OSAT OK121 cheat sheet

Piaget's stages: sensorimotor (0–2, object permanence), preoperational (2–7, symbolic thought, egocentrism, no conservation), concrete operational (7–11, conservation, reversibility, classification), formal operational (11+, abstract and hypothetical reasoning).

Erikson's psychosocial crises in order: trust vs. mistrust (infancy), autonomy vs. shame (1–3), initiative vs. guilt (3–6), industry vs. inferiority (6–12), identity vs. role confusion (adolescence).

Vygotsky: learning is social first, then internalized; the zone of proximal development is the gap between independent performance and performance with adult or peer scaffolding; private speech becomes inner speech.

Kohlberg's moral levels: preconventional (obedience/punishment, instrumental exchange), conventional (good boy/girl, law and order), postconventional (social contract, universal principles).

Maslow's hierarchy from bottom: physiological, safety, belonging/love, esteem, self-actualization; lower needs generally dominate until met.

Bronfenbrenner's ecological systems: microsystem (family, classroom), mesosystem (links between microsystems), exosystem (parent's workplace), macrosystem (culture), chronosystem (time).

Classical conditioning (Pavlov): neutral stimulus paired with unconditioned stimulus acquires conditioned power; operant conditioning (Skinner): reinforcement increases behavior, punishment decreases it; negative means removing a stimulus, not bad.

Fixed-interval schedules produce scalloped response patterns; variable-ratio schedules produce the highest, steadiest rates and greatest resistance to extinction.

Typical milestones: two-word phrases near 18–24 months, ~50 words by 18 months, 6,000+ words by age 6, conservation appears around age 7; deviations warrant referral, not diagnosis by the teacher.

The five essential components of reading instruction: phonemic awareness, phonics, fluency, vocabulary, and comprehension.

Phonological awareness is the umbrella (syllables, rhymes, onset-rime); phonemic awareness is the narrowest level - isolating, blending, and segmenting individual phonemes.

The alphabetic principle: letters map to sounds; the 44 English phonemes are represented by roughly 250 graphemes, so phonics instruction must address digraphs, blends, and vowel teams.

Fluency = accuracy × automaticity × prosody, typically benchmarked as correct words per minute; the 50th-percentile oral reading rate rises from about 50–60 wpm in grade 1 to 120–150 wpm by grade 5.

The Simple View of Reading: comprehension = decoding × language comprehension; a weakness in either factor alone limits reading comprehension.

Writing process stages: prewriting, drafting, revising, editing, publishing; the 6+1 traits are ideas, organization, voice, word choice, sentence fluency, conventions, and presentation.

Vocabulary tiers: Tier 1 everyday words, Tier 2 high-frequency academic words across domains (e.g., compare, evidence), Tier 3 domain-specific terms; Tier 2 yields the highest instructional return.

Comprehension strategies that research supports: predicting, questioning, visualizing, monitoring, summarizing, and using text structure; teach them through explicit modeling and gradual release.

Second-language acquisition: BICS (conversational) typically develops in 1–3 years, CALP (academic) in 5–7 years; silence in a silent period is normal, not defiance.

Number and operation progressions: counting and cardinality → base-ten place value → additive reasoning → multiplicative reasoning → rational numbers → proportional reasoning → algebra.

Place value is positional and base-ten: each place is ten times the value of the place to its right; 10 ones = 1 ten, 10 tens = 1 hundred.

Commutative (a+b=b+a; ab=ba), associative ((a+b)+c=a+(b+c)), identity, and distributive (a(b+c)=ab+ac) properties; subtraction and division are not commutative.

Standard algorithms for whole numbers: addition/subtraction regroup by place; multiplication uses partial products; division uses long division with quotient and remainder.

Fraction operations: common denominator for addition/subtraction; multiply numerators and denominators; divide by multiplying by the reciprocal; a fraction of a number is multiplication.

Area formulas: rectangle l×w, triangle ½bh, parallelogram bh, trapezoid ½(b1+b2)h, circle πr²; circumference = 2πr; volume of a prism = Bh.

Mean = sum ÷ count; median = middle value of ordered data; mode = most frequent; range = max − min; the mean is pulled toward outliers, the median is resistant.

Probability of a simple event = favorable outcomes ÷ total equally likely outcomes; independent events multiply: P(A and B) = P(A)×P(B).

Mathematical practice emphasizes reasoning, precision of language, modeling with mathematics, and using tools strategically; errors are diagnostic evidence of partial understanding, not lack of ability.

Scientific inquiry cycle: question → hypothesis → procedure with controlled variables → data collection → analysis → conclusion → communication; only the independent variable is manipulated.

Matter: solids have fixed shape and volume, liquids fixed volume but not shape, gases neither; physical changes preserve identity, chemical changes produce new substances with different properties.

Energy forms: kinetic, potential, thermal, light, sound, electrical, chemical; energy is conserved and transfers or transforms but is not created or destroyed.

Earth and space: Earth rotates on its axis once per ~24 hours (day/night) and revolves around the Sun once per ~365¼ days (seasons, caused by axial tilt, not distance).

Water cycle stages: evaporation, transpiration, condensation, precipitation, collection/runoff; the Sun is the energy source.

Life science: cells are the basic unit; photosynthesis (chloroplasts) converts light, CO₂, and water into glucose and oxygen; cellular respiration releases energy in mitochondria.

Food chains transfer energy from producers to consumers to decomposers; roughly 10% of energy passes to the next trophic level.

Inheritance: genes on chromosomes carry traits; dominant alleles mask recessive ones; phenotype = genotype expressed in environment; acquired traits are not inherited.

Forces: Newton's laws - inertia, F=ma, and equal-and-opposite action-reaction pairs; gravity and friction are common forces to identify in classroom investigations.

Map skills: cardinal directions (N, E, S, W) and intermediate directions; scale converts map distance to real distance; latitude runs east-west, longitude runs north-south.

Absolute location uses coordinates (latitude, longitude); relative location uses relationships to other places; a region shares unifying physical or human characteristics.

Human-environment interaction, movement, place, location, and region are the five themes of geography.

U.S. government: three branches - legislative (Congress, makes laws), executive (President, enforces), judicial (courts, interprets); checks and balances prevent any one branch from dominating.

The Constitution, Bill of Rights (first ten amendments), and federalism divide power between national and state governments; the First Amendment protects speech, religion, press, assembly, and petition.

Historical thinking: primary sources are created in the period (letters, artifacts, photographs); secondary sources interpret them (textbooks, documentaries); corroborate across sources and identify point of view.

Economic concepts: scarcity forces choices and opportunity cost; supply and demand set price; producers, consumers, goods, services, and interdependence describe an economy.

Cultural universals - food, shelter, clothing, language, beliefs, government, arts - provide a framework for comparing societies without ranking them.

Citizenship: rights carry responsibilities (voting, jury duty, obeying laws); civic participation ranges from local volunteering to national elections.

Art elements: line, shape, form, color, value, texture, space; design principles: balance, contrast, emphasis, movement, pattern, rhythm, unity.

Color theory: primary colors (red, yellow, blue in traditional pigment theory), secondary colors made by mixing two primaries, complementary pairs opposite on the color wheel.

Music elements: melody, rhythm, harmony, form, timbre, dynamics, tempo; the pentatonic scale (five pitches) suits early improvisation because it minimizes dissonance.

Creative drama and process drama build comprehension and oral language; performance differs from process in that it is rehearsed for an audience.

Health strands: nutrition, physical activity, injury prevention, mental/emotional health, personal hygiene, disease prevention; the five food groups are fruits, vegetables, grains, protein, dairy.

Fitness components: cardiorespiratory endurance, muscular strength, muscular endurance, flexibility, body composition; FITT = frequency, intensity, time, type.

Physical education skill themes progress from locomotor (run, hop, skip) to non-locomotor (balance, twist) to manipulative (throw, catch, strike); developmentally appropriate equipment and spacing reduce injury.

Safe practice: warm-up before activity, hydration, appropriate footwear, and progressive skill progression; heart rate rises during moderate-to-vigorous activity and should be monitored for exertion level.

Integrated arts and movement support memory and engagement; a lesson can address content standards while students draw, sing, or move to represent the concept.

Backward design: identify desired results (standards) → determine acceptable evidence (assessment) → plan learning experiences and instruction.

Formative assessment informs instruction during learning (exit tickets, questioning, observations); summative assessment measures achievement at the end (unit tests, projects).

Norm-referenced tests compare a student to peers (percentile rank, stanine); criterion-referenced tests compare performance to a fixed standard (proficiency levels).

Validity is whether a test measures what it claims; reliability is consistency across occasions and forms; a test can be reliable without being valid, but not valid without being reliable.

Differentiation adjusts content, process, or product based on readiness, interest, and learning profile; it is not a separate curriculum.

Bloom's revised taxonomy, low to high: remember, understand, apply, analyze, evaluate, create; align question stems and tasks to the intended cognitive level.

Cooperative learning structures (jigsaw, think-pair-share) require individual accountability and positive interdependence to be effective.

Universal Design for Learning: multiple means of representation, action and expression, and engagement; accommodations change how a student accesses content, modifications change what is expected.

Feedback is most effective when specific, timely, and focused on the task and process rather than on the learner's ability; grades should reflect achievement of standards, not behavior.

Epstein's six types of involvement: parenting, communicating, volunteering, learning at home, decision making, and collaborating with the community.

Effective home-school communication is two-way, proactive, frequent, and accessible (translated, plain language, multiple channels).

Families differ in structure, culture, language, and resources; deficit assumptions about families reduce participation and harm trust.

Conferences should be planned with data, student work samples, a clear agenda, and a shared goal; begin with strengths and invite family perspective.

Confidentiality: student records and family information are protected by FERPA; share only with those who have legitimate educational interest.

Community resources that support learning include libraries, museums, parks, health clinics, and local businesses; service learning connects curriculum to community needs.

Cultural brokers and interpreters support families who speak languages other than the school's language; avoid using the student as the interpreter for sensitive matters.

Barriers to involvement include scheduling, transportation, language, prior negative school experiences, and unclear invitations; removing a barrier is more effective than repeating the invitation.

Family involvement correlates with attendance, motivation, and achievement; the strongest link is through learning activities at home that families can actually do.

The professional code of conduct covers ethics, confidentiality, appropriate relationships, and reporting obligations; the educator's duty to students overrides personal convenience.

Mandated reporting: suspicion of abuse or neglect must be reported to the designated agency promptly; the teacher does not investigate or verify before reporting.

Legal foundations: FERPA (privacy of records), IDEA (free appropriate public education, IEP, least restrictive environment), Section 504 (accommodations for disability), Title I (federal funding for low-income schools).

An IEP team includes parents, general and special education teachers, an administrator, related-service providers, and the student when appropriate; placement decisions are made by the team, not unilaterally.

Professional development is continuous: reflective practice, peer observation, data teams, and professional learning communities improve instruction.

Ethical use of technology: protect student data, follow acceptable-use policies, obtain permission before publishing student images or work.

Collegiality includes collaborating with grade-level teams, supporting substitutes, and addressing conflicts directly and privately rather than in front of students.

Educators model academic integrity, punctuality, and respectful language; personal opinions on politics and religion should not be imposed on students.

Documentation matters: keep objective, dated records of incidents and communications; subjective labels in records create legal and ethical risk.

Piaget's stages: sensorimotor (0–2, object permanence), preoperational (2–7, symbolic thought, egocentrism, no conservation), concrete operational (7–11, conservation, reversibility, classification), formal operational (11+, abstract and hypothetical reasoning).

Erikson's psychosocial crises in order: trust vs. mistrust (infancy), autonomy vs. shame (1–3), initiative vs. guilt (3–6), industry vs. inferiority (6–12), identity vs. role confusion (adolescence).

Vygotsky: learning is social first, then internalized; the zone of proximal development is the gap between independent performance and performance with adult or peer scaffolding; private speech becomes inner speech.

Kohlberg's moral levels: preconventional (obedience/punishment, instrumental exchange), conventional (good boy/girl, law and order), postconventional (social contract, universal principles).

Maslow's hierarchy from bottom: physiological, safety, belonging/love, esteem, self-actualization; lower needs generally dominate until met.

Bronfenbrenner's ecological systems: microsystem (family, classroom), mesosystem (links between microsystems), exosystem (parent's workplace), macrosystem (culture), chronosystem (time).

Classical conditioning (Pavlov): neutral stimulus paired with unconditioned stimulus acquires conditioned power; operant conditioning (Skinner): reinforcement increases behavior, punishment decreases it; negative means removing a stimulus, not bad.

Fixed-interval schedules produce scalloped response patterns; variable-ratio schedules produce the highest, steadiest rates and greatest resistance to extinction.

Typical milestones: two-word phrases near 18–24 months, ~50 words by 18 months, 6,000+ words by age 6, conservation appears around age 7; deviations warrant referral, not diagnosis by the teacher.

The five essential components of reading instruction: phonemic awareness, phonics, fluency, vocabulary, and comprehension.

Phonological awareness is the umbrella (syllables, rhymes, onset-rime); phonemic awareness is the narrowest level - isolating, blending, and segmenting individual phonemes.

The alphabetic principle: letters map to sounds; the 44 English phonemes are represented by roughly 250 graphemes, so phonics instruction must address digraphs, blends, and vowel teams.

Fluency = accuracy × automaticity × prosody, typically benchmarked as correct words per minute; the 50th-percentile oral reading rate rises from about 50–60 wpm in grade 1 to 120–150 wpm by grade 5.

The Simple View of Reading: comprehension = decoding × language comprehension; a weakness in either factor alone limits reading comprehension.

Writing process stages: prewriting, drafting, revising, editing, publishing; the 6+1 traits are ideas, organization, voice, word choice, sentence fluency, conventions, and presentation.

Vocabulary tiers: Tier 1 everyday words, Tier 2 high-frequency academic words across domains (e.g., compare, evidence), Tier 3 domain-specific terms; Tier 2 yields the highest instructional return.

Comprehension strategies that research supports: predicting, questioning, visualizing, monitoring, summarizing, and using text structure; teach them through explicit modeling and gradual release.

Second-language acquisition: BICS (conversational) typically develops in 1–3 years, CALP (academic) in 5–7 years; silence in a silent period is normal, not defiance.

Number and operation progressions: counting and cardinality → base-ten place value → additive reasoning → multiplicative reasoning → rational numbers → proportional reasoning → algebra.

Place value is positional and base-ten: each place is ten times the value of the place to its right; 10 ones = 1 ten, 10 tens = 1 hundred.

Commutative (a+b=b+a; ab=ba), associative ((a+b)+c=a+(b+c)), identity, and distributive (a(b+c)=ab+ac) properties; subtraction and division are not commutative.

Standard algorithms for whole numbers: addition/subtraction regroup by place; multiplication uses partial products; division uses long division with quotient and remainder.

Fraction operations: common denominator for addition/subtraction; multiply numerators and denominators; divide by multiplying by the reciprocal; a fraction of a number is multiplication.

Area formulas: rectangle l×w, triangle ½bh, parallelogram bh, trapezoid ½(b1+b2)h, circle πr²; circumference = 2πr; volume of a prism = Bh.

Mean = sum ÷ count; median = middle value of ordered data; mode = most frequent; range = max − min; the mean is pulled toward outliers, the median is resistant.

Probability of a simple event = favorable outcomes ÷ total equally likely outcomes; independent events multiply: P(A and B) = P(A)×P(B).

Mathematical practice emphasizes reasoning, precision of language, modeling with mathematics, and using tools strategically; errors are diagnostic evidence of partial understanding, not lack of ability.

Scientific inquiry cycle: question → hypothesis → procedure with controlled variables → data collection → analysis → conclusion → communication; only the independent variable is manipulated.

Matter: solids have fixed shape and volume, liquids fixed volume but not shape, gases neither; physical changes preserve identity, chemical changes produce new substances with different properties.

Energy forms: kinetic, potential, thermal, light, sound, electrical, chemical; energy is conserved and transfers or transforms but is not created or destroyed.

Earth and space: Earth rotates on its axis once per ~24 hours (day/night) and revolves around the Sun once per ~365¼ days (seasons, caused by axial tilt, not distance).

Water cycle stages: evaporation, transpiration, condensation, precipitation, collection/runoff; the Sun is the energy source.

Life science: cells are the basic unit; photosynthesis (chloroplasts) converts light, CO₂, and water into glucose and oxygen; cellular respiration releases energy in mitochondria.

Food chains transfer energy from producers to consumers to decomposers; roughly 10% of energy passes to the next trophic level.

Inheritance: genes on chromosomes carry traits; dominant alleles mask recessive ones; phenotype = genotype expressed in environment; acquired traits are not inherited.

Forces: Newton's laws - inertia, F=ma, and equal-and-opposite action-reaction pairs; gravity and friction are common forces to identify in classroom investigations.

Map skills: cardinal directions (N, E, S, W) and intermediate directions; scale converts map distance to real distance; latitude runs east-west, longitude runs north-south.

Absolute location uses coordinates (latitude, longitude); relative location uses relationships to other places; a region shares unifying physical or human characteristics.

Human-environment interaction, movement, place, location, and region are the five themes of geography.

U.S. government: three branches - legislative (Congress, makes laws), executive (President, enforces), judicial (courts, interprets); checks and balances prevent any one branch from dominating.

The Constitution, Bill of Rights (first ten amendments), and federalism divide power between national and state governments; the First Amendment protects speech, religion, press, assembly, and petition.

Historical thinking: primary sources are created in the period (letters, artifacts, photographs); secondary sources interpret them (textbooks, documentaries); corroborate across sources and identify point of view.

Economic concepts: scarcity forces choices and opportunity cost; supply and demand set price; producers, consumers, goods, services, and interdependence describe an economy.

Cultural universals - food, shelter, clothing, language, beliefs, government, arts - provide a framework for comparing societies without ranking them.

Citizenship: rights carry responsibilities (voting, jury duty, obeying laws); civic participation ranges from local volunteering to national elections.

Art elements: line, shape, form, color, value, texture, space; design principles: balance, contrast, emphasis, movement, pattern, rhythm, unity.

Color theory: primary colors (red, yellow, blue in traditional pigment theory), secondary colors made by mixing two primaries, complementary pairs opposite on the color wheel.

Music elements: melody, rhythm, harmony, form, timbre, dynamics, tempo; the pentatonic scale (five pitches) suits early improvisation because it minimizes dissonance.

Creative drama and process drama build comprehension and oral language; performance differs from process in that it is rehearsed for an audience.

Health strands: nutrition, physical activity, injury prevention, mental/emotional health, personal hygiene, disease prevention; the five food groups are fruits, vegetables, grains, protein, dairy.

Fitness components: cardiorespiratory endurance, muscular strength, muscular endurance, flexibility, body composition; FITT = frequency, intensity, time, type.

Physical education skill themes progress from locomotor (run, hop, skip) to non-locomotor (balance, twist) to manipulative (throw, catch, strike); developmentally appropriate equipment and spacing reduce injury.

Safe practice: warm-up before activity, hydration, appropriate footwear, and progressive skill progression; heart rate rises during moderate-to-vigorous activity and should be monitored for exertion level.

Integrated arts and movement support memory and engagement; a lesson can address content standards while students draw, sing, or move to represent the concept.

Backward design: identify desired results (standards) → determine acceptable evidence (assessment) → plan learning experiences and instruction.

Formative assessment informs instruction during learning (exit tickets, questioning, observations); summative assessment measures achievement at the end (unit tests, projects).

Norm-referenced tests compare a student to peers (percentile rank, stanine); criterion-referenced tests compare performance to a fixed standard (proficiency levels).

Validity is whether a test measures what it claims; reliability is consistency across occasions and forms; a test can be reliable without being valid, but not valid without being reliable.

Differentiation adjusts content, process, or product based on readiness, interest, and learning profile; it is not a separate curriculum.

Bloom's revised taxonomy, low to high: remember, understand, apply, analyze, evaluate, create; align question stems and tasks to the intended cognitive level.

Cooperative learning structures (jigsaw, think-pair-share) require individual accountability and positive interdependence to be effective.

Universal Design for Learning: multiple means of representation, action and expression, and engagement; accommodations change how a student accesses content, modifications change what is expected.

Feedback is most effective when specific, timely, and focused on the task and process rather than on the learner's ability; grades should reflect achievement of standards, not behavior.

Epstein's six types of involvement: parenting, communicating, volunteering, learning at home, decision making, and collaborating with the community.

Effective home-school communication is two-way, proactive, frequent, and accessible (translated, plain language, multiple channels).

Families differ in structure, culture, language, and resources; deficit assumptions about families reduce participation and harm trust.

Conferences should be planned with data, student work samples, a clear agenda, and a shared goal; begin with strengths and invite family perspective.

Confidentiality: student records and family information are protected by FERPA; share only with those who have legitimate educational interest.

Community resources that support learning include libraries, museums, parks, health clinics, and local businesses; service learning connects curriculum to community needs.

Cultural brokers and interpreters support families who speak languages other than the school's language; avoid using the student as the interpreter for sensitive matters.

Barriers to involvement include scheduling, transportation, language, prior negative school experiences, and unclear invitations; removing a barrier is more effective than repeating the invitation.

Family involvement correlates with attendance, motivation, and achievement; the strongest link is through learning activities at home that families can actually do.

The professional code of conduct covers ethics, confidentiality, appropriate relationships, and reporting obligations; the educator's duty to students overrides personal convenience.

Mandated reporting: suspicion of abuse or neglect must be reported to the designated agency promptly; the teacher does not investigate or verify before reporting.

Legal foundations: FERPA (privacy of records), IDEA (free appropriate public education, IEP, least restrictive environment), Section 504 (accommodations for disability), Title I (federal funding for low-income schools).

An IEP team includes parents, general and special education teachers, an administrator, related-service providers, and the student when appropriate; placement decisions are made by the team, not unilaterally.

Professional development is continuous: reflective practice, peer observation, data teams, and professional learning communities improve instruction.

Ethical use of technology: protect student data, follow acceptable-use policies, obtain permission before publishing student images or work.

Collegiality includes collaborating with grade-level teams, supporting substitutes, and addressing conflicts directly and privately rather than in front of students.

Educators model academic integrity, punctuality, and respectful language; personal opinions on politics and religion should not be imposed on students.

Documentation matters: keep objective, dated records of incidents and communications; subjective labels in records create legal and ethical risk.

Piaget's stages: sensorimotor (0–2, object permanence), preoperational (2–7, symbolic thought, egocentrism, no conservation), concrete operational (7–11, conservation, reversibility, classification), formal operational (11+, abstract and hypothetical reasoning).

Erikson's psychosocial crises in order: trust vs. mistrust (infancy), autonomy vs. shame (1–3), initiative vs. guilt (3–6), industry vs. inferiority (6–12), identity vs. role confusion (adolescence).

Vygotsky: learning is social first, then internalized; the zone of proximal development is the gap between independent performance and performance with adult or peer scaffolding; private speech becomes inner speech.

Kohlberg's moral levels: preconventional (obedience/punishment, instrumental exchange), conventional (good boy/girl, law and order), postconventional (social contract, universal principles).

Maslow's hierarchy from bottom: physiological, safety, belonging/love, esteem, self-actualization; lower needs generally dominate until met.

Bronfenbrenner's ecological systems: microsystem (family, classroom), mesosystem (links between microsystems), exosystem (parent's workplace), macrosystem (culture), chronosystem (time).

Classical conditioning (Pavlov): neutral stimulus paired with unconditioned stimulus acquires conditioned power; operant conditioning (Skinner): reinforcement increases behavior, punishment decreases it; negative means removing a stimulus, not bad.

Fixed-interval schedules produce scalloped response patterns; variable-ratio schedules produce the highest, steadiest rates and greatest resistance to extinction.

Typical milestones: two-word phrases near 18–24 months, ~50 words by 18 months, 6,000+ words by age 6, conservation appears around age 7; deviations warrant referral, not diagnosis by the teacher.

The five essential components of reading instruction: phonemic awareness, phonics, fluency, vocabulary, and comprehension.

Phonological awareness is the umbrella (syllables, rhymes, onset-rime); phonemic awareness is the narrowest level - isolating, blending, and segmenting individual phonemes.

The alphabetic principle: letters map to sounds; the 44 English phonemes are represented by roughly 250 graphemes, so phonics instruction must address digraphs, blends, and vowel teams.

Fluency = accuracy × automaticity × prosody, typically benchmarked as correct words per minute; the 50th-percentile oral reading rate rises from about 50–60 wpm in grade 1 to 120–150 wpm by grade 5.

The Simple View of Reading: comprehension = decoding × language comprehension; a weakness in either factor alone limits reading comprehension.

Writing process stages: prewriting, drafting, revising, editing, publishing; the 6+1 traits are ideas, organization, voice, word choice, sentence fluency, conventions, and presentation.

Vocabulary tiers: Tier 1 everyday words, Tier 2 high-frequency academic words across domains (e.g., compare, evidence), Tier 3 domain-specific terms; Tier 2 yields the highest instructional return.

Comprehension strategies that research supports: predicting, questioning, visualizing, monitoring, summarizing, and using text structure; teach them through explicit modeling and gradual release.

Second-language acquisition: BICS (conversational) typically develops in 1–3 years, CALP (academic) in 5–7 years; silence in a silent period is normal, not defiance.

Number and operation progressions: counting and cardinality → base-ten place value → additive reasoning → multiplicative reasoning → rational numbers → proportional reasoning → algebra.

Place value is positional and base-ten: each place is ten times the value of the place to its right; 10 ones = 1 ten, 10 tens = 1 hundred.

Commutative (a+b=b+a; ab=ba), associative ((a+b)+c=a+(b+c)), identity, and distributive (a(b+c)=ab+ac) properties; subtraction and division are not commutative.

Standard algorithms for whole numbers: addition/subtraction regroup by place; multiplication uses partial products; division uses long division with quotient and remainder.

Fraction operations: common denominator for addition/subtraction; multiply numerators and denominators; divide by multiplying by the reciprocal; a fraction of a number is multiplication.

Area formulas: rectangle l×w, triangle ½bh, parallelogram bh, trapezoid ½(b1+b2)h, circle πr²; circumference = 2πr; volume of a prism = Bh.

Mean = sum ÷ count; median = middle value of ordered data; mode = most frequent; range = max − min; the mean is pulled toward outliers, the median is resistant.

Probability of a simple event = favorable outcomes ÷ total equally likely outcomes; independent events multiply: P(A and B) = P(A)×P(B).

Mathematical practice emphasizes reasoning, precision of language, modeling with mathematics, and using tools strategically; errors are diagnostic evidence of partial understanding, not lack of ability.

Scientific inquiry cycle: question → hypothesis → procedure with controlled variables → data collection → analysis → conclusion → communication; only the independent variable is manipulated.

Matter: solids have fixed shape and volume, liquids fixed volume but not shape, gases neither; physical changes preserve identity, chemical changes produce new substances with different properties.

Energy forms: kinetic, potential, thermal, light, sound, electrical, chemical; energy is conserved and transfers or transforms but is not created or destroyed.

Earth and space: Earth rotates on its axis once per ~24 hours (day/night) and revolves around the Sun once per ~365¼ days (seasons, caused by axial tilt, not distance).

Water cycle stages: evaporation, transpiration, condensation, precipitation, collection/runoff; the Sun is the energy source.

Life science: cells are the basic unit; photosynthesis (chloroplasts) converts light, CO₂, and water into glucose and oxygen; cellular respiration releases energy in mitochondria.

Food chains transfer energy from producers to consumers to decomposers; roughly 10% of energy passes to the next trophic level.

Inheritance: genes on chromosomes carry traits; dominant alleles mask recessive ones; phenotype = genotype expressed in environment; acquired traits are not inherited.

Forces: Newton's laws - inertia, F=ma, and equal-and-opposite action-reaction pairs; gravity and friction are common forces to identify in classroom investigations.

Map skills: cardinal directions (N, E, S, W) and intermediate directions; scale converts map distance to real distance; latitude runs east-west, longitude runs north-south.

Absolute location uses coordinates (latitude, longitude); relative location uses relationships to other places; a region shares unifying physical or human characteristics.

Human-environment interaction, movement, place, location, and region are the five themes of geography.

U.S. government: three branches - legislative (Congress, makes laws), executive (President, enforces), judicial (courts, interprets); checks and balances prevent any one branch from dominating.

The Constitution, Bill of Rights (first ten amendments), and federalism divide power between national and state governments; the First Amendment protects speech, religion, press, assembly, and petition.

Historical thinking: primary sources are created in the period (letters, artifacts, photographs); secondary sources interpret them (textbooks, documentaries); corroborate across sources and identify point of view.

Economic concepts: scarcity forces choices and opportunity cost; supply and demand set price; producers, consumers, goods, services, and interdependence describe an economy.

Cultural universals - food, shelter, clothing, language, beliefs, government, arts - provide a framework for comparing societies without ranking them.

Citizenship: rights carry responsibilities (voting, jury duty, obeying laws); civic participation ranges from local volunteering to national elections.

Art elements: line, shape, form, color, value, texture, space; design principles: balance, contrast, emphasis, movement, pattern, rhythm, unity.

Color theory: primary colors (red, yellow, blue in traditional pigment theory), secondary colors made by mixing two primaries, complementary pairs opposite on the color wheel.

Music elements: melody, rhythm, harmony, form, timbre, dynamics, tempo; the pentatonic scale (five pitches) suits early improvisation because it minimizes dissonance.

Creative drama and process drama build comprehension and oral language; performance differs from process in that it is rehearsed for an audience.

Health strands: nutrition, physical activity, injury prevention, mental/emotional health, personal hygiene, disease prevention; the five food groups are fruits, vegetables, grains, protein, dairy.

Fitness components: cardiorespiratory endurance, muscular strength, muscular endurance, flexibility, body composition; FITT = frequency, intensity, time, type.

Physical education skill themes progress from locomotor (run, hop, skip) to non-locomotor (balance, twist) to manipulative (throw, catch, strike); developmentally appropriate equipment and spacing reduce injury.

Safe practice: warm-up before activity, hydration, appropriate footwear, and progressive skill progression; heart rate rises during moderate-to-vigorous activity and should be monitored for exertion level.

Integrated arts and movement support memory and engagement; a lesson can address content standards while students draw, sing, or move to represent the concept.

Backward design: identify desired results (standards) → determine acceptable evidence (assessment) → plan learning experiences and instruction.

Formative assessment informs instruction during learning (exit tickets, questioning, observations); summative assessment measures achievement at the end (unit tests, projects).

Norm-referenced tests compare a student to peers (percentile rank, stanine); criterion-referenced tests compare performance to a fixed standard (proficiency levels).

Validity is whether a test measures what it claims; reliability is consistency across occasions and forms; a test can be reliable without being valid, but not valid without being reliable.

Differentiation adjusts content, process, or product based on readiness, interest, and learning profile; it is not a separate curriculum.

Bloom's revised taxonomy, low to high: remember, understand, apply, analyze, evaluate, create; align question stems and tasks to the intended cognitive level.

Cooperative learning structures (jigsaw, think-pair-share) require individual accountability and positive interdependence to be effective.

Universal Design for Learning: multiple means of representation, action and expression, and engagement; accommodations change how a student accesses content, modifications change what is expected.

Feedback is most effective when specific, timely, and focused on the task and process rather than on the learner's ability; grades should reflect achievement of standards, not behavior.

Epstein's six types of involvement: parenting, communicating, volunteering, learning at home, decision making, and collaborating with the community.

Effective home-school communication is two-way, proactive, frequent, and accessible (translated, plain language, multiple channels).

Families differ in structure, culture, language, and resources; deficit assumptions about families reduce participation and harm trust.

Conferences should be planned with data, student work samples, a clear agenda, and a shared goal; begin with strengths and invite family perspective.

Confidentiality: student records and family information are protected by FERPA; share only with those who have legitimate educational interest.

Community resources that support learning include libraries, museums, parks, health clinics, and local businesses; service learning connects curriculum to community needs.

Cultural brokers and interpreters support families who speak languages other than the school's language; avoid using the student as the interpreter for sensitive matters.

Barriers to involvement include scheduling, transportation, language, prior negative school experiences, and unclear invitations; removing a barrier is more effective than repeating the invitation.

Family involvement correlates with attendance, motivation, and achievement; the strongest link is through learning activities at home that families can actually do.

The professional code of conduct covers ethics, confidentiality, appropriate relationships, and reporting obligations; the educator's duty to students overrides personal convenience.

Mandated reporting: suspicion of abuse or neglect must be reported to the designated agency promptly; the teacher does not investigate or verify before reporting.

Legal foundations: FERPA (privacy of records), IDEA (free appropriate public education, IEP, least restrictive environment), Section 504 (accommodations for disability), Title I (federal funding for low-income schools).

An IEP team includes parents, general and special education teachers, an administrator, related-service providers, and the student when appropriate; placement decisions are made by the team, not unilaterally.

Professional development is continuous: reflective practice, peer observation, data teams, and professional learning communities improve instruction.

Ethical use of technology: protect student data, follow acceptable-use policies, obtain permission before publishing student images or work.

Collegiality includes collaborating with grade-level teams, supporting substitutes, and addressing conflicts directly and privately rather than in front of students.

Educators model academic integrity, punctuality, and respectful language; personal opinions on politics and religion should not be imposed on students.

Documentation matters: keep objective, dated records of incidents and communications; subjective labels in records create legal and ethical risk.

Piaget's stages: sensorimotor (0–2, object permanence), preoperational (2–7, symbolic thought, egocentrism, no conservation), concrete operational (7–11, conservation, reversibility, classification), formal operational (11+, abstract and hypothetical reasoning).

Erikson's psychosocial crises in order: trust vs. mistrust (infancy), autonomy vs. shame (1–3), initiative vs. guilt (3–6), industry vs. inferiority (6–12), identity vs. role confusion (adolescence).

Vygotsky: learning is social first, then internalized; the zone of proximal development is the gap between independent performance and performance with adult or peer scaffolding; private speech becomes inner speech.

Kohlberg's moral levels: preconventional (obedience/punishment, instrumental exchange), conventional (good boy/girl, law and order), postconventional (social contract, universal principles).

Maslow's hierarchy from bottom: physiological, safety, belonging/love, esteem, self-actualization; lower needs generally dominate until met.

Bronfenbrenner's ecological systems: microsystem (family, classroom), mesosystem (links between microsystems), exosystem (parent's workplace), macrosystem (culture), chronosystem (time).

Classical conditioning (Pavlov): neutral stimulus paired with unconditioned stimulus acquires conditioned power; operant conditioning (Skinner): reinforcement increases behavior, punishment decreases it; negative means removing a stimulus, not bad.

Fixed-interval schedules produce scalloped response patterns; variable-ratio schedules produce the highest, steadiest rates and greatest resistance to extinction.

Typical milestones: two-word phrases near 18–24 months, ~50 words by 18 months, 6,000+ words by age 6, conservation appears around age 7; deviations warrant referral, not diagnosis by the teacher.

The five essential components of reading instruction: phonemic awareness, phonics, fluency, vocabulary, and comprehension.

Phonological awareness is the umbrella (syllables, rhymes, onset-rime); phonemic awareness is the narrowest level - isolating, blending, and segmenting individual phonemes.

The alphabetic principle: letters map to sounds; the 44 English phonemes are represented by roughly 250 graphemes, so phonics instruction must address digraphs, blends, and vowel teams.

Fluency = accuracy × automaticity × prosody, typically benchmarked as correct words per minute; the 50th-percentile oral reading rate rises from about 50–60 wpm in grade 1 to 120–150 wpm by grade 5.

The Simple View of Reading: comprehension = decoding × language comprehension; a weakness in either factor alone limits reading comprehension.

Writing process stages: prewriting, drafting, revising, editing, publishing; the 6+1 traits are ideas, organization, voice, word choice, sentence fluency, conventions, and presentation.

Vocabulary tiers: Tier 1 everyday words, Tier 2 high-frequency academic words across domains (e.g., compare, evidence), Tier 3 domain-specific terms; Tier 2 yields the highest instructional return.

Comprehension strategies that research supports: predicting, questioning, visualizing, monitoring, summarizing, and using text structure; teach them through explicit modeling and gradual release.

Second-language acquisition: BICS (conversational) typically develops in 1–3 years, CALP (academic) in 5–7 years; silence in a silent period is normal, not defiance.

Number and operation progressions: counting and cardinality → base-ten place value → additive reasoning → multiplicative reasoning → rational numbers → proportional reasoning → algebra.

Place value is positional and base-ten: each place is ten times the value of the place to its right; 10 ones = 1 ten, 10 tens = 1 hundred.

Commutative (a+b=b+a; ab=ba), associative ((a+b)+c=a+(b+c)), identity, and distributive (a(b+c)=ab+ac) properties; subtraction and division are not commutative.

Standard algorithms for whole numbers: addition/subtraction regroup by place; multiplication uses partial products; division uses long division with quotient and remainder.

Fraction operations: common denominator for addition/subtraction; multiply numerators and denominators; divide by multiplying by the reciprocal; a fraction of a number is multiplication.

Area formulas: rectangle l×w, triangle ½bh, parallelogram bh, trapezoid ½(b1+b2)h, circle πr²; circumference = 2πr; volume of a prism = Bh.

Mean = sum ÷ count; median = middle value of ordered data; mode = most frequent; range = max − min; the mean is pulled toward outliers, the median is resistant.

Probability of a simple event = favorable outcomes ÷ total equally likely outcomes; independent events multiply: P(A and B) = P(A)×P(B).

Mathematical practice emphasizes reasoning, precision of language, modeling with mathematics, and using tools strategically; errors are diagnostic evidence of partial understanding, not lack of ability.

Scientific inquiry cycle: question → hypothesis → procedure with controlled variables → data collection → analysis → conclusion → communication; only the independent variable is manipulated.

Matter: solids have fixed shape and volume, liquids fixed volume but not shape, gases neither; physical changes preserve identity, chemical changes produce new substances with different properties.

Energy forms: kinetic, potential, thermal, light, sound, electrical, chemical; energy is conserved and transfers or transforms but is not created or destroyed.

Earth and space: Earth rotates on its axis once per ~24 hours (day/night) and revolves around the Sun once per ~365¼ days (seasons, caused by axial tilt, not distance).

Water cycle stages: evaporation, transpiration, condensation, precipitation, collection/runoff; the Sun is the energy source.

Life science: cells are the basic unit; photosynthesis (chloroplasts) converts light, CO₂, and water into glucose and oxygen; cellular respiration releases energy in mitochondria.

Food chains transfer energy from producers to consumers to decomposers; roughly 10% of energy passes to the next trophic level.

Inheritance: genes on chromosomes carry traits; dominant alleles mask recessive ones; phenotype = genotype expressed in environment; acquired traits are not inherited.

Forces: Newton's laws - inertia, F=ma, and equal-and-opposite action-reaction pairs; gravity and friction are common forces to identify in classroom investigations.

Map skills: cardinal directions (N, E, S, W) and intermediate directions; scale converts map distance to real distance; latitude runs east-west, longitude runs north-south.

Absolute location uses coordinates (latitude, longitude); relative location uses relationships to other places; a region shares unifying physical or human characteristics.

Human-environment interaction, movement, place, location, and region are the five themes of geography.

U.S. government: three branches - legislative (Congress, makes laws), executive (President, enforces), judicial (courts, interprets); checks and balances prevent any one branch from dominating.

The Constitution, Bill of Rights (first ten amendments), and federalism divide power between national and state governments; the First Amendment protects speech, religion, press, assembly, and petition.

Historical thinking: primary sources are created in the period (letters, artifacts, photographs); secondary sources interpret them (textbooks, documentaries); corroborate across sources and identify point of view.

Economic concepts: scarcity forces choices and opportunity cost; supply and demand set price; producers, consumers, goods, services, and interdependence describe an economy.

Cultural universals - food, shelter, clothing, language, beliefs, government, arts - provide a framework for comparing societies without ranking them.

Citizenship: rights carry responsibilities (voting, jury duty, obeying laws); civic participation ranges from local volunteering to national elections.

Art elements: line, shape, form, color, value, texture, space; design principles: balance, contrast, emphasis, movement, pattern, rhythm, unity.

Color theory: primary colors (red, yellow, blue in traditional pigment theory), secondary colors made by mixing two primaries, complementary pairs opposite on the color wheel.

Music elements: melody, rhythm, harmony, form, timbre, dynamics, tempo; the pentatonic scale (five pitches) suits early improvisation because it minimizes dissonance.

Creative drama and process drama build comprehension and oral language; performance differs from process in that it is rehearsed for an audience.

Health strands: nutrition, physical activity, injury prevention, mental/emotional health, personal hygiene, disease prevention; the five food groups are fruits, vegetables, grains, protein, dairy.

Fitness components: cardiorespiratory endurance, muscular strength, muscular endurance, flexibility, body composition; FITT = frequency, intensity, time, type.

Physical education skill themes progress from locomotor (run, hop, skip) to non-locomotor (balance, twist) to manipulative (throw, catch, strike); developmentally appropriate equipment and spacing reduce injury.

Safe practice: warm-up before activity, hydration, appropriate footwear, and progressive skill progression; heart rate rises during moderate-to-vigorous activity and should be monitored for exertion level.

Integrated arts and movement support memory and engagement; a lesson can address content standards while students draw, sing, or move to represent the concept.

Backward design: identify desired results (standards) → determine acceptable evidence (assessment) → plan learning experiences and instruction.

Formative assessment informs instruction during learning (exit tickets, questioning, observations); summative assessment measures achievement at the end (unit tests, projects).

Norm-referenced tests compare a student to peers (percentile rank, stanine); criterion-referenced tests compare performance to a fixed standard (proficiency levels).

Validity is whether a test measures what it claims; reliability is consistency across occasions and forms; a test can be reliable without being valid, but not valid without being reliable.

Differentiation adjusts content, process, or product based on readiness, interest, and learning profile; it is not a separate curriculum.

Bloom's revised taxonomy, low to high: remember, understand, apply, analyze, evaluate, create; align question stems and tasks to the intended cognitive level.

Cooperative learning structures (jigsaw, think-pair-share) require individual accountability and positive interdependence to be effective.

Universal Design for Learning: multiple means of representation, action and expression, and engagement; accommodations change how a student accesses content, modifications change what is expected.

Feedback is most effective when specific, timely, and focused on the task and process rather than on the learner's ability; grades should reflect achievement of standards, not behavior.

Epstein's six types of involvement: parenting, communicating, volunteering, learning at home, decision making, and collaborating with the community.

Effective home-school communication is two-way, proactive, frequent, and accessible (translated, plain language, multiple channels).

Families differ in structure, culture, language, and resources; deficit assumptions about families reduce participation and harm trust.

Conferences should be planned with data, student work samples, a clear agenda, and a shared goal; begin with strengths and invite family perspective.

Confidentiality: student records and family information are protected by FERPA; share only with those who have legitimate educational interest.

Community resources that support learning include libraries, museums, parks, health clinics, and local businesses; service learning connects curriculum to community needs.

Cultural brokers and interpreters support families who speak languages other than the school's language; avoid using the student as the interpreter for sensitive matters.

Barriers to involvement include scheduling, transportation, language, prior negative school experiences, and unclear invitations; removing a barrier is more effective than repeating the invitation.

Family involvement correlates with attendance, motivation, and achievement; the strongest link is through learning activities at home that families can actually do.

The professional code of conduct covers ethics, confidentiality, appropriate relationships, and reporting obligations; the educator's duty to students overrides personal convenience.

Mandated reporting: suspicion of abuse or neglect must be reported to the designated agency promptly; the teacher does not investigate or verify before reporting.

Legal foundations: FERPA (privacy of records), IDEA (free appropriate public education, IEP, least restrictive environment), Section 504 (accommodations for disability), Title I (federal funding for low-income schools).

An IEP team includes parents, general and special education teachers, an administrator, related-service providers, and the student when appropriate; placement decisions are made by the team, not unilaterally.

Professional development is continuous: reflective practice, peer observation, data teams, and professional learning communities improve instruction.

Ethical use of technology: protect student data, follow acceptable-use policies, obtain permission before publishing student images or work.

Collegiality includes collaborating with grade-level teams, supporting substitutes, and addressing conflicts directly and privately rather than in front of students.

Educators model academic integrity, punctuality, and respectful language; personal opinions on politics and religion should not be imposed on students.

Documentation matters: keep objective, dated records of incidents and communications; subjective labels in records create legal and ethical risk.