tag:blogger.com,1999:blog-62600341822901085302024-03-20T14:42:34.763+08:002014 S3-04 Maths BlogAnonymoushttp://www.blogger.com/profile/13371170834298027653noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-6260034182290108530.post-38882388085223221922014-02-04T09:50:00.001+08:002014-02-04T09:50:10.203+08:00T1W4 Quiz 3<div class="separator" style="clear: both; text-align: center;">
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<br />Anonymoushttp://www.blogger.com/profile/13371170834298027653noreply@blogger.com0tag:blogger.com,1999:blog-6260034182290108530.post-27752360283083249852014-01-10T08:46:00.002+08:002014-01-10T08:46:48.572+08:00Quadratic Equations and Inequalities (Part 1)
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<span style="font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white;">The<span class="apple-converted-space"> </span>Gateway Arch<span class="apple-converted-space"> </span>is a
630-foot (192 m) high monument in<span class="apple-converted-space"> </span></span><span style="background-color: white; color: black;">St. Louis</span><span style="background-color: white;">, in the<span class="apple-converted-space"> </span></span><span style="background-color: white; color: black;">U.S. state</span><span class="apple-converted-space"><span style="background-color: white;"> </span></span><span style="background-color: white;">of<span class="apple-converted-space"> </span></span><span style="background-color: white; color: black;">Missouri</span><span style="background-color: white;">.<span class="apple-converted-space"> </span>Built as a monument to the<span class="apple-converted-space"> </span></span><span style="background-color: white; color: black;">westward expansion of the United States</span><span style="background-color: white;">, it is the centerpiece of
the<span class="apple-converted-space"> </span></span><span style="background-color: white; color: black;">Jefferson National Expansion Memorial</span><span class="apple-converted-space"><span style="background-color: white;"> </span></span><span style="background-color: white;">and has become an internationally famous symbol of St. Louis. </span></span></div>
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<br /></div>
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<b><span style="background-color: white;"><span style="font-family: Arial, Helvetica, sans-serif;">Essential Questions<o:p></o:p></span></span></b></div>
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif;">1 <span style="line-height: normal;"> </span><!--[endif]--><span style="background-color: white;">What makes a parabolic curve
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<!--[if !supportLists]--><span style="font-family: Arial, Helvetica, sans-serif;">2 <span style="background-color: white;">Do you think the above
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<br /></div>
<!--EndFragment-->Anonymoushttp://www.blogger.com/profile/13371170834298027653noreply@blogger.com0tag:blogger.com,1999:blog-6260034182290108530.post-47243562242746218082014-01-10T08:35:00.001+08:002014-01-10T08:35:41.570+08:00What is a Function<br />
<h1 align="center" style="color: #003399; font-family: Verdana, Arial, Tahoma, sans-serif; font-size: 23px; font-weight: normal; line-height: 29px; margin: 7px 0px 20px;">
What is a Function?</h1>
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<span class="larger" style="color: #000088; font-size: 17px;">A function relates an input to an output.</span></div>
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<tr><td style="line-height: 22px;" width="11%"><img src="http://www.mathsisfun.com/sets/images/function-cogs.gif" height="104" width="150" /></td><td style="line-height: 22px;" width="89%"><div style="line-height: 23px; margin-bottom: 20px; margin-top: 20px;">
It is like a machine that has an input and an output.</div>
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And the output is related somehow to the input.</div>
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<tr><td class="huge" style="border: 2px solid white; font-size: 35px; font-weight: bold; line-height: 22px; padding: 4px;"> f(x) </td><td style="border: 2px solid white; font-size: 15px; line-height: 22px; padding: 4px;"><div style="line-height: 23px; margin-bottom: 20px; margin-top: 20px;">
"<b>f(x) = ... </b>" is the classic way of writing a function.<br />
And there are other ways, as you will see!</div>
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First, it is useful to give a function a <b>name</b>.</div>
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The most common name is "<i><b>f</b></i>", but you can have other names like "<i><b>g</b></i>" ... or even "<i><b>marmalade</b></i>" if you want.</div>
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But let's use "f":</div>
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<img alt="f(x)" src="http://www.mathsisfun.com/sets/images/function-fx-x2.gif" height="94" width="362" /></div>
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You would say <i>"f of x equals x squared"</i></div>
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what goes <b>into</b> the function is put inside parentheses () after the name of the function:</div>
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So <b><i>f(x)</i></b> shows you the function is called "<b><i>f</i></b>", and "<b><i>x</i></b>" goes <b>in</b></div>
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And you will often see what a function does with the input:</div>
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<b><i>f(x) = x<sup>2</sup></i><sup></sup> </b>shows you that function "<i><b>f</b></i>" takes "<i><b>x</b></i>" and squares it.</div>
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<br /></div>
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Example: with <b>f(x) = x<sup>2</sup></b>:</div>
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<li style="list-style-type: disc; padding: 0px 0px 3px; text-indent: -15px;">an input of 4</li>
<li style="list-style-type: disc; padding: 0px 0px 3px; text-indent: -15px;">becomes an output of 16.</li>
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In fact we can write<b> f(4) = 16</b>.</div>
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<span style="background-color: #f0f0ff;">Example: this tree grows 20 cm every year, so the height of the tree is</span><span style="background-color: #f0f0ff;"> </span><i><b>related</b></i><span style="background-color: #f0f0ff;"> </span><span style="background-color: #f0f0ff;">to its age using the function</span><span style="background-color: #f0f0ff;"> </span><i><b>h</b></i><span style="background-color: #f0f0ff;">:</span></div>
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<b><i>h</i>(age) = age × 20</b></div>
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So, if the age is 10 years, the height is:</div>
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<span class="style1" style="font-weight: bold;"><i>h</i>(10) = 10 × 20 = 200 cm</span></div>
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Here are some example values:</div>
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<tr><th align="center" width="50">age</th><th align="center" width="150"><b><i>h</i>(age) = age × 20</b></th></tr>
<tr><td align="center" style="font-size: 15px; line-height: 22px;" width="50">0</td><td align="center" style="font-size: 15px; line-height: 22px;" width="150">0</td></tr>
<tr><td align="center" style="font-size: 15px; line-height: 22px;" width="50">1</td><td align="center" style="font-size: 15px; line-height: 22px;" width="150">20</td></tr>
<tr><td align="center" style="font-size: 15px; line-height: 22px;">3.2</td><td align="center" style="font-size: 15px; line-height: 22px;">64</td></tr>
<tr><td align="center" style="font-size: 15px; line-height: 22px;" width="50">15</td><td align="center" style="font-size: 15px; line-height: 22px;" width="150">300</td></tr>
<tr><td align="center" style="font-size: 15px; line-height: 22px;" width="50">...</td><td align="center" style="font-size: 15px; line-height: 22px;" width="150">...</td></tr>
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<br /></div>
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<h2 style="color: #993300; font-family: qarmic, Verdana, sans-serif; font-size: 20px; font-weight: normal; margin: 45px 0px 6px;">
A Function is Special</h2>
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But a function has <b>special rules</b>:</div>
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<li style="list-style-type: disc; padding: 0px 0px 3px; text-indent: -15px;">It must work for <b>every</b> possible input value</li>
<li style="list-style-type: disc; padding: 0px 0px 3px; text-indent: -15px;">And you can only have <b>one relationship</b> for each input value</li>
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This can be said in one definition:</div>
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<tr><td style="line-height: 22px;" width="27%"><img src="http://www.mathsisfun.com/sets/images/function-sets.gif" height="165" width="250" /></td><td align="center" style="line-height: 22px;" width="73%"><h2 style="color: #993300; font-family: qarmic, Verdana, sans-serif; font-size: 20px; font-weight: normal; margin: 45px 0px 6px;">
Formal Definition of a Function</h2>
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A function relates <b>each element</b> of a set<br />
with <b>exactly one</b> element of another set<br />
(possibly the same set).</div>
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<h2 style="color: #993300; font-family: qarmic, Verdana, sans-serif; font-size: 20px; font-weight: normal; margin: 45px 0px 6px;">
The Two Important Things!</h2>
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1.</div>
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<span class="larger" style="color: #000088; font-size: 17px;">"...each element..."</span> means that every element in <b>X</b> is related to some element in <b>Y</b>.</div>
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We say that the function <i><b>covers</b></i> <b>X</b> (relates every element of it).</div>
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(But some elements of <b>Y</b> might not be related to at all, which is fine.)</div>
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2.</div>
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<span class="larger" style="color: #000088; font-size: 17px;">"...exactly one..."</span> means that a function is <i><b>single valued</b></i>. It will not give back 2 or more results for the same input.</div>
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So "f(2) = 7 <b>or</b> 9" is not right!</div>
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<tr align="center"><td style="line-height: 22px;"><img alt="function" src="http://www.mathsisfun.com/sets/images/function-sets-1-2.gif" height="119" width="175" /></td><td style="line-height: 22px;" width="40"></td><td style="line-height: 22px;"><img alt="function" src="http://www.mathsisfun.com/sets/images/function-sets-2-1.gif" height="126" width="203" /></td></tr>
<tr align="center"><td style="line-height: 22px;">(one-to-many)</td><td style="line-height: 22px;"></td><td style="line-height: 22px;">(many-to-one)</td></tr>
<tr align="center"><td style="line-height: 22px;">This is <b>NOT</b> OK in a function</td><td style="line-height: 22px;" width="40"></td><td style="line-height: 22px;">But this <b>is</b> OK in a function</td></tr>
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If a relationship does not follow those two rules then it is <b>not a function</b> ... it would still be a relationship, just not a function.</div>
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Example: The relationship x → x<sup>2</sup></h3>
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<img alt="function " src="http://www.mathsisfun.com/sets/images/function-sets-x2.gif" height="161" width="253" /></div>
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Could also be written as a table:</div>
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<div align="center">
<table align="center" border="1"><tbody>
<tr><th align="center">X: x</th><th align="center">Y: x<sup>2</sup></th></tr>
<tr><td align="center" style="font-size: 15px; line-height: 22px;">3</td><td align="center" style="font-size: 15px; line-height: 22px;">9</td></tr>
<tr><td align="center" style="font-size: 15px; line-height: 22px;">1</td><td align="center" style="font-size: 15px; line-height: 22px;">1</td></tr>
<tr><td align="center" style="font-size: 15px; line-height: 22px;">0</td><td align="center" style="font-size: 15px; line-height: 22px;">0</td></tr>
<tr><td align="center" style="font-size: 15px; line-height: 22px;">4</td><td align="center" style="font-size: 15px; line-height: 22px;">16</td></tr>
<tr><td align="center" style="font-size: 15px; line-height: 22px;">-4</td><td align="center" style="font-size: 15px; line-height: 22px;">16</td></tr>
<tr><td align="center" style="font-size: 15px; line-height: 22px;">...</td><td align="center" style="font-size: 15px; line-height: 22px;">...</td></tr>
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<b>It is a function</b>, because:</div>
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<li style="list-style-type: disc; padding: 0px 0px 3px; text-indent: -15px;">Every element in X is related to Y</li>
<li style="list-style-type: disc; padding: 0px 0px 3px; text-indent: -15px;">No element in X has two or more relationships</li>
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So it follows the rules.</div>
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(Notice how both <b>4</b> and <b>-4</b> relate to <b>16</b>, which is allowed.)</div>
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Example: This relationship is <b>not</b> a function:</h3>
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<img alt="function " src="http://www.mathsisfun.com/sets/images/relation-not-function.gif" height="160" width="251" /></div>
<div style="background-color: #f0f0ff; margin-left: -8px; margin-top: -8px; padding: 8px 4px 14px 15px;">
It is a <b>relationship</b>, but it is <b>not a function</b>, for these reasons:</div>
<ul style="background-color: #f0f0ff; color: #0000aa; list-style-position: inside; margin: -8px 0px 0px -8px; padding: 4px 4px 12px 45px;">
<li style="list-style-type: disc; padding: 0px 0px 3px; text-indent: -15px;">Value "3" in X has no relation in Y</li>
<li style="list-style-type: disc; padding: 0px 0px 3px; text-indent: -15px;">Value "4" in X has no relation in Y</li>
<li style="list-style-type: disc; padding: 0px 0px 3px; text-indent: -15px;">Value "5" is related to more than one value in Y</li>
</ul>
<div style="background-color: #f0f0ff; margin-left: -8px; margin-top: -8px; padding: 8px 4px 14px 15px;">
(But the fact that "6" in Y is not related to does not matter)</div>
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<table border="0" style="color: black; font-size: 15px; line-height: 23px; text-align: left;"><tbody>
<tr><td style="line-height: 22px;"><img alt="not single valued" src="http://www.mathsisfun.com/sets/images/vertical-line-test.gif" height="186" width="263" /></td><td style="line-height: 22px;"><h2 style="color: #993300; font-family: qarmic, Verdana, sans-serif; font-size: 20px; font-weight: normal; margin: 45px 0px 6px;">
Vertical Line Test</h2>
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On a graph, the idea of <b>single valued</b> means that no vertical line would ever cross more than one value.</div>
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If it <b>crosses more than once</b> it is still a valid curve, but it would <b>not be a function</b>.</div>
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<br /></div>
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<h2 style="color: #993300; font-family: qarmic, Verdana, sans-serif; font-size: 20px; font-weight: normal; line-height: 23px; margin: 45px 0px 6px; text-align: left;">
Ordered Pairs</h2>
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I said I would show you many ways to think about functions, and here is another way:</div>
<div class="center larger" style="color: #000088; font-family: Verdana, Arial, Tahoma, sans-serif; font-size: 17px; line-height: 23px; margin-bottom: 20px; margin-top: 20px; text-align: center;">
You can write the input and output of a function as an "ordered pair", such as (4,16).</div>
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They are called <b>ordered</b> pairs because the input always comes first, and the output second:</div>
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<span class="larger" style="color: #000088; font-size: 17px;">(input, output)</span></div>
<div style="font-family: Verdana, Arial, Tahoma, sans-serif; font-size: 15px; line-height: 23px; margin-bottom: 20px; margin-top: 20px; text-align: left;">
So it looks like this:</div>
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<span class="larger" style="color: #000088; font-size: 17px;">( <b>x</b>, <b>f(x)</b> )</span></div>
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Example:</div>
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<b>(4,16)</b> means that the function takes in "4" and gives out "16"</div>
</div>
<h3 style="color: #6600cc; font-family: Verdana, Arial, Tahoma, sans-serif; font-size: 18px; font-weight: normal; line-height: 23px; margin: 22px 0px 9px; text-align: left;">
Set of Ordered Pairs</h3>
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A function can then be defined as a <b>set </b>of ordered pairs:</div>
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<div style="background-color: #f0f0ff; margin-left: -8px; margin-top: -8px; padding: 8px 4px 14px 15px;">
Example: <b>{(2,4), (3,5), (7,3)} </b>is a function that says</div>
<div align="center" style="background-color: #f0f0ff; margin-left: -8px; margin-top: -8px; padding: 8px 4px 14px 15px;">
"2 is related to 4", "3 is related to 5" and "7 is related 3".</div>
<div style="background-color: #f0f0ff; margin-left: -8px; margin-top: -8px; padding: 8px 4px 14px 15px;">
Also, notice that:</div>
<ul style="background-color: #f0f0ff; color: #0000aa; list-style-position: inside; margin: -8px 0px 0px -8px; padding: 4px 4px 12px 45px;">
<li style="list-style-type: disc; padding: 0px 0px 3px; text-indent: -15px;">the domain is <b>{2,3,7}</b> (the input values)</li>
<li style="list-style-type: disc; padding: 0px 0px 3px; text-indent: -15px;">and the range is <b>{4,5,3}</b> (the output values)</li>
</ul>
<div>
<span style="color: #0000aa;"><br /></span></div>
<div>
<h2 style="color: #993300; font-family: qarmic, Verdana, sans-serif; font-size: 20px; font-weight: normal; margin: 45px 0px 6px;">
Conclusion</h2>
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<ul style="color: #0000aa; font-size: 17px; list-style-position: inside;">
<li style="list-style-type: disc; margin: 14px 0px 0px 6px; padding: 2px 2px 2px 6px; text-indent: -15px;">a function <b>relates</b> inputs to outputs</li>
<li style="list-style-type: disc; margin: 14px 0px 0px 6px; padding: 2px 2px 2px 6px; text-indent: -15px;">a function takes elements from a set (the <b>domain</b>) and relates them to elements in a set (the <b>codomain</b>).</li>
<li style="list-style-type: disc; margin: 14px 0px 0px 6px; padding: 2px 2px 2px 6px; text-indent: -15px;">all the outputs (the actual values related to) are together called the <b>range</b></li>
<li style="list-style-type: disc; margin: 14px 0px 0px 6px; padding: 2px 2px 2px 6px; text-indent: -15px;">a function is a <b>special </b>type of relation where:<ul style="list-style-position: inside;">
<li style="list-style-type: disc; margin: 14px 0px 0px 6px; padding: 2px 2px 2px 6px;"><b>every element</b> in the domain is included, and</li>
<li style="list-style-type: disc; margin: 14px 0px 0px 6px; padding: 2px 2px 2px 6px;">any input produces <b>only one output</b> (not this <b>or</b> that)</li>
</ul>
</li>
<li style="list-style-type: disc; margin: 14px 0px 0px 6px; padding: 2px 2px 2px 6px; text-indent: -15px;">an input and its matching output are together called an <b>ordered pair</b></li>
<li style="list-style-type: disc; margin: 14px 0px 0px 6px; padding: 2px 2px 2px 6px; text-indent: -15px;">so a function can also be seen as a <b>set of ordered pairs</b></li>
</ul>
</div>
</div>
</div>
Anonymoushttp://www.blogger.com/profile/13371170834298027653noreply@blogger.com0tag:blogger.com,1999:blog-6260034182290108530.post-11103484145228538682014-01-07T09:41:00.001+08:002014-01-07T09:41:12.204+08:00The Vending Machine Analogy<br />
<span style="background-color: #fefdfa; color: #333333; font-family: Arial, Helvetica, sans-serif;">A function has </span><b style="background-color: #fefdfa; color: #333333; font-family: Arial, Helvetica, sans-serif;"><span class="Apple-style-span" style="color: red;">input</span></b><span style="background-color: #fefdfa; color: #333333; font-family: Arial, Helvetica, sans-serif;"> and </span><span class="Apple-style-span" style="background-color: #fefdfa; color: blue; font-family: Arial, Helvetica, sans-serif;"><b>output</b></span><span style="background-color: #fefdfa; color: #333333; font-family: Arial, Helvetica, sans-serif;">. A good analogy of this would</span><br />
<h3 style="background-color: #fefdfa; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; margin: 0px; position: relative;">
<span class="Apple-style-span" style="font-weight: normal;"><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif; font-size: small;">be a vending machine.</span></span></h3>
<h3 style="background-color: #fefdfa; color: #333333; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; margin: 0px; position: relative;">
<ol>
<li style="margin: 0px 0px 0.25em; padding: 0px;"><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif; font-size: small; font-weight: normal;">Explain further why this analogy is used to depict a function?</span></li>
<li style="margin: 0px 0px 0.25em; padding: 0px;"><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif; font-size: small; font-weight: normal;">Can you think of other analogy?</span></li>
<li style="margin: 0px 0px 0.25em; padding: 0px;"><span class="Apple-style-span" style="font-family: Arial, Helvetica, sans-serif; font-size: small; font-weight: normal;">What are the assumptions made?</span></li>
</ol>
</h3>
Anonymoushttp://www.blogger.com/profile/13371170834298027653noreply@blogger.com21tag:blogger.com,1999:blog-6260034182290108530.post-90777014038148109522014-01-07T09:28:00.001+08:002014-01-07T09:28:45.210+08:00Function and relation<span style="background-color: white; color: #222222; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18px;">1. If you say 2, I'll say 11. If you say 7, I'll say 26. Can you determine why I say what I say?</span><br style="background-color: white; color: #222222; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18px;" /><br style="background-color: white; color: #222222; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18px;" /><span style="background-color: white; color: #222222; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18px;">2. If you say 2, I'll say (-3). If you say 7, I'll say 7. Can you determine why I say what I say?</span><br style="background-color: white; color: #222222; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18px;" /><br style="background-color: white; color: #222222; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18px;" /><span style="background-color: white; color: #222222; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18px;">3. If you say 2, I'll say 3. If you say 7, I''ll say 21. Can you determine why I say what I say?</span>Anonymoushttp://www.blogger.com/profile/13371170834298027653noreply@blogger.com0tag:blogger.com,1999:blog-6260034182290108530.post-13042175759284238342014-01-07T09:19:00.001+08:002014-01-07T09:19:56.516+08:00Materials<br />
<div style="background-color: white; color: #222222; direction: ltr; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18px; margin-bottom: 0pt; margin-left: 0.5in; margin-top: 14.4pt; text-align: left; text-indent: -0.5in; unicode-bidi: embed; vertical-align: baseline;">
1. <span style="font-family: Arial;">Maths</span><span style="font-family: Arial;"> notes (given by school)</span></div>
<div style="background-color: white; color: #222222; direction: ltr; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18px; margin-bottom: 0pt; margin-left: 0.5in; margin-top: 14.4pt; text-align: left; text-indent: -0.5in; unicode-bidi: embed; vertical-align: baseline;">
2. <span style="font-family: Arial;">Maths</span><span style="font-family: Arial;"> Exercise book (for note taking and class discussion)</span></div>
<div style="background-color: white; color: #222222; direction: ltr; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18px; margin-bottom: 0pt; margin-left: 0.5in; margin-top: 14.4pt; text-align: left; text-indent: -0.5in; unicode-bidi: embed; vertical-align: baseline;">
3. <span style="font-family: Arial;">Calculator</span></div>
<div style="background-color: white; color: #222222; direction: ltr; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18px; margin-bottom: 0pt; margin-left: 0.5in; margin-top: 14.4pt; text-align: left; text-indent: -0.5in; unicode-bidi: embed; vertical-align: baseline;">
4. <span style="font-family: Arial;">Writing materials (Pens & Pencils) + Ruler</span></div>
<div style="background-color: white; color: #222222; direction: ltr; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18px; margin-bottom: 0pt; margin-left: 0.5in; margin-top: 14.4pt; text-align: left; text-indent: -0.5in; unicode-bidi: embed; vertical-align: baseline;">
5. <span style="font-family: Arial;">Learning Device</span></div>
<div style="background-color: white; color: #222222; direction: ltr; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18px; margin-bottom: 0pt; margin-left: 0in; margin-top: 14.4pt; text-align: left; text-indent: 0in; unicode-bidi: embed; vertical-align: baseline;">
<span style="font-family: Arial;">Others:</span></div>
<div style="background-color: white; color: #222222; direction: ltr; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18px; margin-bottom: 0pt; margin-left: 0.5in; margin-top: 14.4pt; text-align: left; text-indent: -0.5in; unicode-bidi: embed; vertical-align: baseline;">
1. <span style="font-family: Arial;">Textbook is optional</span></div>
<div style="background-color: white; color: #222222; direction: ltr; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18px; margin-bottom: 0pt; margin-left: 0.5in; margin-top: 14.4pt; text-align: left; text-indent: -0.5in; unicode-bidi: embed; vertical-align: baseline;">
2. <span style="font-family: Arial;">Maths</span><span style="font-family: Arial;"> file (orange)</span></div>
<div style="background-color: white; color: #222222; direction: ltr; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 18px; margin-bottom: 0pt; margin-left: 0.5in; margin-top: 14.4pt; text-align: left; text-indent: -0.5in; unicode-bidi: embed; vertical-align: baseline;">
3. <span style="font-family: Arial;">Remedial (Every Monday 3 pm to 4 pm)</span></div>
Anonymoushttp://www.blogger.com/profile/13371170834298027653noreply@blogger.com0