Precal Blog

So I noticed there were a lot of comment requests in past posts for a yellow sheet update and I think I should have most of them, but I might be missing some so here are the ones that I have and if you have ones I don’t or something different please comment back!

15-2
15-4
14-2
14-3
9-2
9-3
9-4
9-5
9-6
9-7

Just like last time I’ll give a little homework every night and the problems that I’m giving will become the set from which I’ll pick the claims.

From 9-7: 1,2,8

Just a reminder that you are responsible for the following claims starting Monday. Claim style is up to the new Mr. B. They may be “live” as normal, handed in, “quiz” style, or …?

9-2: 1,2
9-3: Any of the odds
9-4: 1,4,9,11
9-5: 18,19,27

It has been a pleasure serving as your mathematical steward these past few days. Make an effort to finish the year as strong as you can.

By the time this class came around, i was gassed, like literally gassed. I’ll try and tell you what we learned today but i’m not making any promises, but before i get to this, i want to thank natalie for so kindly and maturely nominating me for the blog, she is just so observant. Well whatever, i’m not gonna cry over spilt milk

Ok so in class we had a blastly blast learning about the size of Mr. B’s tonsils. we all had a good laugh. Then we moved on to talking about ice cream and how many differnt combinatinons we could have if we wanted 3 scoops of 3 different flavors. Then we tossed in a baskin robbins name drop, and i think i missed the rest of the lesson. The new teachers voice just lulled me to sleep i think. Whatever i’m not gonna lie about it.

By special request. (You can thank Liz.)

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Well i’m siting here in programming 2 writing this blog for the second time since my last blog could not be published due to the week connection here on the high school grounds. So now i’m angry and upset that my witty and clever blog won’t be posted, but thats good cuz at least i won’t stoop as low as to bash anyone on the blog. Lucky me. Ok well I see my blog now as being pointless since lizzie thought it to be a grand idea on her part to have the slides posted on the blog by Mr. B. and since that was done, i have nothing else to say. except ill give you a quick run through of what happened today in class. Tonsils, ice cream, baskin robbins, nap. That was the day in a sentence. The scribe for tomorrow is…

Note: Lost fragment of original post found!
Today we started class with me not there, so I’m pretty much just going on the 20 minutes I was there. Also, this is my second blog post this cycle, so I expect some sort of extra credit(cake would be nice). Today we learned about permutations, a list of numbers where order matters. The equation given to solve this was N!/N-K!. The ! means factorial, which is multiplying the number you factorialized by every positive integer lower than it. As an example, 4!=4*3*2*1.

Today we were taught by a stranger about probability. Some people acted like they knew the guy but I for sure have never seen him before. We learned an important equation: P(E)=n(E)/n(S) which basically means that simple probability equals the probability of a specific event over the probability of all events. A compound event is 2 or more events occuring. When this happens you have to choose between the “or” equation or the “and” equation. The “or” equation is P(A or B)= P(A) + P(B)-P(A intersectionsign B). The “and” equation is p(A and B)= P(B|A)x (PA). The funky part means “B given A”.

Claims: 9-2 #1,2 and 9-3 #1-16 odds
Probability of me doing them: 1/a million … just kidding… .. .

Next scribe: Nick Yurk?

Today’s class was taught by Mr. Bienek
mr. byrne wasnt here
so heres the information

p(E)=n(e)/n(s)
simple probabilty
probability of events equals the number of events divided by the sample space

dont simplfy fractions though cause info is lost in the symplifiying of equations.

compound event(2 or more events occur)

type A(one or the other)
p(A or B)= P(A)+P(B)-P(A unison symbol B) for not mutually exclusive
p(A or B)= P(A)+P(B) for mutually exclusive

Type B(both events occur)
P(A and B)= P(A)*P(B|A) Dependent (probibility of B given that A occurred)
P(A and B)= P(A)*P(B) Independent

Short sweet and to the point
the next scribe is phil

As you can see from looking at the blog, no one has scribed in our class for the last two weeks or so. Because of this, and because I do not have many blog entries to put in my semester portfolio, I have asked the new Mr. B if I could volunteer myself and scribe for today as well as yesterday.

Yesterday, May 12th, we simply took a test on the latest six learning targets. I personally felt that the test was a little bit more challenging than I had expected it to be, but I still did very well on it for I felt that the concepts of this unit were not to difficult to grasp (**if you studied and did your homework**) I also herd from others today who said that they felt the test was any where from “Ridiculous, as always because I never study. I feel that I got a 0-0-6” to someone who said “It wasn’t that bad I think I did pretty well”.

I guess it all just depended on how much you pay attention in class and if you do any studying at all.

However, my favorite quote that I heard still has to be “Wait, what’s a limit?” Nice, the day of the test, actually just minutes before a test on limits and you are unsure of what a limit is. Wow! Your calling for an A+ on this test!!

………………………………………………………………………………………………

As for today we began a new unit. We began discussing the basics of probability. Because many people were once again gone do to AP Exams, we only spent about 25 min skimming the basics of probability, and the rest of the hour was spent reviewing our scores from yesterday’s tests.

This is what we went over today:

First we covered a few definitions on probability.

*Random experiment- when you through dice
*Outcome- What shows up
*Sample space- how many total things could happen.
Example dice- 36 Coin-2 (either heads or tails)

And the general definition of probability:
*Probability- # of outcomes in Event divided by
# of out comes in sample space
Then we were told to look at pg 358 in our text books for further notes, but one important equation on that page is

P(E) = N(E) (# of outcomes of event) divided by
N(S) (# of outcomes in sample space)

As you can see this is another way to write the equation for probability!!

Then we talked about the possible outcomes if you drop a quarter, a dime, and a nickel, which are:
(Listed in the order of Quarter Dime Nickel)
1. H, H, H
2. T, T, T
3. H, H, T
4. H, T, T
5. T, H, H,
6. T, T, H
7. T, H, T
8. H, T, H
We learned that the probability of outcome is 1/8, and the probability of event is ½ because there is a one out of eight chances to go a certain set like to roll a H, T, H, but a one out of two chance to roll a certain thing like for instance the dime being a Heads.

Then we were told:
*Event: exactly two tails are tossed, and we were to find the probability. By counting all of the times where only two tails were tossed you can see that the probability of this is three out of eight times! Thus the probability is 3/8.

*Event: Dime lands heads up by looking at the options you see that the dime lands heads up four out of the eight chances or ½ of the time. Thus, ½ is the probability of the dime landing heads up. (Or, you can just think of it as the dime will either land heads up, or tails up. 50% of the time one way and 50% of the time the other!)

This pretty much covers everything that we went over in learned today in class!!

Now, I would say the next scribe is…. But we all know that no one from 6th hour is really going to scribe anyways so what’s the point… If you want to scribe ask me and ill let you know if anyone else is already!
Bye!

I realized when I walked into class today that Kellie couldn’t scribe today because she was off having oodles of fun taking the AP Chem exam. So I’ll just do it again ( Maybe it will make up for my pitiful test score yesterday!!!).

Today we started a new unit on probability. Math Man started class by giving us a list of vocab words which are “essential” to understanding probalility.

Probability: the chance an event will happen given a sample space

Random Experiment: rolling dice, flipping a coin, etc.

Outcome: heads, tails, 1, 2, 3, 4, 5, 6, etc.

Event: example- how many times 3 would appear when rolling a dice

Sample Space: 36 combonations of dice, 52 cards in a deck to choose from

Next, we took notes on whant makes up a probability. You can copy the notes from below or if you’re super lazy just read them from the book on page 358.

Probability= Event/Sample Space

Example: Probability of rolling a 6 with two dice= 5/36

The more general form of this equation is P(E)=n(E)/n(S). You don’t need to know this for tomorrow but eventually we will need to use this.

Next we did an example using a quarter, a dime, and a nickel. In this activity we made a list of all the combonations of heads and tails that would be possible. There were eight total. I’m not going to put them on here because I think everyone is smart enough to figure those out yourself. Then we looked at what the probability was that 2 tails would occur (3/8) and the probability that a dime would be tails (4/8 or 1/2).

Next Math Man showed us an example of a circle with 2/3 of it white and the other 1/3 red. He then asked us what the probability was of the spainner landing on the white. Well, since there is one part white, the numerator or event would be 1. Next you have to find the sample space, this would be 2 because there is 2 colors. This however gives you a probability of 1/2. Which isn;t true because the white section if bigger than the red. So this is a warning to everyone. Sometimes the probabilities aren’t correct. So be careful!!

After this we just did some practice probability problems because Math Man didn’t want to get to far into the unit when more than half the class was gone.

Homework for tomorrow:
- Section 9-2 #’s 1 and 2

After this we kinda got bored so we asked Math Man to help us get ready for the final exam. His words of wisdom are below.

“Stop goofing off in class!!”

No but really he told us to make flashcards, come after school for help before the night before the test, and (my personal favorite), figure out how many you have to do to get an A and forget the rest! Focus on enough to get the grade, this way you won’t kill yourself studying things you didn’t need to know. Also you will be guaranteed at least a proficient on them immensly helping your grade. Now i know he didn’t word it exactly like that but overall that was the jist.

Reminders for tomorrow:
- start figuring out what you need to do for the final exam
- do section 9-2 #’s 1 ans 2 (possibly for claims!!)

Scribe for tomorrow….. Kellie. Have fun!!