#quadratic equations class 10

[reyaint]

the classes | mandatory

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date: march 23, 2025. 3:01 am. (starting). i fell asleep. lmao. 10:30

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✧˖*°࿐ The Mandatory Classes

𓂃༊veltrius Lumos Academy's mandatory curriculum blends rigorous academics with cultural and artistic exploration. these courses ensure students develop critical thinking, research skills, creativity, and problem-solving abilities, preparing them for higher education and global careers.

✧˖*°࿐ Language Studies

𓂃༊students are required to take Haiqinian, Greek, and English throughout their academic journey.

*ೃ༄Haiqinian Language and Composition (3 years, Pre-AP & AP Available)

𓂃༊ Year 1 (Pre-AP or Regular Haiqinian Language & Composition I):

✧ 𓂃 › grammar & sentence structure: verb conjugations, syntax, and advanced sentence formation.

✧ 𓂃 › composition: essay writing, formal letters, and literary analysis.

✧ 𓂃 › literary study: introduction to Haiqinian classical and modern literature.

𓂃༊ Year 2 (AP or Regular Haiqinian Language & Composition II):

✧ 𓂃 › advanced grammar & writing: rhetorical devices, argumentation, and structured compositions.

✧ 𓂃 › comparative literature: study of Haiqinian texts alongside global literature.

✧ 𓂃 › research & analysis: writing research papers and learning source evaluation.

𓂃༊ Year 3 (AP or Regular Haiqinian Literature & Composition III):

✧ 𓂃 › critical literary analysis: deep dive into Haiqinian poetry, novels, and plays.

✧ 𓂃 › creative writing & public speaking: writing short stories, poetry, and persuasive speeches.

✧ 𓂃 › capstone research paper: a long-form thesis-style paper analyzing a Haiqinian literary work.

*ೃ༄Greek Language & Literature (3 years, required for all students)

𓂃༊ Year 1 (Greek I – Basic Grammar & Conversation):

✧ 𓂃 › introduction to the greek alphabet & pronunciation.

✧ 𓂃 › basic sentence structure: verb forms, nouns, and adjectives.

✧ 𓂃 › conversational skills: daily interactions, greetings, and essential expressions.

𓂃༊ Year 2 (Greek II – Intermediate Grammar, Translation & History):

✧ 𓂃 › complex sentence structures: subjunctive, conditional, and imperative verb forms.

✧ 𓂃 › translation practice: excerpts from Homer, Aesop, and historical texts.

✧ 𓂃 › greek culture & history: myths, political systems, and philosophy.

𓂃༊ Year 3 (Greek III – Advanced Reading, Writing & Translation):

✧ 𓂃 › advanced text analysis: works of Plato, Sophocles, and Aristophanes.

✧ 𓂃 › academic writing & discussion: essays on Greek mythology, ethics, and politics.

✧ 𓂃 › capstone project: a final presentation translating and analyzing a classical Greek work.

*ೃ༄English Language & Composition (2 years, English III is an elective)

𓂃༊ Year 1 (English I – General English Skills, Literature & Creative Writing):

✧ 𓂃 › grammar & vocabulary: structure, syntax, and advanced composition skills.

✧ 𓂃 › literature study: analysis of classic and modern English literature.

✧ 𓂃 › creative writing: poetry, short stories, and personal narratives.

𓂃༊ Year 2 (English II – Critical Thinking & Analytical Writing):

✧ 𓂃 › advanced literature study: British and American literature from different eras.

✧ 𓂃 › essay writing & rhetoric: persuasive essays, literary analysis, and argument development.

✧ 𓂃 › public speaking: presentations, debates, and discussions on literary themes.

𓂃༊ Year 3 (English III – Elective, Optional for Advanced Study):

✧ 𓂃 › world literature focus: exploring literature from South America, Asia, and Europe.

✧ 𓂃 › research & thesis writing: students write and defend a long-form literary thesis.

✧ 𓂃 › experimental writing styles: creative non-fiction, stream-of-consciousness, and hybrid prose.

✧˖*°࿐ Mathematics (3 years, AP Available)

*ೃ༄Core Math Progression:

𓂃༊ Year 1 (Algebra I w/ Probability – Pre-AP or Regular):

✧ 𓂃 › linear & quadratic equations: graphing, inequalities, and polynomials.

✧ 𓂃 › probability & statistics: basic probability theory, combinatorics, and statistics.

✧ 𓂃 › real-world applications: business forecasting, data analysis, and logical reasoning.

𓂃༊ Year 2 (Algebra II w/ Statistics + Precalculus – AP or Regular):

✧ 𓂃 › advanced algebra concepts: exponential/logarithmic functions, matrices, and conic sections.

✧ 𓂃 › statistics & data science: regression analysis, probability distributions, and data visualization.

✧ 𓂃 › pre-calculus introduction: trigonometric functions, sequences, and limits.

𓂃༊ Year 3 (AP Calculus + Finance or Regular Finance):

✧ 𓂃 › differential & integral calculus: derivatives, integrals, and applications in physics/economics.

✧ 𓂃 › financial mathematics: investments, banking, risk analysis, and economic modeling.

✧ 𓂃 › capstone project: using calculus and finance principles to analyze a real-world financial trend.

✧˖*°࿐ History & Social Sciences (3 years, AP Available)

*ೃ༄Year 1 (AP or Regular Haiqin History):

𓂃༊ linear & quadratic equations: graphing, inequalities, and polynomials.

𓂃༊ probability & statistics: basic probability theory, combinatorics, and statistics.

𓂃༊ real-world applications: business forecasting, data analysis, and logical reasoning.

*ೃ༄Year 2 (AP or Regular World History):

𓂃༊ advanced algebra concepts: exponential/logarithmic functions, matrices, and conic sections.

𓂃༊ statistics & data science: regression analysis, probability distributions, and data visualization.

𓂃༊ pre-calculus introduction: trigonometric functions, sequences, and limits.

*ೃ༄Year 3 (AP or Regular Government & Economics):

𓂃༊ differential & integral calculus: derivatives, integrals, and applications in physics/economics.

𓂃༊ financial mathematics: investments, banking, risk analysis, and economic modeling.

𓂃༊ capstone project: using calculus and finance principles to analyze a real-world financial trend.

✧˖*°࿐ Science Studies (3 years, AP Available for Some Courses)

*ೃ༄Year 1 (AP or Regular Chemistry):

𓂃༊ atomic theory & molecular structure: periodic trends and chemical bonding.

𓂃༊ thermodynamics & reaction kinetics: understanding physical and chemical reactions.

𓂃༊ lab work: hands-on chemical experiments, titration, and organic synthesis.

*ೃ༄Year 2 & 3 (Choice of Science, Must Take at Least One More):

𓂃༊ environmental science: climate change, ecosystems, and sustainable development.

𓂃༊ forensics: DNA analysis, fingerprinting, toxicology, and forensic anthropology.

𓂃༊ anatomy & physiology: human body systems, genetics, and medical applications.

𓂃༊ physics: classical mechanics, electromagnetism, and astrophysics.

𓂃༊ marine biology: ocean ecosystems, marine conservation, and field research.

✧˖*°࿐ Specialized & Cultural Studies

*ೃ༄AP or Regular Myths & Legends:

𓂃༊ greek & roman mythology: The Iliad, The Odyssey, Aeneid.

𓂃༊ comparative mythology: Norse, Celtic, Japanese, and Mesopotamian myths.

𓂃༊ symbolism & influence: how mythology influences modern media and storytelling.

*ೃ༄Astrology I (AP or Regular):

𓂃༊ foundations of astrology: birth charts, planetary movements, zodiac signs.

𓂃༊ cultural perspectives: astrology in Greek, Chinese, and Vedic traditions.

𓂃༊ scientific & spiritual debate: skepticism vs. belief, practical applications.

[mcrdvcks]

Sweet Dreams - Chapter 9

Chapter Summary: Alexandria is cleared to go back to classes after her near-death encounter, and a new student joins the school.

Word Count: 7.6k+

Pairing: Logan (X-Men) x Original Female Character (platonic relationship)

Notes: i can't wait for y'all to read this chapter, especially because this is where a lot of the future plots will stem from

Series Masterlist - Chapter 8 → Chapter 10

AO3 Link For Chapter

Two months after the HYDRA kidnapping, Alexandria was finally cleared to go back to classes. She suspected that Logan had convinced Kitty, Jean, and Scott to all keep an eye on her while he couldn’t.

As Kitty said, it was like she had a guardian angel and bodyguard wrapped in one.

On the third day of her being back during classes, Professor Xavier announced they had a new student, Matthew Roman.

She didn’t pay much attention to the announcement, until she had settled into her seat in algebra, Ms. Frost still getting together papers before class started in a few minutes, when a voice spoke up from her right.

“Hey, gorgeous.”

Alexandria looked through the notes Scott handed her, who was sitting on her left before the words soaked in and she turned her head to the right.

Matthew sat in the seat; his head propped up on his fist with a grin on his face. Alexandria turned to face Scott who paid no mind to her or the new kid.

“Who are you talking to?” she asked.

Matthew leaned back in his chair, twirling a pencil between his fingers, a grin still plastered on his face. “Who do you think?”

Alexandria arched an eyebrow at him, clearly unamused. “Are you talking to me?”

Matthew’s grin widened. “Of course. Who else would I be talking to?”

She narrowed her eyes at him and looked back at Scott’s notebook. “Scott could you explain- ” Alexandria looked over at Scott to find him gone, probably off to get some more water since he was complaining about spilling it at the end of breakfast.

“I could always explain it.” Matthew spoke again.

She looked back over at him, a glare on her face, but his grin was still there. She hoped he’d get the hint as she stood up from her desk and over to Ms. Frost’s desk.

Sure, she was a harsh teacher, but Alexandria’s pretty sure she’s softened up to her slightly. Especially after the whole almost dying thing she went through.

“Could you explain how you got this answer?” she asked, turning Scott’s notebook around and pointing to the problem.

Emma looked at the problem in the notebook. “Okay, Alexandria, this is a basic quadratic equation. The solution involves factoring or using the quadratic formula. The steps are as follows…”

Matthew's voice cut in, his tone nonchalant. “Hey, if you’re interested, I could explain it to you in a way that’s way more fun.”

Alexandria, still standing by Ms. Frost’s desk, glanced over her shoulder at Matthew. “And why would I want that?”

Matthew’s grin didn’t waver. “Because I’m way cooler than Ms. Frost. And besides, who doesn’t want a bit of flair with their algebra?”

Alexandria arched an eyebrow. “Flair?”

“Yeah,” Matthew said, leaning back in his chair. “Let’s just say my way is less boring.”

Emma glanced up from the notebook, her eyes narrowing slightly at Matthew’s interruption. “Matthew, this isn’t the time for theatrics. Alexandria is trying to catch up on her work.”

Matthew waved off Emma’s comment with a casual flick of his hand. “I’m just offering some alternative methods. No harm in that, right?”

Alexandria sighed and turned back to Ms. Frost. “Forget it. I’ll figure it out myself.”

Emma shook her head slightly, a hint of amusement in her eyes. “Alright, Alexandria. If you need any more help, let me know.”

As Alexandria walked back to her desk, she shot a glance at Matthew, who had taken out a notebook and was scribbling something down. She tried to ignore him but couldn’t help but feel a bit annoyed by his persistent presence.

Matthew watched her with a mischievous glint in his eye. “So, what’s your deal? You usually this grumpy?”

Alexandria’s glare was icy. “I’m not grumpy. I just don’t like people who think they’re funny.”

Matthew’s smile widened. “Fair enough. But you know, I think we could get along just fine if you’d give me a chance.”

She scoffed and shook her head, focusing on her work. “I doubt it.”

Matthew didn’t seem fazed. Instead, he leaned back in his chair and continued to watch her with an amused expression. The rest of the class proceeded in a somewhat awkward silence, punctuated only by the occasional remark from Matthew, who seemed intent on breaking through Alexandria’s reserve.

When the bell finally rang, signaling the end of the class, Alexandria quickly packed up her things and made a beeline for the door. She wanted to avoid any more unnecessary interaction with the new student. However, Matthew was right behind her, his footsteps echoing as he walked alongside her.

“So, where you headed?” Matthew asked, trying to sound casual.

Alexandria kept her eyes ahead, not bothering to look at him. “None of your business.”

Matthew chuckled. “Alright, alright. I get it. You’re not a fan of small talk.” Alexandria stayed quiet.

As they reached the hallway, Matthew made a show of dramatically looking around. “Well, since you’re not interested in chatting, I guess I’ll just have to explore this place on my own.”

“Fine by me,” Alexandria replied, quickening her pace. She could hear Matthew’s laughter fading behind her, but she didn’t turn around.

She entered Ororo’s classroom for English, Jean and Scott already in their seats at the table next to her. Alexandria sat down as did another person next to her.

“You’ve got to be kidding me.” She grumbled, seeing Matthew sitting next to her. Curse this classroom for having a table that seats two.

Jean and Scott shared a glance at Alexandria who glared at Matthew. “I wasn’t lying, you know. You are quite pretty.” he said.

She raised an eyebrow, “why would I care about that? And why do you keep following me?”

Matthew raised two hands, “hey, we share the same class. It’s not my fault.”

Alexandria rolled her eyes and took out her notebook, determined to focus on the lesson and ignore the persistent new student beside her. Matthew seemed unfazed by her cold demeanor, his grin widening as he settled into his seat.

“Hey,” he said casually, leaning slightly towards her. “What’s your name? You seem to know everybody around here, except for me.”

“Alexandria,” she replied curtly, not bothering to offer any additional information.

Matthew’s eyes lit up with a playful glint. “Nice to meet you, Alexandria. So, what’s the deal with this place? I hear it’s full of interesting people.”

Alexandria didn’t respond. She kept her attention fixed on the front of the classroom where Ororo was setting up for the English lesson. Despite her best efforts to ignore him, she could feel Matthew’s gaze occasionally drifting towards her.

Jean, who was seated next to Scott across the table, observed the interaction with mild amusement. She leaned towards Scott and whispered, “Looks like Matthew’s trying to make a new friend.”

Scott nodded, watching as Matthew continued his attempts to engage Alexandria. “He’s persistent, I’ll give him that.”

Ororo finally began the lesson, drawing Alexandria’s attention away from the distraction beside her. As she listened to the discussion, she could feel Matthew’s occasional glances, though she chose to ignore them.

When the class ended, Alexandria packed up her things with quick, efficient movements. She was determined not to give Matthew the satisfaction of seeing her ruffled. Just as she was about to leave, she felt a hand on her arm.

“Wait up,” Matthew said, his tone light and friendly. “I was thinking of grabbing a snack. Want to join?”

“No, thank you,” Alexandria said firmly, shaking off his hand. “I’ve got other plans.” She saw Kitty waving a hand at the lunch line, Jean and Scott behind her.

“Oof. Rough for me then. Catch you later.”

Alexandria rolled her eyes, though she was glad he had finally left her side.

During lunch, as she joined Kitty, Jean, and Scott at their usual table, the conversation inevitably shifted to the new student.

“Did you see how persistent he was?” Kitty asked, her voice laced with amusement. “Matthew’s not giving up anytime soon.”

Jean laughed softly. “He’s definitely got a lot of energy. But I guess that’s his way of making friends.”

Scott nodded, his expression thoughtful. “He’s a bit much, but maybe he’s just trying to find his place here.”

Alexandria took a bite of her sandwich, trying to ignore the conversation. “As long as he doesn’t keep bothering me, he can do whatever he wants.”

Kitty glanced at Alexandria with a sympathetic smile. “Give him a chance. It’s not easy being the new kid.”

“I’m not here to make any more friends,” Alexandria replied bluntly.

Scott held his hand to his chest, “you hear that? We’re her friends.”

Jean laughed softly, nudging Kitty. “Looks like Scott’s taken it personally.”

Kitty grinned. “I’m sure he’s just glad Alexandria’s starting to open up. It’s been a tough road for her.”

Alexandria rolled her eyes, but a faint smile tugged at her lips. “I’m just trying to get through my day without more complications.”

Scott leaned in, pretending to be offended. “Complications? We’re just here to help. No ulterior motives.”

Jean shook her head, smiling at Alexandria. “Scott’s right. We’re your friends. And we’ll be here whether you like it or not.”

As lunch continued, the conversation drifted to other topics. Alexandria was grateful for the change, focusing on her food and the comfortable company of her friends.

Meanwhile, Matthew had taken a seat at a different table, but he kept glancing over at Alexandria. He was still intrigued by her cold demeanor and was determined to break through her defenses.

After lunch, her and Scott made their way to US history. They sat in their usual seats towards the front half of the class when she noticed Matthew sitting down in the seat next to her.

“That’s Jubilee’s seat.” She said, looking through the textbook. Logan had ended up teaching her what she missed through his own life experiences. Which ended up with her calling him ‘old’ repeatedly.

Jubilee sat down in front of Alexandria, turning around to face her, “it’s a-okay with me.” She winked at Alexandria before facing forwards.

She turned to face Scott, who was once again on her left and he just smiled. “Do you need help catching up?”

Alexandria shook her head, “no, Logan caught me up.”

Scott raised an eyebrow, “surprising.”

She shrugged in response as Matthew leaned closer to her, “well, then. Maybe I could use some catching up.”

Alexandria turned to face Matthew, “you’ll find out in a minute.”

Matthew let out a dramatic sigh, leaning back in his chair with an exaggerated air of defeat. “Fine. Leave me to perish by landmines.”

Alexandria, trying to suppress a smile, returned her attention to the history textbook in front of her. “I’m sure you’ll manage,” she said, her tone as deadpan as ever.

Matthew chuckled softly, seemingly undeterred. “You know, with an attitude like that, you’re really making me question whether I’ve chosen the right seat.”

Jubilee, sitting in front of Alexandria, turned around with a grin. “Don’t worry, Matt. Alexandria’s just a bit grumpy when it comes to new people.”

Matthew raised an eyebrow, looking at Alexandria. “Grumpy, huh? You know, I’m pretty good at dealing with grumpy people. Got a lot of practice back home.”

Alexandria shot him a sideways glance. “Good for you. But I’m not interested in having a chat.”

Matthew’s grin only widened. “You say that now. But give it time. I’ve got a feeling we’ll be getting along just fine.”

She wasn’t sure how this new classmate of hers could keep a grin on his face at all times and not be deterred by her clear disinterest in him.

It was almost impressive, but mostly annoying.

Logan glanced at Alexandria and then at Matthew, noting the persistent grin on the latter’s face. With a curt nod, he began discussing the complexities of early American history, his tone clearly signaling that he expected the students to pay attention. Alexandria hoped that Matthew might finally take the hint and focus on the lesson.

Yet, Matthew leaned closer, his voice barely audible over the lesson. “So, how did you end up here? I mean, besides the whole mutant thing.”

Alexandria didn’t look up from her textbook, keeping her tone clipped. “Why does it matter?”

Matthew shrugged, still grinning. “Just curious. You seem to have a lot of history. Thought I’d ask.”

Jubilee, sitting in front of Alexandria, glanced over her shoulder with a smirk. “Matt, you’re really laying it on thick, aren’t you?”

Matthew’s grin didn’t falter. “Guilty as charged. But hey, I’ve got a reputation to uphold.”

Logan’s gaze flicked to Matthew, a hint of irritation in his eyes. “Matthew, you’re here to learn, not to disrupt the class.”

Matthew straightened up, his playful expression fading slightly. “Right, sorry. Just trying to make the class a bit more interesting.”

Logan gave him a hard look before returning to the lesson. “Stick to the material, or you’ll find yourself on the wrong side of my desk.”

As the class continued, Alexandria found herself trying to focus on Logan’s lecture. Despite her best efforts, she could feel Matthew’s occasional glances. His presence was a persistent distraction, but she refused to let him get under her skin.

When the bell rang, signaling the end of the period, Alexandria was quick to pack up her things. She shot a quick look at Matthew, who was still absorbed in his notes. With a hasty goodbye to Scott and Jubilee, she headed out the door, hoping to escape Matthew’s relentless pursuit.

Matthew caught up with her in the hallway. “Hey, don’t run off so fast. I was thinking of checking out the Danger Room later. Interested?”

Alexandria turned to face him, her expression a mixture of frustration and curiosity. “I’ve got other plans.”

Matthew’s eyes lit up with mischief. “Oh, come on. It’s not every day you get to see the Danger Room. And besides, it might be fun to have some company.”

Alexandria sighed, her patience wearing thin. “I don’t do ‘fun’ with strangers.”

Matthew raised his hands in mock surrender. “Fair enough. I’ll stop bugging you. For now.”

She nodded curtly and turned towards the common room. As she walked, she could hear Matthew’s footsteps behind her, but she chose to ignore them.

As she walked past the kitchen, she noticed Logan walking into the room. She followed as he glanced over at her, pulling out a bottle of beer and a juice box.

She wanted to tell him she’s not a child, and therefore doesn’t want a juice box, but it was apple juice, so she took it.

“You sure you didn’t want to go to the Danger Room? You could’ve kicked his ass.” Logan said, opening the bottle.

Alexandria shrugged and took a sip of her juice, “thought you didn’t want me doing anything strenuous.”

Logan snorted. “I’m surprised you listened to me.”

“I can listen sometimes.” She responded. “I’ve been going to bed at 11 like you asked.”

Logan took a swig from his beer and then gave Alexandria a sideways glance. “For 2 days. I doubt it’ll last a week.”

Alexandria rolled her eyes, leaning against the counter. “Wanna bet?”

Logan took another swig of his beer, smirking as he set it down on the counter. “You’re on. I’ll give you a week before you slip back into your old habits. No way you’ll keep up the bedtime routine for long.”

Alexandria raised an eyebrow. “And what’s the wager?”

Logan thought for a moment, then grinned. “If you can keep it up for a full week, I’ll teach you how to ride.”

Her eyes lit up. They had been for a few more motorcycle rides in the past month, but when she asked if he could teach her, he said ‘in your dreams.’ Logan’s offer now was a rare chance she wasn’t about to pass up.

“You really mean it?” Alexandria asked, her voice betraying her excitement despite her effort to sound nonchalant.

Logan’s smirk widened. “You think I’m gonna back down now? You want to learn, you gotta follow the rules.”

Alexandria took another sip of her apple juice, trying to keep her expression neutral. “I’ll keep the bedtime routine for a week. You can count on it.”

Logan chuckled, clearly amused. “Alright, but don’t think it’ll be easy. And don’t forget what happens if you don’t keep it up for a week.”

She raised an eyebrow, “okay. Then what’s my punishment?”

Logan took another swig from his beer, setting it down on the counter with a clunk. He crossed his arms and gave Alexandria a thoughtful look. “If you don’t keep up the bedtime routine for a week, you’ll have to help me grade papers for a week.”

She groaned, when she was on bedrest and out of the medbay she was bored out of her mind and went to Logan’s office for company. He ended up tasking her with grading papers. She did help, for an hour, then said it was torture and went back to her room.

“Yeah, I remember how much you enjoyed grading those papers,” Logan said, his tone dripping with sarcasm. He leaned back against the counter, smirking at her. “But hey, if you want to learn to ride, you’ll have to earn it.”

Alexandria crossed her arms, giving him a challenging look with a hint of a smile. “Fine. I’ll keep the bedtime routine. But don’t think I’m gonna make it easy for you.”

Logan chuckled, shaking his head. “Wouldn’t expect anything less. And remember, if you slip up, you’re stuck with me and a mountain of papers.”

“I’ll manage,” Alexandria said, taking a final sip of her juice before heading out of the kitchen. “See you later.”

As Alexandria walked down the hallway, she could hear Matthew’s footsteps echoing behind her. She sighed, bracing herself for another round of unwanted conversation.

He stepped beside her, following her to the common area. She kept quiet, and so did he, which was surprising. Once she spotted Kitty, Jean, and Jubilee she turned to face Matthew and looked almost slightly horrified.

“What is wrong with your face?” she asked.

“You mean my smile?”

Alexandria narrowed her eyes, “yes.”

Matthew's smile didn't waver as he tilted his head slightly. "Oh, you mean this?" He gestured to his beaming grin. "Just my usual face. It’s a lot of work keeping it this way, you know?"

Alexandria studied him for a moment, a mix of curiosity and irritation in her eyes. “It’s… unnerving. Stop it.”

“Why would I? Seems to work for you, gorgeous.”

“What does that mean?” She gritted out.

Matthew's grin widened, seemingly unfazed by Alexandria's glare. "It means I'm just being me," he said, his voice casual and light.

Alexandria’s eyes narrowed further, her patience wearing thin. “Well then, maybe you should try being less… whatever you are.”

Matthew's grin didn't falter at Alexandria’s comment. He tilted his head, clearly amused by her irritation. “You know, you’re not the first person to find my smile unnerving. I’m just trying to be friendly.”

“Friendly isn’t the issue. It’s the way you’re constantly… smiling,” Alexandria replied, trying to keep her tone steady despite her frustration.

Matthew chuckled. “I guess you could say it’s my default setting. Besides, if you think I’m unnerving now, you should’ve seen me before I perfected this smile.”

“I’m sure you had other… charms,” Alexandria said, her sarcasm thinly veiled.

“Yeah, but this smile? It’s hard to beat,” Matthew said, still smiling. “Plus, I’ve always had a thing for Ukrainians.”

“I’m Russian, idiot.” Alexandria fired back.

His smile somehow grew wider, unnerving her even further. “Oh, even better.”

Alexandria's irritation was palpable as she glared at Matthew. “I’m glad you think so,” she said tersely, trying to keep her voice steady. “Maybe you should take a break from that grin.”

Matthew chuckled, his eyes dancing with amusement. “I’d love to, but it’s kind of my thing. Plus, it’s not every day I get to talk to someone who’s so… passionate about their dislike for smiles.”

“I’m not ‘passionate’ about anything,” Alexandria snapped. “I just find it… disconcerting.”

“Disconcerting,” Matthew repeated, nodding as if considering the term. “That’s a new one. But hey, if that’s how you feel, then I guess I’m doing something right.”

They had reached the common area, and Alexandria’s friends were scattered around, chatting and lounging. Kitty, Jean, and Jubilee looked up as Alexandria approached, their expressions ranging from curiosity to amusement. Alexandria barely registered them, her focus solely on Matthew and his persistent grin.

Jubilee leaned over to Kitty, whispering something that made both of them stifle laughs. Jean caught Alexandria’s eye and gave a sympathetic smile, clearly understanding her struggle with Matthew’s unending cheerfulness.

“Do you ever stop smiling?” Alexandria demanded, crossing her arms.

Matthew shook his head. “Not really. It’s like a reflex. But enough about me. How’s your day been so far?”

She glared at him, clearly fed up. “It’s been fine, thanks for asking. And since you’re so interested, how about you go find someone else to bother?”

Matthew’s grin softened into a more genuine, if still amused, smile. “Alright, alright. I’ll give you some space. But just so you know, I’m not going anywhere. I’ll be around.”

As he walked away, Alexandria felt a mix of relief and frustration. She turned to her friends, who were now watching her with varying degrees of curiosity and sympathy.

“Is it just me, or does he never stop?” Kitty asked, tilting her head.

“It’s not just you,” Alexandria replied, rubbing her temples. “He’s relentless.”

Jean nodded. “Matthew can be like that. But don’t let him get to you too much. He’s actually a good guy once you get to know him.”

“I’ll take your word for it,” Alexandria said, though her tone suggested she had doubts. “For now, I’m just glad he’s giving me a break.”

Jubilee grinned. “You know, it’s kind of impressive how you manage to keep him at arm’s length. I don’t think many people can handle his… enthusiasm.”

Alexandria sighed. “I’m not sure I’m handling it. I’m just trying to get through the day without losing my patience.”

Kitty put a reassuring hand on Alexandria’s shoulder. “You’re doing fine. Just remember, he’s not trying to make things harder for you. He genuinely likes being friendly.”

“Great,” Alexandria said dryly. “I’ll try to remember that when I see him next.”

---

It was Friday now, which meant she only had to last 5 more days to learn how to ride a motorcycle. She was determined to win the bet, mostly because she did not want to help Logan grade papers. Kogda rak na gore svistnet. When pigs fly.

She had tried to listen to her friend’s advice, to be nicer to Matthew, but his constant smiles and niceness were almost too sweet. She wondered if cotton candy would even melt in his mouth.

She spotted Kitty, Jean, and Scott gathered on the couch, chatting and laughing. Alexandria made her way over to them, her mood slightly improved by their familiar faces.

“Hey, Alexandria,” Jean greeted with a smile. “How’s it going?”

“Fine,” Alexandria replied, plopping down on the couch beside Scott. “Just trying to keep my promise to Logan.”

Scott raised an eyebrow. “Still keeping up with that bedtime routine?”

“For now,” Alexandria said, leaning back and letting out a small sigh. “I’m determined not to help him grade papers.”

Kitty grinned. “I think Logan’s going to be surprised if you actually make it through the week.”

“Me too,” Alexandria admitted. “But I’m not backing down.”

Jean’s eyes twinkled with amusement. “You know, you don’t have to be so hard on yourself. It’s okay to have a little fun.”

“I will have fun when Logan teaches me how to ride his motorcycle.” She responded.

"Which we can all agree is completely out of the ordinary for Logan. He hates anyone touching it. He once got mad at me for looking at it," Scott said, shaking his head in disbelief.

Alexandria smirked slightly. "Maybe he's getting soft in his old age."

"Or maybe he just likes you more than he likes the rest of us," Kitty suggested with a playful nudge.

"Hard to believe," Alexandria muttered, but the small smile on her lips hinted that she didn’t entirely disagree. The idea of Logan having a soft spot for her was something she still wasn’t used to, but it was becoming more apparent with each passing day.

"You’ve definitely got a way with him," Jean added. "It’s nice to see."

Alexandria glanced at Jean, trying to read the sincerity in her voice. She wasn’t sure if Jean was just being polite or if she genuinely believed that Logan was warming up to her. Either way, it was a strange concept—someone like Logan caring about someone like her.

"Don’t make it weird," Alexandria said, leaning back into the couch, though she couldn’t help but feel a tiny bit of warmth at their words.

"We’re not making it weird, you are," Kitty teased, earning a light jab from Alexandria.

"Touché," Alexandria replied, her tone lightening. It was moments like these, surrounded by friends who didn’t judge her, that made her slowly start to see the X-Mansion as more of a home. Even if she would never admit it out loud.

"So, what’s the plan for tonight?" Scott asked, shifting the conversation away from Logan and onto safer topics.

"Just trying to survive another day without losing my mind," Alexandria said, half-joking. "And maybe, just maybe, get some peace and quiet."

"Good luck with that," Kitty said with a grin. "This place is never quiet."

"No kidding," Alexandria agreed, her thoughts briefly drifting to Matthew and his incessant smiling. Peace and quiet seemed like a luxury she could only dream of lately.

"Well, if you ever need an escape, you know where to find us," Jean offered.

"Thanks," Alexandria said, and she meant it. Despite her usual reluctance to rely on others, it was nice knowing that her friends were there for her, no matter what.

---

Matthew wasn’t one to back down from a challenge. Sure, his older sister told him that he shouldn’t see anybody as a ‘challenge’ but it was more than that.

Dad said it was love at first sight when he met mom, and mom said that she disliked him at the beginning.

He just knew when he saw her. There wasn’t any explanation, yes, she was pretty, but it was the way she held herself, the way she interacted with others.

His first two days at the school were orientation and a tour, so he would see students milling about their days, going to classes, reading, doing homework, and talking to friends.

Matthew had seen Scott get upset when there weren’t any cookies left at the lunch line, and without talking Alexandria had placed the one she had on his tray. She, without speaking, handed Jean a rubber band for her hair when she was writing.

Talking to her was different, difficult. Jubilee, who had been the one to give him a tour, said that Alexandria was rescued from HYDRA 8 months ago, and around 2 months ago had been recaptured and rescued, but almost died from a slit throat.

So, he understands she’s probably not open to strangers.

But fuck, she was driving him crazy. The small smiles she’d give to everyone but him, the chuckles and laughs she’d quietly do around others, the sweet smell of strawberries every time she walked by him.

Friday night, he called his sister, who was only 3 years older than him and in her first year of college.

“Hey, Matt!” Jenna’s voice came through the phone, cheerful and full of energy as always. “What’s up? How’s the new school?”

Matthew let out a sigh, flopping onto his bed. “It’s… complicated.”

Jenna chuckled on the other end. “Complicated? That doesn’t sound like you. What’s going on?”

He hesitated for a moment, trying to find the right words. “There’s this girl…”

“Ooh, a girl!” Jenna teased. “Tell me everything.”

“It’s not like that,” Matthew protested, though he knew his sister wouldn’t believe him. “She’s just… different. I’ve never met anyone like her.”

Jenna’s tone softened. “Different how?”

“She’s been through a lot,” Matthew explained, his voice serious. “She’s not like the other girls here. She’s distant, guarded, and it’s like she has this wall around her that no one can get through.”

“Sounds like she’s been hurt before,” Jenna said thoughtfully. “You said she’s been through a lot. What happened?”

Matthew hesitated again, unsure of how much he should reveal. “She was rescued from HYDRA about eight months ago. She was kidnapped again two months ago and nearly died. I guess that kind of trauma doesn’t just go away.”

There was a long pause on the other end of the line before Jenna spoke again. “Wow, Matt. That’s… intense. No wonder she’s distant.”

“Yeah,” Matthew agreed. “But the thing is, I really like her. There’s something about her that I can’t get out of my head. I know she’s not interested in me, and she probably finds me annoying, but I can’t help it. I want to get to know her, to help her somehow.”

Jenna was silent for a moment, then she sighed. “Matt, it sounds like you’ve got it bad. But you have to be careful. She’s been through a lot, and she might not be ready for someone to get close to her. You can’t push her.”

“I know,” Matthew said, frustration evident in his voice. “But it’s hard. I’ve tried being friendly, but it just seems to make things worse. She doesn’t want anything to do with me.”

“Then maybe you need to back off a bit,” Jenna suggested gently. “Give her some space. If she wants to get to know you, she’ll come around. But you can’t force it.”

Matthew sighed, knowing she was right. “I just… I don’t want to give up on her.”

“Then don’t,” Jenna said firmly. “But be patient. She needs to know that you’re there for her, but she also needs to feel safe. If you really like her, you’ll find a way to show her that without overwhelming her.”

“Yeah,” Matthew said softly. “Thanks, Jenna. You always know what to say.”

“That’s what sisters are for,” Jenna replied with a smile in her voice. “And hey, if it works out, you’ll have one heck of a love story to tell.”

Matthew couldn’t help but laugh at that. “I’ll keep you posted.”

“Please do,” Jenna said. “And remember, take it one step at a time. She’ll come around when she’s ready.”

After hanging up, Matthew felt a little better, though the frustration of his situation still lingered. He knew Jenna was right—he needed to be patient, to give Alexandria the space she needed. But that didn’t make it any easier.

The next morning, Matthew decided to follow his sister’s advice. He would still be around, still make his presence known, but he would try to tone down the enthusiasm that seemed to annoy Alexandria so much. Maybe, just maybe, she would start to see him in a different light.

---

The weekend passed without much incident. Alexandria stuck to her bedtime routine, much to Logan’s surprise, and the two of them continued their banter about the bet. She was determined to make it through the week, and the thought of finally learning to ride a motorcycle kept her motivated.

Matthew, on the other hand, kept his distance. He still smiled when he saw Alexandria, but he didn’t push for conversation. He gave her space, just as Jenna had advised, and hoped that she would notice the change.

Tuesday rolled around, and the school was abuzz with the usual activity. Alexandria found herself in the common area again, surrounded by her friends. They were chatting about classes, upcoming events, and the usual gossip, but her mind kept drifting back to Matthew. She hadn’t seen much of him over the weekend, and his absence was oddly noticeable.

“Earth to Alexandria,” Kitty’s voice broke through her thoughts, and she blinked, realizing that everyone was looking at her.

“What?” Alexandria asked, slightly defensive.

“You okay?” Jean asked, her tone concerned. “You seem a little distracted.”

Alexandria shrugged, trying to play it off. “Just thinking.”

“About Matthew?” Jubilee asked, a knowing grin on her face.

Alexandria rolled her eyes. “No.”

“Uh-huh, sure,” Kitty said, her grin matching Jubilee’s. “You’re totally not thinking about him.”

“I’m not,” Alexandria insisted, though her friends’ teasing smiles made her wonder if they saw through her denial.

“Whatever you say,” Scott chimed in, giving her a playful nudge. “But just so you know, he’s been asking about you.”

That caught Alexandria’s attention. “He has?”

Scott nodded. “Yeah, he mentioned something about wanting to make sure he wasn’t bothering you. Seemed like he was trying to give you some space.”

Alexandria frowned, a mix of confusion and curiosity in her expression. “Why?”

“Maybe because he likes you?” Kitty suggested, her tone light but with a hint of seriousness.

Alexandria scoffed, though the idea made her heart beat a little faster. “He doesn’t even know me.”

“Maybe not,” Jean said, her voice thoughtful. “But he’s trying to. And from what I’ve seen, he’s not a bad guy.”

“I didn’t say he was,” Alexandria replied, her tone defensive. “I just don’t get why he’s so… persistent.”

“Because he likes you,” Jubilee repeated, as if it were the most obvious thing in the world. “And let’s be real, who wouldn’t?”

Alexandria rolled her eyes again, but this time there was a slight smile tugging at her lips. “You’re all ridiculous.”

“Maybe,” Kitty said with a shrug. “But we’re not wrong.”

After the group separated, Alexandria headed to Hank’s classroom. She knew that Matthew had chemistry at a later time than she did, so she waited outside the room until class was over.

Five minutes later, students trickled out, Matthew being the last one out. His eyes widened as he saw Alexandria standing against the wall.

“You’re avoiding me,” she stated.

He snorted, “no.”

“Yeah.”

Matthew started to walk off, Alexandria following. It did strike her that the roles were reversed now but she paid no mind to that. “You said I was annoying, so I backed off.”

“But… that doesn’t mean I want you to stop.”

Matthew paused mid-step, turning slightly to look at Alexandria, his brow furrowed in confusion. "Wait, what?"

Alexandria huffed, crossing her arms over her chest. "I said, that doesn’t mean I want you to stop."

Matthew glanced sideways at Alexandria, a mix of surprise and curiosity on his face. "So, you actually want me to keep bothering you?"

Alexandria gave him a pointed look. "Not exactly. I just... don’t want you to think I don’t want to talk to you. You’ve been giving me space, and I guess I miss the, I don’t know, annoyance?"

Matthew chuckled softly, clearly pleased by her confession. "Annoyance, huh? Well, I can do that."

"Good," Alexandria said with a slight smirk, trying to ignore the way her heart was racing.

Matthew’s eyes twinkled with amusement. “You’re really something, you know that?”

“Yeah, well, you’re not exactly the easiest person to ignore either,” Alexandria replied, her tone light but with a hint of seriousness.

Matthew smirked, clearly pleased by her response. “I’ll take that as a compliment.”

Alexandria rolled her eyes, though a small smile tugged at the corners of her lips. “You shouldn’t. Just don’t get used to it.”

“Fair enough,” Matthew said, catching up to her as they walked down the hallway together. “So, if I’m not supposed to stop bothering you, what exactly am I supposed to do?”

“I don’t know,” Alexandria admitted, her shoulders lifting in a shrug. “Maybe just be… less annoying while still being persistent.”

Matthew laughed, a genuine, amused sound that made Alexandria’s heart skip a beat. “I think I can manage that. I mean, if you’re saying you miss me, I guess I’m doing something right.”

“Don’t get a big head,” Alexandria warned, though her tone was more teasing than serious.

They reached the entrance to the common area, and Matthew hesitated for a moment, looking at Alexandria with a thoughtful expression. “You know, if you ever want to talk or hang out or whatever, just let me know. I’m around.”

Alexandria met his gaze, her expression softening slightly. “Thanks. I’ll keep that in mind.”

Matthew nodded, then waved as he headed off toward the stairs. “See you around, Alexandria.”

She watched him go, feeling a mix of emotions she wasn’t entirely sure how to process. Part of her wanted to keep up her usual defensive wall, but another part of her was intrigued by the genuine effort Matthew was putting into breaking through it. Shaking her head to clear her thoughts, Alexandria headed to her room.

She needed to finish some homework, take a shower, and go to bed. Today was the last day of the bet, and she wasn’t about to lose now.

---

Wednesday arrived, and by the time history class came up Alexandria stood in front of Logan’s desk, with a smile on her face.

“Looks like you owe me a lesson.” She said, holding her textbook against her chest.

“Yeah, yeah, yeah.” He grumbled, though he was impressed that she stuck to it. Every night he’d pass by her door at 11 and she would be asleep. “Now, stop carrying around that textbook, sweetheart. Your ribs aren’t fully healed yet.”

Alexandria rolled her eyes, “fine. But only until you tell me when your gonna hold up your end.”

Logan leaned back in his chair, “Saturday, 9 in the morning.”

She pouted, “Saturday? That’s three days!”

Logan raised an eyebrow at Alexandria’s pout. “You think three days is a lot? Wait ‘til you see how long it takes to get you on a bike. It’s not just about showing you how to ride; it’s about making sure you’re ready.”

Alexandria crossed her arms tighter around her textbook, her pout deepening. “You’re so dramatic.”

“Yeah, well, you’re not exactly the easiest student,” Logan shot back, his lips twitching into a smirk. “You’ve got a lot to learn, and I want to make sure you’re up to it.”

“Fine, fine,” Alexandria said, rolling her eyes but her annoyance fading into a smile. “I’ll wait.”

Logan gave her a reassuring nod, then waved her off as the bell rang, signaling the start of class. "Now, get to your seat before you make me look bad in front of the students."

She shot him a playful glare before heading to her desk. And of course, Matthew was sitting at the desk to her right.

“Look at you, gorgeous. You’re smiling.” He said, wearing a smile of her own.

Alexandria sat down, “no, I’m not.”

Matthew tsked, “well, now it’s gone. Probably shouldn’t have said anything to see it longer.”

Alexandria shot him a sideways glance, trying to suppress the smile that had nearly escaped. “Don’t flatter yourself, Roman. I was just—”

“Just what?” Matthew leaned in a bit closer, his grin widening. “It looked like you were about to have a good day.”

Alexandria rolled her eyes, but there was a hint of a smile tugging at the corners of her mouth. “Yeah, well, you’re not exactly helping.”

Matthew raised his hands in mock surrender. “Alright, alright. I’ll behave. For now.”

“Good,” Alexandria said, trying to sound more serious than she felt. “Keep it up, and I might start thinking you’re actually tolerable.”

Matthew’s eyes sparkled with amusement. “High praise coming from you. I’ll take it.”

The class began, and the two of them fell into the rhythm of the lesson. Alexandria found herself more aware of Matthew’s presence than usual, though she tried to focus on Logan’s lecture. She could feel his eyes on her occasionally, and it made her both irritated and intrigued.

---

Saturday came along and Alexandria made it outside to the front where Logan stood smoking a cigar and leaning against the motorcycle. She was 5 minutes early as she walked down the steps and stood in front of him, a small grin on her face.

Logan took a long drag from his cigar, watching as Alexandria approached with a slight grin on her face. She was early, which didn’t surprise him. When she wanted something, she was all in—stubborn, determined, just like him.

“Look who’s eager,” Logan remarked, exhaling smoke as he flicked the ash off the cigar. “Could’ve sworn you’d show up late just to mess with me.”

Alexandria stopped in front of him, crossing her arms as she looked over the motorcycle with a mix of excitement and nerves. “You’re the one who said nine. I’m just making sure you don’t back out.”

Logan grunted, pushing off the bike and straightening up. “Ain’t in the habit of backing outta deals, kid. You know that.”

She rolled her eyes at the ‘kid’ remark but didn’t argue. Logan had a way of making things sound final, and she wasn’t about to challenge him on something she wanted so badly.

“So, where do we start?” Alexandria asked, a hint of anticipation in her voice.

Logan studied her for a moment, then nodded toward the bike. “First, you’re gonna learn the basics. Get on and feel it out. It ain’t like ridin’ with me—you gotta control this thing yourself.”

Alexandria took a deep breath and stepped closer to the bike. She’d been on it before, but always behind Logan, never in control. There was a thrill to that, sure, but this... this was different. This was hers.

Logan watched as she swung her leg over the bike, settling onto the seat. He could see the tension in her shoulders, the way she gripped the handlebars a little too tightly. “Relax,” he said, his tone softer than usual. “You’re not gonna go anywhere yet.”

“Easy for you to say,” Alexandria muttered, though she loosened her grip slightly, trying to heed his advice.

Logan stepped up beside her, his hand resting on the handlebar next to hers. “You gotta trust the bike. Feel it. It’s an extension of you—if you’re too tense, you’re gonna fight it instead of workin’ with it.”

Alexandria glanced at him, then nodded, taking another deep breath. She tried to focus on the weight of the bike, the feel of the engine beneath her. Logan was right; she needed to relax.

“Good,” Logan said, noticing the change in her posture. “Now, lemme show you the basics.”

He walked her through the controls, explaining the clutch, throttle, brakes, and gears. Alexandria listened intently, absorbing every word. Logan wasn’t the type to give long-winded explanations, and she appreciated that. He kept things straightforward, simple—just what she needed.

“Alright,” Logan said after a while, stepping back to give her some space. “Now, give it a shot. Start her up.”

Alexandria’s heart pounded in her chest as she reached for the ignition. She’d seen Logan do it a dozen times, but now, it was her turn. She twisted the key, and the engine roared to life beneath her. The vibration of the bike sent a thrill through her, and for a moment, she couldn’t help but smile.

“Not bad,” Logan said, his eyes narrowing in approval. “Now, let’s see if you can keep it steady.”

He guided her through the process of easing the clutch and giving it a little gas, and before she knew it, the bike was moving—slowly, but moving. Alexandria’s grin widened as she felt the wind against her face, the freedom of it all.

Logan jogged alongside her, his hand hovering near the handlebar in case she needed help. “Easy now. Don’t get ahead of yourself.”

“I got it,” Alexandria called back, her voice full of excitement.

“Yeah, you do,” Logan replied, a rare smile tugging at his lips.

They spent the next hour going over the basics, with Logan giving pointers and corrections as needed. Alexandria was a quick learner, though Logan expected nothing less. She had the focus and determination to master this, just like she did with everything else.

After a while, Logan had her stop and get off the bike. He could see the pride in her eyes, the satisfaction of having conquered something new.

“You did good,” Logan said, nodding at the bike. “But this ain’t over yet. We’ll keep practicing until you’re ready to hit the road.”

Alexandria looked at him, her eyes shining with gratitude. “Thanks, Logan. I mean it.”

He grunted, looking away as he took another drag from his cigar. “Yeah, yeah. Don’t go gettin’ all mushy on me now. We got more work to do.”

She laughed, a sound that was still rare but becoming more common these days. It was a laugh that meant she was starting to find her place, to feel like she belonged.

“Alright,” Alexandria said, standing next to the bike. “So, when’s the next lesson?”

Logan gave her a sideways glance, a smirk playing on his lips. “How’s tomorrow sound?”

“Perfect,” she replied without hesitation.

“Good,” Logan said, putting out his cigar. “Now go on, get outta here. You’ve earned a break.”

Alexandria nodded, giving the bike one last look before heading back toward the mansion. As she walked away, Logan watched her, a mix of pride and something else he couldn’t quite place. She was a tough kid, no doubt about it, but there was more to her than that. There was a fire in her, a determination that reminded him a little too much of himself.

you can probably guess where this is going... i can't help it i'm a sucker for a good love story

[imekitty]

Star Error XV

Part 1, Part 2, Part 3, Part 4, Part 5, Part 6, Part 7, Part 8, Part 9, Part 10, Part 11, Part 12, Part 13, Part 14

Star investigates Danny’s glowing freckles.

-----

When the final bell rang, Fenton was quick to leave the classroom with Foley and Manson. Star watched him leave before turning to her own friends.

"So when did Fenton come back to class?" she asked.

"Huh?" Kwan cocked his head.

"When did he come back to class when?" asked Dash. "Today?"

"Yes, today!" snapped Star. "He went out to use the restroom, remember? And then the ghost alarm went off."

Paulina sighed glumly. "The ghost didn't even attack us. No chance for the ghost boy to come save me."

"So when did Fenton come back?" asked Star again. "Was it like right before I came back? Or a few minutes? Longer?"

"I don't know," said Dash. "I didn't even see him come back in."

"How did you not see him?" whined Star.

"Look, I don't pay attention to Fenton every second of the day," said Dash. "I'm not in love with him like you are."

Star blushed. "I am not—"

"He's all you ever talk about now," said Dash with a sneer.

The A-Listers began to gather their things and stand. Star watched them, still baffled.

"You really don't remember when he came back in?" she asked, rising to her feet and scooping her things into her arms.

"He was just kind of here again," said Kwan.

"Yes, the ghost alarm went off and Lancer started his lecture again and then…" Paulina puckered her lips in thought. "I remember you coming back in. That's all."

"Fenton must've come back in when the ghost alarm was going off and we were all too distracted to notice," said Kwan with a shrug.

"Come on, I'm starving," said Dash, leading the way out of the classroom. "I gotta eat something before practice."

"Yeah, don't want you passing out on the field again," laughed Kwan.

Dash shoved him. "Shut up, I didn't pass out. I just tripped."

"And didn't get up for a whole minute."

"It was not that long!"

Star trailed behind the other A-Listers as they entered the hallway, their chattering getting lost in the cacophony of all the other voices as students scurried past, laughing and shouting and gossiping. As she opened her locker and took out her backpack, she could see Fenton down the hall at his own locker. He caught her eye and smiled.

Star narrowed her eyes as she studied him hard. Fenton's attention was quickly pulled away by his friends, and then he shut his locker and disappeared around a corner.

Fenton and Phantom were at least somewhat close to each other, that much she knew for sure now.

But how close?

In the tutoring room, she took a seat and looked over the list of students signed up for math help that afternoon. But as she tried to concentrate on helping students with quadratic formulas and coordinate planes and differential equations, she found that her mind just kept turning back to Fenton and Phantom.

What do you really think about Danny Fenton?

She had thought it was a strange question for Phantom to ask in the moment, but it seemed even more peculiar now. Was it some kind of wingman routine? Did Fenton ask Phantom to ask her what she thought of him? But how did Fenton know that she and Phantom were going to meet? Was it really just a coincidence?

It had to be, yes. Because it made much more sense than the alternative.

Fenton and Phantom…

They couldn't possibly be the same person. That made absolutely no sense.

"Did I do it right?" asked Gina, the girl Star was tutoring.

"Huh? Oh, yeah." Star blinked and looked over the problem Gina was working on, then quickly shook her head. "Oh, wait, no, no. This is all wrong. Sorry, I'm a little distracted…"

She took an eraser and rubbed out Gina's mistakes, almost all of her penciled calculations. Gina looked at the mostly empty space and sighed.

"You had the right idea," said Star. "Just, uh, just try again."

Star tapped the empty space a couple times with her manicured index finger. Gina sighed again and started a new attempt to solve the problem. Star tried to focus on the movements of Gina's pencil, the numbers being written, but her mind would not stop wandering.

"So, um…" Star hesitated, clearing her throat to stall a moment. "Just out of curiosity, um… What would you do if you thought the ghost kid was a student at our school?"

Gina looked up from her paper, her eyes becoming quite round. "The ghost kid? As in Danny Phantom?" She grinned, somewhat dreamily. "I'd definitely try to get his autograph. And maybe his phone number. I mean, if he has a phone number." She scrunched her mouth. "Do ghosts have cell phones?"

Star glanced down at her phone in her lap as she thought about the times she had seen Fenton using his own phone.

"Maybe," she murmured.

…

The next day, Star watched Fenton closely, keeping her distance as she tried to covertly follow him as much as she could.

But of course, all of the A-Listers noticed.

"You're really taking this breakup hard, aren't you?" asked Dash with a laugh.

"We did not—we were never—" Star groaned and gave up as she followed the group to their next class.

"When you and I broke up, it was easy," said Kwan. "You must really like Fenton to be this hung up on him."

"I am not—"

"I think he might still like you, too," said Paulina. "He's looking this way!"

Star blushed and turned her face just a little to find Fenton indeed looking at her. Their eyes met for a small moment before Manson took Fenton by the arm and pulled him away down the hall.

"You really are out of his league, Star," said Kwan. "But hey, it's your life."

Star was about to turn her face away from Fenton when she saw him stumbling as he tried to keep up with Manson's pace. He clutched his right side, hobbling a few steps before righting himself and walking straight.

Star blinked several times, trying to remember Phantom's wound from the day before. Which side was it?

She remembered the library, the monster ghost baring its claws on one hand and taking a swipe at Phantom. The monster's claws tore through Phantom's suit and there was ectoplasm bleeding out, oozing between Phantom's gloved fingers as he pressed a hand to his side.

His right side.

Star looked over at Fenton again, who was still walking straight but she saw him clutching his right side, yes, definitely his right side.

It's your life, Kwan had said.

But at this moment, Star was far more interested in Fenton's life.

Part 16

[anonymoustriangle174]

Favorite things I’ve done in math class* from a certified nerd

Basic addition. I’m so good at 1 + 2 bro

Basic pre-algebra, like 6x - 2 = 10, because it’s so easy

Factoring quadratic equations to find their zeros

Factoring radicals to simplify them

Rational functions. They’re a pain but I enjoy how wacky asymptotes are

No one kill me for this one but I loved trig proofs

Really easy derivatives you can find with the power rule

* I have only taken through precalc so far

[schoolmykidsonline]

Mastering Polynomials in Class 10: A Student’s Guide to Success

Polynomials play a crucial role in CBSE Class 10 Mathematics, forming the foundation for algebraic concepts. This guide simplifies key topics like factorization, zeros of polynomials, and quadratic equations. With step-by-step explanations, practice problems, and expert tips, students can strengthen their understanding and boost their exam performance.

To learn more, visit :

[vasanthasworld]

WBBSE Solutions For Class 10 Maths Chapter 1 Quadratic Equations In One Variable Exercise 1.4

[armybrat061]

Tips for CSAT Success

The Civil Services Aptitude Test (CSAT), part of the UPSC Civil Services Preliminary Exam, often serves as a make-or-break paper for aspirants. While it is qualifying in nature (33% or 66/200 marks required), its diverse syllabus covering quantitative aptitude, logical reasoning, and English comprehension demands focused preparation. With proper strategy and consistent practice, you can master CSAT and tackle it with confidence. This blog provides practical tips and techniques for excelling in CSAT, while also addressing how to prepare English comprehension for both CSAT and CDS.

How to Crack CSAT with a Strong Foundation in Quant and Logical Reasoning

CSAT’s quantitative aptitude and logical reasoning sections test your problem-solving skills, speed, and accuracy. Here’s a step-by-step approach to mastering these topics:

1. Build a Strong Foundation

Understand the Basics: Start with NCERT Mathematics (Class 6–10) to solidify your understanding of basic concepts like percentages, ratios, averages, and probability.

Key Topics to Focus On:

Arithmetic: Percentages, ratios, averages, profit and loss.

Algebra: Linear equations, simple quadratic equations.

Geometry: Basic properties of triangles, circles, and quadrilaterals.

Data Interpretation: Tables, bar graphs, pie charts.

Logical Reasoning: Coding-decoding, syllogisms, seating arrangements, puzzles.

2. Practice with Purpose

Solve previous years’ CSAT question papers to understand the pattern and difficulty level.

Use standard reference books like R.S. Aggarwal’s Quantitative Aptitude and A Modern Approach to Verbal and Non-Verbal Reasoning.

Focus on short tricks for arithmetic and reasoning problems to save time during the exam.

3. Step-by-Step Techniques for Problem Solving

Read the Question Carefully: Ensure you understand what is being asked before attempting the problem.

Eliminate Options: In MCQs, use elimination techniques to narrow down the choices.

Work Backwards: For some problems, start with the answer options and check which one fits best.

4. Test and Improve Speed and Accuracy

Set Timers: Practice solving 10-15 questions within a fixed time frame to improve speed.

Analyze Mistakes: Identify errors in calculations or interpretations and learn from them.

Focus on Weak Areas: Dedicate extra time to topics you find difficult.

Time Management Tips for CSAT: Finish in 2 Hours!

Effective time management is crucial to completing the CSAT paper, especially when balancing quantitative, reasoning, and comprehension sections. Here are some strategies:

1. Categorize the Questions

Easy: Attempt these first to secure quick marks.

Moderate: Attempt next, spending limited time per question.

Difficult: Attempt only if you have extra time, and avoid wasting time on them.

2. Allocate Time Wisely

Divide your 2 hours as follows:

Quantitative Aptitude: 45 minutes.

Logical Reasoning: 45 minutes.

English Comprehension: 30 minutes.

Stick to this time division to ensure you don’t spend too long on any section.

3. Use the 3-Round Strategy

Round 1: Solve easy questions from all sections.

Round 2: Attempt moderate questions.

Round 3: Tackle difficult or time-consuming questions if time permits.

4. Skip the Stuck Questions

If a question takes more than 2-3 minutes, skip it and move on. You can return to it later if time allows.

5. Stay Calm Under Pressure

Avoid rushing or second-guessing yourself unnecessarily. Take deep breaths to reset focus if you feel overwhelmed.

English Comprehension for CSAT and CDS: A Combined Approach

The English comprehension section in both CSAT and CDS exams evaluates your ability to understand, interpret, and analyze written text. Preparing for both exams together can save time and effort.

1. Build a Strong Vocabulary

Daily Word Practice: Learn 5-10 new words daily from newspapers like The Hindu or Indian Express.

Use Flashcards: Write words and their meanings on flashcards for quick revision.

Reference Books: Use Word Power Made Easy by Norman Lewis to enhance vocabulary systematically.

2. Strengthen Grammar Skills

Focus on basic grammar rules, sentence correction, and error spotting.

Practice grammar exercises from books like Wren and Martin’s High School English Grammar and Composition.

3. Develop Comprehension Skills

Read Diverse Material: Read editorials, essays, and reports to improve reading speed and comprehension.

Summarize Passages: After reading a passage, write a short summary in your own words to practice extracting key ideas.

Practice Previous Year Papers: Solve CSAT and CDS comprehension questions to get familiar with the pattern.

4. Solve Regular Mock Tests

Attempt sectional mock tests for comprehension to assess your speed and accuracy.

For CSAT, focus on interpretation and analysis, while for CDS, emphasize vocabulary-based questions like synonyms and antonyms.

Combined Routine for CSAT and CDS English Preparation

ActivityTime AllocationFrequencyReading a Newspaper30 minutesDailyVocabulary Practice20 minutesDailyComprehension Practice1 hour3-4 times a weekGrammar Exercises30 minutes2-3 times a weekMock Test (Full-Length)2 hoursWeekly

Cracking CSAT and excelling in its aptitude and comprehension sections require strategic preparation, consistent practice, and effective time management. Focus on building a strong foundation in quantitative aptitude and logical reasoning, while honing your English comprehension skills for both CSAT and CDS. With proper planning and a disciplined approach, you can master these areas and boost your confidence to clear the exams.

Remember, practice and perseverance are the keys to success!

[speedywonderlandtrash]

Class 9 Math Annual Exam with Model 3

Class 9 Math Annual Exam with Model 3

  Class 9 math exam preparation guide,last minute math exam tips for Class 9,Class 9 math practice questions and solutions,model 3 math prep for Class 9 exam,effective study techniques for Class 9 math exam Math Time: 3                              Hours Class: 9                     Total Marks: 100 Section A: Objective (25 Marks) Multiple Choice Questions: (Write the correct answer on the answer sheet) 1 × 15 = 15 1. a, ar, ar², ar³ is which type of sequence? (a) Geometric (b) Arithmetic (c) Infinite (d) Constant 2. If 7x + 2, 5x + 12, 2x - 1 form an arithmetic progression, what is the value of x? (a) -23 (b) 23 (c) ±23 (d) 21 3. What is the 15th term of the sequence 4 + 8 + 16 + ........? (a) 65536 (b) 131072 (c) 146384 (d) 32768 4. logb n , what is the argument? (a) k (b) n (c) b (d) log 5. What is the base of lnx? (a) e (b) 10 (c) x (d) y 6. What is logbAx? (a) x (b) A (c) b (d) xlogbA 7. If the sum and difference of the digits of a two-digit number are 10 and 4 respectively, what is the number? (a) 47 (b) 27 (c) 37 (d) 57 8. Which point is on the x-axis? (a) (2, 0) (b) (-3, 5) (c) (0, 3) (d) (-2, -2) 9. For θ = 45° - i. sin2 θ + tan2 θ = ii. sin2 θ + cos2 θ = iii. 1 - sin2 θ = Which of the following is correct? (a) i and ii (b) i and iii (c) ii and iii (d) i, ii, and iii 10. Based on the following information, answer questions 10 and 11: In right-angled triangle ABC, ∠C = β, ∠B = α, AB = 7, BC = 25 cm, and AC = 24 cm. What is the length of the side opposite to angle β? (a) 7

(b) 24 (c) 25 (d) 6 11. For which of the following angles is the length of the adjacent side 24 cm? (a) α (b) β (c) α + β (d) α - β 12. In the first quadrant, how are all trigonometric ratios? (a) Positive (b) Negative (c) 0 (d) Even 13. What is cos 150°? (a) (b) (c) - (d) - 14. How many types of data are there? (a) 2 (b) 3 (c) 4 (d) 5 Class 9 Math Annual Exam with Model 2 15. If ∑fi|xi - Mo| = 216.92 and n = 20, what is the mean deviation calculated from the median? (a) 8×85 (approximately) (b) 10×85 (approximately) (c) 9×85 (approximately) (d) 7×85 (approximately) 16. Write the condition for a, b, c to be in a geometric progression. 17. What is the sum of the first n natural numbers? 18. What is log₂ 16? 19. Write the formula for logb () 20. What is the discriminant of the equation ax² + bx + c = 0? 21. What is the meaning of the word 'Metron'? 22. In the second quadrant, what is the sign of cos θ? 23. What is cot(90° - θ)? 24. What is the range typically represented by? 25. What is the relationship between the mean deviation M.D and the range R for two unequal data sets? 1. Answer the following questions: 2 × 13 = 26 (a) If the third term and fifth term of an arithmetic progression are -12 and 26, respectively, find the first term and common difference. (b) For the series 2 + 4 + 6 + 8 + ..., if the sum of the first n terms is 2550, find the value of n. (c) Find the general term of the arithmetic progression 5, 12, 19, 26, ... (d) If log₅ x = 3, what is the value of x? (e) At a 10% compound interest rate, in how many years will the principal triple? (f) Solve the system of equations using substitution method: 2x + 3y = 32 11y - 9x = 3 (g) Solve the equation 3x² - 2x - 1 = 0 using the quadratic formula. (h) If 12 cot θ = 7, find the value of cos θ. (i) From a point 15 meters away from the base of a tower, the angle of elevation to the top of the tower is 30°. Find the height of the tower. (j) Convert radians to degrees. (k) For the angle θ = ∠XOP in standard position, find the trigonometric ratios for the point A(-4, -3) on the terminal arm. (l) Find the range of the data set: 7, 5, 12, -5, 0, 10. (m) Find the cumulative frequency distribution for the given data: x 60 61 62 63 64 65 66 67 f 2 0 15 30 25 12 11 5 Answer the following descriptive questions (based on the visual context):                                       7 × 7 = 49 2. Consider the following two geometric progressions: (i) x + 1, x + 5, x + 10, ....... (ii) 2 - 4 + 8 - 16 + .... (a) Find the value of x in the first geometric progression x + 1, x + 5, x + 10, ....... (3 marks) (b) Which term of the second geometric progression 2 - 4 + 8 - 16 + ..... is equal to 256? (4 marks) 3. In Arup's school hall, there are 30 rows of benches. The first, second, and third rows have seats in the following quantities: (k + 12), (3k + 10), and (7k + 4) respectively. (a) Find the value of k if the number of seats forms an arithmetic progression. (2 marks) (b) How many seats are there in the last row? (2 marks) (c) Find the total number of seats in the hall. (3 marks) 4. Given that: A = B = , and C = (a) If A = 128, find the value of p. (3 marks) (b) Prove that B ÷ C = . (4 marks) 5. An earthquake is felt in two locations in Bangladesh, Sylhet and Chittagong, on the same day. The magnitude of the earthquake in Sylhet is 6.5, and the earthquake in Chittagong is 17 times stronger. The magnitude of the earthquake in India, which is located near Bangladesh, is 7.1. (a) Find the magnitude of the earthquake in Chittagong. (3 marks) (b) Compare the intensity of the earthquakes in Sylhet and India, and determine which place has a higher risk. (4 marks) 6. Setu's mother bought 25 ducklings and 30 chicks for 5000 taka. If she had bought 20 ducklings and 40 chicks at the same rate, she would have spent 500 taka less. (a) What is the cost of one duckling and one chick? (4 marks) (b) After some time, if each duck is sold for 250 taka and each chicken for 160 taka, what will be her total profit? (3 marks) 7. Samiya bought 4 pens and 2 notebooks for 100 taka from a shop. Lamiya bought 2 pens and 3 notebooks for 110 taka from the same shop at the same price. (a) Form the system of equations from the given information and determine its nature. (3 marks) (b) Find the price of each notebook and pen. (4 marks) 8. Roni and Tahmid were walking along the riverbank when they saw the top of a 100-meter tall tree on the opposite bank. The angle of elevation to the top of the tree from their position was 60°. Later, Tahmid moved back a little and saw that the angle of elevation from his new position was 45°. (a) Calculate the distance from Roni and Tahmid to the opposite bank of the river. (3 marks) (b) How much further back did Tahmid move from Roni? (4 marks) 9. A car travels from Dhaka to Khulna. The rear wheel of the car rotates 12 times per second, and the radius of the wheel is 0.5 meters. The distance from Dhaka to Khulna subtends an angle of 2° at the center of the Earth. (a) How far will the car travel in one full rotation of the wheel? (2 marks) (b) Calculate the speed of the car. (2 marks) (c) How long will it take the car to reach Khulna from Dhaka? (3 marks) 10. The frequency distribution table for the mathematics marks of 125 students of Class 9 is given below: Marks Obtained 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 Number of Students 10 17 30 40 20 8 (a) What is the average mark of the students in Class 9 in mathematics? (3 marks) (b) Using the assumed mean method or direct method, calculate the deviation from the mean. (4 marks) 11. The following is the frequency distribution table for the number of absences of 40 students in a class last month: Absence Days 1 - 4 5 - 8 9 - 12 13 - 16 17 - 20 Number of Students 5 11 7 2 1 (a) What is the range of the first 12 prime numbers? (2 marks) (b) How many students attended the class every day last month? (2 marks) (c) Calculate the range from the frequency distribution table. (3 marks) Read the full article

[tanya382sharma]

Step-by-Step NCERT Class 10 Maths Solutions for Success

Master NCERT Solutions for Class 10 Maths with precise NCERT solutions tailored to CBSE guidelines. With easy-to-understand explanations and solved examples, this resource covers all key concepts like Trigonometry, Quadratic Equations, and Statistics. Ideal for students aiming for excellent results in board exams, this is your key to success.

[books-for-exams]

Mathematics Basic vs. Standard: How to Approach Both Sample Papers

The CBSE Class 10 Mathematics exam is offered at two levels: Basic and Standard. The Standard level is for students aiming to pursue Mathematics in higher classes, while the Basic level is intended for students who do not plan to take up Mathematics after Class 10. Each level requires a different approach in terms of preparation, especially when solving sample papers. Here’s how you can approach both effectively:

1. Understand the Exam Pattern

Both Mathematics Basic sample papers and Mathematics Standard sample papers follow a similar format but differ in difficulty. The question types include multiple-choice questions (MCQs), short-answer questions, and long-answer questions. The Basic paper is designed to test fundamental concepts and problem-solving skills, while the Standard paper includes more complex and advanced problems​. It’s important to be familiar with the specific pattern of the paper you are attempting, as it will help you plan your strategy accordingly.

2. Focus on Key Topics

For both levels, topics like Quadratic Equations, Geometry, and Statistics are common. However, the complexity of the problems will vary. For Basic Mathematics, focus on building strong foundational concepts and solving straightforward problems. For Standard Mathematics, focus on solving higher-order thinking questions, such as challenging problems from Algebra, Trigonometry, and Calculus​.

Read More - Aim for the Stars: Expert Tips on how to Score 95 in Class 10 CBSE Maths Exam

3. Time Management

Practice solving sample papers within the stipulated time of three hours to develop speed and accuracy. For the Basic paper, time management might be simpler as the questions tend to be more direct, but for the Standard paper, allocate more time to questions that require deeper thought and calculations​.

4. Practice Problem-Solving Techniques

For Basic Mathematics, practice basic problem-solving techniques like step-by-step calculations and neat presentations. For Standard Mathematics, focus on understanding complex problem-solving strategies, such as breaking down difficult questions into smaller parts and practicing algebraic proofs​.

5. Review Your Mistakes

After solving sample papers, review the solutions using the marking scheme. Focus on areas where you made errors, and revisit those concepts for a better understanding. This applies to both Basic and Standard levels, but for the Standard level, extra practice on difficult topics like Trigonometry and Geometry is crucial​.

By regularly practicing with sample papers tailored to your chosen level (Basic or Standard), and focusing on key topics, you can improve your performance and feel confident going into the exam.

[techtrends-today]

How to Sign Up for the Maths Olympiad - Enrolling Made Easy

The Indian National Mathematical Olympiad (INMO) is a top-notch math competition for high schoolers in India, running since 1989. Hosted by the Homi Bhabha Centre for Science Education, it's a big deal for students after the tenth grade. Starting with the Regional Mathematical Olympiad (RMO) and leading up to the International Mathematical Olympiad (IMO), each stage gets students one step closer to global fame. Ready to flex those brain muscles of your child?

Steps of the Maths Olympiad

Want to ace the Maths Olympiad? Here's the scoop:

Process 1: IOQM (Indian Olympiad Qualifier in Mathematics)

Kick-off with a 3-hour quiz featuring 30 multiple-choice questions. Just fill in your answers on an OMR sheet—easy, right?

Process 2: INMO (Indian National Mathematics Olympiad)

This stage features six challenging questions over a four-hour period. Solutions must be written on a response script and submitted with rough sheets at the end of the test.

Process 3: OCSC (Orientation Cum Selection Camp)

Top performers from the INMO, approximately 35 students, are invited to the International Mathematical Olympiad Training Camp (IMOTC). This camp prepares students for the IMO.

Process 4: PDT (Pre-Departure Training Camp)

Six top-performing students from IMOTC receive intense training for 8-10 days. Top-notch gurus from all corners of the country whip these students into shape for the IMO showdown.

Step 5: The Big Math Showdown (International Mathematics Olympiad)

In this last stage, teams from more than 100 countries face off. Each team has up to six brainy students, plus their leaders and mentors.

Eligibility

To take the INMO exam, students need to ace the first level. Simple as that!

Typically, around 30 students from classes 8 through 12, including five female candidates fulfilling the girls’ quota, are shortlisted. Special provisions exist for students from KV schools outside India who can bypass the selection process, although 12th-grade girls in KVs are not eligible for the girls' quota.

Syllabus

The INMO syllabus includes advanced topics such as:

Arithmetic of Integers

Geometry

Quadratic Equations & Expressions

Trigonometry

Coordinate Geometry

Systems of Linear Equations

Permutations & Combinations

Inequalities

Elementary Combinatorics

Probability Theory

Number Theory

Finite Series & Complex Numbers

Elementary Graph Theory

Polynomial Factorization

How to Enroll in the Maths Olympiad

Through Schools

Students can access the IMO Registration Form via their schools. Registered schools receive a prospectus and registration paperwork. Schools not registered can request a prospectus via the SOF website.

Through Mentorship Programs

Enrolling through a mentorship program like Sri Chaitanya’s Early Champions Advantage can provide significant benefits. Their carefully crafted curriculum, built on years of research, tackles the unique hurdles students face in Olympiads like a pro.

Conclusion

Joining the Maths Olympiad isn’t just about winning trophies; it’s about getting really good at math and solving tricky problems. Taking that first step can be scary, but with the right help, students can shine. Need a boost? Check out programs that give students a leg up in every part of the Maths Olympiad journey. Start your journey today and take your mathematical skills to new heights!

[elearningcnp]

Benefits of Learning: Digital Classes for 9th & 10th Math and Science

We all know that 9th and 10th class math and science could be difficult. It is generally the first important year of examinations for students, which can be difficult. Parents frequently believe that taking their children to extra classes would help them perform better. While this may be true, it might be difficult for students.

That’s the reason why online courses come in useful. They work similarly to smart classrooms, allowing students to view and engage with the material they are studying. Instead of simply remembering information, people may observe how things function. Learning becomes as simple as installing an app!

Now, students in 9th and 10th grade do not have worries about their classes. Using digital class apps allows them to follow along with their math and science classes. It helps them understand every detail and increases their problem-solving abilities.

Students can also access lessons from other educational platforms when taking classes digitally. Therefore, you are free to explore different syllabi while you are studying the current one. These days, learning is more about truly understanding things than taking exams.

Also, look at the most recent 9th and 10th class syllabuses, which may be helpful!

Class 9 Math's: Unit-wise

Unit 1-Real numbers

Unit 2-Polynomials and Factorization

Unit 3-The Elements of Geometry

Unit 4-Lines and Angles

Unit 5-Co-Ordinate Geometry

Unit 6-Linear Equations in Two Variables

Unit 7-Triangles

Unit 8-Quadrilaterals

Unit 9-Statistics

Unit 10-Surface Areas and Volumes

Unit 11-Areas

Unit 12-Circles

Unit 13-Geometrical Constructions

Unit 14-Probability

Unit 15-Proofs in Mathematics

Class 9 Physics Syllabus: Chapter-wise

Chapter 1-Matter Around Us

Chapter 2-Motion

Chapter 3-Laws of Motion

Chapter 4-Refraction of Light at Plane Surfaces

Chapter 5-Gravitation

Chapter 6-Is Matter Pure?

Chapter 7-Atoms and Molecules

Chapter 8-Floating Bodies

Chapter 9-What is inside the Atom?

Chapter 10-Work and Energy

Chapter 11-Heat

Chapter 12-Sound

Class 9 Biology Syllabus: Chapter-wise

Chapter 1-Cell its structure and functions

Chapter 2-Plant tissues

Chapter 3-Animal tissues

Chapter 4-Plasma membrane

Chapter 5-Diversity in Living Organism

Chapter 6-Sense Organs – I

Chapter 7-Sense Organs – II

Chapter 8-Animal behavior

Chapter 9-Challenges in Improving Agricultural Products

Chapter 10-Adaptations in Different Ecosystems

Chapter 11-Soil pollution

Chapter 12-Bio geochemical cycles

The Telangana State Board (TS) students who are looking for the Class 9 Physics, Biology Syllabus can find it in the syllabus mentioned above. moreover, review the AP Class 9th syllabus also.

Class 10 Math and Science Syllabus:

The Telangana State Board Class 10 math's syllabus is given below; class tenth With the use of this TS 10th Class Math's Textbooks Syllabus, students may prepare for their final exams and have an effective understanding of the subject matter, therefore achieving the highest marks possible.

10th Class Math's: Unit Wise

Unit 1-Real numbers

Unit 2-Sets

Unit 3-Polynomials

Unit 4-Pair of Linear Equations in Two Variables

Unit 5-Quadratic Equations

Unit 6-Progressions

Unit 7-Coordinate Geometry

Unit 8-Similar Triangles

Unit 9-Tangents and Secants to a Circle

Unit 10-Mensuration

Unit 11-Trigonometry

Unit 12-Applications of Trigonometry

Unit 13-Probability

Unit 14-Statistics

Class 10 Physics Syllabus: Chapter Wise

Chapter 1-Reflection of Light by Different Surfaces

Chapter 2-Chemical Reactions and Equations

Chapter 3-Acids, Bases and Salts

Chapter 4-Refraction of Light at Curved Surfaces

Chapter 5-Human Eye and Colorful World

Chapter 6-Structure of Atom

Chapter 7-Classification of Elements – Periodic Table

Chapter 8-Chemical Bonding

Chapter 9-Electric Current

Chapter 10-Electromagnetism

Chapter 11-Principles of Metallurgy

Chapter 12-Carbon and Compounds

10th Class Biology Syllabus: Chapter-Wise

Chapter 1-Nutrition

Chapter 2-Respiration

Chapter 3-Transportation

Chapter 4-Excretion

Chapter 5-Coordination

Chapter 6-Reproduction

Chapter 7-Coordination in Life Processes

Chapter 8-Heredity

Chapter 9-Our Environment

Chapter 10-Natural Resources

The TS Board Class 10 Math's & Science topic syllabus is available above, complete with chapter-by-chapter details. Students can go through the most recent math and science syllabus to be aware of all the key subjects they need to study for exams.

Additionally, visit the below pages. We hope you found these pages useful:

Telangana Board Syllabus Related Links

Telangana Board Class 6 Syllabus

Telangana Board Class 7 Syllabus

Telangana Board Class 8 Syllabus

Telangana Board Class 9 Syllabus

[futurz-2023]

"Class 10 Maths NCERT Solutions: Simplifying Complex Concepts for You"

Are you a student in Class 10 looking for comprehensive and reliable study materials to excel in your academics?

Look no further! In this article, we will provide you with top-notch NCERT Class 10 solutions for Maths, Science, English, and Social Science. 

These solutions are designed to help you understand complex concepts, practice effectively, and ace your exams. So, let's embark on this learning journey together!

Why NCERT Class 10 Solutions are Essential?

Before we delve into the subject-specific solutions, it's essential to understand the significance of NCERT Class 10 solutions. The National Council of Educational Research and Training (NCERT) is renowned for developing high-quality educational materials that align with the latest curriculum guidelines. These solutions act as a bridge between students and the prescribed textbooks, offering step-by-step explanations and solutions to the questions presented in the NCERT books.

By relying on NCERT Class 10 solutions, you gain access to:

Conceptual Clarity: Each solution is meticulously crafted to ensure that you grasp the fundamental concepts with ease.

Accuracy: The solutions are accurate, eliminating any chances of errors and misconceptions in your understanding.

Exam Preparedness: Practicing with these solutions enhances your problem-solving skills, giving you the confidence to tackle any exam question.

Time Management: As you practice, you'll learn to manage time efficiently, a crucial skill for scoring well in exams.

Now, let's explore the subject-wise solutions.

Mathematics

Mathematics is often considered a challenging subject, but with the right guidance and practice, it can become your stronghold. Our NCERT solutions for Class 10 Maths cover all the chapters and exercises, presenting you with detailed explanations for every problem.

From topics like algebra, trigonometry, and geometry to coordinate geometry and statistics, our solutions leave no stone unturned. Whether you're struggling with the Pythagoras theorem or finding it hard to grasp quadratic equations, our step-by-step solutions will make it crystal clear.

[studyupindia]

NCERT Class 11 Math [ English Medium ]

(All books are 100℅ original and as per the latest NCERT syllabus. Prices includes Rs. 32 per book mandatory binding charges.)

Chapter 1: Sets Chapter 2: Relations and Functions Chapter 3: Trigonometric Functions Chapter 4: Principle of Mathematical Induction Chapter 5: Complex Numbers and Quadratic Equations Chapter 6: Linear Inequalities Chapter 7: Permutations and Combinations Chapter 8: Binomial Theorem Chapter 9: Sequences and Series Chapter 10: Straight Lines Chapter 11: Conic Sections Chapter 12: Introduction to Three Dimensional Geometry Chapter 13: Limits and Derivatives Chapter 14: Mathematical Reasoning Chapter 15: Statistics Chapter 16: Probability

As Studyupindia provides products with quick delivery, easy exchanges from trusted sellers .

[vasanthasworld]

WBBSE Solutions For Class 10 Maths Chapter 1 Quadratic Equations In One Variable Exercise 1.3

[mastermentorr]

Is learning only formulas of QUADRATIC EQUATIONS enough?

Remember solving the questions from polynomials? No? Here’s an example so that you can understand Quadratic equations.

2x2+3x+1

Still not sure about the concepts from polynomials? Take a test of polynomials in class 9 on the SeekoG app so that you can save time by understanding Quadratic equations better and faster.

Now that you are confident about polynomials, do you know that it is very much related to Quadratic equations? But how?

Here’s how – Try Equating a quadratic expression to a constant and this is how you get a quadratic equation. For example- the above-given expression has been converted to an equation.

2x2+3x+1= 0

Other than this do you know the points that are quite important in these equations?

Let’s take   px2+qx+r=0   as an example.

Here are some key points that need to be remembered by all of you:

p and q are the coefficients of x

In a quadratic equation, the value of p should not be equal to 0.

The roots of a quadratic equation are the only value of x that could satisfy the equation.

Not many points to remember. This chapter is quite easy, right? Actually, this is just a small drop from the sea of quadratic equations. You now know about roots but what about the value of roots? How will you find it? Is there some specific formula for finding these?

Well, there is a formula to find the roots of the equation. But other than the method that involves a formula, there is another method as well. So, what are these methods? Now this should be answered by you. Take the test & use the methods you know to be ready for your class 10 Maths Quadratic Equations!

It's great to know about quadratic equations but won't it be excellent to know about the Cartesian plane? Click to read more.