Term 4 Remedial

Dear all,
Term 4's remedial schedule has been uploaded to my pbwiki.

Disclaimer: Even if you come for remedial, you STILL NEED to work hard on your own for your end of year exams. Ask more questions. Practice more.

Don't Quit

http://www.thedontquitpoem.com/index.htm

Dear people, it's August already. How far you've come, how much you've learnt :)
Jia you for end of years !!
You must persevere. Don't quit.

Puzzle 4

More knights and knaves? Yeah!


On an island, the populace is of two kinds: knights and knaves. Knights always tell the truth, knaves always lie.
An islander - call him A - made a statement about himself and a friend, call him B: "Either I am a knave or B is a knight."

What are A and B?


Thanks for your comments! Check out
http://www.cut-the-knot.org/Outline/Logic/KnightKnave2.shtml#solution

Puzzle 3

On an island, the populace is of two kinds: knights and knaves. Knights always tell the truth, knaves always lie.
An islander - call him A - made a statement about himself and a friend, call him B: "At least one of us is a knave."

What are A and B?

They are...
http://www.cut-the-knot.org/Outline/Logic/KnightKnave1.shtml#solution

Puzzle 2

Refer to the diagram on the left.

Find a route that traverses all the edges only once.

Puzzle 1

How do you divide a cake into 8 equal pieces with only 3 cuts ?

Algebra Rocks My Socks (dedicated to all the sec 1 kiddos who sit in my classes)

Algebra oi! You rock my socks
Feet will tremble, brain gets blocked
I thought math was about 1, 2, 3
& now I have these x, y, z's
1 + 2 = 3
but x + y not equal z
1 + ½ = 1 ½
but a + a/2 not equal a a/2;
Woe is me! i cringe and fear
Can someone help me out right here ?
In comes MT dunnoyshetoksofast
"Listen up, practice more, askaskask!"
"I do first, then you do, & I'll walk around."
"Focus, doyourwork, dundootherstuff!"
"Ok homework is...ok thank you class!"

Algebra oi! You rock my socks
The mysteries of the universe are gradually unlocked
Managing unknowns is what we do just every day
So kiddos fear not
Just keep finding ways
To listen up, practice more and ask me, okay? :)

Questions for your response/comments:

Q1. If 1 + 2 = 3, does 1² + 2² = 3² ? Explain.

Q2. Does 1x + 2x = 3x ? Then does x¹ + x² = x³ ? Explain.

Q3. "but x + y not equal z ". What do you think ?

Beware of Graphs

Dear chair potatoes of Ms Teng's sec 2 math class
Beware, beware of graphs.
They're made of millions of coordinated points
Weapons will not stop their path
They cut through axes mercilessly.

Beware of the chant of the Linear Graph Gang
y = mx + c
The 'm' decides their slope of conquest
The 'c' decides just where they cut
and where two Linear Graphs collide
Equation feuds are solved.

The Quadratics plot and plan to curve
With sleek symmetry of style
Maneuvering their turning points
To conquer the civilized world.


Question for your response/comments:

Q1. What are graphs used for ?