#quadratic function graphing

[math-journal]

Quadratic Function Graphing

Things of Note:

Label your points (x,y)

ℝ - aka All Real Numbers for all quadratic functions

Line of symmetry is an equation (x=#)

Intercepts label as ordered pairs

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[math-journal2]

Switching Between

[worfi]

Ok guys stick with me on this how do you think Gilbert does math? Cuz I've been thinking about it all morning and no one cares but me but lemme explain what I mean, like:

Chev seems linguistic focused because of the association with reading, but also I think he would be the type to just immediately solve the problem with numbers, and he could tell you what formulas and properties he used by name because his memory is perfect but I don't think the words actually cross his mind, he would just move the numbers.

On the flip side, someone like Nokto or Sariel (who I believe have both been said to be good at explaining things when teaching Belle) would likely work through it with the formulas in mind, taking a more linguistic approach of 'now I use this, which is applied like so'. At first I thought Gilbert might be this type because he has that social manipulative 'good talker' energy at times, but I don't think that's how his brain works.

He is a genius like Chev so it's possible he's the same as him but I'm also considering he might be more of the visual type? Like, the type who sees a quadratic equation and immediately has the graph in their head. Can read all of the functions as shapes and lines, move them around quickly, etc. I mean on one hand he clearly doesn't value his depth perception with that eyepatch but maybe he just doesn't need to? I have no evidence though I need to read more of Gilbie I guess.

I don't know why I'm thinking about it I think too many of these condensed math classes in a row have fried my brain but I've had Gilbert on the mind for days and always with the weirdest things.

[chiharuhashibira]

What about a shorts featuring your fave Kimetsu No Yaiba teacher?

But make it Professor X Student 👀

Whew~ Here we go with the final part of Special Classes >////<

Have you enjoyed your History, Art, and PE classes? Yes? Oh that's good cause you'll also love your Math class 🤭

You are 22yo here, and a graduating student. Sanemi is 27.

Let's start now! 🌸

𝓜𝓪𝓼𝓽𝓮𝓻𝓵𝓲𝓼𝓽

𝑺𝒑𝒆𝒄𝒊𝒂𝒍 𝑪𝒍𝒂𝒔𝒔𝒆𝒔: 𝑴𝒂𝒕𝒉𝒆𝒎𝒂𝒕𝒊𝒄𝒔

𝐊𝐲𝐨𝐣𝐮𝐫𝐨 𝐑𝐞𝐧𝐠𝐨𝐤𝐮 𝐕𝐞𝐫𝐬𝐢𝐨𝐧 | 𝐓𝐞𝐧𝐠𝐞𝐧 𝐔𝐳𝐮𝐢 𝐕𝐞𝐫𝐬𝐢𝐨𝐧 | 𝐆𝐢𝐲𝐮 𝐓𝐨𝐦𝐢𝐨𝐤𝐚 𝐕𝐞𝐫𝐬𝐢𝐨𝐧 | 𝐒𝐚𝐧𝐞𝐦𝐢 𝐒𝐡𝐢𝐧𝐚𝐳𝐮𝐠𝐚𝐰𝐚 𝐕𝐞𝐫𝐬𝐢𝐨𝐧 | 𝐎𝐛𝐚𝐧𝐚𝐢 𝐈𝐠𝐮𝐫𝐨 𝐕𝐞𝐫𝐬𝐢𝐨𝐧

Content Warnings: ProfessorXStudent/Suggestive/Curse Words/Dom Sanemi/Degredation/Blow job/Matured Content/18+/Sexually Explicit/Blood/Violence

Minors DNI.

(Image is not mine, credits to the rightful owner)

🌸𝑺𝒂𝒏𝒆𝒎𝒊 𝑺𝒉𝒊𝒏𝒂𝒛𝒖𝒈𝒂𝒘𝒂🌸

"Oi! That's not the answer! Have you listened to anything that I taught earlier?! Go back to your seat!"

You sat there and watched as Sanemi, your math professor, cast a critical eye over the room. You started to feel anxious because he might ask you to solve the problem in front of the class. And unfortunately, as if fate were conspiring against you, his purple eyes eventually landed on you.

Sanemi sat on your desk while maintaining an expression of irritation. "And what do you say, Y/L/N-san? Why don't you solve that math problem for me?" He asked the question sarcastically. You gave a small nod before rising from your seat, at which point you noticed that your chest felt heavy. You are aware that Sanemi is still glancing in your direction.

After a minute of solving, you turned to face the class and your professor, who was still sitting on your desk, looking amused, which surprised you. You took a deep breath and mustered up all of your courage before you spoke.

"f(x) is a quadratic function, and its graph is a parabola. As a result, it is not a one-to-one function because the parabola can be interrupted by horizontal lines at two different locations. The correct answer is a D."

Sanemi got to his feet and started walking towards you while softly clapping his hands. Your expression remained expressionless, and you experienced shyness despite the fact that you were aware that many eyes were staring at you at this very moment. You felt an arm stretched across your shoulder, and when you looked up, you noticed that Sanemi's face had finally stopped showing signs of annoyance.

"Woah! I thought this class was full of dumb brats! You surprised me, Y/L/N-san!"

You bowed your head respectfully and then proceeded to return to your seat. You no longer feel the same level of anxiety in your chest.

Because you are so accustomed to the harsh methods of teaching that Sanemi uses, these compliments seemed like a miracle that you would only hear once in your entire life.

--

"Sensei is so intimidating! Even if I do know the answer, I often forget it."

"So true! He's so harsh, and he is so anno—"

"Sssh, Aoi-san, if sensei hears you, he'll definitely make your life hell."

You couldn't help but overhear the conversations of the other students when your math class ended. What they are saying is true. Sanemi Shinazugawa isn't the nicest professor at the university. Oh well, he isn't soft at all, and he makes sure that you all know it.

Compared to the angel and most loved history teacher, Kyojuro, Sanemi's class is definitely an embodiment of hell. Especially if you're not studying well.

And as for you, you cannot fail any of your subjects. You are not the friendly type and you prefer to be alone than socialise. If you fail, you'll have no choice but to repeat the same subject with different people, and that would be so tiring.

Also, you already work outside your class hours aside from maintaining your scholarship. You can't lose all of that just because the professor teaching your math subject is the infamous Sanemi Shinazugawa.

--

After that day, on which you had successfully astonished Sanemi, a few days passed. It's well past midnight, yet you're still at the convenience store, where you are conducting an inventory check. The next thing you know, a man with a beard is grabbing your hand.

"Hey missy~ It looks like you're so busy. Need help?"

You pulled your hand away from him and took a step back. You felt a shiver when you managed to see that the man looked wasted. "No sir. Thank you." Despite the fear that started to bubble up in your stomach, you still tried to be as respectful as you are.

You were about to go when suddenly the man grabbed your hand again, tighter this time. You yelled but realised that the other employees were inside the stock room. You didn't want to shout, as you didn't want to scare the other customers, so you tried to squirm from his hold.

"Sir, let go of me."

"Come with me. I'll give you a better time counting how many times I can make you cum."

You were astounded by what he said and felt the tears almost fall from your eyes. But then, before they could fall, you suddenly heard a familiar voice that astounded you. You looked up, and there Sanemi was standing behind the man. His nails dug into the man's shoulder as he stared at him with fury in his eyes.

"One, I hate perverts. And two, I hate perverts who use numbers to rizz a poor kid. Let go of her before I make you rethink all of your life choices, you fucker."

And after only hearing his voice, the bearded man stumbled on his way out of the convenience store. And the good thing is, no commotion happened.

"You okay?" Sanemi said, pointing at your reddened arm. You looked back at him and noticed that he wasn't wearing his professor's outfit. The man looked so cool with his messy hair. He even looked cooler with that black leather jacket over his white shirt.

So, my professor looks like a normal person outside class...

You immediately recalled how tough he was earlier when he tried to save you from that pervert, and this sprang to mind before you could even think of anything else. You had no idea that he was capable of acting in such a way. And with that, you felt your heart racing as you felt heat coming up your cheeks when your eyes met.

"Hello?" He waved in front of your dumbfounded face and raised an eyebrow. It seems like Sanemi doesn't recognise you. So you shook your head and bowed in front of him.

"Sensei, thank you for saving me!"

"Hmm? Sensei?"

"I'm Y/L/N, Y/N, from the university. You're my math prof—"

"Oh, okay?"

You looked up once again and saw Sanemi looking away. He seemed preoccupied with the can of beer in front of him. Awkwardness filled the air. I think I shouldn't have told him I was his student! I hate how awkward I am when my mouth opens. You sighed and decided to thank him once again.

"Shinazugawa-sensei, thank you again. I'll get back to work."

Before you could head back to the storage room, Sanemi spoke up in a monotone.

"Uh, what time does your shift end?"

You were astounded by his question. Why would he ask that? You turned to look at him, but then you bumped your head on his chest. Apologising, you stepped back and stared into his lilac eyes as you spoke up.

"My shift's done in 30 minutes, sensei."

"It's late. Do you have someone to pick you up?"

You looked at Sanemi as if he were doing something unusual. Oh well, he does. Usually his mouth is full of curses, and his tone is always angry. But now it's different. Despite being monotone, it has a hint of... care?

"No sensei. I take the bus home."

"Okay. I'll just wait for you then."

"Uh why?"

"It's dangerous going home this late. And you're my student, so you're my responsibility. I'll drive you home."

Your heart started to toss and turn inside your chest, which almost made you want to throw up because of too much fluster. Sanemi is your saviour, and now he suddenly looks so cool that you can't take your eyes off him.

You didn't protest, as he is right. It's dangerous out there, especially since there was a man who tried to abduct you earlier.

A part of you felt a bit happy, as no one had shown you this care before, not even your parents. And with that last thought, you managed to end your shift.

You changed into a skirt and a shirt. As you walked out of the convenience store, you saw your math professor leaning against his car. "Three minutes late." He said this, checking his wristwatch before looking back at you.

You swear you could see the astonishment on his face when his eyes landed on you. But of course, that quickly faded away as he stood in front of you. "Sensei, I'm sorry if I made you wait."

"Just a favor. Don't call me sensei outside the university. People might think something's wrong if they heard you and saw you enter my car this late at night."

"Oh, sorry, Shinazugawa-san."

"Much better."

He opened the door for you, and his gestures shocked you. Last week, you saw how he almost threw a book at one of the students, and now here he is, being a gentleman. It's so not him.

You entered his car and were greeted with a minty, manly scent. Wow, this is Shinazugawa-san's vibe, for sure. You looked around and managed to settle down comfortably on the seat beside him. You tied your hair back and stared at Sanemi as he started the car. His hands looked so big. If that bearded pervert ever attempted to harm you, he wouldn't be able to withstand a punch from this man.

"Do you have a hand fetish or something?"

He asked that you cut off your thoughts. You looked away and apologised once again. Sanemi brushed it off and started driving.

"So where do you live?" He asked as his eyes peeled off the road. You told him your address, and he went on to ask you why you decided to work in a place too far from where you live.

"Oh, I have no choice. I need to grind for my future."

You felt like Sanemi wanted to say something, but he eventually stopped himself. And of course, you didn't say anything further. You don't want to make the travel more awkward than it already is. And when we say awkward, it's because you only answer when asked as if you're reading a script.

"So, what can you say about our classes? Don't tell me that I'm rude, 'cause I'm sure well aware of that."

Sanemi was the one who decided to break the silence. You played with the hem of your skirt and looked at your lap. You actually don't want to answer him, as you never wanted to offend him in any way. You sighed, and finally,

"You're cool."

"Oh. That's new." A small smile broke on Sanemi's lips, and that made you blush. Before you could say anything, Sanemi spoke up in a low tone. "I know that you're just saying that because of earlier, though. But thanks."

"Mmm..."

"Are you scared of me at class?"

"No."

"Why?"

"Because I study well. Why would I be afraid of you?"

"Good answer. You know, I'm tired of fucktard students who think my subject's not important."

And there, the curse words began. "I see."

"Are you really this silent? LOL"

You almost laughed when Sanemi verbally said LOL as it sounded funny. You tried to stop yourself from giggling, and you looked away. But yeah, back to his question. You just shrugged your shoulders and leaned back.

"Eh? You'll make our travels feel longer if you stay like that."

"Travels?"

"Your shift ends at the same time every day?"

"Yes. But what do you mean by trav—"

"Now we're talking." He chuckled and continued, "Whether you like it or not, I'll be here after your shifts as I also go home to the same town. I have a friend who's dorm is beside the convenience store, so don't fucking tell me that it'll be a bother, cause nope."

"But sen—"

"Sanemi. Call me by my first or last name when we're out of the university. You weren't paying attention earlier! Tsk!"

"Sorry..."

"And stop apologising too much."

You felt your heart go fast as Sanemi smiled at you. "I told you, you're my student, so you're my responsibility. And I don't want what happened earlier to repeat."

"Thank you, Sanemi-san."

--

That first time Sanemi drove you home became your math professor's task every time that you were at that convenient store.

You still acted a bit awkwardly towards him, but after a few days of those moments recurring, Sanemi slowly brought you out of your shell. And also, he managed to start making you feel more flushed than before. You started liking him and the times when he was there for you.

At the university, he's still like the chaos incarnate with his harsh antics. He even made one student cry because he became mad at them for being too loud in the hallway while he was teaching. And of course, at class, he didn't show you any special treatment. He even started to call you airhead at the uni.

But yeah, you didn't have any grudges against him, as all you wanted to do at the university was learn and pass. And you're clearly aware that Sanemi's just doing his job in his own way.

It just also seems like Sanemi has this facade at school. But you won't dive deep into that, as you never wanted to pry.

"Hey airhead."

The sound of Sanemi's voice reverberating through the hallway shook you out of your stupor. You turned your head to look at him and noticed that the math professor was approaching you from behind. There are no math classes today, so you were astounded to see Sanemi.

It is impossible not to fall in love with the charming way in which the sun's rays fall on him. Because of the way that his piercing eyes were fixed on you and the way that his hands were crossed, almost exposing his bare chest, you can't help but feel as though your breath is being slowly sucked out of you.

You bit your lip, still staring at him, when he finally stopped in front of you.

"Airhead, I'm going to fucking melt if you keep staring at me like that."

You blushed and looked away. But then, before you could give an excuse, Sanemi spoke first. "Your classes are done?"

"Yes sensei."

"Come with me. Help me check your papers."

You immediately nodded and followed him to the classroom of the Math Club. The members were out early today, so Sanemi got the entire room for himself. And yes, the man likes solitude sometimes.

Sanemi closed the door behind him and sat on his desk. "Just pull a chair from somewhere there." He pointed at the empty seats, and you complied.

Sanemi has been a nice guy to look out for you after work, and you really appreciate that. You wanted to pay him back sometimes, but he declined it, so one night you told him that you'd be his apprentice at the university, and you'd even help him with his tasks if needed. There, he agreed.

It wasn't the first time that the two of you shared this room to indulge yourselves in numbers. It was a win-win for you. First, you are definitely learning. If there are mistakes, Sanemi teaches you the formula, so that's an instant special class for you. Second, you kind of want to spend time with him, so these moments make your dreams come true.

Your work is just 4 hours as you are just a student, and the owner of the convenience store is too kind to make you work for 8 hours after your 6 hours of school. So, you won't be late even if you stay here at the university, as your work starts around 9 p.m.

Sanemi cleared his throat, which made you look at him. He was staring at you intensely, and when your eyes met, it was him who averted it this time. "Uh, so, how's the day? Any homeworks?" He asked with an awkward tone, which definitely surprised you, as he was usually sounding either cocky, angry, or caring.

"Yes sensei. On Iguro-san's chemistry classes."

"Hah! I hope my friend doesn't give you a hard time." Sanemi chuckled.

"He doesn't. He's less harsh than you are."

It was late when you realised what you said. You covered your mouth and stared at Sanemi, who had the veins on his forehead popping in irritation. "You brat. Math is important! If I weren't harsh, would you all fucking listen to me?"

"I will. I like it when you're gentle."

What you said surprised Sanemi. His cheeks suddenly turned pink, but he tried his best to hide it. You noticed it but didn't say a word. But inside you, you felt hot. You like it when Sanemi blushes. You bit your lip again and crossed your leg as you felt something weird down there.

His breathing has changed, and you watched his exposed chest as he did so. Your eyes landed on his scars, and a part of you wondered how they would feel if you touched them.

On the other hand, lots of crazy thoughts suddenly filled Sanemi's head.

She likes me when I'm gentle. What does this little fuck mean?

Your words almost caused his mind to shut down. He always looks forward to when you speak, as you're always so quiet, but times like this really astound him. He's flustered around you, and that's because he likes to have his own damsel in distress.

Your math professor's attracted to you, and you have no idea.

Sanemi straightened his collar and cleared his throat before continuing to check the papers. You watched as he moved in his seat, but you couldn't help but be perplexed as to why he responded in such an unexpected manner. You stepped up, bent towards him, and reached for some additional paperwork that had been placed in front of him so that you could also check those.

But then, instead of reaching the test papers, it was Sanemi's hand that you accidentally touched. "Oh sorry... I was just trying to get some papers." You said this and proceeded to take some papers, not knowing what your actions were doing to the professor.

His eyes watched you as you gently sat back, and without you noticing, those lavender orbs fell on your breast. He was observing you the whole time. As you breathed in and out, Sanemi watched your chest rise and fall.

You finally finished checking and smiled at your professor. But he was too taken with the sight in front of him. You tucked your hair back behind your ear and stood up from your seat.

"I'm done, Shinazugawa-sensei."

"Hey airhead, can you stop doing that?"

"Huh? Doing what?"

"Oh, for fuck's sake!" Sanemi stood up from his seat, and in just a blink of an eye, he pinned you on the wall, Kabedon style.

You blushed at what he was doing, as you didn't know why he was doing this in the first place. "S-sensei?" You asked, blinking in shock as you felt his hot breath touch your neck.

Sanemi stared at your eyes, and there you saw how they were painted with passion and... hunger? A part of you wanted to leave, but then the bigger part wanted whatever this was. He leaned in until your foreheads touched, then spoke to you in a deep, husky voice.

"The fuck are you doing with me, airhead? You don't know how much you make me want to do this."

"I don't know what you're saying..."

"You want me to be gentle, huh? What makes you think that I'll be gentle to a bitch like you?"

"Sensei..."

Before you could say any words, Sanemi smashed his lip over yours. You were stunned for a few moments before you realised that your math professor, your saviour, and your crush are pinning you on the wall and kissing you right now.

With that in mind, you slowly wrapped your hands around his neck and finally kissed him back, letting his tongue explore your mouth as you moaned.

But then...

"Oh fuck..."

Sanemi pulled out and walked far from you, his hand massaging his forehead. You stood up and watched him, feeling a bit anxious while doing so. He suddenly looks mad.

"Sensei..."

"What the hell, Y/N-san!" He suddenly said it in a roaring voice that made you shiver and almost tear up. He noticed that, so he went near you and held your shoulders. The lust in his eyes faded, and what you saw now was regret as he looked at you.

"Hey, I-I didn't want to take advantage of you. Believe me, Y/L/N-san. It's just that I didn't know what happened to me."

"I like you, sensei."

Those words just escaped your lips and left both of you stunned. You didn't want to tell him that, but you wanted him to calm down. You bit your lower lip, and with that, Sanemi finally took a step back.

"No. You can't. I'll just make you cry."

"Why?"

"Just follow what I'm saying."

You felt angry with what he was saying. Yes, he is older than you, but you hate the fact that he is mansplaining you now. You closed your fist in anger, with nails digging into your palm. And while glaring at him. You finally spoke up.

"Then why the fuck would you kiss me, Sanemi?"

Sanemi rubbed his face in frustration, and finally...

"Because you're fucking easy. I can fuck you if I want to. But you see, I'm doing you a favour here. If all this time you had liked me, then you might as well bend over on that table—"

SLAP!

You didn't care if you were inside his den or if he was your professor. What he told you hurt you, and all you wanted to do now was leave. Tears rolled down your cheeks as you watched Sanemi massage the cheek that you just slapped.

"I hate you! You're just like anybody else."

You said that and finally went out of the room, leaving the man with his guilt.

Yes, Sanemi chose to hurt your feelings instead, as he didn't want you to like a man like him. He's harsh; he even hurts the feelings of his younger brother.

He had hurt a lot of women because of that attitude, and now he didn't want to hurt you too.

So, even if he hated it, he said those words to push you away.

I like you too. But even if I wanted to give you my love, you're my student. I can't hurt you that way.

--

Days passed, and you still went to his classes with a heavy heart. You didn't answer his classes like before; you didn't even react if he taunted the other students. And yes, he did that; you know he avoided you like the plague. He never called your name. He didn't even try to look at you. Suddenly, you're invisible again.

The night after that encounter, all you did was cry. You didn't even go to work. You lied through your teeth when you told your manager that you were sick.

And yes, Sanemi stopped driving you home. Perhaps what he said was true. I'm fucking easy? You thought about it for the hundredth time as you finished your shift. You stepped out of the convenience store, wishing you would see him parked by the—

"Sanemi..."

"Oi, Y/N. How are you?"

The sight of Sanemi again was like a blow to the chest. He had his back against the car, arms folded. You decided to ignore him, walking away, but then he caught your arm.

"Hey, please listen to me."

"What the fuck do you want? If you want to fuck someone, go to a strip club or something."

"No."

"Then what?!"

You pulled your hands away from him, glaring as if you wanted him to just disappear. His sight reminds you of all the hurtful things he said at that time.

"I'm sorry. I messed up."

"Go tell your sorry to some other easy kid. I won't buy that. You are free to fucking fail me if you so choose. I'll just transfer."

"Hey! No!"

You walked away, leaving Sanemi again, but he chased you and blocked your way. He isn't wearing any of those facades as he faces you right now. He looks distressed and sad, and a part of you wanted to give in, but men are like this. They do things like this if they need something from you, and you hate him anyway.

"I love you, Y/N."

"And now you suddenly love me? Oh, please, perhaps you're just horny again."

You tried to escape from him, but Sanemi didn't let you. He held your shoulders and stared into your eyes, begging for you to listen to him.

But then, before he could speak, a person suddenly appeared behind you.

"I hate to disturb this love quarrel, but you need to pay for messing up with me."

And suddenly, all your strength seemed to be sipped out of your body as you saw how Sanemi pushed you away as the perverted man from before tried to stab you. Sanemi received the attack on his side, which made the culprit run away.

The man who stabbed Sanemi was then unintentionally run over by a truck and sent flying, as if fate were on your side to avenge you.

Your eyes widened as everything went red. Your professor coughed blood and fell on your shoulder.

"No... No... No Sanemi! Don't die on me!"

"I love you, Y/N."

"I love you too. Please don't leave me."

"I love... you... Sorry..."

He said that, and then he passed out.

--

"What happened to Nii-chan?"

You were astounded when you met his little brother. He entered Sanemi's room with worry on his face. You always see this guy at school, and Sanemi seems to hate him so much. You're a year ahead of Genya and you didn't even think that Sanemi was his brother.

"Sanemi-san saved me earlier. I'm sorry if this happened to him, Shinazugawa-kun."

"No! Don't say that! It's not your fault at all. My Nii-san's really great. He would save people a thousand times if he only could."

You watched as Sanemi's brother sat on the couch beside you, looking at his unconscious brother. It's the first time that you've really looked at him, so it's also the first time that you've seen that he also had scars like Sanemi had.

"Sorry Shina—"

"I'm Genya. Are you my brother's girlfriend? He always speaks about a girl who seems to fit your description."

"Oh?"

You blushed at Genya's words. So, Sanemi's thinking of you? For real? He even went all the way to telling those feelings to his little brother. You weren't able to speak as if he knew that you were a student at the same university where his brother teaches. He'll surely freak out.

"Do you think your brother will be okay?"

"Yes. He had endured this kind of injury a lot of times. I'm sure that his wound now won't be the one that kills him."

A lot of times? Questions filled your head as you stared at Genya. He seems a bit relaxed. Perhaps he trusts his brother so much.

"What do you mean, though?"

"Oh, Nii-chan saved my life when I was younger from an accident. See these scars? He also has this, but it's a lot worse. He endured all the pain just to save me. Nii-san would do anything for the people he loves. Even if it means hurting himself."

Your heart started beating fast once again as you remembered that, before he passed out, Sanemi had told you that he loved you. Perhaps that's why he took that stab at you. But why would he hurt your feelings back then in the classroom if he really did? You're confused as much as you are happy to know that the professor loves you. There were a lot of things that you wanted to hear from him.

"The fuck are you doing here, Genya?"

Both you and Genya were astounded as Sanemi's faint voice was heard. Both of you stood up and ran to his side. Sanemi groaned and tried to sit, but you stopped him.

"Hey no... Just lay down. Please."

He complied without any complaints, but then he looked at Genya. Sanemi caressed his brother's arm. "Hey, you won't get rid of Nii-san that easy." He grinned, which made Genya smile too. "I know Nii-san."

That's the first time that you've seen the innocence and peace on Sanemi's face. He looked like an angel. You smiled at them and were about to leave the siblings, but then Sanemi caught your arm and looked at you with loving eyes.

"Are you okay? What happened to the fucktard?"

"Sanemi-san, I'm good. You should relax first."

"But I want to know."

"The man died. After stabbing you, he ran onto the street and got hit."

"Oh, he got what he deserved!"

Genya spoke in a loud tone that made Sanemi chuckle. You held Sanemi's hand, caressing it as your eyes locked with each other. Then suddenly...

"Genya, I see that you've met my star student, Y/N."

"Oh? Student?!"

Genya was astounded by what Sanemi said. But no one could beat the surprise on your face. Yes, you'll always be his student, and that shit hurts.

But before you can say anything...

"And Genya, I'll punch you if you ever try hitting on her. She's not just my star student. I also love her."

"Nii-san..."

"Sanemi..."

"Your secret's safe with me, Nii-chan. It's nice meeting you finally, Y/N-san."

"Thank you. Genya, can you leave us alone for a while? I'll talk with you later."

After a nod, Genya walked out of the room. Sanemi held your hand tightly and smiled at you. "I'm glad you are okay, Y/N." His voice was soft as he said those words. He had a smile, as if he had just won the lottery. Perhaps saving you is really important to him.

"Yes. It's because of you, sensei— I mean, Sanemi."

He chuckled and caressed your hand with his fingers. "I'm so sorry if I told you lots of hurtful words back then. I didn't mean to tell you those. I was just scared to hurt you. I always hurt the people who become close to me."

"No. I think you're wrong. Why don't you try giving yourself credit? Like with Genya-kun. He adores you so much."

"But... I wasn't able to save our whole family."

"Don't blame yourself for everything, Sanemi. You did your best. And I think your family is proud of you. And I'm not saying that you shouldn't be harsh or whatever; I'm just saying that you shouldn't push people away because you're not saving them. You're hurting them."

"Like what I did to you. God, I hate myself for saying those things. I'm sorry."

"I've already forgiven you. Don't think about that too much."

You leaned in to kiss his lips, which surprised the man when you pulled out.

You smiled at him and caressed his face. "I don't want to lose you again, Y/N." He said this as he caressed your hand.

"You won't lose me anymore, Sanemi. I love you."

"I love you too. Will you be my girlfriend?"

"Yes."

--

"Hey airhead!"

You were surprised when Sanemi's voice echoed in the hallway. You looked up at him, and there, you were astounded by how stunning he is. With the sun setting the spotlight on him, you saw his littlest details. The way his grin lights up his face, his arms swing gracefully at his sides, and his gaze follows yours.

You weren't able to look away even before he finally spoke up, teasing you. "I'm going to fucking melt if you keep staring at me like that."

This is deja vu. Sanemi crossed his arms and,

"Come with me. Help me check the papers again."

"Okay sensei."

You walked behind Sanemi, and when you reached the classroom, he locked it. You were about to pull up a chair to sit and check the papers when Sanemi sat on his chair and patted his lap. "Nope. Sit here."

"Sensei..."

"You don't want to obey me?" He asked with a challenging voice, which definitely turned you on. So, of course, you slowly sat on his lap while blushing madly.

"So, I want you to solve this for me."

Sanemi said while caressing your thighs under the table. With his touch, you felt your body tingle. You spread your legs and thanked yourself for choosing to wear a skirt today. You felt yourself becoming wetter, so you slowly rubbed yourself against Sanemi's groin, causing him to moan.

"I thought we'd check papers, sensei?" You said it innocently, teasing him.

Sanemi rested his head on the crook of your neck and used his right hand to cup your breast under your shirt. "I love it when you play innocent, baby." He said, obviously turned on by your actions.

"What am you saying, sensei? You said I need to solve something, so I'm just patiently waiting." You said this, continuously feigning innocence as you felt Sanemi's cock get harder with the friction.

"Oh, I'm going to fuck you so hard, Y/N."

He said, making you giggle. But suddenly, Sanemi stood up, making you stand up too. He pointed to the table and smirked at you. "Bend over."

You felt your titties become harder as arousal took over your body. Heat crept up to your face as you heard the change in Sanemi's breathing. Also, the fact that you're both at the university right now turned you on. You loved that it was risky.

So, with no doubt in mind, you bend over the table, exposing your wet underwear to him. Sanemi loved the view. After unbuckling his belt and removing his pants, he approached you, and you felt his hard cock rubbing against your clothed cunt.

You wanted to see how big it was, as this is your first time with him. Days before this, you had your first foreplay with him, but that was over the phone. He made you cum thrice just by his voice.

"What is two times two?"

"Four."

"Yes, I will make you cum four times in this room."

You felt excited. And what made you more aroused was when Sanemi went down on you and started licking your cunt as you were bent down like a slut for him. He removed your underwear and began running his tongue through your slit.

Sanemi chuckled as you squirmed because of the pleasure. His chuckle reverberated on your skin, sending your tingles.

Then, to your astonishment, Sanemi spanked your ass, making you yelp.

Sanemi stood up and caressed your ass. "Mmm, you don't know how much you're turning me on right now. Face me and kneel down." He said, which you happily obeyed.

You faced him with your eyes trailing from his lustful expression down to his unbuttoned shirt, then down to his big and hard cock.

"You feeling scared now, Y/N?" He said this, smirking at you. But then, without any words, you knelt down and slowly caressed his cock as you adored it. It was so big that you might actually cum more than four times because of it.

Slowly, you swiped the tip on your lip and licked the cum that was already oozing out of it because of being turned on. You held it with your right hand and trailed the bottom of the shaft up to the top before putting it all inside your mouth.

"Oh fuck. Your mouth feels so good, Y/N."

Sanemi held your head and thrust on you as you bobbed your head on his cock. You felt almost gagging as it reached your throat, but you stopped it and decided to look at Sanemi in the eyes as he enjoyed your blowout. "Mmm, baby, I'll fucking make you scream in pleasure if we just weren't at uni this time." He said, patting your head like a good girl.

You were about to give him a hand when suddenly Sanemi yanked your hair and spread you out on the floor. Taking off the rest of your clothes, he started kissing you. Slowly, you felt his hands on your clit as he started rubbing them in circles.

You moaned in his mouth as you bucked your hips up in pleasure. "Shhh, the students might hear us, baby," he whispered as he pressed his lips to yours once more.

With how he stimulates your clit, you can't help but feel overwhelmed. "Mmm near baby!" You said this as you squirmed underneath him. "Yes, baby, cum for me like a good girl."

With that, Sanemi rubbed your pussy faster than before, which almost made you scream, but thankfully, he managed to cover your mouth. And there, after a few seconds, you felt the tingly sensation all over your body. Your eyes rolled with pure lust as your hips bucked up to match the pace of his fingers.

You felt the high subside, and yet Sanemi isn't done with you. Even if you're still intoxicated from your first orgasm, Sanemi lifted you onto the table once more and sucked your titties.

"That's the first one, baby. Now, let's go with the rest."

Sanemi pulled your hair, which made you moan as he kissed your neck, leaving a trail of love bites. As he did so, your hands worked to remove his remaining clothing as well. And when his clothes fell on the floor, you ran your nails on his back.

"Fuck me." You whispered that made him smile.

"Of course I will."

Slowly, Sanemi aligned his cock on your pussy, and with one swift thrust, he finally succeeded in penetrating you, compelling you to cling to him as your pleasure began to return. You bit his neck, which made him groan in your ear.

"Oh fuck. Do that again, and I'll fucking punish you, airhead."

You looked into his eyes and saw him looking at you intensely as he continued to thrust into you slowly. You caressed his face and kissed his cheek. "I love you."

That seemed to fuel him, as suddenly Sanemi's thrusts became harder and faster, making your breast jiggle beneath him. He sucked on one of your nipples and continued to fuck your brains out.

You wrapped your legs around his waist to let him go deeper. With that, Sanemi managed to repeatedly strike the perfect spot within you, and you felt your orgasm building up once more. "Ahhh, Sanemi, I'm cumming."

"Good girl."

He rubbed your clit again while continuously fucking you so hard. And there, after just three seconds, you squirted on his cock, making him smirk.

He pulled out of you and watched as you panted underneath him. "That's two for you and still zero for me." Just looking at him right now, you can really say that this man has stamina.

"But we're not done yet, babe... That was so hot when you squirted on my cock. Do it again."

He said and with that, Sanemi finally bent you over the table. You used the poor table as a support, as you felt that your strength had already escaped from your body.

Without hesitation, while holding your waist, Sanemi thrust deeply into your dripping pussy and fucked you.

With every thrust, you managed to whimper in pleasure. "Fuck Sanemi, you're so good." You muttered between your pants, and that made your math professor more aroused. You felt his thrusts become faster again as his nails dug into your waist. You whimpered in pain and pleasure, with tears already welling in your eyes.

He cupped your breasts and left love marks on your neck. "Fuck so tight for me, love." And with that, you matched his pace, also moving your hips with his rhythm. Then, for the third time, you felt your pussy increasing in temperature as his cock continued to strike your gspot.

And there, you finally squirted once again, letting out an audible moan as you did so. Sanemi covered your mouth and continued to fuck you as the tingles subsided.

Without pulling out, Sanemi turned you towards him and lifted you. "Third. I'm so done edging. I'm going to make you cum for the fourth time. And yes, baby, I will fill you with my seed. I know you want that, right?" He asked gently as he playfully squeezed your ass.

You didn't answer, as you felt weak with pleasure. Sanemi smirked and gave you a passionate kiss, biting your lip while inserting his cock into you. You held on to him tightly and wrapped your legs around his waist so that you wouldn't fall.

"Don't worry. I won't let you fall."

"Are you sure you can... your wound..."

"I can. I'm all healed, remember?"

You sobbed on his shoulder as he abruptly inserted his cock into you, preventing you from speaking. It felt so good! Sanemi moaned in your ear as he slowly let the pleasure build. He won't hold back this time.

As Sanemi lifted you up and down his cock, you couldn't help but be impressed by his strength. His thrusts were deeper this time, so to tease him, you clenched your pussy around his manhood, which made him moan loudly. "Fuck! Fuck!"

He couldn't take it anymore, so he placed you down on the table again and lifted your legs on his shoulders. He desperately desired to cum inside you, so he fucked you faster, nearly causing you to scream with pleasure. He didn't cover your mouth this time; he couldn't as he was too focused on how beautiful you are beneath him.

With the lascivious sound of your moaning and skin slapping, he can't help but feel his orgasm inside of him. You, on the other hand, are already feeling the tingles as you feel like cumming.

Sanemi smashed his lips on yours, and there, both of you cummed in unison. You squirmed as your cunt squirted on his cock while he released his seed inside of you. You felt like passing out as the high subsided. Sanemi finally pulled out, making his cum drip on the floor. But who would care? You're drunk on passion.

He lifted you and placed you on his lap as you embraced him tightly. You love this man so much, and you can't help but be happy that he is finally yours.

Sanemi ran his hand through your hair and kissed your forehead. "You're such a good girl. Came four times for... sensei." He teased you, which made you blush.

"Y/N... when I saw you in trouble back then, I told myself that I wanted to protect you. And here we are now."

"Thank you, Sanemi." You said this as your eyes locked with each other. The wind blew over your naked bodies, making you feel the shivers, but then Sanemi embraced you and let you rest on his chest.

"You're just like me when I was younger, babe. I used to do everything for myself and Genya. I even worked back in college too, like you."

"So, you saw yourself in me?"

"Kind of. But you're better. So, I am trying to protect you from bad things. Even from myself... Because a part of me knows that it's wrong to like your student."

"But do you regret loving me now?" You asked, anxious as you watched Sanemi sigh.

"No. The thing that I regret most is trying to hurt you. You're not an easy girl, Y/N. Don't ever believe any of the shitty words I said before."

You smiled at him and kissed his lips. Feeling your strength once again, you slowly sat on his lap, facing him this time. "What I regret is hating you... I love you, Sanemi. Thank you for always saving me." You said it with tears falling from your eyes. You embraced him and buried your face in the crook of his neck.

"Shhh... Don't cry, babe. Please."

Sanemi lifted your head and wiped away your tears. He kissed your forehead and caressed your cheek.

Eyes locked with each other again, you realised how your life would change today. And it'll change for the better with Sanemi by your side. Yes, the infamous Sanemi Shinazugawa fell in love with you, and you're happy with it.

"I love you, Sanemi."

"We're in school, baby." He teased, and that made you chuckle. So then,

"I love you, Shinazugawa-sensei."

"I'm just kidding! But I love you too, Y/N."

=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=

𝓣𝓱𝓪𝓷𝓴 𝔂𝓸𝓾 𝓯𝓸𝓻 𝓻𝓮𝓪𝓭𝓲𝓷𝓰 𝓽𝓱𝓮 𝓢𝓹𝓮𝓬𝓲𝓪𝓵 𝓒𝓵𝓪𝓼𝓼𝓮𝓼 𝓢𝓮𝓻𝓲𝓮𝓼~

You won't know how happy I am that I finally completed this~

Originally, it was supposed to be just headcanons but you know me, I can't write short fics that easy HAHA So, when I was writing 𝑺𝒑𝒆𝒄𝒊𝒂𝒍 𝑪𝒍𝒂𝒔𝒔𝒆𝒔: 𝑯𝒊𝒔𝒕𝒐𝒓𝒚 for Kyojuro, I revised it tonnes of times XD

But there, the series flowed until here we are with Sanemi's part! I hope you loved it🤭 As promised, I made it long as it was delayed already HAHA!

Reblogs, Comments, and Requests are highly appreciated! Love you!

THANK YOU SO MUCH FOR THE SUPPORT~ I'll see you on my other stories UwU

MDNI!

Ja ne~

~𝓒𝓱𝓲𝓱𝓪𝓻𝓾-𝓬𝓱𝓪𝓷🌸

𝐊𝐲𝐨𝐣𝐮𝐫𝐨 𝐑𝐞𝐧𝐠𝐨𝐤𝐮 𝐕𝐞𝐫𝐬𝐢𝐨𝐧 | 𝐓𝐞𝐧𝐠𝐞𝐧 𝐔𝐳𝐮𝐢 𝐕𝐞𝐫𝐬𝐢𝐨𝐧 | 𝐆𝐢𝐲𝐮 𝐓𝐨𝐦𝐢𝐨𝐤𝐚 𝐕𝐞𝐫𝐬𝐢𝐨𝐧 | 𝐒𝐚𝐧𝐞𝐦𝐢 𝐒𝐡𝐢𝐧𝐚𝐳𝐮𝐠𝐚𝐰𝐚 𝐕𝐞𝐫𝐬𝐢𝐨𝐧 | 𝐎𝐛𝐚𝐧𝐚𝐢 𝐈𝐠𝐮𝐫𝐨 𝐕𝐞𝐫𝐬𝐢𝐨𝐧

[cheezeybread]

I just finished finals and I need the twst boys to suffer. I need a oneshot with the first year squad needing to solve algebra, chemistry, Literature, etc. All the crap we've had to put up with in normal school I wanna subject them to it. Ace making fun of us for not understanding magic homework? Tough shit, now the bastard has to solve these functions and figure out some parabolas!

Make the boys suffer, I can get behind that idea 😎

Also, I saw somewhere that someone hc'd Deuce as having a learning disability or some type of dyslexia? I think it works so well with him saying he had issues with school and not having good grades no matter how hard he worked at it.

⚛》》》◆《《《⚛

"I hate this!" Deuce muttered harshly, his eyes watery and half-closed. He had been staring at the same problem for the past twenty minutes, nothing more than an erased question mark to show for all his efforts.

"Boohoo, bastard, try being as clever as me, maybe," Ace shot back, sounding like the confident prick he was. However, when you glanced down at his paper, you could see tear stains on it, and the sheer amount of damage done to it by being erased so many times.

You sighed, leaning your head back on the sofa. Sitting on the floor, working on your seperate homework on the coffee table, were you, Ace, Deuce, and Grim (of course Grim was piled up on a bunch of books to be able to see his work. And so that you could make sure he wasn't cheating). Unfortunately for everyone, it was the time of year for exams. Right before winter break let out, you had to fight for your freedom. And unfortunately for the boys, NRC was a college- which meant that while it was also a "Magic-specialized" school, it had other classes, as well. Such as basic World History, English, Non-magical science, and math. Fortunately for you, the Math and English were close enough to the same ones back at home that you already knew most of it.

So you were coursing through the classes with grace and ease, leaving your friends stumbling and begging for help with their own classes.

For once, you were at top! No more were you this magicless human that they felt like they had to defend....well, you still were, technically, but now you were more known as the smart person who could help tutor the other Freshmen.

And since they were oh, so desperate for your help, you were able to charge thaumarks per tutoring session. With special discounts for your closer friends, of course.

Maybe the amount of power was starting to go to your head. Or maybe Azul had finally rubbed off on you. Either way, you had some extra money in your pocket for once, and you could afford to buy snacks! Snacks! For you to eat! And other fun little gidgets and gizmos that you could only stare at wistfully in shop windows!

Through the sessions, you had learned everyone's weaknesses and what subjects they needed help on the most.

Deuce had issues with English classes- mainly reading difficult passages and understanding them. You suspected he had dyslexia or some other type of learning disability. But you found that if you read the passage out loud slowly, he was able to retain the knowledge better.

Ace had issues with math. Specifically graphs and the mathematical equations that went with them. Parabolas, Quadratic formulas, you name it! it made him want to tear his hair out....and it made you want to bash his head into a wall just helping him. But if you worked out a problem a few times, he would eventually understand it. Maybe. Until the next problem, and then he'd forget it all over again.

Jack had issues with World History. All he kept saying was that if he couldn't smell it, it didn't matter well enough. To which you always had to reply with "that's dumb". Dates and times were definitely not his strong suit. But! If you mentioned Riddle during your tutoring sessions, Jack would work much harder at memorizing information. It was almost like he wanted Riddle to be impressed with him...even though Riddle was never at any of the study sessions.

Epel also struggled with English. He didn't understand why he had to find out what the text meant with a whole buncha "metaphors" and stuff. "The author meant what they wrote, didn't they? Why should I have to put a buncha words into their mouth???" But once you explained to him that the teacher wanted to see what Epel himself thought about the text, it all clicked for him. Now he just made up some semi-passable nonsense as his answers.

And Sebek...well, he was Sebek. He struggled a little bit with all of it, in his own way. But having Malleus sit in with some of the study sessions was remarkably helpful. You only had to help Sebek twice before he started doing better on his own.

"YNnnnnnnnNNNNN!" Ace groaned, giving up his false sense of confidence "I'm tiiiiiiired." There was a thud, and you glanced over to see Ace's head up against the table.

"Hey, back to work," You said, thumping the side of his head "Or you could keep resting and just pay me for another session. You know what, honestly, do whatever you want. It's your exam you're gonna flunk, not mine."

"You're such a tyrant..." Ace grumbled, begrudgingly lifting his head just enough to be able to write on his paper.

"No, even Riddle doesn't charge us for study sessions," Deuce chuckled tearfully, rubbing one of his eyes "They're more like Azul."

"Boohoo, bastard," You stuck your tongue out, mimicking Ace's insult from earlier.

Deuce opened his mouth to retort, but his expression changed to confusion "Actually, wait- where's Grim at?"

A glance towards the empty spot at the table, and it was clear the direbeast was gone.

"Crap," You hissed, standing up quickly, wondering what sort of mischief he had gotten into now.

There was a thundering boom from the kitchen. Grim had stuck his homework in the oven to hide it from you, but put the oven at 500 degrees to get rid of the evidence quicker....which led to the old thing exploding.

Needless to say, Grim did not earn any more tutoring sessions from you.

⚛》》》◆《《《⚛

[white-poppie]

Cliché' get Closer

Synopsis: When the local 'bad boy' of your institution falls in love. There is a palpable tension that hangs tantalizingly amongst you. The universe plays its game to make the two of you, end up in compromising situations. Cliches that have your heart throbbing!

Characters: Hanma Shuji, Ran Haitani,

A/N: trying something new with multi-tenses

𝐑𝐀𝐍 𝐇𝐀𝐈𝐓𝐀𝐍𝐈

You have no idea how you ended up like this. As far as you remember, it was supposed to be a study session for Ran who was failing miserably.

...

The teacher had suggested Ran take peer tuition from you. He had walked outside the classroom and looked at you. Your eyes meet. Amethyst pupils…Ran Haitani's eyes were the prettiest you had ever seen. He looked at you half liddlely, twirling his dual-coloured braids in his fingers.

The expression on his face was unreadable. You can feel your heart pounding in your chest. You couldn't help but be embarrassed, but you couldn't help but stare at the tall and broad-shouldered man in front of you. His eyes scanned you up and down and then he smiled, his intense gaze softening. You felt a warmth spread through your body as if the sun came out of behind the clouds.

"Y/N could you come here for a moment, I need to talk to you,” he had said to you and you nodded apprehensively at your friends before following your older classmate. He's bad news. Everyone knows that. They avoid him like the plague. It's just him and Rin.

"What is up?" you asked softly, your heart was beating out of your chest due to an expression you don't know.

Ran took a deep breath and rubbed the nape of his neck, “So uh I don’t know how to put this, but I am failing all my classes and our homeroom teacher recommended me to talk to you if you would be interested in giving me peer tuition...since you are smart and stuff.” He said awkwardly and looks at your reaction.

You bit your lip as you considered all the options. He's a delinquent, a violent person, a known bad boy and basically the kid your parents tell you to stray away from. But its studies. if anything goes wrong you can always tell the teacher, right? There is no harm in giving him a chance... that's what you had thought.

...

Ran Haitani was insufferable.

"Wait what- how did you do that?" he asks, keeping his head on the table, like a puppy and you almost get the urge to pet this murderous delinquent.

You sigh and explain for the 5th time, "See you can't apply y=mx+c here since the graph is clearly not a linear function. It's not a straight line, but a symmetric curve. What did I say it is?"

Ran looks at you blankly and then answers, "Cubic function...?"

You facepalm at his answer and then look back at him, "It's a Quadratic function. y= ax^2 + bx + c."

"Ohh, now I get it." Ran nods and quickly scribbles in his notebook.

You sigh and rest your head on your palm as you look at Ran. Whenever he writes, his dual-colored braids move slightly. His knuckles are bruised as if he punched someone, and there is a tiny mole just above his lips. The way his lashes flutter innocently when he reads the problems almost makes your heart race. You can't help but be drawn to him, even though you know you shouldn't be. He looks up and catches your eye, and you quickly look away, feeling embarrassed. You take a deep breath and try to focus on the paper in front of you.

"Done," he says enthusiastically and you take his notebook and scan through the equations, you then look up at him with a smile and nod, "All correct, good job."

Ran smiles proudly and leans back on the chair, "You are a good teacher." You smile at his words and lean back in your chair, observing him silently.

"Say, Y/N," he asks quietly, "do you have a boyfriend?" He spins the pen between his fingers with dexterity. You look at him for a moment, feeling a slight flush on your cheeks. You shake your head lightly, averting your gaze. "No," you say, your voice soft and airy, "I don't have a boyfriend."

His gaze lingers on you for a moment, his lips curling into a small smile. He nods his head ever so slightly and turns back to his work, spinning his pen in his fingers.

It's Ran Haitani, you have to remind yourself. The notorious delinquent of your school. You can't help but feel your heart flutter in your chest. He had always been a mysterious figure, never talking to anyone, but in that moment, he had seemed almost human. He wasn't the same person that everyone whispered about in the hallways, but someone more complex and intriguing.

"What are you thinking about?" he asks and rests his face on his palm. "Well anyways I think this unit is done." He says proudly.

You nod and pack up your things, "I guess that's it for today, I'll let you know if I'll continue the tuition by Monday. You say, ready to leave as he grabs your hand.

"Wait," he says gently, "let me walk you home." He wants to make sure you get home safely and is showing a kind gesture by offering to walk you home. He also might be trying to extend the conversation and see if you want to continue having tuitions in the future.

"Alright." You two leave the library and walk in silence for a while. Your tote bag with books slung over your shoulder.

The sidewalk is almost empty. The two of you stroll toward your house peacefully, but suddenly a rampant kid approaches with his bike out of control and you don't know what to do. At this point, he is incapable of controlling the bike due to its speed. "Move!" he shouts, unable to control the bike.

Ran panics as he thinks of a way to escape and does what seems the closest escapade. He pushes you and himself towards a wall on the right, his hand behind your head. Ran looks back at the kid, scowling at him and then he looks into your eyes as his breathing speeds up. He has you pinned to the wall. Your watery eyes peering up at him almost make him want to tilt his head and capture your lips in his.

He coughs and moves away, a faint blush adorning his face. "Let's go." He says as you two walk towards your house. There is silence again, but it is awkward.

He pauses as you two reach your house. You nod at him, about to enter in as he says.

"I look forward to our next tutoring session, Y/N. Maybe this time I could teach you a thing or two."

𝐇𝐀𝐍𝐌𝐀 𝐒𝐇𝐔𝐉𝐈

"I am regretting my life right now, Hanma Shuji," you whisper-shout as he unlocks the window of the library.

"Relax, sweetheart, I'll get ya' out safe and sound," he says and you feel warmth on your face at that term. You and Hnama had been paired up for an assignment and he had kept on delaying it until the end till the research for the final conclusion of the project was still left.

...

So there he was on the floor of your dorm room, the importance of the university assignment is finally hitting him.

“How do we get the research? Is the internet enough?” He had asked and you shook your head.

“It’s such an oddly specific topic that if can only be done by a few textbooks that are in the library. It would be closed by now! The deadline is tomorrow.” You said rubbing your finger on you temples.

Hanma sighs, his tongue rests on the corner of his lips,”Its my fault I get it, it was a two people project, you handled so much on your own while I was preoccupied with gang shenanigans.” He said, for once taking his education seriously because he knows this accounts to huge percentage of the aggregate and more importantly cause it’s you.

"Lets sneak into the library then," he said and you frowned.

"What? Its 11 PM right now, it must be closed." You huffed.

"Just trust me."

....

The lock opened with a click and he urged you to go in first. You bite your lips and climb into the low window with Hanma's help. His long fingers grip your waist as he easily hoists you up on the sill and the climbs up himself. His tall stature making it easy for him.

You both land on the library floor with a plop and Hanma whispers, "where is it?"

"Probably the left wing, lets go," you whisper back , standing up as you walk slowly to the set of shelves.

Hanma switches on the flash of his phone as he searches through the titles with you, checking the spines of the books, you look at the downward shelves while he checks the upper ones.

"Got it!" He exclaims and takes out the book and shows it to you. You nod in approval at his efficiency. You both switch off the flash and are about to leave when the guard's footsteps are heard.

Your eyes widen as you look at Hanma with a fear-struck expression. Hanma quickly grabs your hand and huddles at the back of the rack with you. He gazes behind the shelves and both of your heartbeats are pounding.

The guard flashes the torch around and leaves. You breathe a sigh of relief, but soon realise the way you are pressed against him. Hanms seemed unfazed, but you could tell that wasn't the case by his rapid breathing and heart thumping under your hand.

You could feel the tension between the two of you, the palpable heat radiating off Hanma's body as you pressed up against him. You both seemed spellbound at the moment, neither willing to break the gaze or the silence that hung in the air.

His hand shakily reaches your cheek to brush the strands of hair that fall on your face. His amber eyes, seemed to be searching for an answer in yours, as though he was trying to read your mind and uncover the secrets of your soul through your gaze alone. You could feel the intensity of the moment, each of you seemingly lost in the other in a way that felt both frightening and exhilarating at the same time.

" 'S pretty," he mumbles hoarsely like it's your name, his back against the side of the bookshelf. He whispers with a dulcet voice that kissed the air like the smell of a fresh blossom of Night Jasmine.

He did this cause he was guilty that has stressed you out more. You who makes an annoying softness in his heart light up, how he subconsciously bends a little while he talks to you, bites his tongue from using crude words…what have you done to him?

You were supposed to be just another student in his batch, when did he get addicted to your voice? When did he start noticing your perfume notes?

It's only an attraction he thinks. Only pure infatuation that comes with your expressive eyes and endearing demeanour...but it's not, it's so much more at it kills him.

He then snaps back into reality and helps you up on your feet, giving you no chance to question his words, "Let's finish the assignment first...we could go for coffee tomorrow."

Of Vengeance and Ashes” -> BUY NOW!!!! I am a 15-year-old author who needs support, I assure you it won't disappoint! It's okay if you don't buy, it would be enough to share the link with someone else who might be interested! I humbly request you support my career as a child author by purchasing my book. This would help me to write more books in future.

Also Check out: L'appel du vide (✔️) (Synopsis: Your husband, Hanma Shuji is dead! With no memories of what transpired two days before his death, you team up with Tachibana Naoto, Chifuyu Matsuno, Ryuguji Ken and Mitsuya Takashi, you go on a journey full of betrayals and twists. Can you find out what really happened to your husband? )

© white-poppie 2023. all rights reserved. do not repost, modify, or translate without permission. do not claim work or layout as yours.

— TOKYO REVENGERS - Fanfictions

TAGS: @akumicchi, @denkis111, @jazzylove, @lordmypantsaresocool, @futuristicallykawaiiturtle, @kristaline2dmensimp, @rintaroubby @nanaseishiro @cleaningfairylevi, @buttercupspotify

﹒ Taglist   (lmk in the comments in case you wanna be added and the link doesn't work!)

[sunnies-theory-of-happiness]

girl have you heard of a sleep schedule <- just redid my homescreen again and put ur timezone on again and. go to bed

I CANT IM DOING GRAPHS OF QUADRATIC FUNCTIONS ☹️

[catsushinyakajima]

i see math major 👀 i have to take brief calculus in the fall after not taking a single math class in 5 years… any tips to not overwhelm myself??

hi! okay sorry for the late response, I was gearing up to respond throughout the week and drafting good advice. disclaimer: I wrote A LOT. I promise it's not very scary and if it feels overwhelming, please digest it in bits. I just yap a lot and I wanted to cover all my bases.

Five years is a long time without math and enough time to forget lots of things! It's good that you're getting a good head start so there's no need for you to worry.

I'd start by practicing basic algebra: systems of equations, algebraic expressions (solving for x and stuff), linear/quadratic/exponential equations, etc. I will say, even if you once knew how to do this and used to be very good at it, there is a chance that you forgot a lot and lost your touch. Do not be deterred by that. It is OKAY. I've taken many levels of calculus, didn't take any math for a year, and then completely forgot how to factor an equation. It just happens- math is something you have to work your way back into by making a habit of it.

Then you should review trigonometry, more advanced algebra topics, etc: this is algebra II/pre-calculus. In my opinion, it's just a more extended version of basic algebra. You can review matrices too (part of alg II), but it's not very relevant to calculus unless you're taking differential equations (calc 4). But definitely, DEFINITELY, review trigonometry (sin/cos/tan, triangles, rules for their equations, the UNIT CIRCLE).

I'd say that's a good summary of things to catch up on. Once again, it is okay if you mess up some ridiculously "easy" review problems. It's seriously so, so normal, and it doesn't mean that you're set back too far or have an arduous journey ahead of you. The more you get used to doing math, the more you'll get better at it!

Here's a quick overview of topics taught in calculus I: limits, derivatives, applications of derivatives, integrals, applications of integrals.

If you have time, you could totally look into the topics that'll be taught during your semester too. You're already getting a head start by looking into reviewing things, but this would push you even forward.

Here are links to some free resources for you to use for ANY topic you choose to review (you might know some of them):

Khan Academy: has lots of videos and tutorials. Breaks topics down really well. Has review problems with answers and breakdowns of solutions. The review problems are generally basic compared to in-class test questions, but it's good for building a foundation

Organic Chemistry Tutor: This guy is the goat. His youtube videos are really thorough and he's good at explaining things and he'll walk you through different problems.

symbolab: this is an online calculator that can solve lots of different types of equations, including calculus equations! You can input the most tough, weirdest looking equations with ten variables, and as long a it's solvable it'll give you an answer

desmos: online graphing calculator! It's amazing for visualizing equations and functions.

If you have access to whatever textbook your teacher might use in the fall too, that's also great! Also, feel free to reach out to ME for any math help. I am the biggest math nerd ever so I would probably get excited to help you AHAH. I've done one of my mutuals physics homework before so I promise you wouldn't be overstepping if you asked me for anything else. Good luck on your studies!

[mit]

Teen uses calculus learned through MITx to better understand his cancer treatment

High schooler Dustin Liang estimated his blood cell counts by applying knowledge from an MITx course and talking to doctors.

Sara Feijo | MIT Open Learning

When Dustin Liang was diagnosed with T-cell acute lymphoblastic leukemia in June, the cancer consumed his life. But despite a monthlong hospital stay, aggressive chemotherapy treatments, and ongoing headaches, fatigue, loss of appetite, and nausea, the 17-year-old high school senior enrolled in MITx’s class 18.01.1x (Calculus 1A: Differentiation).

MITx, part of MIT Open Learning, offers hundreds of high-quality massive open online courses adapted from the MIT classroom for learners worldwide. The Calculus 1A: Differentiation course was designed and created by the Department of Mathematics and offered through the MITx program. Liang took the free course this summer in between treatment sessions and medical tests so that he could meet the four-year math requirement to graduate from a Massachusetts high school — an arrangement he made with his school. 

In class, Liang learned how to differentiate functions and how to make linear and quadratic approximations. He then applied this knowledge to estimate his blood cell counts. “I was in a hospital bed when I saw the doctor draw a graph of my neutrophils on a whiteboard, and I thought you could apply a quadratic approximation to it to estimate my blood cell counts at a certain time in the future,” Liang recalls. “I talked to the doctors about it, and they said it was a good idea but that they currently didn’t have the technology to do that.”

In Calculus 1A, Liang was learning how to predict the near future value of a function using linear or quadratic approximation methods. After seeing a doctor’s chart of his neutrophils, Liang hypothesized that he could use quadratic approximation to predict his neutrophil count. 

“Given a series of points of the blood cell counts, a function can be modeled,” Liang explains. “So, predicting a future point not far away is mathematically feasible.”

Determined to test his idea, Liang called his mentor, Jiawen Sun, who works in a London security exchange firm as a trading analyst simulating and modeling stock market behavior. Sun helped Liang create a graph to estimate Liang’s neutrophil count at a certain time. When Liang compared the graph to his blood test results, he found that the math worked.

“I was able to predict the blood cell counts. It was a little off, but close enough,” Liang says. “There are some challenges in simulating the function of blood cells. However, the human blood cell counts turned out to be converging easier than the stock market to simulate.”

Keep reading.

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[math-journal]

Parabola flipping

Due to the vertical line test, a (x)^2 parabola wouldn’t pass, therefore it is unlikely to be on a test unless it is depicted outside of a function context.

[authorjond369]

Common Graphs and Formulas in Algebra: Your Visual Library of Functions

Common Graphs and Formulas in Algebra: Your Visual Library of Functions Every algebra student needs a visual library of basic functions and how they appear on a graph. These aren’t just important for exams—they form the foundation for transformations, modeling, and calculus. This final reference page summarizes six of the most common parent functions: quadratic, cubic, square root, reciprocal,…

[cecestudies]

Essential Topics You Must Master for A Level Maths Success

Struggling with A Level Maths revision? In this guide by Exam Tips, we break down the essential topics you must master for A Level Maths success. Whether you're aiming for an A or just trying to pass confidently, focusing on the right areas can make all the difference. From core algebra and calculus to statistics and mechanics, we highlight the key concepts that appear frequently in exams and how to tackle them efficiently. With smart strategies and topic-focused revision, you’ll boost your confidence and performance. Let Exam Tips be your go-to source for structured A Level Maths revision, practice insights, and proven study methods. Start mastering the topics that matter most—and leave the guesswork behind.

Mastering Algebraic Techniques and Expressions

Algebra forms the backbone of most questions in A Level Maths. You must be comfortable simplifying expressions, solving equations, and manipulating algebraic fractions. Factoring, expanding brackets, and completing the square are all skills that appear across different types of problems. Understanding how to use functions and their notations is equally important, especially when combined with graph sketching and transformations. Exam Tips recommends starting your A Level Maths revision by reinforcing these core algebraic techniques since they often build into more complex topics like calculus and trigonometry.

Deep Understanding of Calculus Fundamentals

Calculus is one of the most heavily weighted topics in A Level Maths exams. You’ll need to grasp the principles of differentiation and integration, including their real-world applications. This includes curve sketching, finding stationary points, calculating areas under curves, and solving problems involving rates of change. It's crucial to not only memorise formulas but also understand when and how to apply them effectively. A structured approach from Exam Tips ensures that your A Level Maths revision includes progressive problem-solving that reinforces both basic and advanced calculus skills.

Trigonometry and Its Real-World Applications

Trigonometry plays a key role in both pure and applied mathematics. You should be confident in using identities, solving equations, and working with radian measures. Real-world applications like modelling wave functions and solving vector problems often incorporate trigonometric principles. As you progress in your A Level Maths revision, practicing with unit circle diagrams and trigonometric transformations will help solidify your understanding. Exam Tips suggests integrating these concepts with questions from mechanics and coordinate geometry to deepen your problem-solving ability.

Working with Functions, Graphs, and Transformations

A thorough understanding of functions and graphs is essential to A Level Maths success. You’ll encounter a variety of functions including linear, quadratic, exponential, and logarithmic forms. Being able to draw, transform, and interpret graphs is a skill tested across both Paper 1 and Paper 2. Students are often required to analyse roots, intercepts, and asymptotes. As part of your A Level Maths revision plan, Exam Tips encourages consistent graph-based practice to develop a visual intuition for mathematical relationships and behaviour of functions.

Statistical Techniques and Probability Concepts

The statistics component in A Level Maths includes data representation, hypothesis testing, and interpreting statistical diagrams. It also requires understanding of key distributions, such as binomial and normal. Probability questions often involve Venn diagrams, conditional probability, and expected outcomes. These questions test your ability to apply logical thinking to real-world scenarios. Exam Tips recommends integrating statistical problem sets into your A Level Maths revision early on, so you become comfortable with data interpretation and numerical reasoning.

Mechanics: Kinematics and Newton’s Laws

Mechanics introduces physical applications of mathematical theory, with a focus on motion, forces, and energy. You’ll need to understand velocity-time graphs, equations of motion, and the principles of Newton’s laws. Problems often involve modelling real-life scenarios with diagrams and resolving forces in components. Exam Tips advises students to connect mechanics with algebra and calculus topics, as many problems overlap conceptually. A Level Maths revision should include both conceptual learning and practice-based assessments in this area.

Solving Realistic Modelling and Word Problems

A Level Maths increasingly includes worded problems that require mathematical modelling. These questions assess not only your computational ability but also your analytical thinking. You must identify relevant information, translate it into mathematical form, solve the problem, and interpret your result. Topics such as exponential growth and decay, optimisation, and dynamics often appear in this format. As you revise with Exam Tips resources, focus on breaking down complex questions into manageable parts. Developing this skill will greatly improve your overall exam performance.

Conclusion

Succeeding in A Level Maths requires more than just learning formulas — it demands deep understanding and consistent practice. By focusing your A Level Maths revision on the essential topics discussed above, you’ll build a strong, exam-ready foundation. Exam Tips is committed to helping students unlock their potential with focused guidance, practical resources, and expert strategies. Remember, success in maths isn’t about doing everything — it’s about doing the right things the right way. Stay focused, stay curious, and trust the process.

[alicemark0087]

ACT Math Practice Tips for Mastering Every Section

The ACT Math section can feel like a high-pressure sprint: 60 questions in 60 minutes, covering everything from basic arithmetic to trigonometry. Whether you’re a math whiz or someone who breaks into a sweat at the sight of equations, strategic ACT Math practice is the key to boosting your confidence and score. This guide will walk you through the test’s structure, the topics you need to master, actionable strategies, and the best resources to help you prepare—without any fluff or sales pitches. Let’s dive in!

Understanding the ACT Math Section: What You’re Up Against

The ACT Math test is a 60-minute, 60-question marathon designed to assess skills you’ve learned up to the start of 12th grade. It’s multiple-choice, calculators are allowed (with some restrictions), and there’s no penalty for guessing—so always answer every question! Here’s what you need to know about the content and structure:

Content Breakdown

The test focuses on six core areas, weighted by approximate percentage:

Pre-Algebra (20–25%) involves fractions, ratios, percentages, and basic number operations. These topics form the foundation of many questions on the test.

Elementary Algebra (15–20%) covers solving linear equations, inequalities, and simplifying expressions. A strong grasp of these concepts is essential for handling more complex algebraic problems.

Intermediate Algebra (15–20%): includes quadratic equations, functions, and systems of equations. This section tests your ability to solve more advanced equations and interpret complex algebraic relationships.

Coordinate Geometry (15–20%) focuses on graphing lines, circles, and understanding slopes and distance formulas. Mastering these concepts is key to solving geometry problems on the coordinate plane.

Plane Geometry (20–25%) involves the properties of shapes, angles, and geometric proofs. Understanding these concepts is essential for geometry-based questions on the test.

Trigonometry (5–10%) involves right triangles, sine/cosine/tangent functions, and basic trigonometric identities. While this section is smaller, it's still important to understand these concepts well.

You’ll also receive three subscores (Pre-Algebra/Elementary Algebra, Intermediate Algebra/Coordinate Geometry, and Plane Geometry/Trigonometry), which help pinpoint strengths and weaknesses.

Key Logistics

No formula sheet: You won’t get a formula sheet, so make sure to memorize essential formulas like the quadratic formula and the area of a circle before the test.

Calculator policy: Most graphing calculators are allowed, but avoid models with a computer algebra system (CAS). Double-check your calculator ahead of time to ensure it meets ACT guidelines.

Pacing: Aim for one minute per question. Prioritize easier problems first, quickly solving them and returning to more difficult ones later to maximize your score.

Key Topics to Focus On During ACT Math Practice

While the ACT covers a broad range of math concepts, certain topics appear frequently. Here’s what to prioritize:

Pre-Algebra & Elementary Algebra

These foundational topics make up nearly 40% of the test. Focus on:

Word problems involving ratios, percentages, and proportions, which are often framed in real-life scenarios.

Solving linear equations and inequalities, with an emphasis on real-world contexts such as determining the cost of items after tax or finding the time required for a journey.

Basic statistics, including mean, median, mode, and probability, and their applications in everyday situations like analyzing data or predicting outcomes.

Intermediate Algebra & Coordinate Geometry

These sections test your ability to solve more complex equations and interpret graphs:

Quadratic equations especially through factoring, completing the square, and applying the quadratic formula, which are essential for understanding more advanced mathematical concepts.

Functions including linear, polynomial, and logarithmic types, which are key in analyzing real-world trends such as growth patterns, financial models, and scientific data.

Graphing lines and circles, along with analyzing slopes, midpoints, and distances between points, which will test your spatial reasoning and understanding of coordinate geometry.

Plane Geometry & Trigonometry

Though trigonometry is the smallest category, it’s often the trickiest for students:

Area and volume calculations for two-dimensional and three-dimensional shapes like triangles, circles, spheres, and pyramids.

Understanding triangle properties such as the Pythagorean theorem, and the principles of similar and congruent triangles.

Basic trigonometric ratios such as sine, cosine, and tangent (SOH-CAH-TOA) along with unit circle concepts.

Top Strategies to Maximize Your Score

Knowing the content isn’t enough—you need smart test-taking tactics. Here’s how to practice effectively:

Simulate Real Test Conditions

Taking timed practice tests weekly will help build your stamina and pacing for the ACT. Using official ACT tests provides the most accurate experience and prepares you for the real exam. After each test, review your mistakes thoroughly. Reflect on whether the error was due to a calculation mistake, a misread question, or a gap in your knowledge.

Master Time-Saving Tricks

For algebra, try plugging in answer choices instead of solving from scratch. Eliminate obviously wrong answers to improve guessing odds. Use your calculator only for complex calculations, like trigonometry.

Avoid Common Pitfalls

It’s important not to over-rely on your calculator, as some problems can be solved faster mentally or with scratch work. Always double-check the units and wording of questions, especially if they involve measurements. For example, a question asking for the "radius" but giving the "diameter" is a common trap to watch out for.

The Best Resources for ACT Math Practice

You don’t need to spend a fortune to prepare well. Here are trusted free and paid tools:

Free Resources

Official ACT Practice Tests are the best for realistic questions and can be downloaded from the ACT website. Khan Academy offers free video tutorials on algebra, geometry, and trigonometry. Varsity Tutors provides diagnostic tests and concept-specific drills.

Paid Resources

The Official ACT Prep Guide includes six full-length practice tests with detailed explanations. PrepScholar offers an online course that adapts to your strengths and weaknesses. Barron’s ACT Math Workbook focuses on problem-solving strategies and high-yield topics.

Pro Tip: Build a Study Schedule

Start early with 2–3 months of consistent practice. Mix content review with practice tests, spending about 30% on learning concepts and 70% on applying them. Track progress weekly to note improvements in speed and accuracy.

Final Thoughts: Turning Practice Into Progress

The ACT Math section isn’t about being a human calculator—it’s about strategy, pacing, and knowing where to focus your energy. By targeting high-impact topics, practicing under timed conditions, and using mistakes as learning tools, you’ll build the skills to tackle even the toughest questions. Remember, consistency is key: Even 20–30 minutes of daily practice can lead to significant improvements. Now grab that calculator, hit the books, and get ready to crush this test!

[codingprolab]

CS 202 Homework #4 – Hashing and Graphs

Question 1 – 15 points (a) [6 points] Insert {12, 15, 20, 30, 41, 29, 17, 25, 22} into an empty hash table which: • uses linear probing for collision resolution. • uses quadratic probing for collision resolution. • uses separate chaining. The size of each hash table is 13 and the hash function is: h(x) = x mod 13 (b) [9 points] Find the average number of probes for a successful search and an…

[geniustut]

The Integrated Program in Management Aptitude Test (IPMAT) is a highly competitive exam that requires thorough preparation, particularly in the Quantitative Aptitude section. This section assesses a student’s problem-solving skills, mathematical proficiency, and logical reasoning abilities. Many aspirants seek the best coaching for IPMAT in Delhi to enhance their preparation and improve their chances of success.

Why is Quantitative Aptitude Important in IPMAT?

Quantitative Aptitude is a crucial part of the IPMAT exam as it evaluates a candidate’s ability to handle numerical and analytical problems. A strong foundation in this section can significantly impact overall performance. For this reason, enrolling in IPMAT coaching online in Delhi can provide structured learning and expert guidance to tackle this challenging section effectively.

How Coaching Helps in Mastering Quantitative Aptitude

1. Structured Learning Approach

One of the key advantages of joining the best online coaching for IPMAT in Delhi is the systematic and structured learning approach. Coaching centers divide the syllabus into smaller topics, allowing students to focus on each concept separately. This ensures a better understanding and gradual progression in complexity.

2. Expert Guidance and Teaching Methods

Coaching institutes provide experienced faculty who specialize in IPMAT preparation. Through IPMAT preparation coaching in Delhi, students receive expert mentorship that helps them grasp mathematical concepts efficiently. Faculty members use real-world examples and problem-solving techniques that make learning engaging and effective.

3. Regular Practice and Mock Tests

Frequent practice is essential for mastering Quantitative Aptitude. Enrolling in an IPMAT online course in Delhi provides students access to numerous mock tests and practice papers that simulate the actual exam environment. Regular tests help in improving speed, accuracy, and time management, which are critical for this section.

4. Concept Clarity with Doubt-Solving Sessions

Many students struggle with difficult topics like Algebra, Probability, and Number System. IPMAT online coaching in Delhi offers doubt-solving sessions where students can get their queries addressed by experts. This enhances conceptual clarity and boosts confidence in problem-solving.

5. Personalized Learning Experience

One of the benefits of IPMAT coaching near me in Delhi is that coaching institutes provide customized learning plans based on individual student strengths and weaknesses. Online coaching platforms analyze performance and suggest specific areas for improvement, ensuring that students get the most out of their preparation.

Key Quantitative Aptitude Topics Covered in IPMAT Coaching

1. Arithmetic

Profit & Loss

Percentages

Time, Speed, and Distance

Simple and Compound Interest

2. Algebra

Quadratic Equations

Linear Equations

Polynomials

Functions and Graphs

3. Number System

Divisibility Rules

Factors and Multiples

HCF and LCM

4. Geometry and Mensuration

Properties of Triangles

Circles

Volume and Surface Area

5. Probability and Statistics

Basic Probability Concepts

Mean, Median, and Mode

Permutations and Combinations

How to Choose the Best IPMAT Coaching?

When searching for IPMAT classes near me in Delhi, students must consider factors such as faculty experience, study material quality, and student support services. Here are some key aspects to look for:

Qualified Faculty: Ensure the coaching institute has experienced instructors who specialize in IPMAT preparation.

Comprehensive Study Material: The best coaching institutes offer updated notes, question banks, and reference materials.

Mock Tests and Performance Analysis: Regular assessments help track progress and improve weak areas.

Flexible Learning Options: Many students prefer IPMAT coaching online in Delhi for convenience and flexibility.

Advantages of IPMAT Online Coaching in Delhi

1. Learn Anytime, Anywhere

With online coaching, students can attend classes from the comfort of their homes, eliminating travel time. This makes it a convenient option for those looking for IPMAT preparation coaching in Delhi with flexible learning schedules.

2. Access to Recorded Lectures

Online coaching platforms provide recorded lectures that students can revisit anytime. This helps in revising difficult topics and reinforcing learning.

3. Interactive Learning Environment

Many online coaching programs include live interactive sessions where students can participate in discussions and ask doubts in real-time, making learning more engaging.

4. Cost-Effective Learning

Compared to traditional classroom coaching, IPMAT online coaching in Delhi is often more affordable while providing high-quality education and resources.

Conclusion

The Quantitative Aptitude section of IPMAT requires focused preparation and strategic learning. By enrolling in the best coaching for IPMAT in Delhi, students gain access to expert guidance, structured study plans, and extensive practice material. Whether you choose classroom learning or opt for an IPMAT online course in Delhi, selecting the right coaching institute is crucial for success.

Investing in IPMAT coaching near me in Delhi can significantly improve mathematical proficiency, boost confidence, and enhance overall performance in the exam. Choose the best coaching option that suits your learning style and start your journey towards IIM success today!

Originally published at https://www.geniustut.com on March 6, 2025.

[yadavkhushboo]

CAT Syllabus

The CAT (Common Admission Test) is one of the most competitive entrance exams for admission into management programs, primarily in prestigious Indian Institutes of Management (IIMs) and other top business schools. The exam assesses a candidate’s abilities in various sections, including Verbal Ability, Quantitative Ability, and Data Interpretation & Logical Reasoning. The syllabus for the CAT exam is broad and tests a wide range of skills required for management education. Below is a detailed breakdown of the CAT syllabus and its key components.

1. Verbal Ability and Reading Comprehension (VARC): The Verbal Ability and Reading Comprehension section of the CAT syllabus assesses a candidate’s proficiency in understanding and analyzing written material in the English language. This section evaluates vocabulary, grammar, and comprehension skills. The major topics in this section include:

Reading Comprehension (RC): Candidates are given passages followed by a set of questions based on the content of the passage. The passages can cover a variety of topics such as literature, social issues, science, and history. The aim is to test the candidate's ability to understand, interpret, and draw conclusions from the passage.

Verbal Ability (VA): This includes a variety of question types, such as:

Para Jumbles: Rearranging the sentences in a logical sequence to form a coherent paragraph.

Sentence Correction: Identifying and correcting errors in sentence structure, grammar, and usage.

Fill in the Blanks: Completing sentences using the most appropriate words.Para Summary: Condensing a paragraph into a brief summary without changing the meaning.

2. Quantitative Ability (QA)The Quantitative Ability section assesses a candidate’s mathematical and problem-solving skills. This section is designed to test how well a candidate handles numbers, algebra, geometry, arithmetic, and other quantitative topics. The major topics included in this section are:

Arithmetic: Percentages, profit and loss, ratios and proportions, time and work, time-speed-distance, simple and compound interest, probability, and number systems.

Algebra: Linear equations, quadratic equations, inequalities, and functions.

Geometry: Topics like lines, angles, triangles, circles, and coordinate geometry.

Mensuration: Surface areas, volumes, and areas of geometric figures.

Number Theory: Prime numbers, divisibility rules, HCF and LCM, and factors.

Modern Math: Permutation and combination, probability, and set theory.The difficulty level of the questions in this section ranges from basic arithmetic to advanced algebra and geometry.

3. Data Interpretation and Logical Reasoning (DILR) : The DILR section is designed to test the candidate’s ability to analyze data and think logically. It is divided into two parts: Data Interpretation and Logical Reasoning.

Data Interpretation (DI): This part includes questions based on graphs, tables, bar charts, pie charts, and other data representation formats. Candidates are expected to interpret the data and answer questions based on the given information.

Logical Reasoning (LR): Logical reasoning questions involve puzzles, seating arrangements, syllogisms, blood relations, direction sense, and more. The objective is to evaluate how well candidates can identify patterns, make logical deductions, and solve complex problems.

4. Other Important Information

Exam Pattern:

The CAT exam is typically divided into three sections, with a total of 100 questions. The exam is conducted online, and the duration is three hours. There is usually a time limit for each section, which means candidates need to manage their time effectively during the test.

Marking Scheme:

Each correct answer generally awards three marks, and each incorrect answer results in a deduction of one mark (negative marking). Unattempted questions do not carry any penalty.

Preparation Tips:

Success in the CAT exam requires thorough preparation across all the sections. Candidates should regularly practice mock tests, solve previous years’ question papers, and focus on strengthening their weak areas. Time management and accuracy are crucial for performing well in the exam.

Conclusion

The CAT syllabus is vast and tests a wide range of skills required for a management career. It is essential to understand the syllabus thoroughly and devise a study plan to cover all the topics effectively. By staying consistent, practicing regularly, and staying focused, candidates can increase their chances of performing well and securing admission into top business schools.