“Mathematics is the door and key to sciences.”

Roger Bacon

investigation A

For the first investigation, we were asked to create an airplane runway, thus the name “Hit The Runway”. And we had to equate the line of the runway, for it to be exact, as from a realistic and logical standpoint, we have to make the exact and precise line. Because obviously, without a precise landing, the plane wouldn’t land safely.

And as you can see , the equation of the original straight runway line is y=3.15.

Then, there are also circles on the grid. These circles represent and are used to implify when planes have to revolve around the runway before landing, as they have to find the precise angle to land, as it has to be parallel as well.
The equations of the circle are as follows:

Investigation B

A) PERIMETER

first iteration : since each side of the triangle is 81 cm , 81*3=243 cm

second iteration : two triangles are overlapped we can find the perimeter by dividing {((81/3)*4)*3} = 324 cm

third iteration : to find the smallest length we can divide 81/3/3=9 cm 9*8*6 = 432 cm

fourth iteration : 81/3/3/3=3 cm so, 3*4*47 = 564 cm

B) AREA

C) OBSERVATION

D) MODEL

investigation C

no. 1

no. 2

no. 3

no. 4

no. 5

no. 6

for the number of green triangles, it increases as the stage number increases

for the length of one side of one green triangle (units), it decreases as the stage number increases

for the area of each green triangle (units^2), it decreases as the stage number increases

that’s the end to my final eJournal of 2019, I really do hope you all find my blogs useful and maybe could help you understand maths a little.

#igcsemath2020

#firstbatch