CTET cheat sheet

Piaget's stages: sensorimotor (0–2 years, object permanence), preoperational (2–7, egocentrism, irreversibility), concrete operational (7–11, conservation, classification, seriation), formal operational (11+, abstract and hypothetico-deductive reasoning).

Vygotsky's Zone of Proximal Development is the gap between independent performance and performance with guidance from a More Knowledgeable Other; social speech develops into private speech and then inner speech.

Kohlberg's six stages fall into three levels: preconventional (punishment-obedience, instrumental exchange), conventional (good boy/good girl, law and order), and postconventional (social contract, universal ethical principles).

Erikson's psychosocial stages: trust vs mistrust (0–1), autonomy vs shame (1–3), initiative vs guilt (3–6), industry vs inferiority (6–12), identity vs role confusion (12–18).

Intelligence theories: Spearman's general factor g, Guilford's structure of intellect, Gardner's multiple intelligences (eight intelligences), and Sternberg's triarchic theory (analytical, creative, practical).

RTE Act 2009 makes free and compulsory education a fundamental right for ages 6–14, prohibits detention and expulsion till elementary completion, reserves 25% seats for disadvantaged groups, and mandates School Management Committees.

Formative assessment occurs during teaching and provides feedback for learning; summative assessment occurs at the end of a unit or term and judges achievement against criteria.

Learning theories: Pavlov's classical conditioning, Skinner's operant conditioning, Thorndike's laws of readiness, exercise and effect, Kohler's insight learning, and Bandura's observational social learning.

Inclusive education places children with and without disabilities in the same classroom with curriculum adaptation, Individualised Education Plans, resource teachers and barrier-free access; the RPWD Act 2016 recognises 21 specified disabilities.

Language skills develop in the order listening, speaking, reading, writing; oral language normally precedes written language, and comprehension precedes production.

Chomsky's nativist view proposes an innate Language Acquisition Device and universal grammar; Skinner's behaviourist view explains language through imitation, reinforcement and association.

Reading models: bottom-up processing decodes letters and sounds to reach meaning; top-down processing uses prior knowledge and prediction; the interactive model combines both simultaneously.

Skimming is rapid reading for the gist; scanning is rapid reading for a specific detail; intensive reading analyses short texts closely; extensive reading covers large amounts of text for pleasure and fluency.

An error is a systematic deviation reflecting the learner's developing rule system and is diagnostic; a mistake is a performance slip that the learner can self-correct when attention is drawn to it.

Communicative Language Teaching organises learning around meaningful interaction, information-gap tasks and real purposes, treating fluency and accuracy as complementary rather than opposed.

NCF 2005 recommends a three-language formula, treats multilingualism as a classroom resource, and promotes language across the curriculum rather than isolated grammar drills.

Comprehension questions operate at literal (stated information), inferential (implied meaning) and evaluative (judgement and response) levels; cloze, dictation, portfolio and rubric are common language assessment tools.

Krashen's five hypotheses: acquisition-learning distinction, natural order, monitor, input (i+1), and affective filter; comprehensible input and low anxiety support second-language acquisition.

Cummins distinguishes BICS, basic interpersonal communicative skills, which develop in about two years, from CALP, cognitive academic language proficiency, which takes five to seven years.

Contrastive analysis predicts difficulty from differences between first and second language; error analysis studies actual learner errors; interlanguage is the learner's evolving rule system, and fossilisation is its permanent stabilisation.

Methods: grammar-translation uses rules and translation; the direct method avoids the first language; audio-lingual relies on drills and habit formation; communicative language teaching prioritises meaningful interaction.

Vocabulary knowledge is receptive (recognising a word in reading or listening) or productive (using it in speaking or writing); contextual guessing and morphological analysis support independent word learning.

The writing process has prewriting, drafting, revising, editing and publishing stages; revision addresses content and organisation, while editing addresses grammar, spelling and punctuation.

First-language interference can produce transfer errors in pronunciation, syntax and vocabulary; code-switching and code-mixing are normal bilingual strategies rather than evidence of language failure.

Divisibility rules: by 3 or 9, test the digit sum; by 4, test the last two digits; by 8, test the last three digits; by 11, test the alternating digit sum difference.

For two positive integers, HCF × LCM = product of the two numbers; this relation allows the fourth quantity to be found when three are known.

Simple interest = P × R × T / 100; compound amount = P(1 + R/100)^T, so compound interest = amount − principal, with interest calculated on accumulated principal.

Successive percentage changes of a% and b% give a net change of a + b + ab/100 percent; decreases are substituted as negative values.

Area formulas: triangle = ½ × base × height; parallelogram = base × height; trapezium = ½(a + b) × height; circle = πr²; perimeter of circle = 2πr.

Volume formulas: cube = a³; cuboid = l × b × h; cylinder = πr²h; the total surface area of a cuboid is 2(lb + bh + hl).

Mean = sum of observations / number of observations; median is the middle ordered value; mode is the most frequent value; range = maximum − minimum.

The interior angles of a triangle sum to 180°; an exterior angle equals the sum of the two opposite interior angles; alternate and corresponding angles are equal when lines are parallel.

Van Hiele's geometry levels are visualisation, analysis, informal deduction, formal deduction and rigour; learners at a lower level cannot reliably operate at a higher level without appropriate experiences.

EVS at the primary stage integrates science, social studies and environmental education around themes: family and friends, food, shelter, water, travel, and things we make and do.

Nutrients: carbohydrates and fats supply energy, proteins support growth and repair, vitamins and minerals protect the body, water transports materials, and roughage aids digestion.

Deficiency diseases include scurvy from lack of vitamin C, rickets from vitamin D deficiency, anaemia from iron deficiency, and night blindness from vitamin A deficiency.

The water cycle consists of evaporation, condensation, precipitation and collection; safe drinking water is obtained by boiling, filtration, chlorination or sedimentation.

Air composition by volume is about 78% nitrogen, 21% oxygen, 0.03% carbon dioxide, with argon and water vapour; respiration uses oxygen and releases carbon dioxide, while photosynthesis does the reverse.

Plant parts and functions: roots absorb water and minerals, stems transport and support, leaves make food by photosynthesis, flowers are reproductive organs, and fruits protect seeds.

Animals are classified by diet as herbivores, carnivores or omnivores; adaptations such as camouflage, migration, hibernation and specialised body parts help survival in particular habitats.

EVS pedagogy relies on observation, questioning, discovery, projects, field trips and locally available teaching-learning materials; a common misconception is that plants take ready-made food from the soil.

Piaget's stages: sensorimotor (0–2, object permanence), preoperational (2–7, egocentrism, irreversibility), concrete operational (7–11, conservation, seriation), formal operational (11+, abstract reasoning).

Vygotsky's Zone of Proximal Development is the gap between independent and guided performance; scaffolding is support from a More Knowledgeable Other that is gradually withdrawn.

Kohlberg's levels: preconventional (punishment, self-interest), conventional (social approval, law and order), postconventional (social contract, universal principles).

RTE Act 2009: free and compulsory education for ages 6–14, no detention or expulsion till elementary completion, 25% seats for disadvantaged groups, School Management Committees.

Formative assessment is assessment for learning during instruction; summative assessment is assessment of learning at the end of a term and is used for certification or reporting.

Learning theories: classical conditioning (Pavlov), operant conditioning (Skinner), trial and error with laws of readiness, exercise and effect (Thorndike), insight learning (Kohler), observational learning (Bandura).

Inclusive education accommodates children with disabilities in mainstream classrooms through curriculum adaptation, Individualised Education Plans, resource support and barrier-free access; the RPWD Act 2016 lists 21 disabilities.

The natural order of language skills is listening, speaking, reading and writing; oral competence normally precedes written competence.

Chomsky proposed an innate Language Acquisition Device and universal grammar; Skinner explained language through imitation, reinforcement and habit formation.

Reading models: bottom-up decoding, top-down prediction from prior knowledge, and interactive processing combining both; skimming targets the gist while scanning targets a specific detail.

An error is a systematic part of the learner's interlanguage and is diagnostic; a mistake is a performance slip that the learner can self-correct when attention is drawn to it.

Communicative Language Teaching uses meaningful tasks, information gaps and real purposes, treating fluency and accuracy as complementary goals.

NCF 2005 recommends the three-language formula and treats multilingualism as a resource; language is to be taught across the curriculum rather than through isolated grammar drills.

Comprehension questions are literal, inferential or evaluative; cloze tests, dictation, portfolios and rubrics are standard tools for assessing language ability.

Krashen's hypotheses: acquisition-learning distinction, natural order, monitor, input (i+1) and affective filter; comprehensible input with low anxiety supports acquisition.

Cummins distinguishes BICS, conversational fluency, which develops in about two years, from CALP, academic language proficiency, which takes five to seven years.

Contrastive analysis predicts difficulty from first-language differences; error analysis examines actual errors; interlanguage is the learner's evolving system; fossilisation is its permanent fixation.

Methods: grammar-translation uses rules and translation; the direct method avoids the first language; audio-lingual uses drills; communicative teaching prioritises interaction.

Vocabulary is receptive when recognised in listening or reading and productive when used in speaking or writing; contextual guessing and morphology support independent learning.

Writing process stages: prewriting, drafting, revising, editing and publishing; revision handles content and organisation, while editing handles grammar, spelling and punctuation.

First-language interference causes transfer errors in pronunciation, syntax and vocabulary; code-switching is a normal bilingual strategy, not evidence of language failure.

Divisibility: by 3 or 9 test the digit sum; by 4 test the last two digits; by 8 test the last three digits; by 11 test the alternating digit-sum difference.

For two positive integers, HCF × LCM = product of the numbers.

Simple interest = P × R × T / 100; compound amount = P(1 + R/100)^T; compound interest = amount − principal.

Successive percentage changes a% and b% produce a net change of a + b + ab/100 percent, with decreases entered as negative values.

Area: triangle = ½ × base × height; parallelogram = base × height; trapezium = ½(a + b) × height; circle = πr²; circumference = 2πr.

Volume: cube = a³; cuboid = l × b × h; cylinder = πr²h; total surface area of a cuboid = 2(lb + bh + hl).

Mean = sum / count; median = middle ordered value; mode = most frequent value; range = maximum − minimum.

Triangle interior angles sum to 180°; an exterior angle equals the sum of the two opposite interior angles; alternate and corresponding angles are equal for parallel lines.

Van Hiele's levels are visualisation, analysis, informal deduction, formal deduction and rigour; instruction must match the learner's current level.

EVS themes at primary level: family and friends, food, shelter, water, travel, and things we make and do; the subject integrates science, social studies and environmental education.

Carbohydrates and fats provide energy, proteins support growth and repair, vitamins and minerals protect the body, water transports materials and roughage aids digestion.

Deficiency diseases: scurvy from vitamin C lack, rickets from vitamin D lack, anaemia from iron lack, night blindness from vitamin A lack.

The water cycle comprises evaporation, condensation, precipitation and collection; water is made safe by boiling, filtration, chlorination or sedimentation.

Air is about 78% nitrogen, 21% oxygen and 0.03% carbon dioxide; respiration uses oxygen and releases carbon dioxide, while photosynthesis does the reverse.

Plant functions: roots absorb water and minerals, stems transport and support, leaves photosynthesise, flowers are reproductive organs and fruits protect seeds.

Animals are herbivores, carnivores or omnivores; adaptations such as camouflage, migration, hibernation and specialised body parts support survival in specific habitats.

EVS teaching uses observation, questioning, discovery, projects, field trips and local materials; a common misconception is that plants take ready-made food from the soil.

Piaget's four stages are sensorimotor (0–2), preoperational (2–7), concrete operational (7–11) and formal operational (11+); object permanence appears in the first and conservation in the third.

Vygotsky's ZPD is the distance between independent performance and assisted performance; scaffolding is temporary support from a More Knowledgeable Other.

Kohlberg's preconventional level judges acts by punishment and self-interest; the conventional level by social approval and law; the postconventional level by social contract and universal principles.

Erikson's early stages: trust vs mistrust (0–1), autonomy vs shame (1–3), initiative vs guilt (3–6), industry vs inferiority (6–12), identity vs role confusion (12–18).

RTE Act 2009 provides free and compulsory education for ages 6–14, bars detention and expulsion till elementary completion, and reserves 25% seats for disadvantaged groups.

Formative assessment is assessment for learning and occurs during teaching; summative assessment is assessment of learning and occurs at the end of a term.

Learning theories: classical conditioning (Pavlov), operant conditioning (Skinner), trial and error with laws of readiness, exercise and effect (Thorndike), insight (Kohler), observational learning (Bandura).

Inclusive education adapts curriculum, assessment and access for diverse learners; the RPWD Act 2016 recognises 21 specified disabilities and mandates reasonable accommodation.

Language skills develop in the order listening, speaking, reading, writing; oral language normally precedes written language.

Chomsky's nativism proposes an innate Language Acquisition Device and universal grammar; Skinner's behaviourism explains language by imitation and reinforcement.

Reading models: bottom-up decoding, top-down prediction and interactive processing; skimming is for gist and scanning is for a specific detail.

An error is a systematic deviation showing the learner's rule system; a mistake is a performance slip that can be self-corrected when noticed.

Communicative Language Teaching organises learning around meaningful interaction, information-gap tasks and real purposes, balancing fluency with accuracy.

NCF 2005 recommends the three-language formula and treats multilingualism as a resource; language learning is promoted across the curriculum.

Comprehension questions are literal, inferential or evaluative; cloze, dictation, portfolio and rubric are standard language assessment tools.

Krashen's input hypothesis states that acquisition occurs when learners understand input slightly beyond their current level, described as i+1.

Cummins's BICS develops in about two years for conversational fluency; CALP takes five to seven years for academic language proficiency.

Contrastive analysis predicts difficulty from first-language differences; error analysis studies actual errors; interlanguage is the learner's evolving rule system.

Grammar-translation uses rules and translation; the direct method avoids the first language; audio-lingual uses drills; communicative teaching prioritises interaction.

Receptive vocabulary is recognised in listening or reading; productive vocabulary is used in speaking or writing; contextual guessing supports independent word learning.

The writing process has prewriting, drafting, revising, editing and publishing stages; revision addresses content, while editing addresses grammar and mechanics.

First-language interference causes transfer errors; code-switching is a normal bilingual strategy rather than evidence of language failure.

Divisibility rules: 3 and 9 by digit sum, 4 by last two digits, 8 by last three digits, 11 by alternating digit-sum difference.

HCF × LCM = product of the two numbers for any two positive integers.

Simple interest = PRT/100; compound amount = P(1 + R/100)^T; compound interest = amount − principal.

Successive percentage changes of a% and b% give a net change of a + b + ab/100 percent; decreases are negative.

Area formulas: triangle ½bh, parallelogram bh, trapezium ½(a+b)h, circle πr²; circumference 2πr.

Volume formulas: cube a³, cuboid lbh, cylinder πr²h; cuboid surface area 2(lb + bh + hl).

Mean = sum/count; median = middle ordered value; mode = most frequent value; range = maximum − minimum.

Triangle angles sum to 180°; an exterior angle equals the sum of the two opposite interior angles; alternate and corresponding angles are equal for parallel lines.

Van Hiele's geometry levels are visualisation, analysis, informal deduction, formal deduction and rigour; instruction should match the learner's level.

EVS themes: family and friends, food, shelter, water, travel, and things we make and do; the subject integrates science, social studies and environmental education.

Carbohydrates and fats give energy, proteins support growth and repair, vitamins and minerals protect the body, water transports materials and roughage aids digestion.

Deficiency diseases: scurvy from vitamin C deficiency, rickets from vitamin D deficiency, anaemia from iron deficiency, night blindness from vitamin A deficiency.

The water cycle consists of evaporation, condensation, precipitation and collection; boiling, filtration, chlorination and sedimentation make water safe.

Air is about 78% nitrogen, 21% oxygen and 0.03% carbon dioxide; respiration uses oxygen and releases carbon dioxide, while photosynthesis does the reverse.

Plant functions: roots absorb water and minerals, stems transport and support, leaves photosynthesise, flowers reproduce and fruits protect seeds.

Animals are herbivores, carnivores or omnivores; adaptations such as camouflage, migration, hibernation and specialised body parts aid survival.

EVS pedagogy uses observation, questioning, discovery, projects and field trips; a common misconception is that plants take ready-made food from the soil.

Piaget's stages: sensorimotor (0–2) with object permanence, preoperational (2–7) with egocentrism, concrete operational (7–11) with conservation, formal operational (11+) with abstract reasoning.

Vygotsky's ZPD is the gap between independent and guided performance; scaffolding is support that is gradually withdrawn as competence grows.

Kohlberg's preconventional level is punishment and self-interest; the conventional level is social approval and law; the postconventional level is social contract and universal principles.

RTE Act 2009 guarantees free and compulsory education for ages 6–14, prohibits detention and expulsion till elementary completion, and reserves 25% seats for disadvantaged groups.

Formative assessment is assessment for learning during teaching; summative assessment is assessment of learning at the end of a term.

Learning theories: classical conditioning (Pavlov), operant conditioning (Skinner), trial and error (Thorndike), insight learning (Kohler), observational learning (Bandura).

Inclusive education adapts curriculum and access for diverse learners; the RPWD Act 2016 recognises 21 disabilities and requires reasonable accommodation.

Language skills develop in the order listening, speaking, reading, writing; oral language normally precedes written language.

Chomsky proposed an innate Language Acquisition Device and universal grammar; Skinner explained language through imitation and reinforcement.

Reading models are bottom-up decoding, top-down prediction and interactive processing; skimming is for gist and scanning is for a specific detail.

An error is a systematic deviation reflecting the learner's rule system; a mistake is a performance slip that can be self-corrected.

Communicative Language Teaching uses meaningful interaction, information-gap tasks and real purposes, balancing fluency with accuracy.

NCF 2005 recommends the three-language formula and treats multilingualism as a resource; language learning is promoted across the curriculum.

Comprehension questions are literal, inferential or evaluative; cloze, dictation, portfolio and rubric are common language assessment tools.

Krashen's input hypothesis holds that acquisition occurs when learners understand input slightly beyond their current level, described as i+1.

Cummins's BICS is conversational fluency, developing in about two years; CALP is academic language proficiency, taking five to seven years.

Contrastive analysis predicts difficulty from first-language differences; error analysis studies actual errors; interlanguage is the learner's evolving rule system.

Grammar-translation uses rules and translation; the direct method avoids the first language; audio-lingual uses drills; communicative teaching prioritises interaction.

Receptive vocabulary is recognised in listening or reading; productive vocabulary is used in speaking or writing; contextual guessing supports word learning.

The writing process has prewriting, drafting, revising, editing and publishing stages; revision addresses content and editing addresses mechanics.

First-language interference causes transfer errors; code-switching is a normal bilingual strategy, not evidence of language failure.

Divisibility rules: 3 and 9 by digit sum, 4 by last two digits, 8 by last three digits, 11 by alternating digit-sum difference.

HCF × LCM = product of the two positive integers.

Simple interest = PRT/100; compound amount = P(1 + R/100)^T; compound interest = amount − principal.

Successive percentage changes a% and b% give a net change of a + b + ab/100 percent; decreases are negative.

Area formulas: triangle ½bh, parallelogram bh, trapezium ½(a+b)h, circle πr²; circumference 2πr.

Volume formulas: cube a³, cuboid lbh, cylinder πr²h; cuboid surface area 2(lb + bh + hl).

Mean = sum/count; median = middle ordered value; mode = most frequent value; range = maximum − minimum.

Triangle interior angles sum to 180°; an exterior angle equals the sum of the two opposite interior angles; alternate and corresponding angles are equal for parallel lines.

Van Hiele's geometry levels are visualisation, analysis, informal deduction, formal deduction and rigour; instruction should match the learner's current level.

EVS themes: family and friends, food, shelter, water, travel, and things we make and do; the subject integrates science, social studies and environmental education.

Carbohydrates and fats give energy, proteins support growth and repair, vitamins and minerals protect the body, water transports materials and roughage aids digestion.

Deficiency diseases: scurvy from vitamin C deficiency, rickets from vitamin D deficiency, anaemia from iron deficiency, night blindness from vitamin A deficiency.

The water cycle consists of evaporation, condensation, precipitation and collection; boiling, filtration, chlorination and sedimentation make water safe.

Air is about 78% nitrogen, 21% oxygen and 0.03% carbon dioxide; respiration uses oxygen and releases carbon dioxide, while photosynthesis does the reverse.

Plant functions: roots absorb water and minerals, stems transport and support, leaves photosynthesise, flowers reproduce and fruits protect seeds.

Animals are herbivores, carnivores or omnivores; adaptations such as camouflage, migration, hibernation and specialised body parts aid survival.

EVS pedagogy uses observation, questioning, discovery, projects and field trips; a common misconception is that plants take ready-made food from the soil.

Piaget's stages: sensorimotor (0–2) with object permanence, preoperational (2–7) with egocentrism, concrete operational (7–11) with conservation, formal operational (11+) with abstract reasoning.

Vygotsky's ZPD is the gap between independent and guided performance; scaffolding is support that is gradually withdrawn as competence grows.

Kohlberg's preconventional level is punishment and self-interest; the conventional level is social approval and law; the postconventional level is social contract and universal principles.

RTE Act 2009 guarantees free and compulsory education for ages 6–14, prohibits detention and expulsion till elementary completion, and reserves 25% seats for disadvantaged groups.

Formative assessment is assessment for learning during teaching; summative assessment is assessment of learning at the end of a term.

Learning theories: classical conditioning (Pavlov), operant conditioning (Skinner), trial and error (Thorndike), insight learning (Kohler), observational learning (Bandura).

Inclusive education adapts curriculum and access for diverse learners; the RPWD Act 2016 recognises 21 disabilities and requires reasonable accommodation.

Language skills develop in the order listening, speaking, reading, writing; oral language normally precedes written language.

Chomsky proposed an innate Language Acquisition Device and universal grammar; Skinner explained language through imitation and reinforcement.

Reading models are bottom-up decoding, top-down prediction and interactive processing; skimming is for gist and scanning is for a specific detail.

An error is a systematic deviation reflecting the learner's rule system; a mistake is a performance slip that can be self-corrected.

Communicative Language Teaching uses meaningful interaction, information-gap tasks and real purposes, balancing fluency with accuracy.

NCF 2005 recommends the three-language formula and treats multilingualism as a resource; language learning is promoted across the curriculum.

Comprehension questions are literal, inferential or evaluative; cloze, dictation, portfolio and rubric are common language assessment tools.

Krashen's input hypothesis holds that acquisition occurs when learners understand input slightly beyond their current level, described as i+1.

Cummins's BICS is conversational fluency, developing in about two years; CALP is academic language proficiency, taking five to seven years.

Contrastive analysis predicts difficulty from first-language differences; error analysis studies actual errors; interlanguage is the learner's evolving rule system.

Grammar-translation uses rules and translation; the direct method avoids the first language; audio-lingual uses drills; communicative teaching prioritises interaction.

Receptive vocabulary is recognised in listening or reading; productive vocabulary is used in speaking or writing; contextual guessing supports word learning.

The writing process has prewriting, drafting, revising, editing and publishing stages; revision addresses content and editing addresses mechanics.

First-language interference causes transfer errors; code-switching is a normal bilingual strategy, not evidence of language failure.

Divisibility rules: 3 and 9 by digit sum, 4 by last two digits, 8 by last three digits, 11 by alternating digit-sum difference.

HCF × LCM = product of the two positive integers.

Simple interest = PRT/100; compound amount = P(1 + R/100)^T; compound interest = amount − principal.

Successive percentage changes a% and b% give a net change of a + b + ab/100 percent; decreases are negative.

Area formulas: triangle ½bh, parallelogram bh, trapezium ½(a+b)h, circle πr²; circumference 2πr.

Volume formulas: cube a³, cuboid lbh, cylinder πr²h; cuboid surface area 2(lb + bh + hl).

Mean = sum/count; median = middle ordered value; mode = most frequent value; range = maximum − minimum.

Triangle interior angles sum to 180°; an exterior angle equals the sum of the two opposite interior angles; alternate and corresponding angles are equal for parallel lines.

Van Hiele's geometry levels are visualisation, analysis, informal deduction, formal deduction and rigour; instruction should match the learner's current level.

EVS themes: family and friends, food, shelter, water, travel, and things we make and do; the subject integrates science, social studies and environmental education.

Carbohydrates and fats give energy, proteins support growth and repair, vitamins and minerals protect the body, water transports materials and roughage aids digestion.

Deficiency diseases: scurvy from vitamin C deficiency, rickets from vitamin D deficiency, anaemia from iron deficiency, night blindness from vitamin A deficiency.

The water cycle consists of evaporation, condensation, precipitation and collection; boiling, filtration, chlorination and sedimentation make water safe.

Air is about 78% nitrogen, 21% oxygen and 0.03% carbon dioxide; respiration uses oxygen and releases carbon dioxide, while photosynthesis does the reverse.

Plant functions: roots absorb water and minerals, stems transport and support, leaves photosynthesise, flowers reproduce and fruits protect seeds.

Animals are herbivores, carnivores or omnivores; adaptations such as camouflage, migration, hibernation and specialised body parts aid survival.

EVS pedagogy uses observation, questioning, discovery, projects and field trips; a common misconception is that plants take ready-made food from the soil.

Piaget's stages: sensorimotor (0–2) with object permanence, preoperational (2–7) with egocentrism, concrete operational (7–11) with conservation, formal operational (11+) with abstract reasoning.

Vygotsky's ZPD is the gap between independent and guided performance; scaffolding is support that is gradually withdrawn as competence grows.

Kohlberg's preconventional level is punishment and self-interest; the conventional level is social approval and law; the postconventional level is social contract and universal principles.

RTE Act 2009 guarantees free and compulsory education for ages 6–14, prohibits detention and expulsion till elementary completion, and reserves 25% seats for disadvantaged groups.

Formative assessment is assessment for learning during teaching; summative assessment is assessment of learning at the end of a term.

Learning theories: classical conditioning (Pavlov), operant conditioning (Skinner), trial and error (Thorndike), insight learning (Kohler), observational learning (Bandura).

Inclusive education adapts curriculum and access for diverse learners; the RPWD Act 2016 recognises 21 disabilities and requires reasonable accommodation.

Language skills develop in the order listening, speaking, reading, writing; oral language normally precedes written language.

Chomsky proposed an innate Language Acquisition Device and universal grammar; Skinner explained language through imitation and reinforcement.

Reading models are bottom-up decoding, top-down prediction and interactive processing; skimming is for gist and scanning is for a specific detail.

An error is a systematic deviation reflecting the learner's rule system; a mistake is a performance slip that can be self-corrected.

Communicative Language Teaching uses meaningful interaction, information-gap tasks and real purposes, balancing fluency with accuracy.

NCF 2005 recommends the three-language formula and treats multilingualism as a resource; language learning is promoted across the curriculum.

Comprehension questions are literal, inferential or evaluative; cloze, dictation, portfolio and rubric are common language assessment tools.

Krashen's input hypothesis holds that acquisition occurs when learners understand input slightly beyond their current level, described as i+1.

Cummins's BICS is conversational fluency, developing in about two years; CALP is academic language proficiency, taking five to seven years.

Contrastive analysis predicts difficulty from first-language differences; error analysis studies actual errors; interlanguage is the learner's evolving rule system.

Grammar-translation uses rules and translation; the direct method avoids the first language; audio-lingual uses drills; communicative teaching prioritises interaction.

Receptive vocabulary is recognised in listening or reading; productive vocabulary is used in speaking or writing; contextual guessing supports word learning.

The writing process has prewriting, drafting, revising, editing and publishing stages; revision addresses content and editing addresses mechanics.

First-language interference causes transfer errors; code-switching is a normal bilingual strategy, not evidence of language failure.

Divisibility rules: 3 and 9 by digit sum, 4 by last two digits, 8 by last three digits, 11 by alternating digit-sum difference.

HCF × LCM = product of the two positive integers.

Simple interest = PRT/100; compound amount = P(1 + R/100)^T; compound interest = amount − principal.

Successive percentage changes a% and b% give a net change of a + b + ab/100 percent; decreases are negative.

Area formulas: triangle ½bh, parallelogram bh, trapezium ½(a+b)h, circle πr²; circumference 2πr.

Volume formulas: cube a³, cuboid lbh, cylinder πr²h; cuboid surface area 2(lb + bh + hl).

Mean = sum/count; median = middle ordered value; mode = most frequent value; range = maximum − minimum.

Triangle interior angles sum to 180°; an exterior angle equals the sum of the two opposite interior angles; alternate and corresponding angles are equal for parallel lines.

Van Hiele's geometry levels are visualisation, analysis, informal deduction, formal deduction and rigour; instruction should match the learner's current level.

EVS themes: family and friends, food, shelter, water, travel, and things we make and do; the subject integrates science, social studies and environmental education.

Carbohydrates and fats give energy, proteins support growth and repair, vitamins and minerals protect the body, water transports materials and roughage aids digestion.

Deficiency diseases: scurvy from vitamin C deficiency, rickets from vitamin D deficiency, anaemia from iron deficiency, night blindness from vitamin A deficiency.

The water cycle consists of evaporation, condensation, precipitation and collection; boiling, filtration, chlorination and sedimentation make water safe.

Air is about 78% nitrogen, 21% oxygen and 0.03% carbon dioxide; respiration uses oxygen and releases carbon dioxide, while photosynthesis does the reverse.

Plant functions: roots absorb water and minerals, stems transport and support, leaves photosynthesise, flowers reproduce and fruits protect seeds.

Animals are herbivores, carnivores or omnivores; adaptations such as camouflage, migration, hibernation and specialised body parts aid survival.

EVS pedagogy uses observation, questioning, discovery, projects and field trips; a common misconception is that plants take ready-made food from the soil.

Piaget's stages: sensorimotor (0–2) with object permanence, preoperational (2–7) with egocentrism, concrete operational (7–11) with conservation, formal operational (11+) with abstract reasoning.

Vygotsky's ZPD is the gap between independent and guided performance; scaffolding is support that is gradually withdrawn as competence grows.

Kohlberg's preconventional level is punishment and self-interest; the conventional level is social approval and law; the postconventional level is social contract and universal principles.

RTE Act 2009 guarantees free and compulsory education for ages 6–14, prohibits detention and expulsion till elementary completion, and reserves 25% seats for disadvantaged groups.

Formative assessment is assessment for learning during teaching; summative assessment is assessment of learning at the end of a term.

Learning theories: classical conditioning (Pavlov), operant conditioning (Skinner), trial and error (Thorndike), insight learning (Kohler), observational learning (Bandura).

Inclusive education adapts curriculum and access for diverse learners; the RPWD Act 2016 recognises 21 disabilities and requires reasonable accommodation.

Language skills develop in the order listening, speaking, reading, writing; oral language normally precedes written language.

Chomsky proposed an innate Language Acquisition Device and universal grammar; Skinner explained language through imitation and reinforcement.

Reading models are bottom-up decoding, top-down prediction and interactive processing; skimming is for gist and scanning is for a specific detail.

An error is a systematic deviation reflecting the learner's rule system; a mistake is a performance slip that can be self-corrected.

Communicative Language Teaching uses meaningful interaction, information-gap tasks and real purposes, balancing fluency with accuracy.

NCF 2005 recommends the three-language formula and treats multilingualism as a resource; language learning is promoted across the curriculum.

Comprehension questions are literal, inferential or evaluative; cloze, dictation, portfolio and rubric are common language assessment tools.

Krashen's input hypothesis holds that acquisition occurs when learners understand input slightly beyond their current level, described as i+1.

Cummins's BICS is conversational fluency, developing in about two years; CALP is academic language proficiency, taking five to seven years.

Contrastive analysis predicts difficulty from first-language differences; error analysis studies actual errors; interlanguage is the learner's evolving rule system.

Grammar-translation uses rules and translation; the direct method avoids the first language; audio-lingual uses drills; communicative teaching prioritises interaction.

Receptive vocabulary is recognised in listening or reading; productive vocabulary is used in speaking or writing; contextual guessing supports word learning.

The writing process has prewriting, drafting, revising, editing and publishing stages; revision addresses content and editing addresses mechanics.

First-language interference causes transfer errors; code-switching is a normal bilingual strategy, not evidence of language failure.

Divisibility rules: 3 and 9 by digit sum, 4 by last two digits, 8 by last three digits, 11 by alternating digit-sum difference.

HCF × LCM = product of the two positive integers.

Simple interest = PRT/100; compound amount = P(1 + R/100)^T; compound interest = amount − principal.

Successive percentage changes a% and b% give a net change of a + b + ab/100 percent; decreases are negative.

Area formulas: triangle ½bh, parallelogram bh, trapezium ½(a+b)h, circle πr²; circumference 2πr.

Volume formulas: cube a³, cuboid lbh, cylinder πr²h; cuboid surface area 2(lb + bh + hl).

Mean = sum/count; median = middle ordered value; mode = most frequent value; range = maximum − minimum.

Triangle interior angles sum to 180°; an exterior angle equals the sum of the two opposite interior angles; alternate and corresponding angles are equal for parallel lines.

Van Hiele's geometry levels are visualisation, analysis, informal deduction, formal deduction and rigour; instruction should match the learner's current level.

EVS themes: family and friends, food, shelter, water, travel, and things we make and do; the subject integrates science, social studies and environmental education.

Carbohydrates and fats give energy, proteins support growth and repair, vitamins and minerals protect the body, water transports materials and roughage aids digestion.

Deficiency diseases: scurvy from vitamin C deficiency, rickets from vitamin D deficiency, anaemia from iron deficiency, night blindness from vitamin A deficiency.

The water cycle consists of evaporation, condensation, precipitation and collection; boiling, filtration, chlorination and sedimentation make water safe.

Air is about 78% nitrogen, 21% oxygen and 0.03% carbon dioxide; respiration uses oxygen and releases carbon dioxide, while photosynthesis does the reverse.

Plant functions: roots absorb water and minerals, stems transport and support, leaves photosynthesise, flowers reproduce and fruits protect seeds.

Animals are herbivores, carnivores or omnivores; adaptations such as camouflage, migration, hibernation and specialised body parts aid survival.

EVS pedagogy uses observation, questioning, discovery, projects and field trips; a common misconception is that plants take ready-made food from the soil.