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      <title>A Level Mathematics  by Imtiyaz Ahmed</title>
      <link>https://padlet.com/imtiaz8411/md7zjv0x255h2zzk</link>
      <description>International A Level Mathematics 
Pure Maths, Statistics &amp; Probability</description>
      <language>en-us</language>
      <pubDate>2021-06-10 04:46:09 UTC</pubDate>
      <lastBuildDate>2026-02-23 01:11:59 UTC</lastBuildDate>
      <webMaster>hello@padlet.com</webMaster>
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         <title>IAL_9709 [8th July, 2021]</title>
         <author>imtiaz8411</author>
         <link>https://padlet.com/imtiaz8411/md7zjv0x255h2zzk/wish/1641399768</link>
         <description><![CDATA[<div><strong>Probability: Dependent &amp; Independent Events</strong></div><ul><li><a href="http://www.s253053503.websitehome.co.uk/msv/msv-23.html"><strong>Extension activity</strong>: Balls in a box, involving probabilities and tree diagrams</a></li><li><a href="https://www.youtube.com/watch?v=Xqfcy1rqMbI">Examples of calculating probabilities using combinations</a></li></ul><div>Review: Example 3.6, 3.7 and Ex_3B<br>Tools: <a href="https://jamboard.google.com/d/1tyDrW_8cDGd3h_a_CRbcgUYu7NsuzJI4DesiRFo5Ij8/edit?usp=sharing">Jam Board</a></div><div><br><br></div>]]></description>
         <pubDate>2021-07-08 04:41:47 UTC</pubDate>
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         <title>📹IAL_9709</title>
         <author>imtiaz8411</author>
         <link>https://padlet.com/imtiaz8411/md7zjv0x255h2zzk/wish/1641632114</link>
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         <pubDate>2021-07-08 07:50:20 UTC</pubDate>
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         <title>IAL_1_9709 [11th July, 2021]</title>
         <author>imtiaz8411</author>
         <link>https://padlet.com/imtiaz8411/md7zjv0x255h2zzk/wish/1644415887</link>
         <description><![CDATA[<div><strong>Calculate and use conditional probabilities in simple cases, e.g. situations that can be represented by a sample space of equiprobable elementary events, or a tree diagram.<br></strong><strong><mark>Activity 1:</mark></strong><strong>&nbsp; </strong><a href="https://www.khanacademy.org/math/statistics-probability/probability-library/conditional-probability-independence/a/conditional-probability-using-two-way-tables"><strong>Conditional probability using two-way tables</strong></a></div><div><strong><mark>Activity 1:</mark></strong><strong> </strong><a href="https://www.khanacademy.org/math/statistics-probability/probability-library/conditional-probability-independence/v/conditional-probability2">Conditional probability explained visually</a><br><br><strong>Review:</strong></div><ol><li><a href="https://www.khanacademy.org/math/statistics-probability/probability-library/basic-theoretical-probability/e/probability_1?modal=1"><strong>Practice 1</strong></a></li><li><a href="https://www.khanacademy.org/math/statistics-probability/probability-library/basic-theoretical-probability/e/understanding-probability?modal=1"><strong style="background-color: highlight;">Practice 2</strong></a></li></ol>]]></description>
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         <pubDate>2021-07-11 07:41:39 UTC</pubDate>
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         <title>IAL_9709 [13th &amp; 14th July, 2021]</title>
         <author>imtiaz8411</author>
         <link>https://padlet.com/imtiaz8411/md7zjv0x255h2zzk/wish/1647182070</link>
         <description><![CDATA[<div><strong><mark>Representation of data<br></mark></strong><strong>Select a suitable way of presenting raw statistical data, and discuss advantages and/or disadvantages that particular representations may have</strong></div><ol><li><a href="https://www.khanacademy.org/math/statistics-probability/analyzing-categorical-data/one-categorical-variable/v/identifying-individuals-variables-and-categorical-variables-in-a-data-set"><strong>Analyzing one categorical variable</strong></a></li><li><a href="https://www.khanacademy.org/math/statistics-probability/analyzing-categorical-data/two-way-tables-for-categorical-data/v/two-way-frequency-tables-and-venn-diagrams"><strong>Two-way tables</strong></a></li><li><a href="https://www.mathsisfun.com/data/stem-leaf-plots.html"><strong>Stem and Leaf Plots</strong></a></li><li><a href="https://jamboard.google.com/d/1Ba8uD5mbDVepHnbdpui2ZpvjA0p5myIDZqsSvT7etcI/edit?usp=sharing">Jam Board</a></li></ol><div><strong>Review:</strong></div><ul><li><a href="https://www.khanacademy.org/math/statistics-probability/analyzing-categorical-data/one-categorical-variable/e/individuals-variables-categorical-quantitative-data?modal=1"><strong>Individuals, variables, and categorical &amp; quantitative data</strong></a></li><li><a href="https://www.khanacademy.org/math/statistics-probability/analyzing-categorical-data/one-categorical-variable/e/creating_bar_charts_1?modal=1"><strong>Create bar graphs</strong></a></li></ul><div><br></div>]]></description>
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         <pubDate>2021-07-13 05:08:18 UTC</pubDate>
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         <title>Functions</title>
         <author>imtiaz8411</author>
         <link>https://padlet.com/imtiaz8411/md7zjv0x255h2zzk/wish/1690187923</link>
         <description><![CDATA[<div>Understand the terms function, domain, range, one-one function, inverse function and composition of functions<br><a href="https://www.intmath.com/functions-and-graphs/1-introduction-to-functions.php">Introduction</a><br><a href="https://youtu.be/g1FqhHpnBdw">What is a Function? </a><br><a href="https://byjus.com/jee/functions-and-its-types/"><mark>Type of Functions</mark></a><br><a href="https://www.mathsisfun.com/sets/functions-operations.html">Operations with Functions</a></div><div><a href="https://www.mathsisfun.com/sets/functions-composition.html">Composition Functions</a><br><a href="https://www.mathsisfun.com/sets/function-inverse.html">Inverse Functions</a><br><a href="https://byjus.com/maths/inverse-functions/">Inverse Function 1</a></div><h1><a href="https://www.khanacademy.org/math/algebra-home/alg-functions/alg-finding-inverse-functions/a/finding-inverse-functions">Finding inverse functions</a></h1><div><br><br><br><mark>Review<br></mark><a href="https://www.mathopolis.com/questions/q.html?id=1193&amp;t=mif&amp;qs=1193_1194_2459_2460_8461_559_560_2461_2462_8462&amp;site=1&amp;ref=2f736574732f66756e6374696f6e732d6f7065726174696f6e732e68746d6c&amp;title=4f7065726174696f6e7320776974682046756e6374696f6e73">Practice 1</a><br><a href="https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:evaluating-functions/e/functions_1">Practice 2 - Khan Academy</a></div><h1><a href="https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:evaluating-functions/e/functions_2">Evaluate function expressions</a></h1><div><a href="https://www.mathopolis.com/questions/q.html?id=565&amp;t=mif&amp;qs=565_566_1197_1198_2357_8417_1199_1200_2358_8418&amp;site=1&amp;ref=2f736574732f66756e6374696f6e2d696e76657273652e68746d6c&amp;title=496e76657273652046756e6374696f6e73">Practice Questions 3_ Inverse Functions</a></div><div><br><strong><mark><sup>Illustrate in graphical terms the relation between a one-one function and its inverse;&nbsp; sketches should include an indication of the mirror line </sup></mark></strong><strong><em><mark><sup>y</sup></mark></em></strong><strong><mark><sup> = </sup></mark></strong><strong><em><mark><sup>x<br></sup></mark></em></strong>Understand and use the transformations of the graph of <br><em>y</em> = f(<em>x</em>) given by <br><em>y</em> = f(<em>x</em>) + <em>a</em>, <em>y</em> = f(<em>x</em> + <em>a</em>),<br><em>y</em> = <em>a</em>f(<em>x</em>), <em>y</em> = f(<em>ax</em>) and simple combinations of these; including use of the terms ‘translation’, ‘reflection’ and ‘stretch’ in describing transformations;&nbsp; questions may involve algebraic or trigonometric functions, or other graphs with given features.<br><a href="https://www.youtube.com/watch?v=zxaT8ArCKjQ">Absolute Value </a><br><a href="https://www.khanacademy.org/math/algebra-home/alg-absolute-value/alg-absolute-value-equations/v/absolute-value-equations">Modulus &amp; it's Graphs</a><br><strong><em><mark><sup><br><br></sup></mark></em></strong><a href="https://edpuzzle.com/assignments/6135879d18ca004146f5d3cc/watch"><strong><em><mark><sup>EDpuzzle 1</sup></mark></em></strong></a><strong><em><mark><sup><br></sup></mark></em></strong><a href="https://edpuzzle.com/assignments/6135867143d81f414dd18192/watch"><strong><em><mark><sup>Edpuzzle 2</sup></mark></em></strong></a><strong><mark><sup><br></sup></mark></strong><br></div><div><br><br><br><br></div>]]></description>
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         <pubDate>2021-08-23 02:47:18 UTC</pubDate>
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         <title>Transformation of Functions</title>
         <author>imtiaz8411</author>
         <link>https://padlet.com/imtiaz8411/md7zjv0x255h2zzk/wish/1706055887</link>
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         <pubDate>2021-08-31 03:15:24 UTC</pubDate>
         <guid>https://padlet.com/imtiaz8411/md7zjv0x255h2zzk/wish/1706055887</guid>
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      <item>
         <title>Pure Maths 1 - Trigonometry</title>
         <author>imtiaz8411</author>
         <link>https://padlet.com/imtiaz8411/md7zjv0x255h2zzk/wish/1843765142</link>
         <description><![CDATA[<ul><li>Use the exact values of the sine, cosine and tangent of 30°, 45°, 60°, and related angles.</li><li>Use the identities&nbsp; and , e.g. in proving identities, simplifying expressions and solving equations</li></ul><div><br><strong>Properties of the graphs of y=sin x, y=cos x&nbsp; , y=tan x , </strong><strong><em>x</em></strong><strong> in degrees<br>Learning Objectives along with learning activities<br></strong><a href="https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func#xfefa5515:amplitude-midline-and-period"><strong>Trigonometric Function [Graphs]</strong></a></div><ul><li><a href="https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/xfefa5515:amplitude-midline-and-period/v/midline-amplitude-period"><strong>Amplitude, midline, and period</strong></a></li><li><a href="https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/graphs-of-sine-cosine-tangent/v/we-graph-domain-and-range-of-sine-function"><strong>Graphs of sin(x), cos(x), and tan(x)</strong></a></li><li><a href="https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/xfefa5515:transforming-sinusoidal-graphs/v/we-amplitude-and-period"><strong>Transforming sinusoidal graphs</strong></a></li></ul><h1><a href="https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/xfefa5515:amplitude-midline-and-period/a/midline-amplitude-and-period-review"><strong>Midline, amplitude, and period review</strong></a></h1><div>Review the basic features of sinusoidal functions: midline, amplitude, and period.</div><div><br>Find all the solutions of simple trigonometrical equations lying in a specified interval (general forms of solution are not included),</div><div>e.g. solve 3 sin 2<em>x</em> + 1 = 0&nbsp; <br> for&nbsp; ‒π &lt; <em>x</em> &lt; π,<br> 3 sin<sup>2</sup><em>θ </em>‒ 5 cos<em>θ </em>– 1<em> </em>=0<br>Use the notations sin<sup>-1</sup>x, cos<sup>-1</sup>x,&nbsp; tan<sup>-1</sup>x to denote the principal values of the inverse trigonometric relations; no specialised knowledge of these functions is required, but understanding of them as examples of inverse functions is expected.</div><div><br><strong>Feedback:<br></strong><a href="https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/xfefa5515:transforming-sinusoidal-graphs/e/find-amplitude-of-a-sinusoid-from-formula?modal=1"><strong>Practice 1</strong></a><br><a href="https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/xfefa5515:transforming-sinusoidal-graphs/e/find-midline-of-a-sinusoid-from-formula?modal=1"><strong>Practice 2</strong></a><br><a href="https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/xfefa5515:transforming-sinusoidal-graphs/e/find-period-of-a-sinusoid-from-formula?modal=1">Practice 3</a><br><br>Teaching Tools:</div><ul><li><a href="https://www.desmos.com/calculator">Desmos</a></li><li>Jam Board</li><li>Kami Extensions</li></ul><div><br><a href="https://kahoot.it/challenge/04738337?challenge-id=cbd2b108-8d9b-4f06-a546-48696230144b_1625685812776"><strong>Kahoot Quizz</strong></a><a href="https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/quiz/unit-circle-trig-func-quiz-2?modal=1"><strong><br>Khan Academy Quizz</strong></a><br><br></div>]]></description>
         <pubDate>2021-10-26 03:28:14 UTC</pubDate>
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