# 2P117

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DAY 1: 25 May

Type a 100-word reflection for today's lesson.

Although tedious and challenging, I find this lesson quite interesting. As we explore deeper into this topic, we have moved on from finding equation of lines and quadratic graphs to finding the distance and mid-point through Pythagoras Theorem, which will then be followed by Trigonometry. This topic is very important as it encompasses many other important concepts that are vital in the future. Having a strong foundation in these concepts is crucial to score well in the later years as we will find it easy to move on to more difficult and challenging questions. However, I must admit I feel that the whole of this topic is quite challenging as compared to others. Although finding the distance and mid-points of lines is relatively easy now, I believe these concepts will be needed to be applied in other areas too. This is another great experience for me as I am able to learn the topic at my own pace and at a totally different environment from school. This change is indeed refreshing and conducive for learning. In all, I feel that finding the distance and mid-points of lines is relatively easy if you are able to grasp the concept behind it, but I believe harder things which require these concepts will come out again in the near future.

DAY 2: 26 May

Type a 100-word reflection for today's lesson and comment on your work.

It was quite time consuming and challenging as I had to spend time to familiarize myself with the different functions of the graphic calculator to obtain the desired picture. I made many mistakes when using the calculator to draw circles and had to research to find out more about it. However, I felt a sense of accomplishment after completing the picture. I feel that this is a very enriching learning experience for me as I can work at my own pace and figure out and discover new things by my own, thus making me more independent in my learning. In all, I feel that today’s lesson was interesting as I learnt how to find the equation of circles. However, I am still not very confident in this topic and need more time to learn and practice.

Submission of Designs:

 Design 1 (LONDON 2010) Design 2 ("RU4") Design 3 (SYRINGE) Design 3 (Optional) (BOAT) Window Settings: Xmin = -12.1 Xmax = 12.1 Ymin = -8 Ymax = 8 Equations: Y1 = √(4-(x-4)2 ) +2 Y2 = -√(4-(x-4)2) + 2 Y3 = √(4-(x-0)2) + 2 Y4 = -√(4-(x-0)2)+ 2 Y5 = √(4-(x-(-4))2) + 2 Y6 = - √(4-(x-(-4))2) + 2 Y7 = √(4-(x-(-2))2) + 0 Y8 = - √(4-(x-(-2))2) + 0 Y9 = √(4-(x-2)2) + 0 Y10 = - √(4-(x-2)2) + 0 Window Settings: Xmin = 0 Xmax = 6 Ymin = 0 Ymax =6 Equations of Circle y1 = √(2.5^2-(x-3.5)^2) + 3 y2 = -√(2.5^2-(x-3.5)^2) + 3 Equation of Longer Line y3 = (11-2x)/1/(x>=3)/(x<=4.5) Equation of Shorter Line y4 = (2x-4)/1/(x>=3)/(x<=3.75) Window Settings: Xmin = -7 Xmax = 7 Ymin = -5 Ymax = 5 Equations of Syringe y1 = 0.5/(x>=-5 and x<=-4) y2 = -0.5/(x>=-5 and x<=-4) y3 = x - 4.5/(x>=-6 and x<=-5) y4 = -x + 4.5/(x>=-6 and x<=-5) y5 = 0.5/(x>=-3 and x<=0) y6 = -0.5/(x>=-3 and x<=0) y7 = 0.5/(x>=1 and x<=5) y8 = -0.5/(x>=1 and x<=5) y9 = 0.25x + 1.75/(x>=5 and x<=7) y10 = -0.25x - 1.75/(x>=5 and x<=7) Equations of Semi-Circles y1 =√(16-(x-4)^2)/(x>=0 and x<=4) y2 =-√(16-(x-4)^2)/(x>=0 and x<=4) y3 =√(9-(x-4)^2)/(x>=0 and x<=4) y4 =-√(9-(x-4)^2)/(x>=0 and x<=4) y5 =√(16-x^2)/(x>=-4 and x<=0) y6 =-√(16-x^2)/(x>=-4 and x<=0) y7 =√(9-x^2)/(x>=-4 and x<=0) y8 =-√(9-x^2)/(x>=-4 and x<=0)