tag:blogger.com,1999:blog-31670810816881737762018-03-06T13:55:54.789+08:00A Math TeacherA Diary Of A Math TeacherMaths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.comBlogger58125tag:blogger.com,1999:blog-3167081081688173776.post-64295487792472217192010-05-08T08:36:00.002+08:002010-05-08T09:01:33.821+08:00Revision.5KB girls, please download the Angles Between Lines And Planes as a revision exercise from the Form 4 Revision Questions side link. Do the exercises in your Maths Book 2. The questions will be discuss in class on Monday.Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com26tag:blogger.com,1999:blog-3167081081688173776.post-7485015046180354872010-02-26T16:28:00.009+08:002010-02-27T21:33:48.360+08:00Am I Going Too FastFinished chapter 6 (Gradient And Area Under A Graph) with my 5SA girls. A student asked me whether we're going too fast- doing 6 chapters in a period of only 2 months. Well from my observation, the girls are doing fine. What I feel is most of the students are doing well except maybe a couple of them. These students just need to do more exercises on their own as I think I usually don't give much homework compared to the other teachers. In fact, I did not even give any homework for the long Chinese New Year Break coz I believe a holiday should be a break for the students. I do pity students nowadays, having tons and tons of homework almost everyday. I don't remember having this problem when I was in school (that's was eons ago). So on Thursday, I took a break from teaching but instead let the students discuss the online assignment on matrices that was given out before the CNY break. The assignment is as follows :<br /><br />ADVERTISING CAMPAIGN.(sourced from the internet)<br /><br />During an advertising campaign, Pepsi, Coke, and Eldora Cola tried to increase their share of the area's soda pop market. Prior to the campaign, Pepsi had 30% of all sales, Coke had 50%, and Eldora Cola had 20% of all sales.<br /><br />At the end of the 6 month ad campaign, a telephone survey was conducted, and the following results were determined:<br /><br />a) Of the original Pepsi drinkers, 10% switched to Coke, and 15% switched to Eldora Cola.<br /><br />b) Of the original Coke drinkers, 12% switched to Pepsi, and 20% now prefer Eldora Cola.<br /><br />c) Of the original Eldora Cola drinkers, 8% switched to Pepsi, and 5% switched to Coke.<br /><br />Determine the effect of the ad campaign on the market share of Pepsi, Coke, and Eldora Cola. In other words, after the 6 months, what percent of sales does each company have?<br /><br />Method: Set up a 1x3 matrix representing the original percentages.<br /><br />Then, set up a 3x3 matrix representing the share of the market lost, or maintained.<br /><br />Multiply the two matrices. The resulting 1x3 will indicate the new market shares<br /><br /><br />Students were divided into 6 groups comprising 5-6 students each. They were supposed to apply the knowledge and skills that they have learned in the topic of matrices to solve the given problem. The answers have to be uploaded by the group leader to the Sri Aman On-Line School portal.<br /><br />2 groups (Aini's and Natashiya's) were able to come up with the solution without my help. I'm quite impressed with them. Giving these type of activities really make the students think about what they've learned. I wish I could carry out more on this type of activities. <br /><br />I'm going a bit slower with my 5KB girls. I will only be starting chapter 5 (Variations) next week. Just found out recently that one of the students in this class is already an established recording artise but my advice to her is, finish her form 5 studies first, then decide the next course of action. I wish her all the best in her singing career. As this is my first year teaching this class, I'm not really familiar with the girls and their mathematical capabilities. There are a few very good students here who I feel won't have any problems at all but there are some who really need closer supervision. My biggest problem is how to make sure that every student is able to understand and apply what I have taught them on that day. Well I'll know better when I get the results of the March test which is coming soon. I'm very hopeful that most of them will do well.Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com0tag:blogger.com,1999:blog-3167081081688173776.post-29038820947002700022010-02-21T16:54:00.006+08:002010-02-21T19:41:52.607+08:00I'm Alive And WellI'm back after 3 weeks of absence from blogging. It's not that I've been away, its just that the urge to blog is not there. Today is the last day of holiday that the school took for Chinese New Year. The plan was to go back to my hometown for the holidays. The idea had to be scrapped coz three of my children will be having their major exams right after the holidays. They prefer to rest at home.<br /><br />School has been busy for the last one month. I finally managed to finished all the trainings on 'Online School' and SPS with the teachers and administrators. Teachers have started to give out online assignments to students via the school portal. The teachers also seems to be happy with the SPS especially on doing the teaching plan online. Everything went well during the training. Hopefully everything will be smooth when we start to use the SPS fully in March. I've also introduced the ThinkQuest portal to my ICT and ICTL teachers. I'm hoping that they will be able to use this portal for their ICTL lessons.<br /><br />As for my Math classes, everything is going on as scheduled. The March test will be on from 9th to 12 March 2010. I'm sure most of the students in 5SA will ace this one. As for the 5KB girls, I need to work harder with some of them. The problem with Math is you need to do lots of exercises to be good at it. There's a limit of what can be done in the 1 hour slot given in class. They have to continue on their own at home. This year the Math department has been kind enough to provide free workbooks for the students to practice on.Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com0tag:blogger.com,1999:blog-3167081081688173776.post-4107163869995967912010-02-01T21:25:00.002+08:002010-02-01T21:54:53.026+08:00FEDERAL TERRITORY DAYToday, 1st of February is the Federal Territory Day, so its a day off for those working in Kuala Lumpur. The journey to school today was a breeze compared to the other days. Reached school quite early, thus managed to do some work before school starts at 7.30. Did the PATS program with my 5SA girls on Transformation (The PATS Question can be downloaded from the Extra Worksheet Link). Most of the girls are able to solve problems on this topic, a very important topic since every year it will come up in the SPM Exam. Some girls are still struggling with this topic, so I suggested that they do extra questions on it.<br /><br />Today we also had a celebration in the school hall for being awarded the High Performance School. There was a video clip shown by the Interact Club on the sad conditions that students have to undergo in other countries. Students here especially in Sri Aman must count their blessings. We're given so much but yet we still complain. <br /><br />"Ask not what your country can do for you but what you can do for your country."<br />John F. Kennedy<br /><br />This attitude applies not only to the country but also to your family, your school, your job or business, your customers, friends etc. Sri Aman Spirit lives on.....Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com0tag:blogger.com,1999:blog-3167081081688173776.post-64960535784114495522010-01-29T17:57:00.002+08:002010-01-29T19:34:37.276+08:00HELLO 2010It's already the end of the first month of 2010. How fast time seems to fly. It's been quite a while since my last update. Actually my original plan was just to let this blog die its natural death but today I accidently mention it to my 5KB class (i didn't plan it actually). Looks like it will be given another life line.<br /><br />Well, what has happened in the last one month in school. Lots, actually. Firstly I'm very proud to say that my school was selected as one of the 20 schools nationwide that was awarded the status of High Performance School. The success is the culmination of all the hard work done by the students, teachers, school administrators , non-academic staff and not forgetting the parents. An organization can only achieve success if every one played their role to their best of abilities. Now, we have to work doubly hard to ensure that the trust put on us is fulfilled. It's scary actually..<br /><br />This year I'm only given to teach Form 5 classes, namely 5SA and 5KB. I got to meet most of my 4SA girls again. In a way, I'm glad. Hopefully the feeling is mutual but I did mention to them that they have to bear with me for another year. This year is the first time I'm teaching the 5KB girls. It has been exciting coz there's lots of interesting characters in this class. So far so good (i think). I realized that i need to monitor some students more closely. Sometimes this is difficult given the 1 hour slot given to me each day for 3 days a week to be with them.<br /><br />I've also started my training sessions with the teachers. You see, as an IT Coordinator, I'm suppose to train the teacher in using ICT. So far i've done 2 sessions with about 60 teachers on 'Online School' i.e showing teachers ways of giving online assignments to students using the school portal. Hopefully the teachers and students can really gain some benefit from this. I have one more session to go next Monday.<br /><br />I've also given 2 talks on "Smart School" to parents during the orientation day and students right after the morning assembly. The response has been encouraging. Now the school portal seems to be more alive with new members.<br /><br />Next on my agenda will be the SPS (Sistem Pengurusan Sekolah). The system is now ready with the school time table successfully uploaded with the help of En Saiful, the facilitator from Rebound Asia. There's been a lot of discussions on the SPS but from my personal point of view, I'm quite confident with this system compared to the earlier systems that were introduced to the Smart Schools. Me with a few of my fellow IT Coordinators have been reviewing the system for the whole of last year to ensure that it will be able to fulfill the school's need. Hopefully by March, we'll be able to use the system fully especially for teachers to do their lesson plans online.<br /><br />Wow!!! This must be the longest post i've done so far. Got to go. It's time for the Maghrib prayer.Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com0tag:blogger.com,1999:blog-3167081081688173776.post-84325957801401487852009-11-10T18:56:00.003+08:002009-11-10T19:12:36.224+08:00Mantap Minda ProgrammeThe 'Mantap Minda Programme' for the Form 5 started 2 weeks ago and tomorrow will be the last day. I'm glad to see that some of the girls are taking this programme seriously. Today I managed to give some tips in answering the transformations question in Paper 2. I know quite a number of the students find this topic a bit difficult. Thank you for two girls in the front row for making my day. I didn't even got their name (they're not my students). They really showed their appreciation after I explained how to tackle this question easily. It's easy to make teachers happy. A show of appreciation is all that it takes. I wished all the Form 5 girls all the best for the SPM Examinations especially 'my 5KA girls'. May God Bless You Always.Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com1tag:blogger.com,1999:blog-3167081081688173776.post-5163567183862533562009-10-23T13:35:00.004+08:002009-11-10T18:56:01.152+08:00Final Exam's OverThis Thursday will be the Open Day for my 4SA class. Overall, most of them did very well in the final exam. As I mention earlier, Maths is not a problem for my 4SA girls. Amanda even scored 100. I was expecting Aini to do the same but because of one careless mistake, she only scored 99. Sometimes I do wonder, did I have a hand in their success or they're just plain smart. I would say teaching the 4SA class is a pleasure. Not only they're smart, they're very pleasant and hardworking too. I've no problem getting them to do or pass up their assignments. I'm sure they will do well in Form 5. I wished them all the best. Maybe I'll see some of them again in Form 5 next year.Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com0tag:blogger.com,1999:blog-3167081081688173776.post-81791767752953794262009-10-09T23:34:00.010+08:002009-10-10T00:26:28.939+08:00Angles of Elevation and DepressionThis is the last topic I taught before the final exam. This is a very simple topic that can be taught in one sitting. It involved trigonometry which the students are exposed to in lower forms.<br /><br />The angle of elevation of an object as seen by an observer is the angle between the horizontal and the line from the object to the observer's eye (the line of sight).<br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://4.bp.blogspot.com/_GtcaUO_XM1o/Ss9YljJQofI/AAAAAAAAAJE/k6dHVFu60Hw/s1600-h/elevation.gif"><img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 320px; height: 136px;" src="http://4.bp.blogspot.com/_GtcaUO_XM1o/Ss9YljJQofI/AAAAAAAAAJE/k6dHVFu60Hw/s320/elevation.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5390624681098256882" /></a><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://3.bp.blogspot.com/_GtcaUO_XM1o/Ss9ZFzxa-0I/AAAAAAAAAJU/TxtekhJdgJk/s1600-h/elevation1.gif"><img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 320px; height: 18px;" src="http://3.bp.blogspot.com/_GtcaUO_XM1o/Ss9ZFzxa-0I/AAAAAAAAAJU/TxtekhJdgJk/s320/elevation1.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5390625235317488450" /></a><br /><br /><br />If the object is below the level of the observer, then the angle between the horizontal and the observer's line of sight is called the angle of depression<br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://1.bp.blogspot.com/_GtcaUO_XM1o/Ss9YtHJPcyI/AAAAAAAAAJM/gVcsWK4Lcbw/s1600-h/depression.gif"><img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 320px; height: 135px;" src="http://1.bp.blogspot.com/_GtcaUO_XM1o/Ss9YtHJPcyI/AAAAAAAAAJM/gVcsWK4Lcbw/s320/depression.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5390624811020940066" /></a><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://3.bp.blogspot.com/_GtcaUO_XM1o/Ss9ZOvYzxkI/AAAAAAAAAJc/t_r1YAk02K8/s1600-h/depression2.gif"><img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 320px; height: 18px;" src="http://3.bp.blogspot.com/_GtcaUO_XM1o/Ss9ZOvYzxkI/AAAAAAAAAJc/t_r1YAk02K8/s320/depression2.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5390625388759336514" /></a><br /><br /><span style="font-weight:bold;">Word Problems: Angles of Elevation and Depression</span><br />In order to solve problems involving angles of elevation and depression, it is necessary to<br /> <br /> * use basic right triangle trigonometry<br /> * solve equations which involve one fractional term is also important to know.<br /> * find an angle given a right triangle ratio of sides.<br /> * the fact that corresponding angles formed by parallel lines have the same measure.<br /> <br />A typical problem of angles of elevation and depression involves organizing information regarding distances and angles within a right triangle. In some cases, you will be asked to determine the measurement of an angle; in others, the problem might be to find an unknown distance.<br /> <br />Suppose a tree 50 feet in height casts a shadow of length 60 feet. What is the angle of elevation from the end of the shadow to the top of the tree with respect to the ground?<br /> <br /> First we should make a diagram to organize our information. Look for these diagrams to involve a right triangle. In this case, the tree makes a angle 90º with the ground. A diagram of this right triangle is shown below.<br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://4.bp.blogspot.com/_GtcaUO_XM1o/Ss9eHdKJcDI/AAAAAAAAAJk/sDEF4DVBd_8/s1600-h/elevation2.gif"><img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 304px; height: 172px;" src="http://4.bp.blogspot.com/_GtcaUO_XM1o/Ss9eHdKJcDI/AAAAAAAAAJk/sDEF4DVBd_8/s320/elevation2.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5390630761165058098" /></a><br /><br />In the diagram, known distances are labeled. These are the 50 and 60 foot legs of the right triangle corresponding to the height of the tree and the length of the shadow.<br /> <br />The variable q is chosen to represent the unknown measurement, the object of the question.<br /> <br />To relate the known distances and the variable, an equation is written. In this case the equation involves the lengths of the sides which are opposite and adjacent to the angle q. Using the ratio of opposite to adjacent sides, we have <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://3.bp.blogspot.com/_GtcaUO_XM1o/Ss9eqwXK7OI/AAAAAAAAAJs/-sHp-GiFmmg/s1600-h/elevation3.gif"><img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 79px; height: 41px;" src="http://3.bp.blogspot.com/_GtcaUO_XM1o/Ss9eqwXK7OI/AAAAAAAAAJs/-sHp-GiFmmg/s320/elevation3.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5390631367615376610" /></a><br /><br />We use inverse tangent of <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://1.bp.blogspot.com/_GtcaUO_XM1o/Ss9e4YYOiaI/AAAAAAAAAJ0/b2lDHSnCglI/s1600-h/elevation4.gif"><img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 83px; height: 41px;" src="http://1.bp.blogspot.com/_GtcaUO_XM1o/Ss9e4YYOiaI/AAAAAAAAAJ0/b2lDHSnCglI/s320/elevation4.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5390631601695525282" /></a> or<br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://4.bp.blogspot.com/_GtcaUO_XM1o/Ss9fH9yrr8I/AAAAAAAAAJ8/3u7zn48OPwM/s1600-h/elevation5.gif"><img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 164px; height: 24px;" src="http://4.bp.blogspot.com/_GtcaUO_XM1o/Ss9fH9yrr8I/AAAAAAAAAJ8/3u7zn48OPwM/s320/elevation5.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5390631869436637122" /></a><br />which is the angle of elevation. <br /> <br /><a href="http://www.youtube.com/watch?v=IovoJ6JEykA&NR=1">Watch Video on Word Problems on Angle of Elevation & Depression</a>Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com0tag:blogger.com,1999:blog-3167081081688173776.post-58843329056152794622009-10-09T22:47:00.003+08:002009-10-10T00:22:05.449+08:00Final ExamI can't believe it! It's already nearing the end of the year.Personally, it has been a good year for me. I'm very thankful for all the things God has bestowed on me. My view on life have gradually changed over the years. The worldly gains are not as important to me as it used to be. Being a teacher is something that I really treasure. Hopefully in the 18 years of teaching, I was able to touch some of my student's life.<br /><br />This week is the study leave for the Form 5 but some of my 5KA girls were called back for extra classes. On Wednesday, they had a six hours session on mathematics with Pn Chan, En Cheah and Pn Yeap. I really hope these extra sessions will help them. They must realize that nobody is able to help them if they are not willing to help themselves. To Amirah Azhar and Nani, I'm really proud of both of you. You've shown that you can really do it if you work hard for it. To Syuhadah, Farhain and Sara, you can always come in for extra sessions with me after school. To Azreen and Azzin, you still have time to make improvement. It's better late than never.<br /><br />The final exam for the Form 4 started on the 7th of October. I still have one more chapter to go, but I decided to finish it after the final exam coz this chapter won't be tested in the exam. I'm not worried about my 4SA girls coz I know they can do well in Mathematics.Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com0tag:blogger.com,1999:blog-3167081081688173776.post-50837233014763755302009-10-01T22:45:00.001+08:002009-10-01T23:03:03.086+08:00Hari Raya HolidaysLast week, from 19 to 27 of September, school was off for the Hari Raya Aidil Fitri holidays. Hopefully everybody enjoyed their raya holidays.<br /><br />This week school starts again. All students will have to buck up coz all the major exams are just around the corner. The form 5 are finishing their trial exam tomorrow. I've checked through some of my students mathematics paper 2 answer scripts. They didn't do as well as I expected them to. Every time I marked my student's paper, the same question will pop up. What did I do wrong? The students were not able to answer the same type of questions that were discussed in class. Sometimes the only conclusion that I can make is not all people are able to do math.Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com1tag:blogger.com,1999:blog-3167081081688173776.post-60006982690775204702009-09-26T00:05:00.006+08:002009-09-26T00:15:41.829+08:00Reference AngleReference angles are used to determine the values of the trigonometric functions in the second, third and fourth quadrants, in particular, for the "nice" angles. The reference angle for an angle θ is the smallest angle φ from the (positive or negative) x-axis to the terminal ray of the angle θ.<br /><br /><span style="font-weight:bold;">2nd Quadrant</span><br /><br />For an angle θ in the second quadrant the reference angle φ is the remaining angle needed to complete a straight angle, that is, π radians or 180°. Thus θ + φ = π or θ + φ = 180°, and so<br /><br />φ = π - θ or φ = 180° - θ. <br /><br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://2.bp.blogspot.com/_GtcaUO_XM1o/Srzqqq0l7bI/AAAAAAAAAIs/2xEwG_JD_mA/s1600-h/q2.jpg"><img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 320px; height: 308px;" src="http://2.bp.blogspot.com/_GtcaUO_XM1o/Srzqqq0l7bI/AAAAAAAAAIs/2xEwG_JD_mA/s320/q2.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5385437273198554546" /></a><br /><br /><br /><span style="font-weight:bold;">3rd Quadrant</span><br /><br />For an angle θ in the third quadrant the reference angle φ is the angle that must be subtracted from θ to leave a straight angle, that is, π radians or 180°. Thus θ - φ = π or θ - φ = 180°, and so<br /><br />φ = θ - π or φ = θ - 180°<br /><br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://3.bp.blogspot.com/_GtcaUO_XM1o/SrzrFTj7kbI/AAAAAAAAAI0/q4XR2mM6jY4/s1600-h/q3.jpg"><img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 320px; height: 309px;" src="http://3.bp.blogspot.com/_GtcaUO_XM1o/SrzrFTj7kbI/AAAAAAAAAI0/q4XR2mM6jY4/s320/q3.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5385437730811122098" /></a><br /><br /><br /><span style="font-weight:bold;">4th Quadrant</span><br /><br />For an angle θ in the fourth quadrant the reference angle φ is the remaining angle needed to complete a full circle angle, that is, 2π radians or 360°. Thus θ + φ = 2π or θ + φ = 360°, and so<br /><br />φ = 2π - θ or φ = 360° - θ. <br /><br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://3.bp.blogspot.com/_GtcaUO_XM1o/Srzry_sRbUI/AAAAAAAAAI8/MclafASnVHY/s1600-h/q4.jpg"><img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 320px; height: 296px;" src="http://3.bp.blogspot.com/_GtcaUO_XM1o/Srzry_sRbUI/AAAAAAAAAI8/MclafASnVHY/s320/q4.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5385438515751382338" /></a>Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com0tag:blogger.com,1999:blog-3167081081688173776.post-34684573070578314072009-09-25T23:42:00.003+08:002009-09-25T23:48:35.397+08:00Signs of sine, cosine and tangent, by QuadrantThe definition of the trigonometric functions cosine and sine in terms the coordinates of points lying on the unit circle tell us the signs of the trigonometric functions in each of the four quadrants, based on the signs of the x and y coordinates in each quadrant.<br /><br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://2.bp.blogspot.com/_GtcaUO_XM1o/SrzlGY6qCdI/AAAAAAAAAIk/qtFlh2R5N2A/s1600-h/quadrant.gif"><img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 320px; height: 320px;" src="http://2.bp.blogspot.com/_GtcaUO_XM1o/SrzlGY6qCdI/AAAAAAAAAIk/qtFlh2R5N2A/s320/quadrant.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5385431152358722002" /></a><br /><span style="font-weight:bold;"><br />First Quadrant</span><br />For an angle in the first quadrant the point P has positive x and y coordinates. Therefore: In Quadrant I, cos(θ) > 0, sin(θ) > 0 and tan(θ) > 0 (All positive).<br /><span style="font-weight:bold;"><br />2nd Quadrant</span><br />For an angle in the second quadrant the point P has negative x coordinate and positive y coordinate. Therefore: In Quadrant II, cos(θ) < 0, sin(θ) > 0 and tan(θ) < 0 (Sine positive).<br /><span style="font-weight:bold;"><br />3rd Quadrant</span><br />For an angle in the third quadrant the point P has negative x and y coordinates. Therefore: In Quadrant III, cos(θ) < 0, sin(θ) < 0 and tan(θ) > 0 (Tangent positive).<br /><br /><span style="font-weight:bold;">4th Quadrant</span><br />For an angle in the fourth quadrant the point P has positive x coordinate and negative y coordinate. Therefore: In Quadrant IV, cos(θ) > 0, sin(θ) < 0 and tan(θ) < 0 (Cosine positive).<br /><br />The quadrants in which cosine, sine and tangent are positive are often remembered using a favorite mnemonic. <br />One example: <span style="font-weight:bold;">All Students Take Calculus</span>.Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com2tag:blogger.com,1999:blog-3167081081688173776.post-7302592846972035922009-09-25T21:00:00.010+08:002009-09-25T23:32:00.639+08:00Unit Circle<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://4.bp.blogspot.com/_GtcaUO_XM1o/SrzBjS1ogFI/AAAAAAAAAIM/dUQjMe3na8I/s1600-h/unitcircletrig.gif"><img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 239px; height: 229px;" src="http://4.bp.blogspot.com/_GtcaUO_XM1o/SrzBjS1ogFI/AAAAAAAAAIM/dUQjMe3na8I/s320/unitcircletrig.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5385392066524643410" /></a><br />So... what is a Unit Circle?<br /><br />A unit circle is a circle with a radius of one (a unit radius). In trigonometry, the unit circle is centered at the origin.<br /><br />For the point (x,y) in Quadrant I, the lengths x and y become the legs of a right triangle whose hypotenuse is 1.<br /><br />In the diagram above, we're measuring the angle θ between the x-axis of the Cartesian plane and a line that extends from the origin. Now, here's the really interesting thing; the sine of the angle is equal to the y-coordinate of the point on the unit circle where the line crosses, and the cosine of the angle is equal to the x-coordinate. This is true for any line extending from the origin.<br /><br />Why is this? Well, the line segment from the origin to the point where it crosses the unit circle forms the hypotenuse of a right-angled triangle. Because the radius of the circle is 1, the length of the hypotenuse is likewise 1. SOHCAHTOA's rules then boil down to:<br /><br />Sin θ = Opposite<br /><br />Cos θ = Adjacent<br /><br />Tan θ = Opposite/Adjacent<br /><br />In other words:<br /><br />Sin θ = y<br /><br />Cos θ = x<br /><br />Tan θ = y/xMaths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com0tag:blogger.com,1999:blog-3167081081688173776.post-88162329736696463732009-09-25T20:10:00.004+08:002009-09-25T23:12:53.885+08:00Properties Of Common Tangents<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://3.bp.blogspot.com/_GtcaUO_XM1o/Sry9Q0YpwSI/AAAAAAAAAHs/z0blVVaCNEw/s1600-h/teorem1.GIF"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 420px; height: 250px;" src="http://3.bp.blogspot.com/_GtcaUO_XM1o/Sry9Q0YpwSI/AAAAAAAAAHs/z0blVVaCNEw/s320/teorem1.GIF" border="0" alt=""id="BLOGGER_PHOTO_ID_5385387351065870626" /></a>Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com0tag:blogger.com,1999:blog-3167081081688173776.post-55048769792468307532009-09-14T22:42:00.008+08:002009-09-14T23:03:23.112+08:00Common Tangent To A Pair Of CirclesCommon tangents are lines or segments that are tangent to more than one circle at the same time.<br /><br />The possibility of common tangents is closely linked to the mutual position of circles. <br /><br /><br />If two circles touch inside, the two internal tangents vanish and the two external ones become a single tangent.<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://1.bp.blogspot.com/_GtcaUO_XM1o/Sq5XPL-0l5I/AAAAAAAAAHU/TUDaS0285_I/s1600-h/CommonTan1.gif"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 111px; height: 125px;" src="http://1.bp.blogspot.com/_GtcaUO_XM1o/Sq5XPL-0l5I/AAAAAAAAAHU/TUDaS0285_I/s320/CommonTan1.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5381334523180259218" /></a><br /><br /><br /><br /><br /><br /><br /><br />If two circles intersect, the common tangent is replaced by a common secant, whence there are only two external tangents.<br /><br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://1.bp.blogspot.com/_GtcaUO_XM1o/Sq5XYQT7LSI/AAAAAAAAAHc/ORxXcgjh4AU/s1600-h/CommonTan2.gif"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 155px; height: 102px;" src="http://1.bp.blogspot.com/_GtcaUO_XM1o/Sq5XYQT7LSI/AAAAAAAAAHc/ORxXcgjh4AU/s320/CommonTan2.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5381334678961335586" /></a><br /><br /><br /><br /><br /><br /><br />If two circles touch each other outside, the two internal tangents coincide in a common tangent, thus there are three common tangents.<br /><br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://1.bp.blogspot.com/_GtcaUO_XM1o/Sq5WpJV8mrI/AAAAAAAAAHM/D4OjHPKZZEw/s1600-h/CommonTan3.gif"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 189px; height: 131px;" src="http://1.bp.blogspot.com/_GtcaUO_XM1o/Sq5WpJV8mrI/AAAAAAAAAHM/D4OjHPKZZEw/s320/CommonTan3.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5381333869636917938" /></a><br /><br /><br /><br /><br /><br /><br /><br />If two circles are separate, there are four common tangents, two inside and two outside.<br /><br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://2.bp.blogspot.com/_GtcaUO_XM1o/Sq5Xhe98UDI/AAAAAAAAAHk/kmIULNeoUG0/s1600-h/CommonTan4.gif"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 225px; height: 138px;" src="http://2.bp.blogspot.com/_GtcaUO_XM1o/Sq5Xhe98UDI/AAAAAAAAAHk/kmIULNeoUG0/s320/CommonTan4.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5381334837514489906" /></a>Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com1tag:blogger.com,1999:blog-3167081081688173776.post-34014757984947006012009-09-14T00:12:00.015+08:002009-09-14T00:49:15.894+08:00Tangent Of A Circle.I started the chapter on circle by introducing the concept of tangent to a circle.<br /><br />A tangent to a circle has two defining properties<br /><br /> * A tangent touches a circle in exactly one point. This point is called point of tangency.<br /> * The tangent intersects the circle's radius at a 90° angle<br /><br /><br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://1.bp.blogspot.com/_GtcaUO_XM1o/Sq0bocKMnEI/AAAAAAAAAGc/70dt8auqEmQ/s1600-h/tangent_01.gif"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 249px; height: 195px;" src="http://1.bp.blogspot.com/_GtcaUO_XM1o/Sq0bocKMnEI/AAAAAAAAAGc/70dt8auqEmQ/s320/tangent_01.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5380987511345290306" /></a><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><a href="http://www.youtube.com/watch?v=Ut_rKPch-JE">Watch Video on Tangent Line</a><br /><br /><br /><span style="font-weight:bold;">Properties of two tangents to a circle</span><br /><br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://2.bp.blogspot.com/_GtcaUO_XM1o/Sq0fov8gFyI/AAAAAAAAAGk/giYtLJ7ByQc/s1600-h/tangent_02.gif"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 202px;" src="http://2.bp.blogspot.com/_GtcaUO_XM1o/Sq0fov8gFyI/AAAAAAAAAGk/giYtLJ7ByQc/s320/tangent_02.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5380991914703066914" /></a><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br />If two tangents lines are drawn namely AP and BP, they will intersect at a point, P. The properties of the two tangent lines are listed below :<br /><br />1. CA = CB<br />2. AP = BP<br />3. Angle ACP = Angle BCP<br />4. Angle Angle APC = Angle BPC<br />5. Angle CAP and angle CBP are both right angles<br />6. Triangle CAP and BCP are congruentMaths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com0tag:blogger.com,1999:blog-3167081081688173776.post-86011568332477746872009-09-13T23:34:00.003+08:002009-09-14T00:11:53.636+08:00Blogging AgainIt's been quite a while since my last update. It's not that I'm been so busy, it's just that the drive to write was not there. Writing does not come easily for me, I guess its just not my cup of tea. <br /><br />School reopened on the 1st of September 2009. I managed to finished off the Earth As A Sphere chapter with my 5KA class before they start their trial exam on the 8th of September. I really hope that my girls will do well in this exam. I'm really amazed at the improvements shown by a number of girls in that class. Good Luck to all of you.<br /><br />My 4SA class did quite well in the August test. Only 2 students were not able to score an A for the test. I'll have to monitor the two girls more closely. I really need to speed up on my teaching coz I just realized that I only have two weeks after the Hari Raya break before the final exam starts. Last week, I missed the Wednesday class coz I had to go for a meeting in Shah Alam. This week I will again miss the Wednesday class due to another meeting in BTP. Thankfully Datin Lee is around to cover for me. I really feel guilty when I had to miss my class but being the ICT coordinator of my school, I'm frequently called for meetings. I wish someone will take over my job coz I'd rather be teaching than doing all the administrative work.Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com0tag:blogger.com,1999:blog-3167081081688173776.post-22661771109626557322009-08-26T23:12:00.005+08:002009-08-27T00:43:34.661+08:00The Blessed MonthToday is the fifth day of the school holidays, so there's nothing to write about school. I hope all the teachers and students are enjoying their holidays. It is really a much needed rest for all of us. The Form 3 students must be working hard coz the PMR exam is coming soon. The Form 5 students also must use the free time wisely to prepare for the trial and SPM examination.<br /><br />Today is also the fifth day of the fasting month. Starting Ramadhan during the school holiday is really a blessing. I don't need to rush in the morning to go to work. I'm also able to spend more time with my youngest son. This year is the second year he is fasting. Last year he only missed a day of fasting. I'm really proud of him. Hopefully this year he'll be able to complete the whole month of Ramadhan. This year is also the first year he is going to the mosque for the tarawih prayers. He looks forward to go the mosque every night partly because he likes to pray with his friends and partly because of the food that is served after the prayers.<br /><br />Today I also did a talk on'teknik menjawab soalan' for SPM Mathematics for the children of the staff of the Public Works Department in Kuala Lumpur. This is my first time giving the talk. Overall, it went quite well. The students were very nice. I hope they'll gain something from my talk. As most students and teachers are aware, one of the most effective way to prepare for the SPM examination is to do the past years exam papers. Each year the format and the type of questions are the same. To be good in Math, students need to do a lot of exercises. There's a whole lot of trials exam papers that can be downloaded from the net.Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com2tag:blogger.com,1999:blog-3167081081688173776.post-51010632636458212932009-08-20T15:21:00.008+08:002009-08-20T21:17:36.576+08:00Ramadhan's ComingThe fasting month of Ramadhan is fast approaching. It was confirmed today that the fasting month will start this Saturday. I love the month of Ramadhan. Everything seems so relaxed and peaceful during this month. I don't have to rush like the regular days. I don't have to think about what to eat for breakfast and lunch. I also seem to eat less in this month and thus feel much healthier. Fasting is good for our health. We are able to enjoy the food we have coz we were deprived of it for the whole day. We humans like to take things for granted. We never appreciate the things that we have. Everyone will also make a point to make it home on time to break fast together. Thus the fasting month is also good in strengthening the family ties.<br /><br />Tomorrow is also the last day of school before the school holidays. The school will be closed for holiday for 1 week from 22 - 31 August. The form 4 classes just finished the August test on Tuesday, so I gave them a day off from lessons on Wednesday. I had to carry on with my lessons with my 5SA class coz the trial exam will start on the 4th of August and I still have a few topics on Earth As A Sphere to cover. <br /><br />So on Monday, I taught the girls how to find the distance between 2 point on the meridian. These are the steps:<br /><br />1. Find the difference in angle between the two points.<br />2. Use the formula Distance = difference in angle x 60 to obtain the distance.<br /><br />The unit for distance on the sphere is nautical miles (nm). The same steps can be used if you want to find the distance between two points on the equator.<br /><br />Problem 1 : Find the distance between the following points :<br /> <br /> A (85°N , 105°E) and B (27°N, 105°E)<br /><br />Solution :<br /><br />Note that points A and B are on the same longitude or the same meridian. <br /><br />Step 1 : Find the difference in angle between the 2 points. Since the 2 points are in the same hemisphere, substract the latitude of both points to obtain the difference in angle between 2 latitudes.<br /><br />Difference in angle is (85 - 27) = 58°.<br /><br />Step 2 : Use the formula Distance = 58 x 60 = 3360 nm.<br /><br />Problem 2 : Find the distance between the following points<br /><br /> A (30°S , 50°W) and B (15°N , 50°W)<br /><br />Step 1 : Find the difference in angle. Since the 2 points are in a different hemisphere, we have to add the angles of the two latitudes to obtain the difference between the 2 points.<br /><br />Thus the difference in angle is (30° + 15°) = 45°<br /><br />Step 2 : Distance = 45 x 60 = 2700 nm.<br /><br />The same steps can be use to find the distance between 2 points on the equator.<br /><br />Example : Find the distance between A (0° , 14°E) and B (0° , 15°W)<br /><br />1. Difference in angle (14 + 15) = 29 - Different side of the meridian<br />2. Distance = 29 x 60 = 1740 nmMaths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com0tag:blogger.com,1999:blog-3167081081688173776.post-84817846733301785592009-08-15T16:08:00.010+08:002009-08-16T13:07:08.780+08:00Schooling On A SaturdayToday is a school day. It is suppose to be a replacement day for the extended holiday the school will be taking for the Deepavali celebration in October. Schooling on a Saturday is not a good idea as proven by the poor attendance of students today. There's only 4 girls present in 5KA and only a handful in my 4SA class today. Merit marks were given to all students who were present today.<br /><br />My 4SA class was taken over by the physics teacher. The students needs more help in Physics than in Math. As for my 5KA class, I continued with the Earth As A Sphere chapter. Lesson was a breeze today compared with the regular days where I have to handle 23 boisterous girls who doesn't know the meaning of quiet. Its sure is a challenge teaching these girls but I enjoy every minute of it. Today we tried some problems on determining the location of places on the earth's surface.<br /><br />Any location on Earth is described by two numbers--its latitude and its longitude. If a pilot or a ship's captain wants to specify position on a map, these are the "coordinates" they would use. Actually, these are two angles, measured in degrees, "minutes of arc" and "seconds of arc." These are denoted by the symbols ( °, ', " ) e.g. 35° 43' 9" means an angle of 35 degrees, 43 minutes and 9 seconds (do not confuse this with the notation (', ") for feet and inches!). A degree contains 60 minutes of arc and a minute contains 60 seconds of arc--and you may omit the words "of arc" where the context makes it absolutely clear that these are not units of time.<br /><br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://1.bp.blogspot.com/_GtcaUO_XM1o/SoaUpijSDxI/AAAAAAAAAF8/TtdzIUHBlPs/s1600-h/2063-004-0DC1CAB7.gif"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 317px;" src="http://1.bp.blogspot.com/_GtcaUO_XM1o/SoaUpijSDxI/AAAAAAAAAF8/TtdzIUHBlPs/s320/2063-004-0DC1CAB7.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5370143047056232210" /></a><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br />To determine the latitude of a location, imagine that the Earth is a transparent sphere (actually the shape is slightly oval; because of the Earth's rotation, its equator bulges out a little). Through the transparent Earth (drawing) we can see its equatorial plane, and its middle the point is O, the center of the Earth.<br /><br />To specify the latitude of some point P on the surface, draw the radius OP to that point. Then the elevation angle of that point above the equator is its latitude λ--northern latitude if north of the equator, southern (or negative) latitude if south of it. In the diagram below, the latitude of P is 30°N.<br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://4.bp.blogspot.com/_GtcaUO_XM1o/SoeR_4_rEdI/AAAAAAAAAGU/bZXuJzV14gs/s1600-h/location.jpg"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 295px;" src="http://4.bp.blogspot.com/_GtcaUO_XM1o/SoeR_4_rEdI/AAAAAAAAAGU/bZXuJzV14gs/s320/location.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5370421607479841234" /></a><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br />Longitude is distance east or west of a base line called greenwich meridian or prime meridian. The longitude of any given place is its distance, measured in degrees of arc, from this base line.<br /><br /><br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://2.bp.blogspot.com/_GtcaUO_XM1o/SoabSmjPoLI/AAAAAAAAAGM/t4IspEAyQQc/s1600-h/longitude.gif"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 318px;" src="http://2.bp.blogspot.com/_GtcaUO_XM1o/SoabSmjPoLI/AAAAAAAAAGM/t4IspEAyQQc/s320/longitude.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5370150349574217906" /></a>Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com0tag:blogger.com,1999:blog-3167081081688173776.post-33262593111215954732009-08-13T21:02:00.006+08:002009-08-13T22:43:43.104+08:00Longitude and LatitudeStarted the Earth As A Sphere topic by explaining the concept of longitude and latitude. <br /><br />Lines of latitude run East & West or horizontal but measure distance North & South of the Equator—vertically. The equator is labeled as zero degrees latitude. The greatest amount of latitude is 90 degrees at the North or South poles. We can then label our equator as 0 and our North and South poles as 90. These lines of latitude are parallel to the equator and are even referred to as “parallels” or “parallels of latitude.” <br /><br />Moving to lines of longitude, they run perpendicular to lines of latitude. That is, longitude lines run North and South but measure East and West of zero degrees longitude which is a line called the Prime Meridian. This arbitrary north/south line was marked by the British in the 17th century and runs through a town just outside of London called Greenwich. <br /><br />Starting at the Prime Meridian, we measure the earth east or west with these north/south-running lines called “meridians.” We can measure halfway around the world till these meridians meet at 180 degrees. This meridian line at 180 east or west is called the International Date Line. So unlike latitude, where the greatest or maximum latitude is 90 at either the north or south poles, the greatest amount of longitude is 180—halfway around the world from the prime meridian. One other important way these longitude lines differ from parallel latitude lines is that lines of longitude are not parallel, and in fact converge at both the North and South poles.<br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://1.bp.blogspot.com/_GtcaUO_XM1o/SoQmNazlapI/AAAAAAAAAFs/vVKH_VDA4DQ/s1600-h/lat%26long.gif"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 222px;" src="http://1.bp.blogspot.com/_GtcaUO_XM1o/SoQmNazlapI/AAAAAAAAAFs/vVKH_VDA4DQ/s320/lat%26long.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5369458667708312210" /></a><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br />You can read more on longitude and latitude below :<br /><a href="http://nationalatlas.gov/articles/mapping/a_latlong.html#two">What Is Longitude and Latitude?</a>Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com0tag:blogger.com,1999:blog-3167081081688173776.post-71904507769289035642009-08-11T20:58:00.003+08:002009-08-11T22:08:51.066+08:00Back To SchoolWe're back in school today after a 1 week break. Had a short assembly in the gallery. Pn Loh reminded the students on the Influenza A (H1N1)again. It seems to be getting worse as the death toll from Influenza A (H1N1) rose to 38 today. Some of the students and teachers were wearing masks. You can read more about using face mask <a href="http://h1n1.moh.gov.my/PenggunaanMaskDalamKomunitiBI.php">here.</a><br /><br />The August test is postponed to next week. That's good news for the Form 1, 2 and 4 students, they'll have more time to prepare for the test. <br /><br />I still have one more chapter to cover for my form 5 class. It's the Earth As a Sphere chapter. A lot of students find this chapter quite difficult. Luckily students can choose not to answer the question on this topic for the SPM. Most probably my 5KA students will also give this topic a miss. So I won't be spending too much time on it. Hopefully by the mid term holidays, I'm able to complete the syllabus. I'm very happy with the progress shown by some of the girls in this class. It shows that nothing is impossible if you put your heart and mind to it.Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com0tag:blogger.com,1999:blog-3167081081688173776.post-79908225983887774622009-08-05T12:01:00.009+08:002009-08-05T14:26:00.201+08:00School's OutSchool is off for a whole week due to the increasing number of students and teachers getting sick. Hopefully its just the regular flu and not caused by the Influenza A (H1N1) virus. Teachers and students are instructed to quarantined themselves at home for the whole week. I hope everyone will follow the instruction given by the authorities. Anyway, the August test was postponed to the last week before the school holidays. Use the time wisely to prepare for the test and the BIG exams that are coming soon. I'm putting up some mathematical jokes I found to lighten up the atmosphere :<br /><br />1. Math problems? Call 1-800-[(10x)(13i)^2]-[sin(xy)/2.362x].<br /><br />2. If I had only one day left to live, I would live it in my statistics class: it would seem so much longer<br /><br />3. It is proven that the celebration of birthdays is healthy. Statistics show that those people who celebrate the most birthdays become the oldest.<br /><br />4. Q : Why was the maths book unhappy A : It had too many problems<br /><br />5. Teacher: "Who can tell me what 7 times 6 is?"<br /> Student: "It's 42!"<br /> Teacher: "Very good! - And who can tell me what 6 times 7 is?"<br /> Same student: "It's 24!<br /><br />6. Q: How does a mathematician induce good behavior in her children?<br /> A: `I've told you n times, I've told you n+1 times.<br /><br />7. Student Howler 1: An average is a thing that hens lay their eggs on - for example, "My hens lay four eggs a week on average."<br /><br />8. A professor, when asked how many problems there would be on the final, turned to the student and replied, "I think you will have lots of problems on the final."<br /><br />9. What keeps a square from moving? Square roots, of course.<br /><br />10. Teacher : If you had one dollar and you asked your father for another, how <br /> many dollars would you have?<br /><br /> Student : One dollar.<br /><br /> Teacher : You don't know your arithmetic.<br /> <br /> Student : You don't know my father ! <br /><br /><br /><span style="font-weight:bold;">Happy Face Math</span><br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://4.bp.blogspot.com/_GtcaUO_XM1o/SnkVS_hxO3I/AAAAAAAAAFk/nI6X4LzMn-A/s1600-h/happy+image.gif"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 400px; height: 320px;" src="http://4.bp.blogspot.com/_GtcaUO_XM1o/SnkVS_hxO3I/AAAAAAAAAFk/nI6X4LzMn-A/s320/happy+image.gif" border="0" alt=""id="BLOGGER_PHOTO_ID_5366343847023557490" /></a>Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com0tag:blogger.com,1999:blog-3167081081688173776.post-10107473706732437092009-07-31T16:55:00.005+08:002009-07-31T19:06:41.311+08:00Missing StudentsI planned to do a revision on statistics with my 4SA girls today but majority of them are MIA. Only 6 girls were in class today (I was told there should be 9). The rest are either in the hall (prefect's installation) or are absent. I thought I saw Su Yi in school today. She's not a prefect, so I wonder how come she's not in class during the math period. How about the other 2 girls. I guess they have some explaining to do comes Monday Math class. So instead of doing the revision, I asked the girls present to upload their online assignments. There are still some girls who has not uploaded their assignment. 4SA girls, take note - the online assignments will be included as part of the formative marks for the August test. As for the test, students will be tested on Chapters 1-7. <span style="font-weight:bold;"> I've uploaded some revision questions on my site links for you all to revise.<span style="font-style:italic;"></span></span> (All questions were taken from Koleksi Soalan SMS Muzaffar Shah)Maths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com0tag:blogger.com,1999:blog-3167081081688173776.post-37714468570591256242009-07-31T16:25:00.010+08:002009-07-31T19:11:56.874+08:00Plan & ElevationToday, I discussed questions on Plan & Elevation with my 5KA girls. Questions on this topic usually requires student to draw the plan (view from above), the front or the side elevation of a 3-dimensional object. The diagrams must be drawn using the actual measurements given. Every year this topic came out in the SPM Mathematics Paper 2. Students are advised to be well verse with this topic coz it carries 12 marks and are quite easy as it does not require any calculations to be done. Example of the questions on this topic are shown below:<br /><br />The first part of the question usually requires student to draw the plan (view from above) of a solid object. Example :<br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://1.bp.blogspot.com/_GtcaUO_XM1o/SnKs3791QuI/AAAAAAAAAFU/L1DPGEMTBV0/s1600-h/p%26e1.jpg"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 400px; height: 306px;" src="http://1.bp.blogspot.com/_GtcaUO_XM1o/SnKs3791QuI/AAAAAAAAAFU/L1DPGEMTBV0/s320/p%26e1.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5364540183141499618" /></a><br /><br /><br />Then the second part of the question usually requires students to draw the elevation of the combined solid (with another solid added or parts of the original solid removed) as viewed from the direction given.<br /><br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://1.bp.blogspot.com/_GtcaUO_XM1o/SnKvdPmsbzI/AAAAAAAAAFc/laFriwboAp8/s1600-h/p%26e2.jpg"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 400px; height: 320px;" src="http://1.bp.blogspot.com/_GtcaUO_XM1o/SnKvdPmsbzI/AAAAAAAAAFc/laFriwboAp8/s320/p%26e2.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5364543023091576626" /></a><br /><br />These questions require students to imagine how the solids looks like when viewed from above or from the directions given.<br /><br />See the answers hereMaths Teacherhttp://www.blogger.com/profile/10616538284020839488noreply@blogger.com0