A rational number is anything that can be expressed as a ratio. Ex. 1 is also 1/1 or 2/2 or 3/3.
100
What does a sigma look like?
It looks like a Z and an E had a baby.. I'll draw it on the board!
100
What is a binomial?
Bi= two
Nomial= terms
So! Two terms. Ex: (a+b) or (x+y)...
100
What is a logarithm? and/or what do they do?
A logarithm is the way to figure out what an unknown exponent is.
So if something is to the x power, we can find it!
100
What is a Vector?
Not the super villain from despicable me! Well kinda, it's a quantity that has both magnitude and direction!
200
What is an irrational number?
A number that can't be expressed as a ratio, and decimals that do not repeat! Ex. Square root of 2, Pi, phi..
200
What does sigma mean?
The sum of!
200
What is 4 choose 2? (Look at the board!)
6!
200
What is the abbreviation for logarithm in equations and on your calculation?
Bonus points if you can write the logarithmic equation for: 2^x=16
Log!
Bonus: On the board!
200
What is "magnitude"?
The distance of a point from the origin.
300
If rational numbers are all whole numbers, and any repeating decimal, are there more rational numbers than irrational numbers?
Not necessarily! Between every two rational numbers there is at least one irrational number. THEY ARE BOTH INFINITE
300
Sigmas show values; where are the values located on a sigma?
BONUS: what do they mean?
The values are found on the top and bottom of the sigma, I'll show on board.
These values show where you "start and stop" so to speak.. They show you what to sum up! (On board)
300
What does "factorial" mean?
like, what does 4! mean?
(Answer either)
Factorial is the number multiplied by all it's parts
so 4! is 4x3x2x1
So 2! is 1x2=2
or 5!=5x4x3x2x1=120
Get it?
300
If anything to the zero power is 1..
Then what is Log base 50 by 1?
(To what power do I need to put 50 to, to get 1?)
Zero!!!! Because zero.. power.. is.. one.. hah..
300
How can magnitude be calculated if we have the vector (3,4)?
The Pythagorean theorem. If you look, its just a right triangle!
400
Is the sum of an irrational and a rational a rational value or an irrational value? The product?
They are both irrational! It's kinda like negatives, times a positive by a negative get a negative; times a rational by irrational get an irrational. The same goes with addition
400
If the Sigma says I need to sum 2-6 what am I summing up? and what's the answer?
2+3+4+5+6!
the answer would be 20!
400
What is this?
(look at the board!)
It's the binomial theorem!
Yeah.. It looks really fun! It's not! But it's useful.. Cue another description of the parts...
400
(NO CALCULATOR))
What is Log (base 2) of 16?
To what power do I need to put 2 to, to get to 16?
4 because:
2x2x2x2=16!
400
So if you just need to use a^2+b^2=c^2
What IS the magnitude of vector (3,4)
5! Because:
9+16=25
square root of 25= 5
500
Label these values as rational or irrational:
4.463463123...
7
7.777777777
3.14159..
square root of 7
BONUS! Since I don't have a whole class period to teach, (this is pretty complex) I will do a quick equation on the board just to give you an idea.
What is (a+b)^4 Ian?
AFTER ALL THAT METH-I MEAN MATH I came to:
a^4+4a^3b+6a^2b^2+4ab^3+b^4
Wooooow .-.
500
Did you know your calculators only do logs with a base of 10? Yeah, it sucks..
So! To fix that, divide the log(of) by log(base) to get the exponent.
That being said: what is Log(base 46) of 24? Round to the second decimal place.
.83
500
What is x in vector (6,x) when the magnitude= 9.23