#precalc problems

[er-cryptid]

Synthetic Division [Ex. 2]

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[sageisntamathperson]

Guys HOW do you keep yourself from making dumb mistakes in very long math problems 😭 I have ADD, and I keep forgetting a negative sign or something and getting problems it takes 15 minutes to do horribly wrong

[math-journal2]

<— x —>

Unit 10: Part 4

Application Problems

*each pic own problem

.

Exponents

Investment exponent problem

Increase of 1.35% interest per year

f(x) = a(1.0135)^x

Or a(1 + 0.0135)^x

.

Compound Interest

Always simplify the (1 + r/n) part

Will lose credit otherwise if equation is an answer

Exponent Normal

Exponent e^x

-Half Life

Newton’s Cucking Law of Cooling

Be very aggressive in labelling

It may look like this..

Or it may decide it wants to stab you and look like this

Key:

Determine known variables

Whatever is left is unknown

Unlike with Decibel and Richter test, you don’t need to keep 2 different equations in your head.

Think: PROCESS OF ELIMINATION

.

.

.

LOGS

Richter and Decibel (Lv2)

Richter Scale

2 things in mind

It’s a hot mess.

Remain calm, it’s like any other new equation. This takes time to sort out. Then you’re like AHA!

.

Note: 10^-4 on bottom

Variables set up:

Example 1: know mag, want strength ratio

m (sub 1) = magnitude of ocean

m (sub 2) = magnitude of city

I (sub 1) = intensity of ocean ??

I (sub 2) = intensity of city ???

Strengh ratio = ???

_

Equation: Richter scale and..

ratio of strength =

I (sub 1) / I (sub 2)

Strategy:

Want: strength ratio

Problem: no intensity #’s

Solution: solve for intensity

Later: solve for strength ratio

.

.

Example 2: know 1 mag + strength ratio, want other mag

m (sub 1) = magnitude of ocean ???

m (sub 2) = magnitude of city

I (sub 1) intensity of ocean ???

I (sub 2) intensity of city ???

strength ratio = #

_

Equations used: same + …

I (sub 2) = I (sub 1) * strength ratio

Then solve for m (sub 2) with that

Aka. Solve for easy stuff the work up

.

Solve for magnitude

Decibel

Example 1: 2 diff decibels, want ratio of intensity

B (sub 1) = sound of drill

B (sub 2) = sound of whisper

I (sub 1) = intensity of drill ??

I (sub 2) = intensity of whisper ??

Strength ratio = ???

_

Equation: normal one

Strength ratio = B[1] / B [2]

_

Strategy: Similar to richter scale

Think: what do I want

Then: what’s in my way

Last: how do I get past it

These are multi part problems that look overwelhming at first seeing all the missing variables. The key is solve what’s easy, then try the tricky stuff. Sometimes you can bs your way through these problems.

Note: 10^-12 is good for helping you find the intensity.

Note: solve what variables you can before popping in numbers.

Page 31

[bluechrysocolla]

fuck trigonometry all my homies hate trigonometry

[bread-of-death]

Why’s it so embarrassing to be the first one to finish a test

[anonamouslemonbubbletea]

whoever came up with the expression "you catch more flies with honey than with vinegar" has clearly never had a fruit fly infestation in their school

[ace-with--a-mace]

school in 48 hours ,,,,,,

[beanxiv]

˗ˏˋ📓 ─── U + I = LUV .ᐟ ˎˊ˗

riddle rosehearts x gn!reader . . trying to explain trig to your infatuated partner is hard work .ᐟ 1.1k word count.

note: based on the need for a man not to mansplain to me, but to gently teach me content: suggestive, petnames [main masterlist] . [twst masterlist]

waking up in and having to navigate an entirely new world is likely— no, definitely one of the hardest things you've ever had to go through.

you would think math would give you a break when you get to said new world. but no. math is still math. twisted wonderland has no magic to make precalc easier. not that you have any magic, but still, it would be nice.

you're torn between standing up in your chair and screaming like a madman while ripping apart your worksheet, or continuing to do your homework like a normal person.

a quick glance around the library has you choosing the latter. none of these students need to see you crash out (again). you also don't need crowley breathing down your neck about anything (again).

you click your pen while staring down at the trig problem staring right back at you, unsolved. people are starting to look at you and you realize your pen clicking is bordering obnoxious. you shoot the octavinelle kid an apologetic smile and turn to your boyfriend.

his nose is buried in a practical magic textbook, jotting down notes every few moments.

“psst,” you try to get his attention. he’s focused though, and doesn't hear. you try again, “riddle. ��.riddle,” you nudge his foot with yours and he finally looks up.

“yes? what's wrong?” 

you slide your worksheet toward him sheepishly, “do you understand this? i'm kinda lost.”

riddle closes his textbook— not before bookmarking it— and glances down at the worksheet, a thoughtful frown tugging at his lips. “this lesson wasn’t taught very well, was it?” he murmurs, looking up at you then back down at the paper.

“this one is simple— the wording is what must be confusing you,” he says, and he’s right. damn these word problems.

“let’s take what we know and…” he’s writing down numbers and corresponding symbols,  explaining everything to you as he does.

at some point, during the middle of the equation, you're distracted by the gentleness of it all. riddle— who you honestly couldn’t even stand when you first met him— has come such a long way from his outbursts and near-violent need for control. here sits, not a riddle rosehearts who's snapping at you for speaking in the library at a volume higher than a whisper; not a riddle rosehearts who would remind you that “rule eighty-two states that all math work shall be done under the roof of your own room!” or something— you're not sure if there are actually any rules like that, but even so!

no, here sits a riddle— just riddle, who lets you pick flowers from the garden on wednesdays, even though it violated rule two hundred twenty-eight. here sits your boyfriend who is explaining a math problem to you so softly, you’ve forgotten all about trig and calc.

“my rose?” he tilts his head to catch your eyes, snapping you into reality. “should i explain differently? you look like you're still lost…”

“oh! no, no, i got it now, i think,” you shake your head, and your whisper probably borders more of a whisper-yell, but riddle doesn’t comment on it.

“are you sure? it seems as if you were zoned out,” he gives you one of those unimpressed looks and you can't help but shrug.

“if it makes you feel better, i was still focused on you! just not… on you explaining.” you offer, and his brows pull up as if to question the reliability of his flustered partner’s words. his look makes you huff, “honest!”

“we have a test later this week, my rose,” he reminds you. “i think it’s to your benefit to understand this.” he taps his pen to the sheet of paper.

“how can i focus when you look so pretty?” you sigh, leaning forward to squish his cheeks between one hand. “being all intelligent and sweet.”

now it’s riddle’s turn to be flustered, and his face lights up with heat, blush dusting his cheeks. “i’m jus’—!” his words are slightly muffled by the way his lips are forced into a pout by your pushing his cheeks together. he grabs your wrist, not roughly, and lowers it between yourselves. “i’m simply explaining a problem to you, i don't see how..” he glances away, back down at the paper in attempt to hide the blush that’s practically making the room glow.

“how i think my boyfriend is the prettiest in the room?” you lift a brow.

he opens his mouth to retort then closes it again, which you take as a victory. you also take the chance to steal a victory kiss from his still-warm cheek. he huffs in that riddle-esque way, but doesn’t push you away. he never does.

on the contrary, he finds himself always giving in to you and your antics. half the time, he just can't deny you.

“need i remind you we’re still in the library?” he mutters, turning to reopen his own textbook since it’s clear you’re in too much of a teasing mood to get any of your own work done. leave it to riddle to attempt to mask the ever prominent blush that leaves him quite a mess, honestly. “oh, c’mon!” you whisper, “i’m complimenting you and you’re pushing me away!” you know that’s not actually the case, but you like to mess with him. riddle, though, finds your mocking to be unassuming. he says your name, in that authoritative way that sends a chill down your spine, “let me explain the content to you. then, you’ll do the page, and then i’ll indulge in your fun. although, not at the library. i’d much prefer somewhere without so many prying eyes– and a setting not as professional as this one.” you know he just means the comfort of ramshackle or heartslabyul, but the way he says it makes it seem as if theres implication in his words and that along with his tone is enough to get you to lock the fuck in. “yes sir,” you mumble, scooting your chair in closer to his. “trig, my absolute favorite! go ahead, mr. rosehearts, i’m listening.” riddle softens at that, shaking his head and yet chuckling despite himself. “are you now? good.

where was i before? ah, right. so this problem is asking for this missing angle, and to find it…” he loves you, and that must why he not only allows you to be so carefree and playful, but also himself. jeez, how far gone is he?

© beanxiv — all rights reserved. copying, reposting, translating, feeding into ai, and modifying on any platform or by any means is not allowed.

─── reblogs with tags are much appreciated 💝

[uriayx]

victorian peasant voice do you have any spare ag67 hcs…

HAL MY MUTUAL MY FRIEND MY BUDDY I FUCKING GOT YOU HERE ARE MY FAV AG67 HCS

[TW] Andrew has a habit of hair pulling when hes stressed. He's never pulled any strands out before, but he's definitely tugged. A Lot.

If Everette or Chris were to ever audibly speak, it'd sound similar to the TTS voices of The Mandela Catalogue. thats really the only point of reference for it mb gang

Chris had a habit of finishing sentences that Andrew spoke. Like if they had proximity chat in a game and Andrew lost Chris its just "...I've come to make an announcement, Shadow the Hedgehog's a bitchass motherfucker." He waits for a second and then in the distance is "....he pissed on my fucking wife >:("

Andrew and Lacey from Lacey's Flash Games would probably be good friends!

Ok here's a dump of a bunch of Andrew-specific HCs and other thoughts from Discord!!

Even before all the incidents, he's always been very quiet and reserved. He's really funny and nice, but it takes a lot to crack him. Chris was one of the few that could, despite living across the country.

When you start to crack him, he gets really sarcastic, a sort of defense mechanism against people who might hurt him, and let them find out hes "annoying" (hes not; he just perceives himself to be) before its "too late." This was, again, a behavior quirk before the events of his channel, but it did increase in frequency during the events.

He frequently indulges in horror because the adrenaline pump is better than any drug. To him.

Being a burnt out gifted kid who can't pass Precalc, he has a hard time believing in his skills and assets, in and out of the classroom. This includes his gift of being able to make music (which the creator of the series makes himself, and are all based around or are covers of songs that can fit the series!! go check him out hes really good, user Ohster)

He's always had a nail biting problem.

As I've noticed throughout the videos, he has a problem with stumbling over words unless he's flustered/frustrated and rambling.

During the events of his channel, he developed thalassophobia (fear of deep water/oceans).

Despite his Minecraft skin, he doesn't like suits. The texture bothers him.

He's had diagnosed OCD since he was 6 years old. He's very open about it, even if you haven't cracked into his friendship yet.

ENJOY MY FRIEND!!!!!!!!

[smartgirrl]

my schedule today

10-15-24

morning

05:00 | wake up!

05:05 | breakfast

05:35 | thermochemistry hw

05:50 | study bone anatomy + osteons

˚ ͙۪۪̥◌ ✧˚ · . ˚ · . ༉‧₊˚. ‘˚ ͙۪۪̥◌ ✧˚ · . ˚ · . ༉‧₊˚. ‘˚ ͙۪۪̥◌ ✧˚ · . ˚ · . ༉‧₊˚. ‘˚ ͙۪۪̥◌ ✧˚ · . ˚ · .

school

today I have my anatomy, chem, precalc, and physics. i have an anatomy test today and chem test thursday... this test cycle will never end 😭

˚ ͙۪۪̥◌ ✧˚ · . ˚ · . ༉‧₊˚. ‘˚ ͙۪۪̥◌ ✧˚ · . ˚ · . ༉‧₊˚. ‘˚ ͙۪۪̥◌ ✧˚ · . ˚ · . ༉‧₊˚. ‘˚ ͙۪۪̥◌ ✧˚ · . ˚ ·

after school

15:50 | workout!!

this is also when i binge watch shows and youtube videos :)

17:10 | shower

17:35 | math hw

18:35 | study chem reactions

this involves reading the textbook 3 times over and completing an endless amount of practice problems...

20:50 | downtime

[burned-out-baddie]

100 Days of Productivity: Day 8/100

When will I not be super sleepy?

Productive:

Went to Chemistry lecture

Went to Chemistry lab

Worked through Pre Calc practice problems

Attended PreCalc class

Self Care:

Had blue raspberry slushie and enjoyed it

Spent some time with my girl

song of the day: doomsday - Lizzy McAlpine

[sybaritick]

I teach/tutor/grade a lot of geometry just because many people don't like doing it. It's not the grade level: there are instructors who like the previous classes (algebra 1, prealgebra) and the classes after it (algebra 2, precalc) but specifically don't really like teaching geometry.

But in my experience, geometry is uniquely creative for math taught to middle schoolers. It's the first time many of these students encounter the concept of proofs. There are often many ways to reach the same solution, more so than in algebra.

I talk sometimes about math requiring creativity rather than being a list of steps to follow and geometry is a lot of kids' first taste of that: instead of getting an equation and being told "solve for x" or "where does this graph intersect the y-axis," they might be told "find this angle" or "what's the area of triangle ABC" based on some other information in a diagram and I think the greater openness of that is huge! Instead of being given a list of steps you are given the starting information, the tools (theorems and concepts learned in class) and the objective and you get there yourself, and not everyone gets there the same way! and I think this is the most fun you can have at this introductory level of math.

Another part of it is helping students embrace the idea that they might try a strategy for a problem (eg, "Let's draw another line here to create a right triangle") and realize that it didn't really help, but that's OK, that's why we have several strategies. You don't magically know beforehand how to get there, but as you do more problems, you'll develop intuition on what might be helpful. And this is so important! It's not just math it's a more general problem-solving skill! Anyway, that's my piece as a geometry teacher... it's a great class, not that I'm biased!

[math-journal2]

Compound Interest v Continuous Growth

Class notes

Examples

[midnight-drip]

my semester ended last week, so here's a list of strange/unhinged things my precalc teacher said throughout the course

you guys are the bread sandwiches of sandwiches! that's how classy you are.

it's like reading greek, in english...

we got a new president of america... maybe we'll have a new president of canada.... maybe it'll be the same person. it'd be tremendous.

we could have guns, and live free!

you can keep your quizzes, put them on the fridge. .. or put them IN the fridge, keep 'em fresh!

don't be cooked— be cooking!!

you know, my uncle invented the cartesian coordinate system.

you know that guy who eats cacti for a living? my uncle did that once.

do you call them quills on a cactus, or only for porcupines? because my uncle eats porcupines for a living too.

you're ruining this family, max (about a character in a word problem, not a real person)

they're all bad people. especially carl, and not just because he's bad at math (also about a word problem character)

I don't even want to think about carl. he's a disappointment not only to himself, but to his family and his community (same as above)

we're gonna talk to your dad, we're gonna tell him about how much shame you should be feeling.

I'm not lying to you. I do lie quite a bit, but I'm not lying now

we've already established that I enjoy lying.

"last year was 1963." correct!!

I'm just buying one extra so I look like I have loved ones. one for me, and one for my imaginary loved ones

you can change the question! you can do that in university, too. I changed so many questions on my physics tests.

stick a fork in it, cause this baby's done!

graphing comes from the same two places. it comes from the heart! ...and it comes from a table of values.

if you've gotten rid of snap, and you've replaced it with desmos graphing app, then you're on your way to becoming a good person.

counting is hard, guys.

I hate to— actually, no. I don't hate to be mean, I actually enjoy it! I thrive on it, it warms my heart up.

after the exam, we're gonna share our hopes and dreams with the class. and if they're not good enough, you fail! so think about your hopes and dreams!

I'm probably the most ninja-like teacher you know.

[seeingteacupsindragons]

Heyo! Lovely commentary as always :D. Yea no, i didn't mean to criticise when comparing the difference in effort between the science stuff and military stuff. I love this series, and the way I show my love is by picking through all my favourite aspects with a fine tooth comb and seeing how everything ticks, but that's a me problem lmao. The enemy of good is perfect, and this is a good series to me. For example, if Xeno really did go to college at 10, then that explains literally everything about him. Of course his ego is like that, and his ideals got shaped in that way. There is no way to come out of that well-adjusted and unentitled. It also makes his childhood friendship with Stanley even funnier. Poor kid was out here learning about fractions while his best friend was midway through a PhD. Though maybe, following the logic, that means Stanley was doing his first tour around that time. Maybe that was when he put in his Air Force shift. Also, I completely didn't realise that, but yea poor Ukyo! I like to think maybe he and Stan bonded a little bit, after the whole war crimes debacle. Crazy how quick everyone moved past that little detail. Thank you for humouring my ranting btw :)

Hello! Thank you.

Anyway, I am also often (usually) poking at things I like, because I love writing and writing craft so much that picking at how it works and why is almost a default part of my process when liking something. I want to know how they incorporated those themes and made things work! For Dr. STONE particularly, I find the character personalities and themes most interesting; the story structure and plot are functional but not the main draws for me to the series, and also honestly kind of the wonkier bits anyway. Compared to YuuMori, where the structure has me starry-eyed and breathless.

But like, I'm also fascinated in Dr. STONE about how static most of the characters are. A few characters have some arcs (Xeno, for one), but Senku? Not even kind of. He's the protagonist, but he is the same person on the last page as he was on the first without even filing down the edges. And he started as a teenager! And yet!

Which is how I ended up with what is like at least a good 30-50% a meta blog. It's basically story vivisection on display for people. There's some older Dr. STONE stuff around here from before I read the manga this spring, most of which holds up but one of which is now very funny and deeply inaccurate because it asked about Senku having a mentor and I was at the time unaware Xeno existed.

Stan's not stupid, either, though, and when Xeno was probably in PhD land, Stan was probably in Precalc or Calc. Like Stan is legitimately brilliant, just not. Whatever Xeno's doing. I think a lot of characterization of those two gets fucky fast because they're so gay and people want to shove them into their pre-determined fun ship roles. It happens a lot with popular shippable characters.

I did actually make a very short post on here about Ukyo and Stan needing to be friends because of being Marine/Navy vets of roughly the same age. They would have a lot to talk about.

But Stan and Xeno fascinate me in a special way because I was born a queer emo goth nerd too smart for hir classes in America the same year they were, and I'm going to be fully honest, my high school friends would dress exactly the same way those two losers do. Like oh, hi, I could have been friends with these two! Which means that I like their characters, but all the unexplained bits are really easy for me to fill in on a cultural level, because, well, I was there.

Frankly, learning that he was born in '93 made me realize "Oh, suddenly everything about him makes. Sense. He hit emo culture and MySpace full in the face."

Also they have probably seen Shrek. Which means nothing but is really weird to think about.

[sock-to-the-third]

LOG TIME

Here’s some attempts I made to reteach myself how to graph logs and finding equations.

Graph—> equation

The idea was using the nearest whole number to the asymptote as the “key point” and then graphing from there.

If you’re a visual person when it comes to graphs, I’m sure it works great.

For me, I cannot for the life of me feel at ease around a graph. Something about visualizing it extremely hard and I usually prefer moving it via algebra — but only for logs lol.

. . . . . . . .

Equation —> graph

#1

This was my next idea. Idk why I thought less words would help. It made it harder to remember things since I wanted to make things simple in preparation for reflections (my mortal enemy).

. . . . .

#2

I’m using my old method! Logs are like magical unicorns and while I do understand when I concentrate how they work most of the time they’re unicorns. So I use exponential functions to figure out inputs and outputs since you just swap x & y and then you got a log to graph.

Thing is while I got a good method down I still couldn’t figure out how to put reflections in.

. . . .

#4 — Finalized method

Presenting: my method~

YAY! I CAN GRAPH LOGS AGAIN.

Interpreting graphs is so much easier folks. I get why my some profs just skip complicated reflections, so easy to forget or fuck it up if you don’t have a solid method.

. . .

Also this took me a solid 2 hours to figure out. I forgot about writing my story, reading, EVERYTHING. I was a math solving fanatic. I had a hunger, and it was for logs.

A hunger that would NOT be satiated until I could break a log and put it back together.

Omfg my brain is so fried 🥱😴

The hard part about logs is that my old method I use to crack the puzzle of most functions doesn’t work as well. Part of why linear, rational, exponential, and power functions are easier for me is because I can remember a few coordinate points or its easy af to figure out the math.

If I want to plot the points for a log graph, I got to use the change of base formula since my calculator only does logs with a base of ten TvT

My graphing calculator’s stuck in Test mode for the last 10 years. Never gave a shit to figure out how to get it out

Now that I got a new method, it’ll be interesting learning other methods so I can help tutor the kiddos. Cuz like I can try to do the more common method but I’ll have to pre-prep the problems or make sure to solve the base log with a change of base for the y-coordinate or I’m soooooo gonna fuck up. Lol.

I honestly do love math but math fuge is like my writing fuge.

So fun but exhausting af.

.

TIME TO FUCK UP THE REST OF PRECALC!!!

FUCK YEAAAAAAH!