Wednesday, September 24, 2014

how to basic math

EM EOY Topics 2014: (Refer to attached EM Syllabus 4016)
1.1 Numbers and the four operations um. really?
1.2 Ratio, rate and proportion ratio should be okay (remember equal signs), what is rate? _ per second? proportion...
1.3 Percentage sorry what are we supposed to know about percentage? 100% stuff?
1.4 Speed m/s^2
1.5 Algebraic representation and formulae been there done that
1.6 Algebraic manipulation been there done that
1.7 Functions and graphs eheheheheheheheheheh let's revise :>
1.8 Solutions of equations and inequalities equations okay, inequalities..........
1.9 Applications of mathematics in practical situations
Only the following parts:
• use of data from tables and charts
• interpretation and use of graphs in practical situations
• drawing graphs from given data
• distance-time and speed-time graphs (Kinematics) should all be okay, area under speed-time is distance
1.11 Matrices I will revise
2.1 Angles, triangles and polygons does this include trigo? otherwise, revise polygons. what are polygons. forget it
2.2 Congruence and similarity
2.4 Pythagoras’ theorem and trigonometry I guess "triangles" don't include trigo. REVISE THIS.
2.5 Mensuration (Including Circular Measure) I should really go check what formulas are given
2.6 Coordinate geometry I hope I know my shit (will revise), remember not to use area formula (shoelace)

okay.

I give up for now.

I'm back!

I have a problem with graphs so here I go:
A(Bx+C)^2+D
Both in (A), right in (B)
Whole thing move (C)
To the left to the left (B, C)
Go up (D)
it's a rhyme I created. it's what happens when the value of each letter is increased.
it's also not a rhyme.
HOLY TRINITY
- y=ax^2+bx+c
- y=a(x-a)(x-b) where a & b are the roots of the eqn
- y=a(x+b/2a)-b^2/4a+c where (-b/2a, -b^2/4a+c) is the turning point
y=logx and y=e^x are always in your right hand
e^x is always happy :), logx is always sad :( and they're both diagonal
y^=x is the sideways one, turning point closer to the left

coord geom:
circles (a,b) is center, (x,y) is point on circle, r is radius
1 standard form: (x-a)^2+(y-b)^2=r^2 (remember to leave as r^2)
2 general form: x^2+y^2-2ax-2by+a^2+b^2-r^2=0
how to? expand 1 to 2, sub in whatever you can, find everything you need. profit
gradient m=(y1-y2)/(x1-x2)
etc formulas that I will write down coz it's hard to type surreh

proportion:
wtf is proportion? like direct and indirect?
y=kx
y=k/x
find k (sub in x and y).

ANGLES/mensuration (in general):
1 DP for DEG, 3 SF for RAD, remember to check calculator mode
so I checked just now the formulas given, so I'll be doing rad shit now
1 deg = π/180 rad
that's all you need to know, the rest of the formulas given.
remember pie is above all divided by 2. as in, 360 is like "all" right so pie is above 360/2 = π/180
and there you get degree to radiant coz who ever wants to reverse their radness? no one
oh and pyramids are base*height/2
and segment (pizza crust) area=r^2(θ-sinθ)/2

indices:
damn hard to type. I write in my notebook jiu hao le ba. you should already know all the indices shit anyway. there are 6 laws.

inequalities:
remember when dividing both sides by -1, the sign flips.

trigo: DEGREE ONLY
SPECIAL ANGLES
sin^2θ+cos^2θ=1 for fun :>
bearings _ _ _ . _ º clockwise from north
acute angle 0º<θ<90º
obtuse angle 90º<θ<180º
reflex angle 180º<θ<360º
all the things like sinθ=sin(180º-θ) etc. (notebook)

log for fun:
x^a = y
log y (base x) = a
Thx Bruce

matrices will be done on notebook

AND WE'RE DONE FOR E MATH + SOME EXTRAS

Oh and polygon angle formula which killed me
Sum of interior angles = (n-2) x 180°, n being the number of sides

and congruence/similarity was tested after all. oh well. ZXF