Quite a number of people have asked to see my Counting test, so I just scanned it and decided to post it here. Page 1 Page 2 Page 3 Page 4 I found this unit extremely easy. The stuff looked like nonsense and garbage to me from the start, but when I actually looked at the stuff, I realized that I was wrong. The folding of the papers did not help me however. Nevertheless, it was Mr. K’s method to help us understand every one of the conic sections. You must basically understand the anatomy of each conic section. That is the key to solving the questions. Other than that, the unit test should be easy. Well, I hope it is. WATCH OUT WHEN DOING/DRAWING THE VERTICES AND FOCII. IT’S OBVIOUS THEY’RE NOT THE SAME, BUT EVEN PEOPLE THAT KNOW THAT CAN MAKE MISTAKES WHEN DRAWING THEM. SOME PEOPLE USE THE FOCII AS THE VERTEX BY ACCIDENT OR ADDRESS THEM INCORRECTLY WHEN ANSWERING QUESTIONS !!!!! Hyperbola The transverse axis extends from the vertices of the hyperbola. This does not have a fixed orientation. It can be either horizontal or vertical. It can be found by using “2a.” Two semi-transverse axes complete a full transverse axis. The conjugate axis is the perpendicular bisector of the transverse axis, meaning it cuts the transverse axis in half at a 90 degree angle. This does not have a fixed orientation. It can be either horizontal or vertical. It can be found by using “2b.”Two semi-conjugate axes complete a full conjugate axis. For the conjugate and transverse axes, watch out for what the question asks for. Some may ask for the “semi axis” while some may ask for just the “axis.”
Ellipse Worksheet on Ellipse The major axis is the longest of the axes. Two semi-major axes complete the major axis. The minor axis is the shortest of the axes. Two semi-minor axes complete the minor axis.
Circle Video on Circle Worksheet on Circles The circle is like the ellipse’s brother. They’re pretty much the same except the circle has radii equidistant from the circumference to the center of the circle. Parabola Video on Parabola Worksheet on Parabola The parabola is very easy to understand. There is one focus which is the same distance as the directrix from the vertex of the parabola. Question If the focus is to the left of the vertex, what direction does the parabola open? It opens to the left. ![]() Probability |
Showing posts with label aldrins. Show all posts
Showing posts with label aldrins. Show all posts
Wednesday, May 27, 2009
Scribe and Bob Post
Wednesday, May 13, 2009
Bob = 8 Permutations and 5 Combinations
It's Aldrin S. here.
I found this unit to be quite interesting, yet it is the first I encountered that is actually difficult to master. You really need to use your head for this unit. There are myriads of word problems that can be made, which do not allow for a way to be answered in a consistent manner. That is the beauty of this unit. One must really understand patterns and know what to do based on the information that is provided by the question. It is very important to KNOW what the question is asking for since this is usually why students get wrong answers. They misinterpret what is being asked, which leads them to doing their math wrong.
Personally, I find this unit hard. I am pretty rusty and can easily get owned by a word problem. My main problem deals with the poker combinations. The poker combination questions are quite killer. I think I just do not know how to begin solving these questions. I looked at wikipedia and analyzed the combinations of poker hands. The mathematical expressions of absolute frequencies that are stated are very understandable, except when those values are not present within my sight, I get owned basdly. As for everything else, I think I’m good. I’m just 75% prepared for the test.
What is a permutation?
The number of ways things can be arranged where order is a factor.
What is a combination?
The number of ways things can be chosen where order does not matter. Basically, it is a selection. I want ABC. No wait, I want CAB, oh wait.. They're the same thing.
What is the difference between a permutation and combination?
Order matters in a permutation whereas it doesn't in a combination. A combination is just a selection of things or people.
Do you explicitly label your numeric values when showing your work? (the thing Mr. K warns us that we can lose marks for)
4 x 2 x 1 = 8
See that 4 over there, the 4 represents the number of ways ... Something like that lol.
Do you know to divide the product by two for a bracelet when you use the circular permutation formula for finding the number of arrangement for beads?
The wording of that question is not that great, but remember use the special circular formula where u subtract one from the original number, then find the factorial of that, then divide by two.
Do you know lots about the binomial theorem and Pascal's Triangle? cuz i don't jk
Know how to find the terms and what term consists of x^7 for example. Know the patterns and what not too!
Are you memorizing how to do things for word problems?
because that's a no no.
Poker Combinations
Given a standard deck of 52 cards, how many ways are there to draw 5 cards to obtain each hand.
There are 52 cards. You must choose 5. Order does not matter, nor does the type of hand.
a) Royal Flush
There are 4 suits and you can only get a Royal Flush once in each suit.
b) Straight Flush
There are 4 suits. How many ways can you get a straight in one suit? You can do it in 10 ways but Mr. K eliminated the Royal Flush, so it's just 9 now for each suit. 9 ways x 4 suits = 36. Or you can do this. 10C1 * 4C1 - 4C1 because the 10C1 * 4C1 gets all the ways to make straight flushes. Then subtracting 4C1 is actually subtracting the number of ways to get a royal flush.
c) Four of a Kind
There are four suits. How many cards are in each suit? How many cards are left after 4 are used?
d) Full House
You choose one card from one suit, which has 13 cards. In order to obtain a TRIPLE, you should know that there are 4 suits and from 4, you choose 3. It should be like 13C1 * 4C3 . You see, these guys are like brothers. The 13 is what it is because it corresponds to each suit. Disregard multiplying 13 by 4. Now you just choose 1 card from the 13. So for 4C3, this is the DUDE that makes the 13C1 affected by all suits. They're like brothers you see. There are 4 suits and 3 must be chosen.
As for the DOUBLE, you should know that there are no longer 13 numbers from each suit to choose from since the TRIPLE eliminated those choices. *There are 12 now* So there are 4 suits, and you choose 2. It should be like 12C1 * 4C2. You see, because of the TRIPLES, it eliminated a number to make doubles ! So its like a have a triple of 5s. Now I no longer have 5s to make doubles and that affects each suit. Aww too bad. So as for 4C2, it makes the 12C1 you know, be affected by all 4 suits.
e) Flush - toilet flush hehe
In a suit, there are 13 cards. You must choose 5 from one suit. There are also 4 suits. It should be like 13C5 * 4C1. Remember the 4C# makes the 13C# or 12C# or whatever it is correspond to all the suits ! Uhmm. Or, you can say the 4C# makes what you choose be available from 4 suits. If it was 3C#, then I can only choose from 3 suits.
Now you just subtract the number of Straight flushes ! It says ignore Straight flushes and Royal flushes. We can just ignore the royal flushes since the straight flushes takes care of the royal flushes.
So for the straight flushes, figure out the number of ways a straight can be achieved, then multiply that value by the number of suits. There are 10 ways in each suit since 1-5, 2-6, 3-7, 4-8, 5-9, 6-10, 7-11, 8-12, 9-13, 10-1. It should be like 10 * 4C1
f) Straight
They don't have to be in the same suit and he doesn't want Straight Flushes. So basically, it's like 10 * 4C1 * 4C1 * 4C1 * 4C1 * 4C1 - 10 * 4C1. So there are 10 ways to make a straight. Multiply that by 4C1 ^ 5 because each 4C1 is a single event in which you pick a successive card from a choice of 4 suits! Basically, it's like this. I choose ace of hearts, two of spades, three of spades, four of clubs, 5 of hearts. There was no diamonds because there doesn't have to be diamonds. The spades was repeated because it can repeat. You always have 4 suits to choose from when choosing 1 card. You have to do this 5 times because there are 5 cards ! As for the subtraction, it's evident from the question earlier.
*Imma just put very short explanations now since you should be good at this by now*
g) Three Of A Kind - One of a Kind times 3 :P
13C1 * 4C3 * 12C2 * 4C1 * 4C1
13 cards per suit, I choose 3 cards from the 4 suits. This leaves me with 12C2 because if it was 13, then I'd still be able to get the card I got earlier. However, That would make me get Four of a kind instead of Three of a kind. So I choose two cards while the 4C1^2 are the two events where I choose from 4 suits. So thats 2 times I choose !
h) Two Pairs
13C2 * 4C2 * 4C2* 11C1 * 4C1
Boo yah ! No explanation ! You're a master now !
Forgot to do One Pair and No pair. You guys can do it without my help now cuz you're pro now !
Check if your delicious link is here !
I found this unit to be quite interesting, yet it is the first I encountered that is actually difficult to master. You really need to use your head for this unit. There are myriads of word problems that can be made, which do not allow for a way to be answered in a consistent manner. That is the beauty of this unit. One must really understand patterns and know what to do based on the information that is provided by the question. It is very important to KNOW what the question is asking for since this is usually why students get wrong answers. They misinterpret what is being asked, which leads them to doing their math wrong.
Personally, I find this unit hard. I am pretty rusty and can easily get owned by a word problem. My main problem deals with the poker combinations. The poker combination questions are quite killer. I think I just do not know how to begin solving these questions. I looked at wikipedia and analyzed the combinations of poker hands. The mathematical expressions of absolute frequencies that are stated are very understandable, except when those values are not present within my sight, I get owned basdly. As for everything else, I think I’m good. I’m just 75% prepared for the test.
What is a permutation?
The number of ways things can be arranged where order is a factor.
What is a combination?
The number of ways things can be chosen where order does not matter. Basically, it is a selection. I want ABC. No wait, I want CAB, oh wait.. They're the same thing.
What is the difference between a permutation and combination?
Order matters in a permutation whereas it doesn't in a combination. A combination is just a selection of things or people.
Do you explicitly label your numeric values when showing your work? (the thing Mr. K warns us that we can lose marks for)
4 x 2 x 1 = 8
See that 4 over there, the 4 represents the number of ways ... Something like that lol.
Do you know to divide the product by two for a bracelet when you use the circular permutation formula for finding the number of arrangement for beads?
The wording of that question is not that great, but remember use the special circular formula where u subtract one from the original number, then find the factorial of that, then divide by two.
Do you know lots about the binomial theorem and Pascal's Triangle? cuz i don't jk
Know how to find the terms and what term consists of x^7 for example. Know the patterns and what not too!
Are you memorizing how to do things for word problems?
because that's a no no.
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
Poker Combinations
Given a standard deck of 52 cards, how many ways are there to draw 5 cards to obtain each hand.
There are 52 cards. You must choose 5. Order does not matter, nor does the type of hand.
a) Royal Flush
There are 4 suits and you can only get a Royal Flush once in each suit.
b) Straight Flush
There are 4 suits. How many ways can you get a straight in one suit? You can do it in 10 ways but Mr. K eliminated the Royal Flush, so it's just 9 now for each suit. 9 ways x 4 suits = 36. Or you can do this. 10C1 * 4C1 - 4C1 because the 10C1 * 4C1 gets all the ways to make straight flushes. Then subtracting 4C1 is actually subtracting the number of ways to get a royal flush.
c) Four of a Kind
There are four suits. How many cards are in each suit? How many cards are left after 4 are used?
d) Full House
You choose one card from one suit, which has 13 cards. In order to obtain a TRIPLE, you should know that there are 4 suits and from 4, you choose 3. It should be like 13C1 * 4C3 . You see, these guys are like brothers. The 13 is what it is because it corresponds to each suit. Disregard multiplying 13 by 4. Now you just choose 1 card from the 13. So for 4C3, this is the DUDE that makes the 13C1 affected by all suits. They're like brothers you see. There are 4 suits and 3 must be chosen.
As for the DOUBLE, you should know that there are no longer 13 numbers from each suit to choose from since the TRIPLE eliminated those choices. *There are 12 now* So there are 4 suits, and you choose 2. It should be like 12C1 * 4C2. You see, because of the TRIPLES, it eliminated a number to make doubles ! So its like a have a triple of 5s. Now I no longer have 5s to make doubles and that affects each suit. Aww too bad. So as for 4C2, it makes the 12C1 you know, be affected by all 4 suits.
e) Flush - toilet flush hehe
In a suit, there are 13 cards. You must choose 5 from one suit. There are also 4 suits. It should be like 13C5 * 4C1. Remember the 4C# makes the 13C# or 12C# or whatever it is correspond to all the suits ! Uhmm. Or, you can say the 4C# makes what you choose be available from 4 suits. If it was 3C#, then I can only choose from 3 suits.
Now you just subtract the number of Straight flushes ! It says ignore Straight flushes and Royal flushes. We can just ignore the royal flushes since the straight flushes takes care of the royal flushes.
So for the straight flushes, figure out the number of ways a straight can be achieved, then multiply that value by the number of suits. There are 10 ways in each suit since 1-5, 2-6, 3-7, 4-8, 5-9, 6-10, 7-11, 8-12, 9-13, 10-1. It should be like 10 * 4C1
f) Straight
They don't have to be in the same suit and he doesn't want Straight Flushes. So basically, it's like 10 * 4C1 * 4C1 * 4C1 * 4C1 * 4C1 - 10 * 4C1. So there are 10 ways to make a straight. Multiply that by 4C1 ^ 5 because each 4C1 is a single event in which you pick a successive card from a choice of 4 suits! Basically, it's like this. I choose ace of hearts, two of spades, three of spades, four of clubs, 5 of hearts. There was no diamonds because there doesn't have to be diamonds. The spades was repeated because it can repeat. You always have 4 suits to choose from when choosing 1 card. You have to do this 5 times because there are 5 cards ! As for the subtraction, it's evident from the question earlier.
*Imma just put very short explanations now since you should be good at this by now*
g) Three Of A Kind - One of a Kind times 3 :P
13C1 * 4C3 * 12C2 * 4C1 * 4C1
13 cards per suit, I choose 3 cards from the 4 suits. This leaves me with 12C2 because if it was 13, then I'd still be able to get the card I got earlier. However, That would make me get Four of a kind instead of Three of a kind. So I choose two cards while the 4C1^2 are the two events where I choose from 4 suits. So thats 2 times I choose !
h) Two Pairs
13C2 * 4C2 * 4C2* 11C1 * 4C1
Boo yah ! No explanation ! You're a master now !
Forgot to do One Pair and No pair. You guys can do it without my help now cuz you're pro now !
Check if your delicious link is here !
Thursday, April 30, 2009
BOB
Alright, I practically have no time to provide this BOB with any mathematical help. I'm confident about this unit as well. However I must complete my super important English assignment asap. I suggest looking at the slides, doing homework, MENTALLY REVIEW (without paper), and increasing your confidence by means of saying stuff like "im gonna rock this test!" And you do not have to say that stuff, but like just believe that youre gonna smoke the test because it is helpful. Good luck everyone!!
IS YOUR DELICIOUS LINK HERE ??
HERE!!!!
IS YOUR DELICIOUS LINK HERE ??
HERE!!!!
Monday, April 27, 2009
PC40SW09 Math Warriors
Greetings PC40SW09 Math Warriors. Anyways, it is our duty to conceive and master the art of mathematics. We will utilize our skills and knowledge by annihilating every test and quiz that comes in our way. Will we be prepared? Yes and this is because we will study, do homework, ask questions, and attempt to apprehend math in various ways.
Yes yes, my scribe post is weaksauce haha. All we did today was receive a sheet from a substitute because Mr. K was absent. This post focuses on that worksheet as well as some random stuff I decided to input since I felt that my scibe post was naked and devoid of the natural scribe essence.
Yes uhh, theres this arrow at the top left of this slide thingy to zoom in. Silly slideshare takes so long. Waited for an hour and the thing wasnt even published yet, so I found a new resource. That's why this is late. And only three of the slides are derivative. The rest were made by me with my tablet and scanner.
These slides are for April 27, 2009.
JONNO YOU LUCKY DUCKY!! I grant you the obligation to scribe tomorrow
Yes yes, my scribe post is weaksauce haha. All we did today was receive a sheet from a substitute because Mr. K was absent. This post focuses on that worksheet as well as some random stuff I decided to input since I felt that my scibe post was naked and devoid of the natural scribe essence.
Yes uhh, theres this arrow at the top left of this slide thingy to zoom in. Silly slideshare takes so long. Waited for an hour and the thing wasnt even published yet, so I found a new resource. That's why this is late. And only three of the slides are derivative. The rest were made by me with my tablet and scanner.
Publish at Scribd or explore others:
These slides are for April 27, 2009.
JONNO YOU LUCKY DUCKY!! I grant you the obligation to scribe tomorrow
Wednesday, April 22, 2009
aldrin's DEV Timeline
I have deattached the name Sheldon Cooper from myself. I shall rename my tags from delicious and the blog too. Anyways,
April 25 - Complete Q1 on website
May 2 - Complete Q2 and Q3 on website
May 9 - Complete Q4 and Q5 on website
May 16 - Complete Q6 on website, do reflection, add extras
May 23 - Enhance website
May 30 - Just chill
June 6 - Chill once again, and possibly re-enhance/improve website
June 7 - My chosen final due date
Yeah, I'm solo and doing six. Don't criticize me :P I think I'll be finished my project by like May 9 though, so my timeline is exceedingly off.
April 25 - Complete Q1 on website
May 2 - Complete Q2 and Q3 on website
May 9 - Complete Q4 and Q5 on website
May 16 - Complete Q6 on website, do reflection, add extras
May 23 - Enhance website
May 30 - Just chill
June 6 - Chill once again, and possibly re-enhance/improve website
June 7 - My chosen final due date
Yeah, I'm solo and doing six. Don't criticize me :P I think I'll be finished my project by like May 9 though, so my timeline is exceedingly off.
Tuesday, April 7, 2009
BOB
Okay, I do not know what to put in this BOB. All I have to say is this unit was interesting and momentous as it pertains to basic mathematics and somewhat advanced mathematics.
Ahh.. Well.. This is the third tribulation that has been casted upon us in our class. I suggest that you study if you are not confident. Just practice and practice. And to those who are confident, I suggest you study, or euphemistically REVIEW to increase the chances of attaining an honourable mark. I am fairly confident. I'll study tomorrow because my mind is currently devoid of focus and I don't want to harness any.
Hmmmmmmmmmmmmmmmmmmmmmmmm... I do not have any actual mathematical tips because everything that you need to know is in this blog and possibly your mind. It's up to you to make the effort to find the stuff. PJ has some good stuff I think. I just saw that his post was long haha. Interesting way to deduce..
What else.... Here's a brief characterization on the way I approach things. I'll try my best, which will most likely be not enough because describing the way the complex brain operates is difficult.
Read the question.
Interpret the given information, which can be direct but not always.
Make note of that information mentally, on paper, or whatever. Well, not necessarily make note, but if it helps then go for it, but I mean just know and understand what's given ha.
Attempt the question mentally and if you fail, too bad.
Try again with the same method or other methods.
Keep trying or skip.
If I get an answer, I take several other approaches to verify that my answer is possibly right.
Well, that looks like nonsense to me up there, but I'll leave it.
Good luck !
Ahh.. Well.. This is the third tribulation that has been casted upon us in our class. I suggest that you study if you are not confident. Just practice and practice. And to those who are confident, I suggest you study, or euphemistically REVIEW to increase the chances of attaining an honourable mark. I am fairly confident. I'll study tomorrow because my mind is currently devoid of focus and I don't want to harness any.
Hmmmmmmmmmmmmmmmmmmmmmmmm... I do not have any actual mathematical tips because everything that you need to know is in this blog and possibly your mind. It's up to you to make the effort to find the stuff. PJ has some good stuff I think. I just saw that his post was long haha. Interesting way to deduce..
What else.... Here's a brief characterization on the way I approach things. I'll try my best, which will most likely be not enough because describing the way the complex brain operates is difficult.
Read the question.
Interpret the given information, which can be direct but not always.
Make note of that information mentally, on paper, or whatever. Well, not necessarily make note, but if it helps then go for it, but I mean just know and understand what's given ha.
Attempt the question mentally and if you fail, too bad.
Try again with the same method or other methods.
Keep trying or skip.
If I get an answer, I take several other approaches to verify that my answer is possibly right.
Well, that looks like nonsense to me up there, but I'll leave it.
Good luck !
Saturday, March 14, 2009
Wednesday, February 18, 2009
BOB - as it was called in past years
Hey everyone ! Allow me to preface this post by saying that this is a very good class and Mr. K. has an exceptional way of teaching. I understand that one should create a blog post prior to Circular Functions Test, so I just wanted to create mine now since all yall can read this stuff one day earlier rather than just the day before the actual test.
Anyways, this unit is almost over and I'm confident. At my first encounter with this unit, I was appalled and just disgusted, which is way of saying “Oh my gosh! How am I supposed to do this?!?” This was last summer though, so I immediately gave up. I actually tried being diligent back then, and now, I plan to remain diligent.
Anyways, comprehending the unit circle was not such a laborious task to me. The pattern is very self-evident. Mr. K. had helped elucidate several math concepts. Nevertheless, I do have the propensity to make silly mistakes. Other than that, I am fairly prepared, but I am still going to study to ensure that I am at my best.
So here are some things that hopefully aid you on the test. In addition, I know that this is basic mathematics and is common sense, but people get stressed out and forget the easiest things, which consequentially leads to mistakes. So these are my efforts to help.
Area of Circle = πr^2
Circumference of a Circle = 2πr, πd
When the denominator is zero, the answer is undefined. For example, Tan(π/2)= 1/0 , therefore, undefined. Another example is Csc(π) = 1/sin(π) = 1/0, therefore undefined.
Remember that Mr. K wants your work to be written in a vertical manner and that if there is no solution or the answer is undefined, state it.
When obtaining the square root, two values can be achieved. The square root of 4 = ±2. Do not forget that. Another example is R^2 = S + T. Therefore R = ± squareroot of (S + T) .
Here is another common mistake. (sin x)(tan x) = (sin x) A rational thing to do would be to isolate tan(x) to equal 1. However, that only obtains a partial bit of the actual answer. What you do is transpose sin(x) from the right side to the left side. After that, you factor out sin(x) which results in sinx(tanx – 1) = 0.
Cosx and sinx has a range of [-1,1] . Anything less than -1 or greater than 1 leads to "undefined"
DABC – mnemonic for parameters
Round to a minimum of 4 decimal places yall when necessary.
If you finished all of your exercises, review them. If you didn't finish them, go do them!
Check out some Youtube videos, past Precal Blogs, other websites, that online course website (merlin), and PC40s Mb site.
Good luck and ask questions if you have any problems.
Anyways, this unit is almost over and I'm confident. At my first encounter with this unit, I was appalled and just disgusted, which is way of saying “Oh my gosh! How am I supposed to do this?!?” This was last summer though, so I immediately gave up. I actually tried being diligent back then, and now, I plan to remain diligent.
Anyways, comprehending the unit circle was not such a laborious task to me. The pattern is very self-evident. Mr. K. had helped elucidate several math concepts. Nevertheless, I do have the propensity to make silly mistakes. Other than that, I am fairly prepared, but I am still going to study to ensure that I am at my best.
So here are some things that hopefully aid you on the test. In addition, I know that this is basic mathematics and is common sense, but people get stressed out and forget the easiest things, which consequentially leads to mistakes. So these are my efforts to help.
Area of Circle = πr^2
Circumference of a Circle = 2πr, πd
When the denominator is zero, the answer is undefined. For example, Tan(π/2)= 1/0 , therefore, undefined. Another example is Csc(π) = 1/sin(π) = 1/0, therefore undefined.
Remember that Mr. K wants your work to be written in a vertical manner and that if there is no solution or the answer is undefined, state it.
When obtaining the square root, two values can be achieved. The square root of 4 = ±2. Do not forget that. Another example is R^2 = S + T. Therefore R = ± squareroot of (S + T) .
Here is another common mistake. (sin x)(tan x) = (sin x) A rational thing to do would be to isolate tan(x) to equal 1. However, that only obtains a partial bit of the actual answer. What you do is transpose sin(x) from the right side to the left side. After that, you factor out sin(x) which results in sinx(tanx – 1) = 0.
Cosx and sinx has a range of [-1,1] . Anything less than -1 or greater than 1 leads to "undefined"
DABC – mnemonic for parameters
Round to a minimum of 4 decimal places yall when necessary.
If you finished all of your exercises, review them. If you didn't finish them, go do them!
Check out some Youtube videos, past Precal Blogs, other websites, that online course website (merlin), and PC40s Mb site.
Good luck and ask questions if you have any problems.
Saturday, February 7, 2009
Exact Values on Feb. 6
What’s up y’all ! It’s Sheldon Cooper here as the scribe or just Aldrin S.! In case you forgot or just didn’t see, the chat box has been implemented, so chat away y’all. Oh and if a spontaneous voice comes through your speakers, it’s the yackpack, which allows you to communicate with others through speech. Anyways, enough of this excess textual nonsense. Let us get down to business !
At the start of class, we were immediately designated numbers to assemble into seven groups. After Mr. K. allocated us, it was straight to the smart board from there. Today’s topic was Exact Values in the Unit Circle, nothing Mr. Johnson didn’t already know. Right Johnson!

Mr. K. firstly introduced the lesson with a comical image or just an image one would characterize as altered. The first question was this:

Hover over this image for an explanation.
The next problem we tackled was this.

Hover over this image for an actual solution.
After witnessing PJ and Dion demonstrate their solutions to this question, we played "Guess My Sine!" In this game, we were to figure out the sine or cosine of an angle before Mr. K could. Mr. K was pretty fast but I managed to beat him at some while I was chilling with Kale. Before I begin explaining the exact values of certain angles, I must show you these values can be derived !

Hover
Now let us get to the EXACT VALUES !

Hover

Hover
If you guys have any questions or need some help or confirmation, post your problems in the blog. Use it to your advantage muahahha !
Figure out the next scribe...

At the start of class, we were immediately designated numbers to assemble into seven groups. After Mr. K. allocated us, it was straight to the smart board from there. Today’s topic was Exact Values in the Unit Circle, nothing Mr. Johnson didn’t already know. Right Johnson!
Mr. K. firstly introduced the lesson with a comical image or just an image one would characterize as altered. The first question was this:
Hover over this image for an explanation.
The next problem we tackled was this.
Hover over this image for an actual solution.
After witnessing PJ and Dion demonstrate their solutions to this question, we played "Guess My Sine!" In this game, we were to figure out the sine or cosine of an angle before Mr. K could. Mr. K was pretty fast but I managed to beat him at some while I was chilling with Kale. Before I begin explaining the exact values of certain angles, I must show you these values can be derived !
Hover
Hover
Hover
Figure out the next scribe...
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