RPSC 2nd Grade Teacher cheat sheet

Mathematics: area of a triangle = ½ × base × height; Heron's formula √[s(s−a)(s−b)(s−c)] with s = (a+b+c)/2 applies when only three sides are known.

Mathematics: for a quadratic ax² + bx + c = 0, sum of roots = −b/a, product = c/a; discriminant D = b² − 4ac gives D > 0 two real roots, D = 0 equal roots, D < 0 no real roots.

Science: Newton's three laws - inertia (F = 0 ⇒ no change in motion), F = ma, and equal-opposite action-reaction pairs acting on different bodies.

Science: photosynthesis equation 6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂ in the presence of chlorophyll and sunlight; occurs in chloroplasts.

Social Science: Rajasthan's Aravalli range separates the arid west (Thar) from the relatively wet east; it is among the world's oldest fold mountains.

Languages: Hindi has 11 vowels (स्वर), 33 consonants (व्यंजन); संधि types include स्वर, व्यंजन, विसर्ग; समास types include तत्पुरुष, द्वंद्व, बहुव्रीहि, द्विगु, कर्मधारय, अव्ययीभाव.

English: the passive voice is formed with be + past participle; only transitive verbs (verbs taking an object) can be passivised.

English: a clause contains a subject and a finite verb; a phrase does not. Restrictive (defining) relative clauses take no comma; non-restrictive clauses take commas.

Bloom's revised taxonomy order: Remember → Understand → Apply → Analyse → Evaluate → Create; lower three are LOTS, upper three HOTS.

Formative assessment is ongoing and diagnostic (feedback during learning); summative assessment is terminal and certifying (judges achievement at the end).

Criterion-referenced tests compare a learner to fixed learning criteria; norm-referenced tests compare a learner to a peer group.

Reliability = consistency of scores across occasions/items; validity = the test measures what it claims to measure; a test can be reliable without being valid.

Constructivist teaching (Piaget, Vygotsky) starts from learners' prior knowledge and uses hands-on activity, questioning and scaffolding rather than pure lecture.

Herbart's five steps: preparation, presentation, association, generalisation, application.

Project method (Kilpatrick) and problem-solving method both centre on learner-driven inquiry; the Dalton Plan (Parkhurst) uses subject-based assignment contracts.

Item difficulty index p = proportion answering correctly; item discrimination compares high scorers vs low scorers on that item.

Rajasthan was formed in stages: Matsya Union (18 March 1948), Rajasthan Union (25 March 1948), Greater Rajasthan (30 March 1949); 1 November 1956 is celebrated as Rajasthan Day after the States Reorganisation.

Capital: Jaipur; the state has 33 districts; the state animal is the chinkara, state bird the godawan (great Indian bustard), state tree the khejri.

Forts: Chittorgarh, Kumbhalgarh, Ranthambore, Amber, Jaisalmer, Gagron - six hill forts of Rajasthan are on the UNESCO World Heritage list.

Fairs: Pushkar Camel Fair (Kartik Purnima), Gangaur (Jaipur, spring), Teej (Jaipur, monsoon), Desert Festival (Jaisalmer).

Dances: Ghoomar (Bhil origin, performed by women), Kalbeliya (Sapera community, UNESCO intangible heritage), Kathputli (puppetry), Bhavai, Terah Tali.

Geography: Thar Desert covers roughly two-thirds of the state; the Chambal is the only perennial river; the Indira Gandhi Canal draws from the Harike barrage on the Sutlej-Beas.

Polity: the Rajasthan Legislative Assembly has 200 seats; the state sends 10 members to the Lok Sabha and 10 to the Rajya Sabha.

Economy: Rajasthan is India's leading producer of zinc and lead (Zawar, Rampura Agucha), and a major producer of mustard, bajra and coriander; Sambhar is a major salt lake.

Piaget's stages: sensorimotor (0–2), preoperational (2–7), concrete operational (7–11), formal operational (11+); object permanence emerges in the sensorimotor stage.

Vygotsky's Zone of Proximal Development = the gap between what a learner can do alone and what they can do with guidance; scaffolding bridges it.

Kohlberg's moral stages: pre-conventional (punishment/obedience, self-interest), conventional (good boy, law and order), post-conventional (social contract, universal ethics).

Erikson's psychosocial stages include trust vs mistrust (infancy), autonomy vs shame (1–3), initiative vs guilt (3–6), industry vs inferiority (6–12).

Classical conditioning (Pavlov): neutral stimulus paired with unconditioned stimulus becomes a conditioned stimulus; operant conditioning (Skinner) uses reinforcement and punishment.

Maslow's hierarchy from base to apex: physiological, safety, belonging, esteem, self-actualisation.

Intelligence: Gardner's multiple intelligences include linguistic, logical-mathematical, spatial, musical, bodily-kinaesthetic, interpersonal, intrapersonal, naturalistic.

Learning disabilities: dyslexia (reading), dysgraphia (writing), dyscalculia (arithmetic), dyspraxia (motor coordination).

The Constitution was adopted on 26 November 1949 and came into force on 26 January 1950; Dr B. R. Ambedkar chaired the Drafting Committee.

Fundamental Rights are in Part III (Articles 12–35); Article 14 equality before law, Article 19 six freedoms, Article 21 right to life and personal liberty, Article 32 right to constitutional remedies.

The Preamble's key words - sovereign, socialist, secular, democratic, republic - were added/affirmed by the 42nd Amendment (1976), which also added Fundamental Duties (Article 51A).

Directive Principles are in Part IV (Articles 36–51) and are non-justiciable; Article 40 deals with panchayats, Article 44 with a uniform civil code.

The Indian Parliament: Lok Sabha (max 552 members) and Rajya Sabha (max 250); money bills can be introduced only in the Lok Sabha.

Geography: the Tropic of Cancer passes through 8 Indian states; the Western Ghats are a biodiversity hotspot; the Deccan Plateau lies between the Western and Eastern Ghats.

Economy: GDP = C + I + G + (X − M); the Reserve Bank of India regulates monetary policy; repo rate is the rate at which banks borrow from the RBI.

Science: the pH scale runs 0–14, with 7 neutral; acids below 7, bases above 7. Mitochondria are the powerhouse of the cell.

RTE Act 2009 (Right of Children to Free and Compulsory Education) covers ages 6–14, classes I–VIII; it mandates a 25% quota for disadvantaged groups in private unaided schools.

RTE pupil-teacher ratio: 1:30 at primary and 1:35 at upper primary; no detention and no board examination until class VIII under the Act.

NEP 2020: 5+3+3+4 structure replacing 10+2, target of 6% of GDP for education, mother tongue as medium in early years, and a National Mission on Foundational Literacy and Numeracy.

Rajasthan schemes: Shiksha Sambal, Rajeev Gandhi Scholarship, free bicycles for girl students, and the Swami Vivekananda Model Schools; Samagra Shiksha integrates SSA, RMSA and teacher education.

ICT: the DIKSHA platform hosts e-content and QR-coded textbooks; PM eVidya, SWAYAM and NISHTHA teacher training are central government initiatives.

Continuous and Comprehensive Evaluation (CCE) assesses scholastic and co-scholastic areas continuously; introduced under the RTE-linked examination reform.

Sarva Shiksha Abhiyan (2001) and Rashtriya Madhyamik Shiksha Abhiyan (2009) were merged into Samagra Shiksha (2018).

Mid-Day Meal scheme (now PM POSHAN) provides a hot cooked meal to children in classes I–VIII in government and aided schools.

Hindi: संज्ञा के भेद - व्यक्तिवाचक, जातिवाचक, भाववाचक; सर्वनाम के भेद - पुरुषवाचक, निजवाचक, प्रश्नवाचक, संबंधवाचक, निश्चयवाचक, अनिश्चयवाचक.

Hindi: काल के तीन भेद - वर्तमान, भूत, भविष्यत्; वाच्य के तीन भेद - कर्तृवाच्य, कर्मवाच्य, भाववाच्य.

Hindi: अलंकार - अनुप्रास (repetition of a consonant), उपमा (simile), रूपक (metaphor), यमक (repetition of a word with different meaning).

Hindi: रस के नौ भेद - श्रृंगार, हास्य, करुण, रौद्र, वीर, भयानक, बीभत्स, अद्भुत, शांत.

English: subject-verb agreement - a singular subject takes a singular verb; collective nouns may take singular or plural depending on whether the group acts as one unit.

English: reported speech shifts tense back one step (present → past) and changes pronouns and time/place words (today → that day).

English: articles - 'a' before consonant sounds, 'an' before vowel sounds (an hour, a university); 'the' for specific or unique references.

Communication: the Shannon-Weaver model has sender, encoder, message, channel, decoder, receiver, and noise; feedback closes the loop.