tag:blogger.com,1999:blog-10223722224241259692024-03-13T22:57:39.391+08:002013 S3-03 Maths BlogNur Joharihttp://www.blogger.com/profile/12038483883275572574noreply@blogger.comBlogger31125tag:blogger.com,1999:blog-1022372222424125969.post-13673879940820953512013-09-20T10:52:00.000+08:002013-09-20T10:52:37.971+08:00TI84 Exercise<div class="separator" style="clear: both; text-align: center;">
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Nur Joharihttp://www.blogger.com/profile/12038483883275572574noreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-11402682128530176532013-09-16T22:11:00.001+08:002013-09-16T22:11:00.354+08:00Assessment in term 4 2013<span style="font-family: Arial, Helvetica, sans-serif;">Dear SSTudents,</span><br />
<span style="color: blue; font-family: Arial, Helvetica, sans-serif;"><br /></span>
<b><span style="color: blue; font-family: Arial, Helvetica, sans-serif;">1. Performance Task 2 (in lieu of Elementary Mathematics)</span></b><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">As mentioned earlier the deadline of the PT2 is 16 September 2013 @ 2359. To date many students have submitted their products with high quality questions and 'proof's. Effective use of ICT tools (google, Blog, Geogebra, Keynote, Powerpoint, Pretzi etc) have further enhanced the final product.</span><br />
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<b><span style="color: blue; font-family: Arial, Helvetica, sans-serif;">2. Paper 3 (in lieu of Additional Mathematics)</span></b><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">The assessment information will be as follows:</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">Date: <span style="color: red;"><b> 23 September </b></span> 2013 (Monday)</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"> (Please be punctual and ensure you have a heavier meal in the morning)</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">Time: 3.00 pm to 4.00 pm</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">Venue: Auditorium</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">Note that you are required to sit according to your classes and index numbers. The teachers will supervise you on this.</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"><br /></span>
<span style="font-family: Arial, Helvetica, sans-serif;">Logistic:</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">TI84 Graphic Calculator (or other approved GC model)</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">(no other calculator will be allowed)</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">Stationery - pen and ruler</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"><br /></span>
<b><span style="color: blue; font-family: Arial, Helvetica, sans-serif;">3. Information on EOY</span></b><br />
<span style="font-family: Arial, Helvetica, sans-serif;">Please refer to your class math blog or google site earlier entries on this.</span><br />
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<i><span style="color: blue; font-family: Arial, Helvetica, sans-serif;">All the best - you can do it because we have faith in you but do you!</span></i>Nur Joharihttp://www.blogger.com/profile/12038483883275572574noreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-54714807374176210802013-08-31T22:24:00.000+08:002013-09-24T14:46:15.495+08:00Update on Assessment (i) PT2 (ii) P3 (iii) EOY<br />
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b style="background-color: yellow;">(1) Performance Task 2</b></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">This constitutes the Elementary Mathematics component of Assessment.</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">The performance task focuses on the topic of Geometrical Proof - Circle Properties. (please refer to Blog entry on <a class="GHUY-LPOB" href="http://www.blogger.com/blogger.g?blogID=1833288305023363886#editor/target=post;postID=3014593268360659227;onPublishedMenu=allposts;onClosedMenu=allposts;postNum=0;src=postname" style="border: 0px; color: #1155cc; cursor: pointer; margin: 0px 10px 0px 0px; padding: 0px; text-align: -webkit-left; vertical-align: baseline;">Mathematics Performance Task 2</a>)</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><span style="color: #222222;">Deadline for submission is </span><b><span style="color: red;">Term 4 Week 1 (first lesson)</span></b></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b style="background-color: yellow;"><br /></b></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b style="background-color: yellow;">(2) Paper 3</b></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">This constitutes the Additional Mathematics component of Assessment.</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><span style="color: #222222;">This will be conducted in </span><b><span style="color: red;">Term 4</span></b><span style="color: #222222;">.</span></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">Students are expected to familiarise themselves with GC-TI84+.</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">(please refer to your Math teacher on information on use of GC-TI84+)</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b style="background-color: yellow;"><br /></b></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b style="background-color: yellow;"><br /></b></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b style="background-color: yellow;">(3) End-of-Year Examination: Mathematics</b></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><br /></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">Information pertaining to the Maths exam has been communicated to the students in the GoogleSite (as well as the <a href="http://sst2013-s107maths.blogspot.sg/2013/08/end-of-year-exam-mathematics.html" style="color: #1155cc;" target="_blank">Maths blog</a>).</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;"><u>Elementary Mathematics paper 1</u></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">Date:<b><span style="color: red;"> <span class="aBn" data-term="goog_1508903472" style="border-bottom-color: rgb(204, 204, 204); border-bottom-style: dashed; border-bottom-width: 1px; position: relative; top: -2px; z-index: 0;" tabindex="0"><span class="aQJ" style="position: relative; top: 2px; z-index: -1;">27 September 2013</span></span> </span></b>(<span class="aBn" data-term="goog_1508903473" style="border-bottom-color: rgb(204, 204, 204); border-bottom-style: dashed; border-bottom-width: 1px; position: relative; top: -2px; z-index: 0;" tabindex="0"><span class="aQJ" style="position: relative; top: 2px; z-index: -1;">Friday</span></span>)</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">Duration: 1 hour 30 minutes</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;"><br /></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;"><u>Elementary Mathematics paper 2</u></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">Date:<b><span style="color: red;"> 30<span class="aBn" data-term="goog_1508903472" style="border-bottom-color: rgb(204, 204, 204); border-bottom-style: dashed; border-bottom-width: 1px; position: relative; top: -2px; z-index: 0;" tabindex="0"><span class="aQJ" style="position: relative; top: 2px; z-index: -1;"> September 2013</span></span> </span></b>(Monday)</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">Duration: 2 hours</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;"><br /></span></div>
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<div style="background-color: white; color: #222222;">
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;"><u>Additional Mathematics</u></span></div>
<div style="background-color: white; color: #222222;">
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">Date:<b><span style="color: red;"> <span class="aBn" data-term="goog_1508903472" style="border-bottom-color: rgb(204, 204, 204); border-bottom-style: dashed; border-bottom-width: 1px; position: relative; top: -2px; z-index: 0;" tabindex="0"><span class="aQJ" style="position: relative; top: 2px; z-index: -1;">4 October 2013</span></span> </span></b>(<span class="aBn" data-term="goog_1508903473" style="border-bottom-color: rgb(204, 204, 204); border-bottom-style: dashed; border-bottom-width: 1px; position: relative; top: -2px; z-index: 0;" tabindex="0"><span class="aQJ" style="position: relative; top: 2px; z-index: -1;">Friday</span></span>)</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">Duration: 2 hours 30 minutes</span></div>
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<b><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">Table of Specification</span></b></div>
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<u><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">A. Elementary Mathematics</span></u><br />
<span style="background-color: white; color: #1a1a1a; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 13px; line-height: 18px;">• </span><span style="background-color: white; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 13px; line-height: 18px;">Numbers and the four operations (moe 1.1)</span><br />
<span style="background-color: white; color: #1a1a1a; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 13px; line-height: 18px;">• </span><span style="background-color: white; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 13px; line-height: 18px;">Algebraic representation and formulae (moe 1.5)</span><br />
<span style="background-color: white; color: #1a1a1a; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 13px; line-height: 18px;">• </span><span style="background-color: white; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 13px; line-height: 18px;">Functions and graphs (moe 1.7)</span><br />
<span style="background-color: white; color: #1a1a1a; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 13px; line-height: 18px;">• </span><span style="background-color: white; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 13px; line-height: 18px;">Algebraic manipulation (moe 1.6)</span><br />
<span style="background-color: white; color: #1a1a1a; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 13px; line-height: 18px;">• </span><span style="background-color: white; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 13px; line-height: 18px;">Solutions of equations and inequalities (moe 1.8)</span><br />
<span style="background-color: white; color: #1a1a1a; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 13px; line-height: 18px;">• </span><span style="background-color: white; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 13px; line-height: 18px;">Properties of circles (moe 2.3)</span><br />
<span style="background-color: white; color: #1a1a1a; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 13px; line-height: 18px;">• </span><span style="background-color: white; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 13px; line-height: 18px;">Coordinate geometry (moe 2.6)</span><br />
<span style="background-color: white; color: #1a1a1a; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 13px; line-height: 18px;">• Trigonometry</span><br />
<span style="color: #1a1a1a; font-family: 'Helvetica Neue', Arial, Helvetica, sans-serif; font-size: 13px; line-height: 18px;">• Mensuration</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif; text-indent: -36pt;"><span style="font-size: x-small;"><br /></span></span></div>
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<u><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;"><span style="text-indent: -36pt;">B. </span><span style="text-indent: -36pt;">Additional Mathematics</span></span></u></div>
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<b><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;">(A1) Equations and inequalities </span></b></div>
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<b style="text-indent: -24px;"><span style="color: blue;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;"> Conditions for a quadratic equation</span></span></b></div>
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<span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;"><span style="text-indent: -18pt;"> Solving</span><span style="text-indent: -18pt;"> </span><b style="text-indent: -18pt;"><span style="color: blue;">simultaneous equations</span></b><span style="text-indent: -18pt;"> </span><span style="text-indent: -18pt;">in two variables with at least one linear
equation, by substitution</span></span></div>
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<span style="text-indent: -18pt;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;"> Relationships between the <b><span style="color: blue;">roots and coefficients of a quadratic equation</span></b></span></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;"><span style="text-indent: -18pt;"> Solving</span><span style="text-indent: -18pt;"> </span><b style="text-indent: -18pt;"><span style="color: blue;">quadratic inequalities</span></b><span style="text-indent: -18pt;">, and representing the solution on the number line</span></span></div>
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<b><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;">(A2) Indices and surds</span></b></div>
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<span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;"><b style="text-indent: -24px;"><span style="color: blue;"> Four operations</span></b><span style="text-indent: -24px;"> on indices and surds, including rationalising the denominator</span></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;"><b style="text-indent: -24px;"><span style="color: blue;"> Solving equations</span></b><span style="text-indent: -24px;"> involving indices and surds</span></span></div>
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<b><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;">(A3) Polynomials and Partial Fractions</span></b></div>
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<span style="text-indent: -24px;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;"> Multiplication and division of polynomials</span></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;"><span style="text-indent: -24px;"> Use of </span><b style="text-indent: -24px;"><span style="color: blue;">remainder and factor theorems</span></b></span></div>
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<span style="text-indent: -24px;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;"> Factorisation of polynomials</span></span></div>
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<b style="text-indent: -24px;"><span style="color: blue;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;"> Partial fractions</span></span></b></div>
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<b><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;">(A4) Binomial Expansions</span></b></div>
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<b><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;">(A5) Power, Exponential, Logarithmic, and Modulus functions</span></b></div>
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<span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;"><b>(G1) </b>Trigonometric functions, identities and equations.</span></div>
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<ul>
<li><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;"><span style="font-size: x-small;">· Six trigonometric functions for angles of any magnitude (in degrees or radians)</span></span></li>
<li><span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">· </span><b style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;"><span style="color: blue;">Principal values</span></b><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;"> of sin</span><span style="font-family: Arial, Helvetica, sans-serif; position: relative; text-indent: -18pt; top: -6pt;">–1</span><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">x, cos</span><span style="font-family: Arial, Helvetica, sans-serif; position: relative; text-indent: -18pt; top: -6pt;">–1</span><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">x, tan</span><span style="font-family: Arial, Helvetica, sans-serif; position: relative; text-indent: -18pt; top: -6pt;">–1</span><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">x</span></span></li>
<li><span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">· Exact values of the trigonometric functions for </span><b style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;"><span style="color: blue;">special angles</span></b><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">
</span><span style="font-family: Arial, Helvetica, sans-serif; position: relative; text-indent: -18pt; top: 1pt;">(</span><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">30°,45°,60°</span><span style="font-family: Arial, Helvetica, sans-serif; position: relative; text-indent: -18pt; top: 1pt;">) or </span><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">(π/6, π/4, π/3)</span></span></li>
<li><span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">· </span><b style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;"><span style="color: blue;">Amplitude, periodicity and symmetries </span></b><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">related to the</span><b style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;"><span style="color: blue;"> sine and cosine</span></b><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;"> functions
</span></span></li>
<li><span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">· </span><b style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;"><span style="color: blue;">Graphs</span></b><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;"> of </span><b style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">y </b><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;"> = </span><b style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">a</b><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">sin(</span><b style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">bx</b><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">) , </span><b style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">y </b><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;"> = </span><b style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">a </b><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">sin(</span><b style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">x/b + c</b><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">), </span><b style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">y </b><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;"> = </span><b style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">a</b><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">cos(</span><b style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">bx</b><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">) , </span><b style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">y </b><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;"> = </span><b style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">a </b><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">cos(</span><b style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">x/b + c</b><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">) and </span></span><b style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: small; text-indent: -18pt;">y </b><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: x-small; text-indent: -18pt;"> = </span><b style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: small; text-indent: -18pt;">a</b><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: x-small; text-indent: -18pt;">tan(</span><b style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: small; text-indent: -18pt;">bx</b><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: x-small; text-indent: -18pt;">) , where a is real, b is a positive integer and c is an integer.</span></li>
<li><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;"><span style="font-size: x-small;">· Use of the following</span></span></li>
<li><span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif; text-indent: 0px;">∗</span><span style="font-family: Arial, Helvetica, sans-serif; text-indent: 0px;"> (BASIC TRIG RULES)</span></span></li>
<li><span style="font-family: Arial, Helvetica, sans-serif;"><span style="font-size: x-small;"> sin A/cos A=tan A,</span></span></li>
<li><span style="font-family: Arial, Helvetica, sans-serif;"><span style="font-size: x-small;"> cos A/sin A=cot A, </span></span></li>
<li><span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;"> sin</span><span style="font-family: Arial, Helvetica, sans-serif; position: relative; top: -5pt;">2</span><span style="font-family: Arial, Helvetica, sans-serif;">A+cos</span><span style="font-family: Arial, Helvetica, sans-serif; position: relative; top: -5pt;">2</span><span style="font-family: Arial, Helvetica, sans-serif;">A=1,</span></span></li>
<li><span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;"> sec</span><span style="font-family: Arial, Helvetica, sans-serif; position: relative; top: -5pt;">2</span><span style="font-family: Arial, Helvetica, sans-serif;">A=1+tan</span><span style="font-family: Arial, Helvetica, sans-serif; position: relative; top: -5pt;">2</span><span style="font-family: Arial, Helvetica, sans-serif;">A,</span></span></li>
<li><span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;"> cosec</span><span style="font-family: Arial, Helvetica, sans-serif; position: relative; top: -5pt;">2</span><span style="font-family: Arial, Helvetica, sans-serif;">A =1+cot</span><span style="font-family: Arial, Helvetica, sans-serif; position: relative; top: -5pt;">2</span><span style="font-family: Arial, Helvetica, sans-serif;">A</span></span></li>
<li><span style="font-family: Arial, Helvetica, sans-serif;"><span style="font-size: x-small;"> (DOUBLE ANLES)</span></span></li>
<li><span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;"> the expansions of </span><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">sin(A ± B), cos(A ± B) and tan(A ± B)</span></span></li>
<li><span style="font-family: Arial, Helvetica, sans-serif;"><span style="font-size: x-small;"> the formulae for sin 2A, cos 2A and tan 2A</span></span></li>
<li><span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;"> (R-FORMULA) - </span><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">the expression for acosu + bsinu in the form </span><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">Rcos(u ± a) or R sin (u ± a)</span></span></li>
<li><span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif;"> </span><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">Simplification of trigonometric expressions</span></span></li>
<li><span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">· </span><b style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;"><span style="color: blue;">Solution of simple trigonometric equations</span></b><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;"> in a given interval (excluding
general solution)</span></span></li>
<li><span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;">· </span><b style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;"><span style="color: blue;">Proofs</span></b><span style="font-family: Arial, Helvetica, sans-serif; text-indent: -18pt;"> of simple trigonometric identities</span></span></li>
</ul>
<br />
<br />
<div class="MsoNormal" style="text-indent: 0px;">
<b><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;">(G2) Coordinate Geometry</span></b></div>
<div class="MsoNormal" style="text-indent: 0px;">
<span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;"> Condition for two lines to be parallel or perpendicular</span></div>
<div class="MsoNormal" style="text-indent: 0px;">
<b><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;">(G2) Linear Law</span></b></div>
<div class="MsoNormal" style="text-indent: 0px;">
</div>
<div class="MsoListParagraphCxSpFirst" style="margin: 0cm 0cm 12pt 18pt; text-indent: -24px;">
<span style="font-size: x-small;"><span style="font-family: Arial, Helvetica, sans-serif; text-indent: 0px;"><span style="color: blue;"><b> </b></span>Transformation of given relationships, including </span><span style="font-family: Arial, Helvetica, sans-serif; text-indent: 0px;">y = ax</span><span style="font-family: Arial, Helvetica, sans-serif; position: relative; text-indent: 0px; top: -6pt;">n </span><span style="font-family: Arial, Helvetica, sans-serif; text-indent: 0px;">and y = kb</span><span style="font-family: Arial, Helvetica, sans-serif; position: relative; text-indent: 0px; top: -6pt;">x</span><span style="font-family: Arial, Helvetica, sans-serif; text-indent: 0px;">, to linear form to determine the unknown constants from a straight line graph</span></span></div>
<br />
<div class="MsoNormal" style="text-indent: 0px;">
<span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;"><br /></span></div>
</div>
</div>
<div style="background-color: white; color: #222222;">
<b><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;">Resource and References</span></b></div>
<div style="background-color: white; color: #222222;">
<span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;">The following would be useful for revision:</span></div>
<div style="background-color: white; color: #222222;">
<ul>
<li style="margin-left: 15px;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;">Maths Workbook</span></li>
<li style="margin-left: 15px;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;">Study notes</span></li>
<li style="margin-left: 15px;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;">Homework Handouts</span></li>
<li style="margin-left: 15px;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;">Exam Prep Booklets (that was given since the beginning of the year)</span></li>
<li style="margin-left: 15px;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;">Ace Learning Portal - where they could attempt practices that are auto-mark</span></li>
<li style="margin-left: 15px;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;">Past GCEO EM and AM questions (students were recommended to purchase these at the beginning of the year)</span></li>
</ul>
</div>
<div style="background-color: white; color: #222222;">
<div>
<b style="background-color: yellow;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;"><br /></span></b></div>
<div>
<b style="background-color: yellow;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;">(4) General Consultation and Timed-trial during the school holidays</span></b></div>
</div>
<div style="background-color: white; color: #222222;">
<span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;"><br /></span></div>
<span style="background-color: white;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;"><span style="color: #222222;">During the school holidays, there would be a timed-trial on </span><b><span style="color: red;">Monday 9 September 2013</span></b><span style="color: #222222;"> (Monday). The focus would be on Additional Mathematics and students are strongly encouraged to attend.</span></span></span><br />
<div>
<span style="background-color: white; color: #222222;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: x-small;">Duration: 0800 - 1030 (2 hours 30 minutes) </span></span></div>
Nur Joharihttp://www.blogger.com/profile/12038483883275572574noreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-41575721280025032932013-08-31T21:17:00.000+08:002013-08-31T21:17:18.720+08:00Mathematics Performance Task 2 <div class="separator" style="clear: both; text-align: center;">
<b><span style="font-size: large;">Due Term 4 Week 1 (first Mathematics Lesson)</span></b></div>
<div class="separator" style="clear: both; text-align: center;">
<i>the file could be downloaded from google site.</i></div>
<div class="separator" style="clear: both; text-align: center;">
<br /></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqGGTa5RQneNgV7KrrdYHBjCPivYzNoMMM78E4uKIgeHUlH91PW3bPQmBS9V6ptNHFtm5SIM5EXnS_o34JKyOy8hPsf38kdUmUzq33nxvXEsi1mj8ki7N92iujnEWi6rHmTYGcL-0Sd7Q/s1600/Screen+Shot+2013-08-31+at+6.54.51+PM.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqGGTa5RQneNgV7KrrdYHBjCPivYzNoMMM78E4uKIgeHUlH91PW3bPQmBS9V6ptNHFtm5SIM5EXnS_o34JKyOy8hPsf38kdUmUzq33nxvXEsi1mj8ki7N92iujnEWi6rHmTYGcL-0Sd7Q/s640/Screen+Shot+2013-08-31+at+6.54.51+PM.png" width="453" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdnypiyf0tlVkQnoM8wUkiRxDyqLHq-LneEr2RHwZUfDLhsYK9yKn4XwME6o2vVHztXr3qYRwt-AmuA7IcGqrFPB4aptLx8t8eRcRJK660JA5pg2TW5lx8cc57oUmCU9AcpiZPFKBM-5s/s1600/Screen+Shot+2013-08-31+at+6.54.59+PM.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdnypiyf0tlVkQnoM8wUkiRxDyqLHq-LneEr2RHwZUfDLhsYK9yKn4XwME6o2vVHztXr3qYRwt-AmuA7IcGqrFPB4aptLx8t8eRcRJK660JA5pg2TW5lx8cc57oUmCU9AcpiZPFKBM-5s/s640/Screen+Shot+2013-08-31+at+6.54.59+PM.png" width="449" /></a></div>
<br />
Please fill-up this form once you have submitted the work.<br />
<br />
<br />
<br />
<iframe frameborder="0" height="500" marginheight="0" marginwidth="0" src="https://docs.google.com/forms/d/1wRIgYkt1USpRFOxJOUurtpGFjTMl9oHNvnP0xg440aQ/viewform?embedded=true" width="760">Loading...</iframe>Nur Joharihttp://www.blogger.com/profile/12038483883275572574noreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-23291276851645142312013-08-30T09:07:00.000+08:002013-08-30T09:09:13.054+08:00Essential GC skills for Paper 3<br />
View each video carefully and learn these fundamental GDC skills.<br />
<br />
1. Basic Graphing Controls<br />
a. Zoom Options<br />
<a href="http://www.youtube.com/watch?v=r7DWbhWd9zE&list=PLB1A524363687A860">http://www.youtube.com/watch?v=r7DWbhWd9zE&list=PLB1A524363687A860</a><br />
<br />
b. Setting the Window<br />
<a href="http://www.youtube.com/watch?v=a_uJpI6LXr4">http://www.youtube.com/watch?v=a_uJpI6LXr4</a><br />
<br />
2. Graphing Basics<br />
<br />
a. Graph a line and find the table of values:<br />
<a href="http://www.youtube.com/watch?v=3WctC2xCnI0">http://www.youtube.com/watch?v=3WctC2xCnI0</a><br />
<br />
b. Finding coordinates of turning points of a graph:<br />
<a href="http://www.youtube.com/watch?v=pXRbQv8gauI">http://www.youtube.com/watch?v=pXRbQv8gauI</a><br />
<br />
c. Finding intersection between two graphs:<br />
<a href="http://www.youtube.com/watch?v=M-1QUYQbYHM">http://www.youtube.com/watch?v=M-1QUYQbYHM</a><br />
(comes with exercises)<br />
<br />
d. Finding roots and y-intercept of a graph:<br />
<a href="http://www.youtube.com/watch?v=TGWrsnPNfnM">http://www.youtube.com/watch?v=TGWrsnPNfnM</a><br />
<br />
3. PlySmlt2<br />
a. Using PlySmlt2 for Solving Quadratic Equations<br />
<a href="http://www.youtube.com/watch?v=NBRzvsJ6ros">http://www.youtube.com/watch?v=NBRzvsJ6ros</a><br />
<br />
b. Using PlySmlt2 to Solve a System of Equations<br />
<a href="http://www.youtube.com/watch?v=Dyox4aNR0Zc">http://www.youtube.com/watch?v=Dyox4aNR0Zc</a><br />
<br />
c. Using PlySmlt2 to Solve Polynomial Equations<br />
<a href="http://www.youtube.com/watch?v=3CoNcxnVbtY">http://www.youtube.com/watch?v=3CoNcxnVbtY</a><br />
<div>
<br /></div>
Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-41842525415909342732013-08-01T09:14:00.000+08:002013-08-30T09:09:25.775+08:00TI-84 TRIGO GRAPHING<div class="separator" style="clear: both; text-align: center;">
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Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-37917621579472147822013-07-06T22:38:00.001+08:002013-07-06T22:38:03.329+08:00Semester 2 Update<br />
<h3>
<span style="color: purple; font-size: large;"><b>1. Scheme of Work (Syllabus for Semester 2)</b></span></h3>
<div style="border-collapse: collapse; font-family: arial, sans-serif;">
<div style="font-size: 14px;">
<span style="color: blue; font-size: xx-small;"><b>Term 3</b></span></div>
<div style="color: #222222; font-size: 14px;">
<span style="font-size: xx-small;">Wk 1 (AM) LINEAR LAW<span style="white-space: pre-wrap;"> </span></span></div>
<div style="color: #222222; font-size: 14px;">
<span style="font-size: xx-small;">Wk 2-3 (EM) TRIGONOMETRY</span></div>
<div style="color: #222222; font-size: 14px;">
<span style="font-size: xx-small;"> - Sine Rule, Cosine Rule, bearings, Angle of Elevation, 3D problems (EM)</span></div>
<div style="color: #222222; font-size: 14px;">
<span style="font-size: xx-small;">Wk 4-6 (AM) TRIGONOMETRY (AM)</span></div>
<div style="color: #222222; font-size: 14px;">
<span style="font-size: xx-small;">Wk 7 <span style="white-space: pre-wrap;"> (EM) </span>PROPERTIES OF CIRCLES </span></div>
<div style="color: #222222; font-size: 14px;">
<span style="font-size: xx-small;">Wk 8 <span style="color: red;"> </span>(AM) CIRCULAR MEASURE</span><span class="Apple-style-span" style="font-size: xx-small; white-space: pre-wrap;"> </span></div>
<div style="color: #222222; font-size: 14px;">
<span style="font-size: xx-small;">Wk 9-10 (AM) BINOMIAL THEOREM </span></div>
<div style="font-size: 14px;">
<span style="white-space: pre-wrap;"><span style="font-size: xx-small;"><b><span class="Apple-style-span" style="color: blue;">Term 4</span></b><span class="Apple-style-span" style="color: #222222;"> </span></span></span><span style="color: #222222; font-size: xx-small; white-space: pre-wrap;"> </span></div>
</div>
<div style="border-collapse: collapse; color: #222222; font-family: arial, sans-serif; font-size: 14px;">
<span style="white-space: pre-wrap;"><span style="font-size: xx-small;">Wk 1 Revision</span></span></div>
<div style="border-collapse: collapse; color: #222222; font-family: arial, sans-serif; font-size: 14px;">
<span style="white-space: pre-wrap;"><span style="font-size: xx-small;">Wk 2 EOY Exam</span></span></div>
<div style="border-collapse: collapse; color: #222222; font-family: arial, sans-serif; font-size: 14px;">
<span style="white-space: pre-wrap;"><span style="font-size: xx-small;"><br /></span></span></div>
<div style="border-collapse: collapse; color: #222222; font-family: arial, sans-serif; font-size: 14px;">
<span style="white-space: pre-wrap;"><span style="font-size: xx-small;"><span style="white-space: normal;"><b><span style="color: blue;">Self Directed Learning </span></b>(AM) URVES & CIRCLES</span><br />
</span></span></div>
<div style="border-collapse: collapse; color: #222222; font-family: arial, sans-serif; font-size: 14px;">
<span style="white-space: pre-wrap;"><span style="font-size: xx-small;"><span style="white-space: normal;"><br /></span></span></span></div>
<h3>
<span style="color: purple; font-size: large;"><b>2. Assessment </b></span></h3>
<span class="Apple-style-span" style="border-collapse: collapse; font-family: arial, sans-serif;"><span style="border-collapse: collapse; font-family: arial, sans-serif;"><div style="font-size: 14px;">
<span style="color: blue; font-size: xx-small;"><b>Level Test 2 (10%) </b></span></div>
</span></span><span class="Apple-style-span" style="border-collapse: collapse; color: #222222; font-family: arial, sans-serif; font-size: xx-small;">Wk 7-8</span><span class="Apple-style-span" style="border-collapse: collapse; color: #222222; font-family: arial, sans-serif;"><div style="font-size: 14px;">
<span style="font-size: xx-small;">format: 1 hour</span></div>
</span><span class="Apple-style-span" style="border-collapse: collapse; color: #222222; font-family: arial, sans-serif; font-size: xx-small;">Marks: 40 marks</span><span class="Apple-style-span" style="border-collapse: collapse; font-family: arial, sans-serif;"><span style="border-collapse: collapse; font-family: arial, sans-serif;"><div style="color: #222222; font-size: 14px;">
<span style="font-size: xx-small;">Topics</span></div>
<div style="color: #222222; font-size: 14px;">
<span style="font-size: xx-small;">EM</span></div>
<div style="color: #222222; font-size: 14px;">
<span style="font-size: xx-small;"> Coordinate Geometry</span></div>
<div style="color: #222222; font-size: 14px;">
<span style="font-size: xx-small;"> Trigonometry</span></div>
<div style="color: #222222; font-size: 14px;">
<span style="font-size: xx-small;">AM</span></div>
<div style="color: #222222; font-size: 14px;">
<span style="font-size: x-small;"><div>
<span style="font-size: xx-small;"> Coordinate Geometry</span></div>
<div>
<span style="font-size: xx-small;"> Trigonometry</span></div>
<div>
<span style="font-size: xx-small;"> Linear Law</span></div>
<div>
<span style="font-size: xx-small;"><br /></span></div>
</span></div>
<div style="font-size: 14px;">
<span class="Apple-style-span" style="color: blue;"><b>Paper 3 - AM (10%) </b></span></div>
<div style="font-size: 14px;">
<span class="Apple-style-span" style="color: blue;"><b>PT2 - EM (10%)</b></span></div>
<div style="color: #222222; font-size: 14px;">
<br /></div>
</span></span>Nur Joharihttp://www.blogger.com/profile/12038483883275572574noreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-45106935464834883542013-07-06T16:47:00.004+08:002013-07-06T16:47:56.623+08:00Notes on graph plotting<div class="p1">
<span class="Apple-tab-span"> </span>~ Use suitable scale</div>
<div class="p1">
<span class="Apple-tab-span"></span><span class="Apple-tab-span"></span> - Write down scale on the graph paper</div>
<div class="p1">
<br /></div>
<div class="p1">
<span class="Apple-tab-span"> </span>~ Use about 2/3-3/4 of the page</div>
<div class="p1">
<span class="Apple-tab-span"></span><span class="Apple-tab-span"></span> - Allows you to maximize the scale, making your graph more accurate</div>
<div class="p1">
<br /></div>
<div class="p1">
<span class="Apple-tab-span"> </span>~ Label axis</div>
<div class="p1">
<br /></div>
<div class="p1">
<span class="Apple-tab-span"> </span>~ Accuracy of graph: Half a small square box</div>
<div class="p1">
<br /></div>
<div class="p1">
<span class="Apple-tab-span"> </span>~ Must show vertical/y intercept (Especially important for linear law)</div>
<div class="p1">
<br /></div>
<div class="p1">
<span class="Apple-tab-span"> </span>~ Show your table of values</div>
<br />
<div class="p1">
<span class="Apple-tab-span"></span><span class="Apple-tab-span"></span> - At least 3 points </div>
Brendanhttp://www.blogger.com/profile/10791297811402096970noreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-6073013385807257332013-04-21T18:58:00.000+08:002013-04-21T18:58:03.400+08:00AM and EM Assessment Book (GCE O format)<br />
<div style="border-collapse: collapse; color: #222222; font-family: arial, sans-serif; font-size: 14px;">
<div>
To assist students in their revision and preparation for GCE 'O' Level, the Mathematics Department has made arrangement with the bookshop to order the following 2 books for the students.</div>
<div>
The information is as follows:</div>
<div>
<ul>
<li>Additional Mathematics by topic $7.00</li>
<li>Mathematics by topic $5.50</li>
</ul>
</div>
<div>
Both will include solution booklet</div>
<div>
Please make arrangement with your Math teacher on the procedures for purchases.</div>
<div>
<br /></div>
<div>
<img alt="image.jpeg" class="" height="478" src="https://mail.google.com/mail/u/0/?ui=2&ik=b0bdca97dc&view=att&th=13e200e9c0417cf1&attid=0.1.1&disp=emb&zw&atsh=1" width="640" /></div>
<div>
<b><br /></b></div>
<div>
<b><br /></b></div>
</div>
Nur Joharihttp://www.blogger.com/profile/12038483883275572574noreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-67496435954304895422013-04-05T08:42:00.001+08:002013-04-05T08:42:17.203+08:00Graph Transformation (Summary)<div class="separator" style="clear: both; text-align: center;">
<a href="http://2.bp.blogspot.com/-mG70Hqy8Q6o/UV2XdOm4dTI/AAAAAAAAALo/rhUWrbZcQ38/s1600/Screen+Shot+2013-04-04+at+11.06.36+PM.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span id="goog_1471334282"></span><img border="0" height="382" src="http://2.bp.blogspot.com/-mG70Hqy8Q6o/UV2XdOm4dTI/AAAAAAAAALo/rhUWrbZcQ38/s640/Screen+Shot+2013-04-04+at+11.06.36+PM.png" width="640" /><span id="goog_1471334283"></span></a></div>
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<a href="http://1.bp.blogspot.com/-JTYjXQ2uJzs/UV4dvcDrSmI/AAAAAAAAAL4/_bveDoTnQ38/s1600/Screen+Shot+2013-04-05+at+8.41.10+AM.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="http://1.bp.blogspot.com/-JTYjXQ2uJzs/UV4dvcDrSmI/AAAAAAAAAL4/_bveDoTnQ38/s640/Screen+Shot+2013-04-05+at+8.41.10+AM.png" width="464" /></a></div>
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Pg 200 Notes</div>
<br />Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-31913862137993902712013-03-25T16:58:00.002+08:002013-03-25T16:58:18.491+08:00New Due Date for Math Performance TaskThe deadline is changed to 5 April 2013.Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-77808034257316739972013-03-17T14:53:00.000+08:002013-03-17T14:53:57.082+08:00A02 E question 15(3x)^lg3=(4x)^lg4<br />
<br />
(3^lg3)(x^lg3)=(4^lg4)(x^lg4)<br />
<br />
(3^lg3)/(4^lg4)=(x^lg4)/(x^lg3)<br />
=x^(lg4-lg3)<br />
<br />
[(3^lg3)/4^lg4)]^(1/lg4-lg3)=x<br />
<br />
x=1/12Yong Ming Yanghttp://www.blogger.com/profile/13426948759440242446noreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-64382601506046595862013-03-14T08:40:00.002+08:002013-04-03T09:16:13.815+08:00Performance Task 1<div class="separator" style="clear: both; text-align: center;">
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updated on April 2013<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhMVMvI8Lp7b1hzLvRzKjoqMPcwgJT-23QrzxHGOwFMy7oGBlV9PaDsaaMrNGJD9L2GSznKxJqhV7LNHQ1Vn74yHG8hoNWaA2QqufpADoDprIXPiJfKBXDqtlxJGM3nO-OJIYccUrKidH8/s1600/Screen+shot+2013-03-14+at+AM+08.29.01.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhMVMvI8Lp7b1hzLvRzKjoqMPcwgJT-23QrzxHGOwFMy7oGBlV9PaDsaaMrNGJD9L2GSznKxJqhV7LNHQ1Vn74yHG8hoNWaA2QqufpADoDprIXPiJfKBXDqtlxJGM3nO-OJIYccUrKidH8/s640/Screen+shot+2013-03-14+at+AM+08.29.01.png" width="522" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgfkShMFkUnWOF2PJPQTpx3VSXSiBf_smHBdG4gVjFKYjzB1lMjKFp98elUc4EIsejiK-dtlLoh9XZ_qMiEtfWxkSDxMn7mqxaYglaIwU5fPIRlONWhYbpvKZoC2t-6mX0eXDkgqqPyr84/s1600/Screen+shot+2013-03-14+at+AM+08.29.18.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgfkShMFkUnWOF2PJPQTpx3VSXSiBf_smHBdG4gVjFKYjzB1lMjKFp98elUc4EIsejiK-dtlLoh9XZ_qMiEtfWxkSDxMn7mqxaYglaIwU5fPIRlONWhYbpvKZoC2t-6mX0eXDkgqqPyr84/s640/Screen+shot+2013-03-14+at+AM+08.29.18.png" width="520" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhcQbDrr2RgNEJxs8Xk6HV_dR07Hl8u1VZqcYezXC9beHyDeJJ-m5MiBj7zRRK6E0_z0T3v6wkvS9Zb2yS87e4gTQ5Wb9WW6IDlInsWv4wo27zel0xd0kEdwICNW657LA8JohFmPVQFjDw/s1600/Screen+shot+2013-03-14+at+AM+08.29.35.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhcQbDrr2RgNEJxs8Xk6HV_dR07Hl8u1VZqcYezXC9beHyDeJJ-m5MiBj7zRRK6E0_z0T3v6wkvS9Zb2yS87e4gTQ5Wb9WW6IDlInsWv4wo27zel0xd0kEdwICNW657LA8JohFmPVQFjDw/s640/Screen+shot+2013-03-14+at+AM+08.29.35.png" width="514" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjx28-dSvt0UnbRyN90rx-UBblf_W6PBo4COSzqpo-YQUdGJxzdho0ovLU1YBK44fZiJnz38wAhxP-JkFDyiKxD5H8GkZK9Alo2g0jwvB2C3hYJXxSRfpA7P-mFz-3x74CzmMJ2m2lXBtU/s1600/Screen+shot+2013-04-03+at+AM+12.16.31.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjx28-dSvt0UnbRyN90rx-UBblf_W6PBo4COSzqpo-YQUdGJxzdho0ovLU1YBK44fZiJnz38wAhxP-JkFDyiKxD5H8GkZK9Alo2g0jwvB2C3hYJXxSRfpA7P-mFz-3x74CzmMJ2m2lXBtU/s640/Screen+shot+2013-04-03+at+AM+12.16.31.png" width="570" /></a></div>
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<span class="Apple-style-span" style="color: red;"><b>updated for clarity</b></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgphJv93fRoOHnmWIqUkfYEuLqwEIZBrkHNrAqW36ZPNDSV2KqGZDybAx_4ZEsb6iPTmH0XxYjiTTX2W3_zc0FjyD6BG3x3DJHREcSGKHvffTr-0pw5hz653LvfLQ-poHXFt775yCVF4Ik/s1600/Screen+shot+2013-04-03+at+AM+12.18.19.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgphJv93fRoOHnmWIqUkfYEuLqwEIZBrkHNrAqW36ZPNDSV2KqGZDybAx_4ZEsb6iPTmH0XxYjiTTX2W3_zc0FjyD6BG3x3DJHREcSGKHvffTr-0pw5hz653LvfLQ-poHXFt775yCVF4Ik/s640/Screen+shot+2013-04-03+at+AM+12.18.19.png" width="603" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj2mZycE-iH_VFj9IkV40qs3tfXr-yOCSIP83Hh8OOuKe5VZElj1u0VdQ8UpsxhaFZ_13klflJTDI5FCEV0rRxONFnX4sPUUq3P9uOd-6TkmuiThHIrR6bypADi8xWrIIM8I3qNElWoq-U/s1600/Screen+shot+2013-03-14+at+AM+08.30.19.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj2mZycE-iH_VFj9IkV40qs3tfXr-yOCSIP83Hh8OOuKe5VZElj1u0VdQ8UpsxhaFZ_13klflJTDI5FCEV0rRxONFnX4sPUUq3P9uOd-6TkmuiThHIrR6bypADi8xWrIIM8I3qNElWoq-U/s640/Screen+shot+2013-03-14+at+AM+08.30.19.png" width="516" /></a></div>
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<br />Nur Joharihttp://www.blogger.com/profile/12038483883275572574noreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-11756834777977086652013-03-13T22:26:00.002+08:002013-03-13T22:26:24.013+08:00Additional Question <div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhUr55Wubdd688pI_YD4fuq9Lx6hRKRHKY4m26VNHS1URYYMC0c8zxSHjGwFtHixSpoAEnD8MawasjPK_txG0jI13egmR2HuGTw-Wqmcsy0X1IVlps3o6pPUsaJ8ji3OrXorfNfBK28eMrG/s1600/BN.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhUr55Wubdd688pI_YD4fuq9Lx6hRKRHKY4m26VNHS1URYYMC0c8zxSHjGwFtHixSpoAEnD8MawasjPK_txG0jI13egmR2HuGTw-Wqmcsy0X1IVlps3o6pPUsaJ8ji3OrXorfNfBK28eMrG/s640/BN.jpg" width="478" /></a></div>
<br />Brendanhttp://www.blogger.com/profile/10791297811402096970noreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-75813240145915250902013-03-12T08:56:00.002+08:002013-03-12T08:56:25.497+08:00Quadratic Equation (Type of Roots)<div class="separator" style="clear: both; text-align: center;">
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<br />Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-13852334461843586092013-03-12T00:23:00.000+08:002013-03-12T00:23:57.475+08:00A02 EEEEEEE question 15 (Marcellus working)15) Find the exact value of x if (3x)^1g3 = (4x)^1g4<br />
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First, I add log to both sides.<br />
<br />
lg (3x)^lg3 = lg (4x)^lg4<br />
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Then i will bring down the power<br />
<br />
(lg3)(lg 3x) = (lg4)(lg 4x)<br />
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Expand<br />
<br />
(lg3)^2+(lg3)(lgx) = (lg4)^2+(lg4)(lgx)<br />
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Change of subject<br />
<br />
(lg3)^2-(lg4)^2 = (lg4)(lgx)-(lg3)(lgx)<br />
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Factorise<br />
<br />
(lg3)^2-(lg4)^2 = (lgx)[(lg4)-(lg3)]<br />
<br />
Change the subject of equation to (lgx)<br />
<br />
lgx = [(lg3)^2-(lg4)^2]/[(lg4)-(lg3)]<br />
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Further simplify<br />
<br />
lgx = -(lg3+lg4)<br />
<br />
=-lg12<br />
<br />
Remove lg from both sides<br />
<br />
x = 12 ^(-1)<br />
x=1/12 #Chiobubear :Dhttp://www.blogger.com/profile/13202513978840340723noreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-58294874039542449722013-03-11T11:54:00.001+08:002013-03-11T14:19:24.494+08:00Math File Check (Selected Students)<span style="background-color: white; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 15px; line-height: 20px;">The following students have been randomly selected for file check by the Mathematics Department:</span><br />
<div style="background-color: white; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 15px; line-height: 20px;">
Index no 4, 7, 9, 13, 18 & 21.<br />
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Checklist:</div>
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1. Is there a content page?</div>
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2. Did I complete <b><u>all</u></b> my corrections?</div>
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Please ENSURE that your file is in order and ready <b>by 13Mar (Wed) in class</b> before your Math lesson.</div>
Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-90671007631365191342013-03-08T12:21:00.002+08:002013-03-08T12:21:17.632+08:00Reflection - Maths Level TestsThere are two <b>separate</b> reflections for Elementary Mathematics and Additional Mathematics. Please scroll down to the next two posting to complete your reflection.Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-1720354310818478012013-03-08T12:18:00.004+08:002013-03-08T12:18:45.517+08:00AM Level Test Reflection<iframe src="https://docs.google.com/spreadsheet/embeddedform?formkey=dGlPbWo2VU5OMlNLSTY4czJUVlBMbkE6MA" width="760" height="1496" frameborder="0" marginheight="0" marginwidth="0">Loading...</iframe>Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-81094893696815837582013-03-08T12:15:00.001+08:002013-03-08T12:19:19.245+08:00EM Level Test Reflection<iframe src="https://docs.google.com/spreadsheet/embeddedform?formkey=dFdJQ29RaFFrcHpfQmdSLWhJaThEQ2c6MA" width="760" height="1496" frameborder="0" marginheight="0" marginwidth="0">Loading...</iframe>Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-82386504189494168652013-03-05T08:32:00.003+08:002013-03-05T08:32:49.309+08:00Revision: Solving Quadratic Equation<br />
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Revision : Solving Quadratic Equations</h3>
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source: http://www.regentsprep.org/Regents/math<br /><br />Let us review what has been done in previous 2 years.<br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgneQtyNaJviWr4fZstfC8emr7QtUrQXSkH0mVjfHm-DxKfzthMUn8ZEdRkHn5_v-0bdIyOtF85EhLkMo28Lov9-JOsgj98dUJ9XgmwEE-Kb9xOGxOsmE831upFibgagBpunfJgmtdUN0th/s1600/Screen+shot+2013-03-03+at+PM+03.32.29.png" imageanchor="1" style="color: #7d181e; text-decoration: none;"><img border="0" height="545" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgneQtyNaJviWr4fZstfC8emr7QtUrQXSkH0mVjfHm-DxKfzthMUn8ZEdRkHn5_v-0bdIyOtF85EhLkMo28Lov9-JOsgj98dUJ9XgmwEE-Kb9xOGxOsmE831upFibgagBpunfJgmtdUN0th/s640/Screen+shot+2013-03-03+at+PM+03.32.29.png" style="-webkit-box-shadow: rgba(0, 0, 0, 0.199219) 0px 0px 20px; background-color: white; background-position: initial initial; background-repeat: initial initial; border-bottom-left-radius: 5px; border-bottom-right-radius: 5px; border-top-left-radius: 5px; border-top-right-radius: 5px; border: 1px solid rgb(204, 204, 204); box-shadow: rgba(0, 0, 0, 0.199219) 0px 0px 20px; padding: 8px; position: relative;" width="640" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhzGrFoAltK3_OpqK9R7fWZi30-4iiSg1r7T8GDUUFUsT1-rROLgLmikh43ZEYp9p_1Hb11d80_ZWDxxb_aAXrOY8yt_qXlWNsrjgwmgxvXnbA5HTV0i5i3SIhBz60jsJoNXCxrU1hy0-OG/s1600/Screen+shot+2013-03-03+at+PM+03.32.56.png" imageanchor="1" style="color: #7d181e; text-decoration: none;"><img border="0" height="577" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhzGrFoAltK3_OpqK9R7fWZi30-4iiSg1r7T8GDUUFUsT1-rROLgLmikh43ZEYp9p_1Hb11d80_ZWDxxb_aAXrOY8yt_qXlWNsrjgwmgxvXnbA5HTV0i5i3SIhBz60jsJoNXCxrU1hy0-OG/s640/Screen+shot+2013-03-03+at+PM+03.32.56.png" style="-webkit-box-shadow: rgba(0, 0, 0, 0.199219) 0px 0px 20px; background-color: white; background-position: initial initial; background-repeat: initial initial; border-bottom-left-radius: 5px; border-bottom-right-radius: 5px; border-top-left-radius: 5px; border-top-right-radius: 5px; border: 1px solid rgb(204, 204, 204); box-shadow: rgba(0, 0, 0, 0.199219) 0px 0px 20px; padding: 8px; position: relative;" width="640" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgs6ipkNxyp9AMMPJBX29guVA4Z0HX9qbIMbuYdRu3GL9qaBKx6nORccdBy-Bzd7xHF9gQPJZq3sAcpotL2B2LV-4LoAoCdN1IKOxuiow5SaBcaZ-TSfhH7Gf83vuZ8SKFfJZNASBFsWfMn/s1600/Screen+shot+2013-03-03+at+PM+03.33.10.png" imageanchor="1" style="color: #7d181e; text-decoration: none;"><img border="0" height="590" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgs6ipkNxyp9AMMPJBX29guVA4Z0HX9qbIMbuYdRu3GL9qaBKx6nORccdBy-Bzd7xHF9gQPJZq3sAcpotL2B2LV-4LoAoCdN1IKOxuiow5SaBcaZ-TSfhH7Gf83vuZ8SKFfJZNASBFsWfMn/s640/Screen+shot+2013-03-03+at+PM+03.33.10.png" style="-webkit-box-shadow: rgba(0, 0, 0, 0.199219) 0px 0px 20px; background-color: white; background-position: initial initial; background-repeat: initial initial; border-bottom-left-radius: 5px; border-bottom-right-radius: 5px; border-top-left-radius: 5px; border-top-right-radius: 5px; border: 1px solid rgb(204, 204, 204); box-shadow: rgba(0, 0, 0, 0.199219) 0px 0px 20px; padding: 8px; position: relative;" width="640" /></a></div>
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Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-3748796220013635362013-03-01T09:00:00.002+08:002013-03-01T09:00:26.452+08:00Math File Check<br />
Please bring your Math file to class by 4Mar. You should have completed the filing and corrections.<br />
Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-26509493187527062012013-02-19T20:16:00.001+08:002013-02-19T20:16:56.647+08:00Indices HW A02A Q6GORIGINAL Question:<br />
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ADJUSTED Question:<br />
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<br />Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-66236137334802870282013-02-19T19:10:00.001+08:002013-02-19T19:10:21.238+08:00Alternative method for Q25(b) Pg123 SurdsAll roads lead to Rome. Which road do you prefer to take?<br />
<br />
Alternative road (be careful of the change of sign when you apply the brackets):<br />
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<br />
Road taken in class today:<br />
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<br />Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-1022372222424125969.post-87002309359852449812013-02-19T11:42:00.000+08:002013-02-19T11:42:14.151+08:00A02A 6.g) answer(2t+3)/3(t+1)^4/3Joshua Tanhttp://www.blogger.com/profile/08282547486445605917noreply@blogger.com0