www.singaporeolevelmaths.com/2010/01/21/a-math-general-equation-of-circle-linked-to-completing-square/" rel="bookmark" title="January 21, 2010">A-Math: General Equation of Circle &#8211; Linked to Completing Square</a></li>
<li><a href="http://www.singaporeolevelmaths.com/2007/11/29/e-maths-note-quadratic-equations-graphs-series/" rel="bookmark" title="November 29, 2007">E-Maths Note: Quadratic Equations &#038; Graphs Series</a></li>
</ul>
<p><!-- Similar Posts took 4.277 ms --></p>
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		</item>
		<item>
		<title>What Is The Difference Between Sketch And Draw?</title>
		<link>http://www.singaporeolevelmaths.com/2008/04/07/what-is-the-difference-between-sketch-and-draw/</link>
		<comments>http://www.singaporeolevelmaths.com/2008/04/07/what-is-the-difference-between-sketch-and-draw/#comments</comments>
		<pubDate>Mon, 07 Apr 2008 01:34:03 +0000</pubDate>
		<dc:creator>alwaysLovely</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[draw]]></category>
		<category><![CDATA[sketch]]></category>
		<category><![CDATA[straight line graphs]]></category>

		<guid isPermaLink="false">http://singaporeolevelmaths.com/2008/04/07/what-is-the-difference-between-sketch-and-draw/</guid>
		<description><![CDATA[It is important to know the difference between Sketch A Graph &#38; Draw A Graph.
Sketch ==&#62;

On foolscap paper
Best Representation of the graph
Less time as it reflects only the general shape of the graph.

Draw ==&#62;

On graph paper
Accurate representation of the graph
More time needed as it usually involves more points on the graph
Curve rule/french curve is usually required.

Example:
Sketch [...]]]></description>
			<content:encoded><![CDATA[<p>It is important to know the difference between <strong>Sketch A Graph</strong> &amp; <strong>Draw A Graph</strong>.</p>
<p>Sketch ==&gt;</p>
<ul>
<li>On foolscap paper</li>
<li>Best Representation of the graph</li>
<li>Less time as it reflects only the general shape of the graph.</li>
</ul>
<p>Draw ==&gt;</p>
<ul>
<li>On graph paper</li>
<li>Accurate representation of the graph</li>
<li>More time needed as it usually involves more points on the graph</li>
<li>Curve rule/french curve is usually required.</li>
</ul>
<p>Example:</p>
<p>Sketch <img style="vertical-align: -2pt" title="y=-3x+1" src="http://www.forkosh.dreamhost.com/mathtex.cgi?y=-3x+1" alt="y=-3x+1" /></p>
<p>What I will do :</p>
<ol>
<li>Find <em>x</em>-intercept (i.e. set <em>y </em>= 0)<br />
<img style="vertical-align: -2pt" title="x=\frac{1}{3}" src="http://www.forkosh.dreamhost.com/mathtex.cgi?x=\frac{1}{3}" alt="x=\frac{1}{3}" /></li>
<li>Find <em>y</em>-intercept (i.e. set <em>x </em>= 0) <em>y</em> = 1</li>
<li>Put the 2 points on the axes I have drawn on foolscap, join the 2 points, label the line.</li>
</ol>
<p>Draw <img style="vertical-align: -2pt" title="y=-3x+1" src="http://www.forkosh.dreamhost.com/mathtex.cgi?y=-3x+1" alt="y=-3x+1" /></p>
<ol>
<li>Set up a table of 3 values of <em>x</em> choosen randomly i.e <em>x</em> = -1 , 0, 1</li>
<li>Find out values of <em>y</em> for each value of <em>x</em> by substituting into the equation of the line.</li>
<li>Plot the points on a graph paper accurately.</li>
<li>Join the 3 points, label the line.</li>
</ol>
<p>Good in straight line? You might want to check out how you can <a href="http://singaporeolevelmaths.com/2008/04/02/what-has-my-left-palm-got-to-do-with-math/">draw Exponential Graph here even with NO Math knowledge.</a><strong>Related Articles:</strong>
<ul class="similar-posts">
<li><a href="http://www.singaporeolevelmaths.com/2009/05/14/a-math-how-do-you-sketch-a-modulus-graph/" rel="bookmark" title="May 14, 2009">A-Math: How Do You Sketch A Modulus Graph?</a></li>
<li><a href="http://www.singaporeolevelmaths.com/2008/04/15/linear-lawjust-1-strategy-makes-a-grade-difference/" rel="bookmark" title="April 15, 2008">Linear Law,Just 1 Strategy Makes A Grade Difference</a></li>
<li><a href="http://www.singaporeolevelmaths.com/2008/04/02/what-has-my-left-palm-got-to-do-with-math/" rel="bookmark" title="April 2, 2008">What Has My Left Palm Got To Do With Math?</a></li>
<li><a href="http://www.singaporeolevelmaths.com/2007/09/28/a-math-more-trigo-graphs/" rel="bookmark" title="September 28, 2007">A-Math More Trigo Graphs</a></li>
<li><a href="http://www.singaporeolevelmaths.com/2008/05/14/quadratic-equation-completing-the-square-method/" rel="bookmark" title="May 14, 2008">Quadratic Equation &#8211; Completing The Square Method</a></li>
</ul>
<p><!-- Similar Posts took 5.345 ms --></p>
]]></content:encoded>
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		</item>
		<item>
		<title>What Has My Left Palm Got To Do With Math?</title>
		<link>http://www.singaporeolevelmaths.com/2008/04/02/what-has-my-left-palm-got-to-do-with-math/</link>
		<comments>http://www.singaporeolevelmaths.com/2008/04/02/what-has-my-left-palm-got-to-do-with-math/#comments</comments>
		<pubDate>Wed, 02 Apr 2008 04:56:06 +0000</pubDate>
		<dc:creator>alwaysLovely</dc:creator>
				<category><![CDATA[A-Math]]></category>
		<category><![CDATA[E-Math]]></category>
		<category><![CDATA[expo]]></category>
		<category><![CDATA[graphs]]></category>
		<category><![CDATA[sketch]]></category>

		<guid isPermaLink="false">http://singaporeolevelmaths.com/2008/04/02/what-has-my-left-palm-got-to-do-with-math/</guid>
		<description><![CDATA[Palm Reading for my Destiny? Nope.
I was recently doing graph topics with some students. And some were complaining how much they have to memorize until I revealed to them some of the Underground Secrets on Mastery Of Graphs. They were amazed and amused.


Click on pictures for clearer view
Our palms have the exponential graph  embedded on them! Now you have [...]]]></description>
			<content:encoded><![CDATA[<p>Palm Reading for my Destiny? Nope.</p>
<p>I was recently doing graph topics with some students. And some were complaining how much they have to memorize until I revealed to them some of the <strong>Underground Secrets on Mastery Of Graphs. </strong>They were amazed and amused.</p>
<p style="text-align: center"><a title="expographhand.jpg" rel="lightbox[pics235]" href="http://singaporeolevelmaths.com/wp-content/uploads/2008/04/expographhand.jpg"><img class="imageframe imgaligncenter" src="http://singaporeolevelmaths.com/wp-content/uploads/2008/04/expographhand.thumbnail.jpg" alt="expographhand.jpg" width="200" height="150" align="left" /></a></p>
<p style="text-align: center"><a title="expographhand.PNG" rel="lightbox[pics235]" href="http://singaporeolevelmaths.com/wp-content/uploads/2008/04/expographhand.PNG"><img class="imageframe imgaligncenter" src="http://singaporeolevelmaths.com/wp-content/uploads/2008/04/expographhand.thumbnail.PNG" alt="expographhand.PNG" width="200" height="149" /></a></p>
<p style="text-align: center"><em>Click on pictures for clearer view</em></p>
<p>Our palms have the exponential graph <img style="vertical-align: -2pt" title="y=e^x" src="http://www.forkosh.dreamhost.com/mathtex.cgi?y=e^x" alt="y=e^x" /> embedded on them! Now you have 1 less graph to take care of. Just ensure you keep your hands nice and clean so that the palm lines stay on for you forever.</p>
<p>When the need to draw <img style="vertical-align: -2pt" title="y=e^x" src="http://www.forkosh.dreamhost.com/mathtex.cgi?y=e^x" alt="y=e^x" /> arises, flip that palm up :)</p>
<p><span style="color: #ff0000;"><strong>Warning:</strong></span> You ought to do it tactfully in case the invilgator suspects you of cheating. Haha</p>
<p>I will be writing on more secrets on Mastery of Graphs. If you like these secrets, <a href="http://www.singaporeolevelmaths.com/feed">subscribe to singaporeolevelmaths for free </a>to be posted of more updates.<strong>Related Articles:</strong>
<ul class="similar-posts">
<li><a href="http://www.singaporeolevelmaths.com/2008/04/07/what-is-the-difference-between-sketch-and-draw/" rel="bookmark" title="April 7, 2008">What Is The Difference Between Sketch And Draw?</a></li>
<li><a href="http://www.singaporeolevelmaths.com/2007/09/28/a-math-more-trigo-graphs/" rel="bookmark" title="September 28, 2007">A-Math More Trigo Graphs</a></li>
<li><a href="http://www.singaporeolevelmaths.com/2007/09/20/drawing-of-trigo-graphs/" rel="bookmark" title="September 20, 2007">Drawing of Trigo Graphs</a></li>
<li><a href="http://www.singaporeolevelmaths.com/2008/10/20/a-math-find-coordinates-and-nature-of-stationery-point-plus-tips-to-note-in-differentiation/" rel="bookmark" title="October 20, 2008">A-Math: Find Coordinates and Nature of Stationery Point (Plus: Tips to note in Differentiation)</a></li>
</ul>
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