AEPA APK Elementary (NT051) study materials
AEPA APK Elementary (NT051) study resources

AEPA APK Elementary (NT051) cheat sheet

AEPA APK Elementary (NT051) · Keep the key ideas within reach.

Quick reference

Language Arts and Literacy

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

  • Phonological awareness is the umbrella skill of hearing and manipulating spoken sounds; phonemic awareness is its narrowest level, isolating individual phonemes.

  • The alphabetic principle is the understanding that letters and letter patterns map predictably onto speech sounds.

  • Fluency comprises accuracy, automaticity, and prosody; it is typically measured as correct words per minute plus expression.

  • The simple view of reading: reading comprehension = decoding × language comprehension, so a weakness in either factor limits comprehension.

  • Explicit, systematic phonics instruction is more effective than incidental or embedded phonics for beginning and struggling readers.

  • The writing process stages are planning, drafting, revising, editing, and publishing; revising addresses content and organization, editing addresses conventions.

  • Narrative text structure uses story grammar (characters, setting, initiating event, problem, resolution); expository text uses compare-contrast, cause-effect, sequence, description, and problem-solution structures.

  • A morpheme is the smallest unit of meaning (prefix, root, suffix); teaching morphology supports vocabulary and spelling beyond basic phonics.

Quick reference

Mathematics

  • Place value is base-ten positional: each place to the left is ten times the value of the place to its right.

  • The commutative and associative properties apply to addition and multiplication; the distributive property links multiplication over addition: a(b + c) = ab + ac.

  • Fraction equivalence: multiplying numerator and denominator by the same nonzero number yields an equivalent fraction; comparison requires a common numerator, denominator, or benchmark.

  • Multiplication of fractions: (a/b) × (c/d) = (ac)/(bd); division by a fraction is multiplication by its reciprocal.

  • Area of a rectangle = length × width; area of a triangle = ½ × base × height; circumference = πd; area of a circle = πr².

  • Volume of a rectangular prism = length × width × height; volume of a cylinder = πr²h.

  • Mean = sum ÷ number of values; median = middle value of ordered data; mode = most frequent value; range = maximum − minimum.

  • The probability of an event = favorable outcomes ÷ total equally likely outcomes, ranging from 0 to 1.

  • Customary conversions: 12 inches = 1 foot, 3 feet = 1 yard, 16 ounces = 1 pound; metric: 1,000 millimeters = 1 meter, 1,000 meters = 1 kilometer.

Quick reference

Science

  • The scientific method cycle: question, hypothesis, controlled experiment, data collection, analysis, conclusion, and communication of results.

  • In a controlled experiment the independent variable is manipulated, the dependent variable is measured, and all other variables are held constant.

  • Photosynthesis converts light energy, water, and carbon dioxide into glucose and oxygen inside chloroplasts using chlorophyll.

  • Cellular respiration releases energy from glucose using oxygen, producing carbon dioxide and water; it occurs in the mitochondria.

  • Food chains transfer energy from producers to consumers to decomposers; only about 10 percent of energy passes to the next trophic level.

  • The water cycle processes are evaporation, transpiration, condensation, precipitation, and collection/runoff.

  • Earth's rotation on its axis causes day and night; its revolution around the Sun causes the seasons, along with axial tilt.

  • Physical changes alter form or state without creating new substances; chemical changes produce new substances with different properties.

  • The three states of matter differ in particle spacing and motion: solids are closely packed and vibrate, liquids flow, gases expand to fill containers.

Quick reference

Social Studies

  • The three branches of U.S. government are legislative (makes laws), executive (enforces laws), and judicial (interprets laws); checks and balances limit each branch.

  • The Bill of Rights is the first ten amendments to the Constitution, ratified in 1791, protecting freedoms such as speech, religion, and due process.

  • Federalism divides power between national and state governments; the Tenth Amendment reserves unlisted powers to the states or the people.

  • The Declaration of Independence (1776) asserts natural rights to life, liberty, and the pursuit of happiness and justifies separation from Britain.

  • Map essentials: title, legend/key, scale, compass rose, and grid; latitude lines run east-west and measure distance north or south of the equator.

  • Absolute location uses coordinates (latitude and longitude); relative location describes position compared with other places.

  • The five themes of geography are location, place, human-environment interaction, movement, and region.

  • Major ancient river civilizations developed near water: Mesopotamia (Tigris-Euphrates), Egypt (Nile), India (Indus), China (Huang He).

  • Economic systems answer three questions: what to produce, how to produce it, and for whom; scarcity forces choices with opportunity costs.

Quick reference

The Arts

  • The elements of art are line, shape, form, color, value, texture, and space; the principles of design include balance, contrast, emphasis, movement, pattern, rhythm, and unity.

  • Primary colors (red, yellow, blue in traditional pigment theory) mix to form secondary colors (orange, green, violet); complementary colors lie opposite on the color wheel.

  • Warm colors (red, orange, yellow) advance visually; cool colors (blue, green, violet) recede.

  • The musical elements are rhythm, melody, harmony, form, texture, dynamics, and timbre; pitch is highness or lowness determined by frequency.

  • A quarter note receives one beat in 4/4 time; a half note receives two; a whole note receives four.

  • Instrument families are strings, woodwinds, brass, and percussion; the voice is classified as soprano, alto, tenor, or bass.

  • Drama conventions include plot, character, setting, dialogue, monologue, stage directions, and conflict; tableau is a frozen pose.

  • Dance elements are body, action, space, time, and energy (the BASTE framework).

Quick reference

Health

  • The six nutrients are carbohydrates, proteins, fats, vitamins, minerals, and water; carbohydrates are the body's primary energy source.

  • MyPlate divides the plate into fruits, vegetables, grains, protein foods, and dairy, with half the plate devoted to fruits and vegetables.

  • The FITT principle for fitness is Frequency, Intensity, Time, and Type of activity.

  • Aerobic activity strengthens the heart and lungs; resistance training builds muscular strength and endurance; stretching improves flexibility.

  • The five components of health-related fitness are cardiorespiratory endurance, muscular strength, muscular endurance, flexibility, and body composition.

  • Communicable diseases spread through pathogens via contact, airborne droplets, vectors, or contaminated food and water; handwashing is the most effective prevention.

  • The stages of grief described by Kübler-Ross are denial, anger, bargaining, depression, and acceptance.

  • Refusal skills include saying no clearly, giving a reason, suggesting an alternative, and leaving the situation.

Quick reference

Physical Education

  • The three learning domains in physical education are psychomotor (movement skills), cognitive (knowledge and strategy), and affective (attitudes and social skills).

  • Fundamental motor skills progress from stability (balance, twisting) to locomotor (running, skipping, hopping) to manipulative (throwing, catching, striking).

  • Motor development follows a cephalocaudal (head-to-toe) and proximodistal (center-to-outside) sequence.

  • A skill-related fitness component set includes agility, balance, coordination, power, reaction time, and speed.

  • The target heart rate range is roughly 60–80 percent of maximum heart rate; estimated maximum heart rate = 220 − age.

  • The principle of progression states that overload should increase gradually; specificity states that training effects are specific to the activity performed.

  • In a manipulative unit, teaching cues for throwing include stepping with the opposite foot, rotating the hips and shoulders, and following through toward the target.

  • A formative assessment in physical education might be a teacher checklist of skill cues; a summative assessment might be a rubric-scored game performance.

Quick reference

Language Arts and Literacy

  • Text complexity is judged by qualitative measures (structure, knowledge demands), quantitative measures (readability scores), and reader-task considerations.

  • Close reading involves repeated readings for key ideas, craft and structure, and integration of knowledge across texts.

  • Academic vocabulary tiers: Tier 1 basic words, Tier 2 high-frequency cross-content words, Tier 3 domain-specific terms.

  • Comprehension strategies include predicting, questioning, visualizing, summarizing, and monitoring; summarizing requires main idea plus key details.

  • The writing traits are ideas, organization, voice, word choice, sentence fluency, and conventions.

  • Phonemic awareness tasks include blending, segmenting, deleting, and substituting sounds; rhyming and syllable clapping are phonological but not phonemic.

  • A running record measures oral reading accuracy, error patterns, and fluency using a coded record of substitutions, omissions, and insertions.

  • Persuasive/argumentative writing requires a claim, supporting evidence, reasoning, and acknowledgment of counterclaims.

Quick reference

Mathematics

  • Order of operations: parentheses, exponents, multiplication and division left to right, addition and subtraction left to right.

  • The number line supports integer operations: adding a positive moves right, adding a negative moves left; subtracting a negative is adding a positive.

  • Ratios compare two quantities; a proportion states two ratios are equal and is solved by cross-multiplication.

  • Percent means per hundred; part = percent × whole, and percent change = (new − old) ÷ old.

  • Perimeter is the distance around a figure; the sum of interior angles of a triangle is 180 degrees, and of a quadrilateral 360 degrees.

  • The Pythagorean theorem applies to right triangles: a² + b² = c², where c is the hypotenuse.

  • A prime number has exactly two factors, 1 and itself; 1 is neither prime nor composite.

  • Rounding rules: look at the digit to the right of the target place; 5 or greater rounds up, less than 5 rounds down.

  • The coordinate plane has four quadrants; an ordered pair (x, y) gives horizontal position first, vertical second, from the origin.

Quick reference

Science

  • Newton's laws: an object at rest stays at rest unless acted on by a force; F = ma; every action has an equal and opposite reaction.

  • Energy forms include kinetic, potential, thermal, light, sound, electrical, and chemical; energy is conserved but transforms between forms.

  • Simple machines are lever, pulley, wheel and axle, inclined plane, wedge, and screw; they trade force for distance.

  • Conductors (metals, water with salts) allow heat and electricity to flow; insulators (rubber, wood, plastic) resist flow.

  • Electric circuits require a source, conductors, and a load; series circuits share one path, parallel circuits have multiple paths.

  • Adaptations are inherited traits that improve survival in an environment; natural selection favors those traits over generations.

  • The rock cycle includes igneous (cooled magma), sedimentary (compacted deposits), and metamorphic (heat and pressure) rock types.

  • Weather is short-term atmospheric condition; climate is long-term average pattern; the greenhouse effect traps heat in the atmosphere.

  • The scientific method is iterative and empirical; replicable results and peer review strengthen scientific claims.

Quick reference

Social Studies

  • The Constitution's structure: Preamble, seven Articles, and 27 amendments; the first three Articles establish the three branches.

  • The Great Compromise created a bicameral Congress: the House apportioned by population and the Senate with equal state representation.

  • The three-fifths compromise counted enslaved people as three-fifths of a person for representation and taxation.

  • The Louisiana Purchase (1803) doubled U.S. territory; the Lewis and Clark expedition mapped the new lands.

  • The Civil War (1861–1865) followed secession over slavery; the Emancipation Proclamation (1863) and 13th Amendment (1865) ended slavery.

  • The 14th Amendment guarantees equal protection and due process; the 15th protects voting rights regardless of race; the 19th grants women suffrage (1920).

  • The three economic sectors are primary (raw materials), secondary (manufacturing), and tertiary (services).

  • Supply and demand: as price rises, quantity supplied rises and quantity demanded falls; equilibrium is where the curves intersect.

  • Cultural universals include family, government, education, religion, and economy; culture includes both material and nonmaterial elements.

Quick reference

The Arts

  • The National Core Arts Standards use four artistic processes: creating, performing/presenting/producing, responding, and connecting.

  • Color value refers to lightness or darkness; tint adds white, shade adds black, and tone adds gray.

  • Perspective in drawing: one-point perspective uses a single vanishing point; atmospheric perspective reduces contrast and detail in the distance.

  • Musical form labels: AB (binary), ABA (ternary), and rondo (ABACA); a round is a canon sung in staggered imitation.

  • The treble clef spaces spell FACE and lines spell E-G-B-D-F; the bass clef spaces spell A-C-E-G and lines G-B-D-F-A.

  • In drama, blocking is planned stage movement; upstaging is drawing attention away from the focal actor.

  • In visual art, texture may be actual (tactile) or implied (visual); shape is two-dimensional and form is three-dimensional.

  • Dance genres include ballet, modern, jazz, tap, folk, and hip-hop; choreography is the art of composing movement sequences.

Quick reference

Health

  • The dimensions of wellness are physical, social, emotional/mental, intellectual, spiritual, and environmental.

  • The USDA dietary guidelines recommend limiting added sugars, saturated fat, and sodium while favoring whole grains, fruits, vegetables, and lean proteins.

  • Caloric balance: weight is maintained when calories consumed equal calories expended; a deficit promotes loss.

  • The body's first line of defense against infection includes skin, mucous membranes, and stomach acid; the immune system produces antibodies.

  • The leading causes of preventable death include tobacco use, poor diet, physical inactivity, and alcohol misuse.

  • Mental health warning signs include withdrawal, changes in sleep or appetite, and loss of interest; depression is treatable and not a personal weakness.

  • First aid for a minor burn is cool running water; for choking in a conscious child, use back blows and abdominal thrusts.

  • The stages of change model: precontemplation, contemplation, preparation, action, maintenance, and termination.

Quick reference

Physical Education

  • The FITT-VP principle adds Volume and Progression to Frequency, Intensity, Time, and Type.

  • A warm-up raises core temperature and prepares muscles; a cool-down returns heart rate toward resting and reduces stiffness.

  • The BMI formula is weight in kilograms divided by height in meters squared; it is a screening tool, not a diagnosis.

  • The sit-and-reach test measures flexibility; the PACER or mile run measures cardiorespiratory endurance; curl-ups measure muscular endurance.

  • The principle of reversibility: fitness gains are lost when training stops.

  • In a game unit, modified games (small-sided) increase participation and skill repetitions compared with full-sided play.

  • Locomotor skills include walk, run, jump, hop, skip, gallop, slide, and leap; nonlocomotor skills include bend, twist, and stretch.

  • The psychomotor domain taxonomy (from simple to complex) is reflex, fundamental movement, perceptual abilities, physical abilities, skilled movement, and nondiscursive communication.

Quick reference

Language Arts and Literacy

  • Narrative point of view: first person (I), second person (you), third limited (one character's thoughts), and third omniscient (all characters' thoughts).

  • Figurative language types: simile (like/as), metaphor (direct comparison), personification, hyperbole, idiom, and onomatopoeia.

  • The main idea is the central point of a passage; supporting details explain, illustrate, or prove it.

  • Text features in informational text include headings, captions, bold print, glossaries, indexes, and diagrams; they support navigation and understanding.

  • Author's purpose is commonly described as persuade, inform, entertain, or explain/describe.

  • A thesis statement presents the central claim of an essay and typically appears in the introduction.

  • Context clues include definition, example, synonym, antonym, and inference clues to determine word meaning.

  • The alphabetic principle plus phonemic awareness plus fluency are prerequisites for strong reading comprehension.

Quick reference

Mathematics

  • A factor is a number that divides evenly into another; a multiple is the product of a number and an integer.

  • Greatest common factor is the largest shared factor; least common multiple is the smallest shared multiple.

  • The distributive property supports mental math: 7 × 14 = 7(10 + 4) = 70 + 28 = 98.

  • Equivalent fractions, decimals, and percents: ½ = 0.5 = 50 percent; ¼ = 0.25 = 25 percent; ⅕ = 0.2 = 20 percent.

  • The area model represents multiplication of multi-digit numbers and of fractions by partitioning rectangles.

  • A line plot displays data on a number line; a histogram groups continuous data into intervals; a box plot shows median and quartiles.

  • The slope of a line is rise over run; a linear equation is y = mx + b, with m as slope and b as y-intercept.

  • The mean absolute deviation measures average distance of data points from the mean; a larger value indicates greater spread.

  • Integer multiplication and division: like signs give a positive product or quotient; unlike signs give a negative.

Quick reference

Science

  • The solar system's planets in order from the Sun are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune.

  • The Moon's phases result from its changing position relative to Earth and the Sun; a full cycle takes about 29.5 days.

  • Earth's layers are crust, mantle, outer core, and inner core; the outer core is liquid and generates the magnetic field.

  • Plate tectonics: divergent boundaries create new crust, convergent boundaries create mountains or subduction zones, and transform boundaries cause earthquakes.

  • The three main cloud types are cirrus (high, wispy), stratus (layered), and cumulus (puffy); cumulonimbus produce thunderstorms.

  • The scientific method begins with a testable question and a hypothesis; a hypothesis must be falsifiable.

  • Inherited traits come from genes; acquired traits come from environment and experience; dominant alleles mask recessive ones.

  • The water cycle is powered by the Sun's energy and gravity.

Quick reference

Social Studies

  • The Constitution's Preamble begins 'We the People' and lists six purposes of government, including forming a more perfect union and securing liberty.

  • The Bill of Rights protections include the First Amendment freedoms of speech, press, assembly, petition, and religion.

  • The 4th Amendment protects against unreasonable searches; the 5th protects against self-incrimination; the 6th guarantees a speedy public trial.

  • The three levels of government are federal, state, and local; each has legislative, executive, and judicial functions.

  • The U.S. economy is a mixed market economy with private ownership and government regulation.

  • The three branches check each other: veto, override, judicial review, appointment confirmation, and impeachment.

  • Themes of geography: location, place, human-environment interaction, movement, and region.

  • The Great Migration was the movement of African Americans from the rural South to Northern and Western cities during the 20th century.

Quick reference

The Arts

  • The elements of music are rhythm, melody, harmony, form, texture, dynamics, and timbre.

  • Dynamics terms from soft to loud: pianissimo, piano, mezzo-piano, mezzo-forte, forte, fortissimo.

  • Tempo terms: adagio (slow), andante (walking pace), moderato (moderate), allegro (fast), presto (very fast).

  • In visual art, the color wheel organizes hues; analogous colors are adjacent, and triadic colors are evenly spaced.

  • A still life depicts inanimate objects; a landscape depicts natural scenery; a portrait depicts a person.

  • In theatre, a monologue is a long speech by one character; a soliloquy reveals inner thoughts to the audience.

  • Dance elements: body, action, space, time, and energy; locomotor and nonlocomotor movements are foundational.

  • The National Core Arts Standards anchor standard categories are creating, performing/presenting/producing, responding, and connecting.

Quick reference

Health

  • The six nutrients: carbohydrates, proteins, fats, vitamins, minerals, and water.

  • MyPlate: half the plate fruits and vegetables; grains and proteins fill the rest; dairy accompanies the meal.

  • FITT principle: Frequency, Intensity, Time, and Type of physical activity.

  • Health-related fitness components: cardiorespiratory endurance, muscular strength, muscular endurance, flexibility, and body composition.

  • Communicable disease prevention: handwashing, covering coughs, vaccination, and safe food handling.

  • Kübler-Ross grief stages: denial, anger, bargaining, depression, and acceptance.

  • Refusal skills: say no firmly, give a reason, suggest an alternative, and leave.

  • The stages of change: precontemplation, contemplation, preparation, action, maintenance, and termination.

Quick reference

Physical Education

  • Psychomotor domain in PE: reflex, fundamental movement, perceptual abilities, physical abilities, skilled movement, and nondiscursive communication.

  • Fundamental motor skills: stability (balance, twisting), locomotor (run, skip, hop), manipulative (throw, catch, strike).

  • Motor development is cephalocaudal (head to toe) and proximodistal (center to outside).

  • Skill-related fitness: agility, balance, coordination, power, reaction time, and speed.

  • Target heart rate: 60–80 percent of maximum heart rate; estimated maximum heart rate = 220 − age.

  • Training principles: overload, progression, specificity, reversibility.

  • Throwing cues: step with the opposite foot, rotate hips and shoulders, follow through toward the target.

  • Formative assessment in PE: teacher checklist of skill cues; summative assessment: rubric-scored game performance.

Quick reference

Language Arts and Literacy

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

  • Phonological awareness is the broad skill of hearing and manipulating spoken sounds; phonemic awareness isolates individual phonemes.

  • The alphabetic principle: letters and letter patterns map predictably to speech sounds.

  • Fluency includes accuracy, automaticity, and prosody; it is measured by correct words per minute plus expression.

  • Simple view of reading: reading comprehension = decoding × language comprehension.

  • Explicit, systematic phonics is more effective than incidental phonics for beginning and struggling readers.

  • Writing process: planning, drafting, revising, editing, and publishing.

  • Narrative text uses story grammar; expository text uses compare-contrast, cause-effect, sequence, description, and problem-solution structures.

  • A morpheme is the smallest unit of meaning; teaching morphology supports vocabulary and spelling beyond basic phonics.

Quick reference

Mathematics

  • Place value is base-ten positional: each place to the left is ten times the value of the place to its right.

  • Commutative and associative properties apply to addition and multiplication; the distributive property links multiplication over addition: a(b + c) = ab + ac.

  • Fraction equivalence: multiplying numerator and denominator by the same nonzero number yields an equivalent fraction.

  • Multiplication of fractions: (a/b) × (c/d) = (ac)/(bd); division by a fraction is multiplication by its reciprocal.

  • Area of a rectangle = length × width; area of a triangle = ½ × base × height; circumference = πd; area of a circle = πr².

  • Volume of a rectangular prism = length × width × height; volume of a cylinder = πr²h.

  • Mean = sum ÷ number of values; median = middle value of ordered data; mode = most frequent value; range = maximum − minimum.

  • Probability of an event = favorable outcomes ÷ total equally likely outcomes, ranging from 0 to 1.

  • Customary conversions: 12 inches = 1 foot, 3 feet = 1 yard, 16 ounces = 1 pound; metric: 1,000 millimeters = 1 meter, 1,000 meters = 1 kilometer.

Quick reference

Science

  • Scientific method cycle: question, hypothesis, controlled experiment, data collection, analysis, conclusion, and communication of results.

  • In a controlled experiment the independent variable is manipulated, the dependent variable is measured, and all other variables are held constant.

  • Photosynthesis converts light energy, water, and carbon dioxide into glucose and oxygen inside chloroplasts using chlorophyll.

  • Cellular respiration releases energy from glucose using oxygen, producing carbon dioxide and water; it occurs in the mitochondria.

  • Food chains transfer energy from producers to consumers to decomposers; only about 10 percent of energy passes to the next trophic level.

  • Water cycle processes: evaporation, transpiration, condensation, precipitation, and collection/runoff.

  • Earth's rotation on its axis causes day and night; its revolution around the Sun causes the seasons, along with axial tilt.

  • Physical changes alter form or state without creating new substances; chemical changes produce new substances with different properties.

  • The three states of matter differ in particle spacing and motion: solids are closely packed and vibrate, liquids flow, gases expand to fill containers.

Quick reference

Social Studies

  • The three branches of U.S. government are legislative (makes laws), executive (enforces laws), and judicial (interprets laws); checks and balances limit each branch.

  • The Bill of Rights is the first ten amendments to the Constitution, ratified in 1791, protecting freedoms such as speech, religion, and due process.

  • Federalism divides power between national and state governments; the Tenth Amendment reserves unlisted powers to the states or the people.

  • The Declaration of Independence (1776) asserts natural rights to life, liberty, and the pursuit of happiness and justifies separation from Britain.

  • Map essentials: title, legend/key, scale, compass rose, and grid; latitude lines run east-west and measure distance north or south of the equator.

  • Absolute location uses coordinates (latitude and longitude); relative location describes position compared with other places.

  • The five themes of geography are location, place, human-environment interaction, movement, and region.

  • Major ancient river civilizations developed near water: Mesopotamia (Tigris-Euphrates), Egypt (Nile), India (Indus), China (Huang He).

  • Economic systems answer three questions: what to produce, how to produce it, and for whom; scarcity forces choices with opportunity costs.

Quick reference

The Arts

  • The elements of art are line, shape, form, color, value, texture, and space; the principles of design include balance, contrast, emphasis, movement, pattern, rhythm, and unity.

  • Primary colors (red, yellow, blue in traditional pigment theory) mix to form secondary colors (orange, green, violet); complementary colors lie opposite on the color wheel.

  • Warm colors (red, orange, yellow) advance visually; cool colors (blue, green, violet) recede.

  • The musical elements are rhythm, melody, harmony, form, texture, dynamics, and timbre; pitch is highness or lowness determined by frequency.

  • A quarter note receives one beat in 4/4 time; a half note receives two; a whole note receives four.

  • Instrument families are strings, woodwinds, brass, and percussion; the voice is classified as soprano, alto, tenor, or bass.

  • Drama conventions include plot, character, setting, dialogue, monologue, stage directions, and conflict; tableau is a frozen pose.

  • Dance elements are body, action, space, time, and energy (the BASTE framework).

Quick reference

Health

  • The six nutrients are carbohydrates, proteins, fats, vitamins, minerals, and water; carbohydrates are the body's primary energy source.

  • MyPlate divides the plate into fruits, vegetables, grains, protein foods, and dairy, with half the plate devoted to fruits and vegetables.

  • The FITT principle for fitness is Frequency, Intensity, Time, and Type of activity.

  • Aerobic activity strengthens the heart and lungs; resistance training builds muscular strength and endurance; stretching improves flexibility.

  • The five components of health-related fitness are cardiorespiratory endurance, muscular strength, muscular endurance, flexibility, and body composition.

  • Communicable diseases spread through pathogens via contact, airborne droplets, vectors, or contaminated food and water; handwashing is the most effective prevention.

  • The stages of grief described by Kübler-Ross are denial, anger, bargaining, depression, and acceptance.

  • Refusal skills include saying no clearly, giving a reason, suggesting an alternative, and leaving the situation.

Quick reference

Physical Education

  • The three learning domains in physical education are psychomotor (movement skills), cognitive (knowledge and strategy), and affective (attitudes and social skills).

  • Fundamental motor skills progress from stability (balance, twisting) to locomotor (running, skipping, hopping) to manipulative (throwing, catching, striking).

  • Motor development follows a cephalocaudal (head-to-toe) and proximodistal (center-to-outside) sequence.

  • A skill-related fitness component set includes agility, balance, coordination, power, reaction time, and speed.

  • The target heart rate range is roughly 60–80 percent of maximum heart rate; estimated maximum heart rate = 220 − age.

  • The principle of progression states that overload should increase gradually; specificity states that training effects are specific to the activity performed.

  • In a manipulative unit, teaching cues for throwing include stepping with the opposite foot, rotating the hips and shoulders, and following through toward the target.

  • A formative assessment in physical education might be a teacher checklist of skill cues; a summative assessment might be a rubric-scored game performance.

Quick reference

Language Arts and Literacy

  • Text complexity is judged by qualitative measures (structure, knowledge demands), quantitative measures (readability scores), and reader-task considerations.

  • Close reading involves repeated readings for key ideas, craft and structure, and integration of knowledge across texts.

  • Academic vocabulary tiers: Tier 1 basic words, Tier 2 high-frequency cross-content words, Tier 3 domain-specific terms.

  • Comprehension strategies include predicting, questioning, visualizing, summarizing, and monitoring; summarizing requires main idea plus key details.

  • The writing traits are ideas, organization, voice, word choice, sentence fluency, and conventions.

  • Phonemic awareness tasks include blending, segmenting, deleting, and substituting sounds; rhyming and syllable clapping are phonological but not phonemic.

  • A running record measures oral reading accuracy, error patterns, and fluency using a coded record of substitutions, omissions, and insertions.

  • Persuasive/argumentative writing requires a claim, supporting evidence, reasoning, and acknowledgment of counterclaims.

Quick reference

Mathematics

  • Order of operations: parentheses, exponents, multiplication and division left to right, addition and subtraction left to right.

  • The number line supports integer operations: adding a positive moves right, adding a negative moves left; subtracting a negative is adding a positive.

  • Ratios compare two quantities; a proportion states two ratios are equal and is solved by cross-multiplication.

  • Percent means per hundred; part = percent × whole, and percent change = (new − old) ÷ old.

  • Perimeter is the distance around a figure; the sum of interior angles of a triangle is 180 degrees, and of a quadrilateral 360 degrees.

  • The Pythagorean theorem applies to right triangles: a² + b² = c², where c is the hypotenuse.

  • A prime number has exactly two factors, 1 and itself; 1 is neither prime nor composite.

  • Rounding rules: look at the digit to the right of the target place; 5 or greater rounds up, less than 5 rounds down.

  • The coordinate plane has four quadrants; an ordered pair (x, y) gives horizontal position first, vertical second, from the origin.

Quick reference

Science

  • Newton's laws: an object at rest stays at rest unless acted on by a force; F = ma; every action has an equal and opposite reaction.

  • Energy forms include kinetic, potential, thermal, light, sound, electrical, and chemical; energy is conserved but transforms between forms.

  • Simple machines are lever, pulley, wheel and axle, inclined plane, wedge, and screw; they trade force for distance.

  • Conductors (metals, water with salts) allow heat and electricity to flow; insulators (rubber, wood, plastic) resist flow.

  • Electric circuits require a source, conductors, and a load; series circuits share one path, parallel circuits have multiple paths.

  • Adaptations are inherited traits that improve survival in an environment; natural selection favors those traits over generations.

  • The rock cycle includes igneous (cooled magma), sedimentary (compacted deposits), and metamorphic (heat and pressure) rock types.

  • Weather is short-term atmospheric condition; climate is long-term average pattern; the greenhouse effect traps heat in the atmosphere.

  • The scientific method is iterative and empirical; replicable results and peer review strengthen scientific claims.

Quick reference

Social Studies

  • The Constitution's structure: Preamble, seven Articles, and 27 amendments; the first three Articles establish the three branches.

  • The Great Compromise created a bicameral Congress: the House apportioned by population and the Senate with equal state representation.

  • The three-fifths compromise counted enslaved people as three-fifths of a person for representation and taxation.

  • The Louisiana Purchase (1803) doubled U.S. territory; the Lewis and Clark expedition mapped the new lands.

  • The Civil War (1861–1865) followed secession over slavery; the Emancipation Proclamation (1863) and 13th Amendment (1865) ended slavery.

  • The 14th Amendment guarantees equal protection and due process; the 15th protects voting rights regardless of race; the 19th grants women suffrage (1920).

  • The three economic sectors are primary (raw materials), secondary (manufacturing), and tertiary (services).

  • Supply and demand: as price rises, quantity supplied rises and quantity demanded falls; equilibrium is where the curves intersect.

  • Cultural universals include family, government, education, religion, and economy; culture includes both material and nonmaterial elements.

Quick reference

The Arts

  • The National Core Arts Standards use four artistic processes: creating, performing/presenting/producing, responding, and connecting.

  • Color value refers to lightness or darkness; tint adds white, shade adds black, and tone adds gray.

  • Perspective in drawing: one-point perspective uses a single vanishing point; atmospheric perspective reduces contrast and detail in the distance.

  • Musical form labels: AB (binary), ABA (ternary), and rondo (ABACA); a round is a canon sung in staggered imitation.

  • The treble clef spaces spell FACE and lines spell E-G-B-D-F; the bass clef spaces spell A-C-E-G and lines G-B-D-F-A.

  • In drama, blocking is planned stage movement; upstaging is drawing attention away from the focal actor.

  • In visual art, texture may be actual (tactile) or implied (visual); shape is two-dimensional and form is three-dimensional.

  • Dance genres include ballet, modern, jazz, tap, folk, and hip-hop; choreography is the art of composing movement sequences.

Quick reference

Health

  • The dimensions of wellness are physical, social, emotional/mental, intellectual, spiritual, and environmental.

  • The USDA dietary guidelines recommend limiting added sugars, saturated fat, and sodium while favoring whole grains, fruits, vegetables, and lean proteins.

  • Caloric balance: weight is maintained when calories consumed equal calories expended; a deficit promotes loss.

  • The body's first line of defense against infection includes skin, mucous membranes, and stomach acid; the immune system produces antibodies.

  • The leading causes of preventable death include tobacco use, poor diet, physical inactivity, and alcohol misuse.

  • Mental health warning signs include withdrawal, changes in sleep or appetite, and loss of interest; depression is treatable and not a personal weakness.

  • First aid for a minor burn is cool running water; for choking in a conscious child, use back blows and abdominal thrusts.

  • The stages of change model: precontemplation, contemplation, preparation, action, maintenance, and termination.

Quick reference

Physical Education

  • The FITT-VP principle adds Volume and Progression to Frequency, Intensity, Time, and Type.

  • A warm-up raises core temperature and prepares muscles; a cool-down returns heart rate toward resting and reduces stiffness.

  • The BMI formula is weight in kilograms divided by height in meters squared; it is a screening tool, not a diagnosis.

  • The sit-and-reach test measures flexibility; the PACER or mile run measures cardiorespiratory endurance; curl-ups measure muscular endurance.

  • The principle of reversibility: fitness gains are lost when training stops.

  • In a game unit, modified games (small-sided) increase participation and skill repetitions compared with full-sided play.

  • Locomotor skills include walk, run, jump, hop, skip, gallop, slide, and leap; nonlocomotor skills include bend, twist, and stretch.

  • The psychomotor domain taxonomy (from simple to complex) is reflex, fundamental movement, perceptual abilities, physical abilities, skilled movement, and nondiscursive communication.