This free CSET study guide walks through every domain the California Subject Examinations for Teachers tests for the multiple-subject (elementary) credential, organized by the same three subtests the exam uses.[5]
It’s interactive, not a wall of text: every subtest has built-in checkpoint quizzes, flashcards, and practice questions, so you learn by doing — not just reading.
Because each subtest is scored separately, study one at a time, test yourself at each checkpoint, then drill gaps with our free practice test and flashcards. This guide is a high-yield overview that maps the official content — not a full textbook for seven school subjects.
CSET Exam Snapshot
| Subtest | Domains | Questions | Time |
|---|---|---|---|
| Subtest I (101) | Reading/Language/Literature; History/Social Science | 52 MC + 4 CR | 3 hours |
| Subtest II (214) | Science; Mathematics | 52 MC + 4 CR | 3 hours |
| Subtest III (225) | PE; Human Development; Visual & Performing Arts | 39 MC + 3 CR | 2 hr 15 min |
Each subtest is scored on a 100–300 scale, and 220 passes — independently. The score is 70% multiple-choice and 30% constructed-response. You only retake the subtest(s) you don’t pass.[5][10]
Subtest I · Reading, Language & Literature and History & Social Science
Subtest I (code 101) — 52 multiple-choice + 4 constructed-response, 3 hours. Two domains: the literacy and language strand, and the history and social-science strand.
1.1 Reading, Language & Literature
Reading, Language and Literature is one half of CSET Subtest I (Test 101): 26 multiple-choice plus 2 constructed-response questions, scored 70 percent MC and 30 percent CRQ.[6] The single densest, most-tested cluster is early literacy, and the trap is that this section tests how to TEACH reading, not just your own comprehension.
Most items are definition-to-vocabulary matching: the stem describes a classroom activity and asks for the precise technical term. Master the jargon, especially the look-alike pairs ( vs , segmenting vs blending, vs ).
The five language systems (and why they matter)
Linguists describe language with five interlocking systems. The exam asks you to name which one a scenario illustrates, so learn the mnemonic Please May Susan See Pancakes (, , , , ).[6]
Morphology is high-yield: a is the smallest unit of meaning. Free morphemes stand alone (cat, run); bound morphemes cannot (the prefix un-, the suffix -ed). The word cats has two morphemes: cat plus the plural -s.
A pragmatics example: saying Can you pass the salt is grammatically a question but functions socially as a request. Recognizing intended social meaning, not literal form, is pragmatics.
| System | What it governs | Example |
|---|---|---|
| Phonology | The sound system; individual phonemes | The /b/ and /p/ sounds distinguish bat from pat |
| Morphology | Word structure; morphemes (free and bound) | un- + happy + -ness = unhappiness (3 morphemes) |
| Syntax | Sentence structure and word order | The dog bit the man differs from The man bit the dog |
| Semantics | Meaning of words and sentences | bank can mean riverbank or a money bank |
| Pragmatics | Language use in social context | It is cold in here used as a request to close a window |
Phonological awareness, phonemic awareness, and phonics
This is the densest tested cluster, and the three terms are deliberate look-alike traps. Phonological awareness is the broad umbrella: sensitivity to any sound unit, including rhyme, syllables, and .[14]
Phonemic awareness is the narrowest band of that umbrella: hearing and manipulating individual s (sounds) only. It is purely oral, with no print at all, often described as an eyes-closed skill.[14]
Phonics is different from both because it involves PRINT: it maps sounds to letters, the . If letters are involved, it is phonics, not phonemic awareness.
Phonemic awareness is the strongest single predictor of early reading success (cite Adams and Stanovich on the CRQ). The named assessment tool to memorize is the .
- Onset-rime: in cat, the onset is /k/ and the rime is /at/ (a larger unit than a single phoneme).
- Skill-difficulty order (easiest to hardest): rhyme/isolation, then blending, then segmenting, then deletion/manipulation.
- Blending: combine /k/ /a/ /t/ to say cat. Segmenting: break cat into /k/ /a/ /t/.
- Alphabetic principle: letters represent predictable, systematic sounds; it is the bridge from phonemic awareness into phonics and decoding.
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Rhyme and isolation: hear that cat and hat rhyme; name the first sound in sun
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Blending: combine spoken sounds /k/ /a/ /t/ into the word cat
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Segmenting: break the spoken word cat into /k/ /a/ /t/
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Deletion and manipulation: say cat without the /k/, or swap sounds to make new words
Reading development: decoding, fluency, vocabulary, comprehension
Think of reading development as a rope of strands woven in sequence: phonemic awareness leads to , then , then vocabulary, then comprehension. A breakdown in any earlier strand limits comprehension.[14]
Decoding is sounding out print using sound-symbol relationships. Word recognition becomes automatic so attention is freed for meaning.
Fluency has exactly three indicators to memorize: accuracy, rate, and . Prosody is reading with expression and natural phrasing, and it is the most-tested of the three because candidates forget it.
- Denotative meaning = the literal dictionary definition (home = a place where one lives).
- Connotative meaning = the emotional or associative overtone (home implies warmth and belonging; house does not).
- Contextual analysis = using surrounding words to infer an unknown word's meaning.
- Comprehension strategies tested: predicting, questioning, summarizing, inferring, monitoring/clarifying, and activating prior (background) knowledge.
Literature: genres and literary devices
Genre questions span fiction (novels, short stories), folktales and fairy tales, myths, drama, and poetry, with special attention to children's literature and diverse cultures.[14] Theme is the central message or insight; is the narrative vantage (first person uses I, third-person omniscient knows all characters' thoughts).
The most-tested device distinction is versus . A simile compares using like or as (brave as a lion); a metaphor states the comparison directly with no like or as (he is a lion). This pair appears in both MC and the constructed response.
Word choice (diction) shapes (the author's attitude) and (the feeling created in the reader). A CRQ pattern asks you to analyze how a passage's metaphor produces its mood or tone.
| Device | Definition | Example |
|---|---|---|
| Simile | Comparison using like or as | Her smile was like sunshine |
| Metaphor | Direct comparison, no like or as | Time is a thief |
| Personification | Human traits given to nonhuman things | The wind whispered through the trees |
| Alliteration | Repeated initial consonant sounds | Peter Piper picked peppers |
| Hyperbole | Deliberate exaggeration | I have told you a million times |
| Onomatopoeia | Word imitates a sound | buzz, hiss, clang |
| Symbolism | An object stands for a larger idea | A dove symbolizes peace |
Grammar, conventions, and the writing process
Conventions covers sentence structure, usage, spelling, capitalization, and punctuation.[14] Know sentence types by clause structure: a simple sentence has one independent clause; compound joins two independent clauses (often with a comma plus and/but/or); complex joins an independent clause with a dependent clause.
Writing is taught as a recursive , not a single draft. The CRQ may ask you to identify writer techniques in a persuasive essay or to analyze a student's spelling errors as a phonics or morphology diagnostic.
The three core genres of composition are arguments (a claim backed by valid reasoning and sufficient evidence), informative/explanatory texts (including business letters and job applications), and narratives (real or imagined events with descriptive detail and a clear sequence).
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Prewriting: brainstorm and plan using graphic organizers, outlines, and notes
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Drafting: get ideas down without worrying about perfection
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Revising: improve content, organization, transitions, and word choice (big-picture changes)
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Editing: fix grammar, spelling, capitalization, and punctuation (surface conventions)
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Publishing: share the final piece, possibly using technology
Language acquisition and text complexity
Distinguish first-language development from second-language (L2) acquisition. Interlanguage is a normal developmental stage where an L2 learner's errors reflect first-language transfer; do not mistake typical L2 features for a learning disability.
Text complexity is evaluated three ways, and naming the right one is a common trap. Quantitative measures are computer-scored (word length, sentence length, readability formulas). Qualitative dimensions require human judgment (levels of meaning, structure, language clarity, knowledge demands).[14]
The third factor is reader and task: matching a text to a specific reader's background, motivation, and skill, and to the purpose of the assignment. A question that asks about a reader's motivation is pointing to reader-and-task, not the quantitative score.
| Lens | Who or what judges it | Examples of factors |
|---|---|---|
| Quantitative | Computer / readability formula | Word length, sentence length, Lexile score |
| Qualitative | Human judgment | Levels of meaning, text structure, language clarity, knowledge demands |
| Reader and task | Teacher matching text to student | Reader background, motivation, skill, and the purpose of the assignment |
1.2 History & Social Science
History and Social Science is the second half of CSET Subtest I, worth 26 multiple-choice questions and 2 constructed-response questions (CRQs) alongside Reading, Language and Literature. The official content is organized into three Subject Matter Requirement domains: World History, United States History, and California History, plus a Part II skills section covering geography, civics, economics, and source analysis.[6]
The hidden trap is breadth: candidates underprepare because it is only part of one subtest, then face questions spanning the ancient world through modern California. This guide teaches the highest-yield eras, figures, dates, and concepts so you can earn points fast and write CRQs as a teacher.[5]
World History: Ancient Civilizations and the European Pivot
Ancient civilizations are the single biggest world-history chunk on the exam. The core idea tested is that drove civilization: reliable water plus arable soil created farming surpluses, which freed people to build cities, specialize in trades, and invent writing.[22]
Memorize the eight named civilizations and one signature contribution each. Rome appears most often, and its decline is a favorite item: political instability, reliance on mercenaries, and overexpansion all weakened the Western Empire.
After Rome fell, arose in both medieval Europe and Japan, a frequently tested parallel where land was exchanged for military service in a strict social hierarchy. Islam (founded in Arabia) and Christianity both spread widely, carrying trade and learning across continents.[22]
The high-yield European storyline runs to to early capitalism, alongside the growth of representative democracy from the in 1215 through the . The is the classic example of linking China to the Mediterranean.[22]
| Civilization | Geography | Signature contribution |
|---|---|---|
| Mesopotamia | Tigris and Euphrates (Fertile Crescent) | Cuneiform writing, Code of Hammurabi, the wheel |
| Egypt | Nile River flooding deposits silt | Hieroglyphics, pyramids, geometry |
| Kush | Nubia, south of Egypt | Ironworking, regional trade |
| Hebrews | Eastern Mediterranean (Canaan) | Monotheism and Judaism |
| Greece | Mountainous peninsula, Aegean Sea | Athenian democracy, philosophy, drama |
| India | Indus and Ganges valleys | Hinduism and Buddhism, concept of zero |
| China | Huang He (Yellow River) valley | Paper, silk, Confucianism |
| Rome | Italian peninsula, Mediterranean | Republic, Roman law, roads and aqueducts |
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Reliable river water plus arable, silt-rich soil
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Farming produces a food surplus
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Surplus frees people from farming, enabling specialized trades
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People cluster into cities and develop social hierarchy
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Record-keeping needs drive the invention of writing
United States History: Founding, Civics, and the Civil War

Colonization motives were religious, economic, and political: New England drew settlers seeking religious freedom, while the South was driven by cash crops and economic opportunity. The institution of African slavery developed across the Western Hemisphere with lasting consequences.[22]
The (1776) rests on Enlightenment ideas from : , consent of the governed, and . France was the decisive ally that helped secure American victory in the War for Independence.[22]
The failed because the national government could not tax and had no executive, prompting the 1787 Constitution and the Bill of Rights (first ten amendments, ratified 1791). Know four principles cold: , , , and .[22]
Civil War causes were economic, social, and political, including constitutional fights over nullification and secession. The Union held advantages in population, industry, and navy; the Confederacy relied on military leadership and defending home soil. Reconstruction was abandoned, giving rise to segregation.[22]
- Three branches of government: legislative (makes laws), executive (enforces laws), judicial (interprets laws).
- Separation of powers divides government into those three branches so no one branch dominates.
- Federalism divides power between the national government and the states.
- Checks and balances let each branch limit the others (for example, presidential veto and judicial review).
| Year | Event | Why it matters |
|---|---|---|
| 1215 | Magna Carta | First major limit on a ruler's power; seed of representative democracy |
| 1776 | Declaration of Independence | Asserts natural rights and consent of the governed |
| 1781 | Articles of Confederation in effect | First U.S. government; too weak (no tax power, no executive) |
| 1787 | U.S. Constitution drafted | Establishes the three branches and federalism |
| 1791 | Bill of Rights ratified | First ten amendments protecting individual liberties |
California History: Missions to Statehood
California is its own narrow, predictable, and often underprepared domain, so it is high-leverage points. The consensus memory hook is a five-step chain: Missions to Mexico to War to Gold to Statehood.[22]
Indigenous peoples adapted to California's varied geography of mountains, valleys, and coast. Spanish colonization established the , which shaped the early agricultural economy before Mexican rule took over.[22]
The U.S.-Mexican War ended with the in 1848, ceding California to the United States. The of 1848 to 1849 reshaped the state, and the exam often asks about its negative impact on American Indians and Mexican nationals, not just the boomtown story.[22]
California reached statehood in 1850. Memorize the Progressive-era reforms in the state constitution: , , and , which let voters propose laws, approve or reject them, and remove officials. Also know the north-to-south water-delivery system that agriculture depends on.[22]
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Indigenous peoples adapt to regional geography and climate
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Spanish exploration and the mission, presidio, and pueblo system
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Mexican rule over California
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U.S.-Mexican War ends with the Treaty of Guadalupe Hidalgo, 1848
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Gold Rush of 1848 to 1849 transforms population and economy
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California statehood in 1850 and Progressive reforms: initiative, referendum, recall
Civics and Government: Concepts You Must Name
Part II tests political science as definition-to-vocabulary matching: a scenario describes a system, and you pick its label. Drill the forms of government and the core ideas behind American democracy rather than memorizing trivia.[23]
Citizenship has both rights (voting, free speech, due process) and responsibilities (obeying laws, serving on juries, paying taxes, staying informed). Expect questions on how citizens participate through the three branches.[22]
Distinguish (the ability to act) from (the legitimate right to act). The Constitution grants , meaning officials may only do what the law permits, protecting individual liberty.[22]
| Form | Who holds power |
|---|---|
| Monarchy | A single hereditary ruler (king or queen) |
| Totalitarianism | The state controls nearly all aspects of life |
| Republicanism | Citizens elect representatives to govern for them |
| Democracy | Power rests with the people, directly or through elections |
| Limited government | Government power is restricted by law and a constitution |
Economics and Geography Basics
Economics begins with : resources are limited but wants are unlimited, which forces choices. Every choice carries an , the value of the next-best alternative you gave up.[22]
set price at , where the quantity buyers want equals the quantity sellers offer. Distinguish (government taxing and spending) from (a central bank controlling the money supply).[22]
Geography is tested through map and globe skills: locate places using , the equator and prime meridian, hemispheres, the tropics, time zones, and the international date line. Know the , especially human-environment interaction and cultural diffusion.[23]
You must also read primary versus secondary sources. A is a firsthand record (a letter, photograph, or artifact); a interprets primary evidence after the fact (a textbook). Expect to evaluate point of view and bias.[23]
- Scarcity: limited resources versus unlimited wants forces trade-offs.
- Opportunity cost: the next-best alternative given up by a choice.
- Supply and demand: interact to set the equilibrium price.
- Circular-flow model: households and firms exchange goods, services, and money.
- Latitude lines run east-west and measure distance north or south of the equator; longitude lines run north-south from the prime meridian.
| Feature | Primary source | Secondary source |
|---|---|---|
| Definition | Firsthand, original record of an event | After-the-fact interpretation of evidence |
| Created by | A witness or participant | An author analyzing primary material |
| Examples | Letter, diary, photograph, artifact, speech | Textbook, biography, encyclopedia, review article |
| Exam use | Evaluate point of view and bias | Identify the interpretation being made |
Checkpoint · Subtest I
Question 1 of 10
Which instructional activity best develops phonemic awareness rather than phonics?
Subtest II · Science and Mathematics
Subtest II (code 214) — 52 multiple-choice + 4 constructed-response, 3 hours. Two domains: science across all branches, and elementary mathematics.
2.1 Science
Science is one of the two halves of CSET Subtest II (Code 214): 26 multiple-choice questions and 2 short constructed-response questions, weighted 70 percent MC and 30 percent CR. It spans physical, life, and earth and space sciences, plus the nature of science (scientific inquiry).[7]
The exam rewards breadth, not depth, and loves misconception traps. This guide teaches the highest-yield ideas that appear on the official released items, so reading it should genuinely move you toward the 220 passing score.[12]
Physical Science: Matter, Change, and Reactions
Matter is made of . A nucleus of protons (positive) and neutrons (neutral) is orbited by electrons (negative). The organizes elements by atomic number and groups elements with similar chemical properties into columns.[25]
Learn the physical-versus-chemical change rule cold, because it is a released item. A alters form or state but keeps the same substance (boiling, grinding, dissolving, freezing). A rearranges atoms into a new substance (burning, rusting, digestion).[12]
Use the make-coffee trap to test yourself: grinding beans, boiling water, and filtering are all physical; only lighting the burner (combustion) is chemical. Signs of a chemical change include a new color, gas, light, heat, or a precipitate.
measures acidity: below 7 is acidic (soft drinks, lemon juice), 7 is neutral (pure water), above 7 is basic (detergents, ammonia). Matter and energy are always conserved: in any change, total mass and total energy stay the same.[25]
- Physical change: same substance, reversible by physical means (ice melting to water).
- Chemical change: new substance, signaled by new color, gas, odor, light, or heat.
- Mixtures separate by physical means (filtering, evaporation); compounds need chemical reactions.
- Density formula: ; an object floats if it is less dense than the fluid.
| pH range | Category | Everyday example |
|---|---|---|
| 0 to 3 | Strongly acidic | Lemon juice, stomach acid |
| 4 to 6 | Weakly acidic | Soft drinks, coffee, rain |
| 7 | Neutral | Pure water |
| 8 to 10 | Weakly basic | Baking soda, sea water |
| 11 to 14 | Strongly basic | Ammonia, bleach, lye |
Physical Science: Motion, Forces, Energy, and Heat
Describe motion with position, speed, , and . Speed equals distance divided by time; velocity is speed with a direction; acceleration is any change in velocity (speeding up, slowing down, or turning).
A is a push or pull. By , force equals mass times acceleration (). Only an unbalanced (net) force changes an object's motion; balanced forces leave motion unchanged.[25]
Master the released graphing trap: an object speeding up does not graph as a straight line. A constant speed gives a straight distance-versus-time line, but acceleration gives a curve that bends upward (concave up).[12]
is conserved but transforms between forms (chemical, electrical, kinetic, thermal, light, sound, nuclear). is thermal energy that flows from hot to cold; temperature measures how hot something is, not how much energy it holds.
- Heat transfer has three modes: conduction (direct contact), convection (moving fluids or air), radiation (waves through space, like the Sun).
- Waves carry energy and have wavelength, amplitude, and frequency; light reflects off mirrors and refracts (bends) through a prism.
- Simple machines (lever, pulley, inclined plane, wedge, screw, wheel and axle) trade a smaller force over a longer distance.
- Like charges and like magnetic poles repel; opposites attract.
Life Science: Cells, Photosynthesis, and Ecology
Living things are built from cells arranged in a hierarchy: organ systems, organs, tissues, cells, and organelles. Know the nucleus (holds DNA), (releases energy), and (does photosynthesis in plants).[25]
converts carbon dioxide and water into glucose and oxygen using light energy. runs the reverse, breaking glucose with oxygen to release energy plus carbon dioxide and water. Both are heavily tested.[25]
is a classic released item: the flower-in-dyed-water demo shows water moving up the xylem. Add salt and the outside becomes hypertonic, so water leaves the cells and the plant wilts.[12]
is reported as heavier than expected, so over-prepare it. Energy flows one way through food chains and webs: producers (plants) to consumers to decomposers. is the maximum population an ecosystem can sustain.
- Photosynthesis: carbon dioxide plus water plus light yields glucose plus oxygen.
- Cellular respiration: glucose plus oxygen yields carbon dioxide plus water plus energy.
- Producers make their own food; consumers eat others; decomposers recycle dead matter.
- Only about 10 percent of energy passes to the next trophic level, so food chains are short.
| Organelle | Function | Found in |
|---|---|---|
| Nucleus | Stores DNA and controls the cell | Plant and animal cells |
| Mitochondrion | Releases energy (cellular respiration) | Plant and animal cells |
| Chloroplast | Captures light for photosynthesis | Plant cells only |
| Cell wall | Rigid outer support | Plant cells only |
| Cell membrane | Controls what enters and exits | Plant and animal cells |
Life Science: Genetics and Evolution (the Lamarck Trap)
Cells reproduce by division. makes two identical body cells; halves the chromosome number to make sex cells (gametes). Sexual reproduction mixes two parents' genes, creating variation; asexual reproduction copies one parent.[25]
Variation comes from genetics (inherited) or the environment (acquired during a lifetime). Only genetic variation is passed to offspring, which is the key to evolution by natural selection.
The number-one science constructed-response trap is . The wrong idea is that an organism develops a trait during life (a giraffe stretching its neck) and passes it on; you must name this misconception explicitly.[12]
The Darwinian answer: individuals naturally vary, those whose inherited traits fit the environment survive and reproduce more, and over generations the helpful traits become common. This is , and its evidence includes fossils, comparative anatomy, and DNA.[25]
- Adaptation versus accommodation, the top science distractor: adaptation is heritable and population-level; accommodation is temporary and individual (blood vessels narrowing in cold).
- Natural selection requires variation, heritability, and differential survival and reproduction.
- Mitosis equals identical body cells; meiosis equals gametes with half the chromosomes.
- Artificial selection (breeding dogs or crops) is humans choosing the traits instead of nature.
Earth and Space Science: Geology, Astronomy, and Weather
Earth's layers from outside in are crust, mantle, liquid outer core, and solid inner core; memorize that exact order. Convection in the mantle drives , which builds mountains and causes earthquakes and volcanoes.[25]
The has three types: igneous (cooled magma), sedimentary (compacted layers), and metamorphic (heat and pressure). breaks rock down, erosion moves the pieces, and deposition drops them in new layers.
is a released constructed-response item. By , lower layers are older; a fault or intrusion that cuts across layers is younger than what it cuts; an unconformity marks an erosion gap.[12]
For astronomy, know the full-moon trap: a full moon sits opposite the Sun, so it is never in the sky with the Sun and is not an eclipse. come from the changing Sun-Earth-Moon geometry, not from Earth's shadow.[25]
- Earth layers (outer to inner): crust, mantle, liquid outer core, solid inner core.
- Rock cycle: igneous, sedimentary, metamorphic; driven by heat, pressure, weathering, and time.
- Relative dating tools: superposition, cross-cutting relationships, unconformities.
- The water cycle (evaporation, condensation, precipitation, collection) is powered by the Sun and gravity; the Sun and oceans drive weather. Tides are caused by the Moon's and Sun's gravity.
Nature of Science: Inquiry and Experimental Design
Know the precise vocabulary, since the exam maps everyday ideas to jargon. An is what you sense; an is a conclusion drawn from observations; a prediction forecasts a future result; a is a testable proposed explanation.[26]
A is a broad, well-supported explanation (evolution, plate tectonics); a describes a consistent pattern (gravity). A theory is not a guess and does not graduate into a law; they answer different questions.[26]
In an experiment, the is what you change, the is what you measure, and are kept the same. Good design uses a control group and is reproducible.[12]
Record measurements in the metric system (length in meters, mass in grams, volume in liters; one cubic centimeter equals one milliliter). The engineering design process defines a problem, generates and tests solutions, then optimizes the best one.[26]
| Term | Meaning |
|---|---|
| Observation | Information gathered directly through the senses or tools |
| Inference | A logical conclusion based on observations |
| Hypothesis | A testable, tentative explanation for a question |
| Theory | A broad, well-evidenced explanation of many observations |
| Law | A statement of a consistently observed pattern in nature |
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Observe a phenomenon and ask a testable question
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Form a hypothesis (a testable proposed explanation)
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Design an experiment with one independent variable and controlled variables
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Collect and record data using metric measurements
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Analyze the results and compare them to the hypothesis
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Draw a conclusion, then communicate and repeat for reproducibility

- Sun
- Grass
- Grasshopper
- Frog
- Hawk
2.2 Mathematics
Mathematics is half of Subtest II (26 multiple-choice plus 2 written constructed-response items) and is widely the most-failed, most-retaken part of the whole CSET. The single biggest reason: you get only a basic four-function on-screen calculator and NO formula sheet, so every area, volume, and slope formula must be memorized cold.[7]
The exam splits math into four domains: , , , and . Below we teach the highest-yield procedures with worked examples drawn straight from the official released-item topics so you can actually do the problems, not just recognize them.[12]
Number Sense: place value, exponents, primes, and order of operations
Number sense covers the whole, integer, , and real number systems and ordering them on a number line. can be written as a fraction (this includes integers, terminating decimals, and repeating decimals); like and cannot.[27]
(PEMDAS: Parentheses, Exponents, Multiplication and Division left to right, then Addition and Subtraction left to right) is a silent point-loser for rusty test-takers. Drill it. also appears: in , the exponent 8 tells you to move the decimal 8 places right.
is one of the most-recurring released-item topics. A has exactly two factors, 1 and itself. The (GCF) is the largest number that divides two values; in a tiling problem the largest square tile (fewest tiles) equals the GCF, not just any common factor.[12]
Algebra and Functions: proportions, slope, and linear cost models
is the most-tested algebra skill. Set two equal ratios and cross-multiply, keeping units consistent (a frequent trap mixes inches with feet). (the classic surveyor-measuring-a-lake problem) use the same proportion idea: corresponding sides are in equal ratio.[12]
measures steepness: . The of a line is , where m is slope and b is the y-intercept. have equal slopes; have slopes that multiply to .[27]
appear often: a fixed base fee plus a per-unit rate, written . Recognize that a constant rate of change graphs as a straight line, while a squared or accelerating relationship graphs as a curve.
Measurement and Geometry: the formula block you must memorize

Because no formula sheet is provided, the area and volume formulas below are pure recall. Released items have asked for circle area (note graphs as an upward curve, not a line) and cylinder volume directly.[12]
Also memorize the , , for right triangles, plus the common triples (3,4,5), (5,12,13), (8,15,17) that let you skip the arithmetic. : 45-45-90 sides are in ratio ; 30-60-90 sides are .
The is community-flagged as high-priority: if every length is multiplied by k, then area is multiplied by and volume by . Always watch (1 inch equals 2.54 cm; 1 cubic cm equals 1 mL).[7]
| Figure | Formula | Notes |
|---|---|---|
| Rectangle area | length times width | base times height |
| Triangle area | one-half base times height | height is perpendicular to base |
| Trapezoid area | one-half times (b1 plus b2) times height | average the two parallel sides |
| Circle area | pi times r squared | use the radius, not the diameter |
| Circle circumference | 2 times pi times r | equals pi times diameter |
| Cylinder volume | pi times r squared times height | base area times height |
| Cone volume | one-third times pi times r squared times height | one-third of a cylinder |
| Sphere volume | four-thirds times pi times r cubed | memorize exactly |
| Rectangular prism volume | length times width times height | B times h, B = base area |
Statistics, Data, and Probability: center, spread, and chance
Know the four summary measures cold. equals the sum divided by the count; equals the middle value of the ordered data (average the two middle values if the count is even); equals the most frequent value; equals maximum minus minimum.[27]
The number-one statistics trap: the median is NOT the midpoint of the range. You must order the data and find the positional middle, not average the smallest and largest. Also understand : conclusions about a population are only valid from an unbiased random sample, and you should identify sources of bias.[28]
of an event equals favorable outcomes divided by total equally likely outcomes. The says . For , . Watch inclusive counting: the integers from 4 to 24 inclusive number values, not 20.[12]
Test-day math strategy and the constructed-response questions
Two of your math items are : you HANDWRITE the work, scan it at the workstation, then type an explanation. Anything not scanned before time expires is not scored, and scanning eats your clock, so budget time and show every step. is real, so write something even if you are unsure.[7]
CRQs test conceptual explanation, not just an answer. A common prompt asks you to prove the using the four-triangle area argument, or to justify why a procedure works. Answer as a teacher: state the concept, show the work, and explain the reasoning in plain academic language.[12]
Read figures labeled not drawn to scale as a cue to compute from the given numbers, never eyeball. There is no wrong-answer penalty on multiple choice, so never leave a question blank: eliminate, estimate, flag, and return.
- Memorize the area, volume, slope, and Pythagorean formulas before test day; no sheet is provided.
- Drill order of operations, fraction simplification, and prime factorization until automatic.
- Keep units consistent in every proportion and conversion.
- Show and scan all handwritten work on the constructed-response items for partial credit.
- Front-load Subtest II in your study plan; it is the most-retaken subtest.
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Read the prompt twice and identify exactly what to prove, compute, or justify.
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Step 2
Handwrite the solution showing every step, labeling figures and units clearly.
- 3
Step 3
Scan the handwritten work at the workstation BEFORE time expires.
- 4
Step 4
Type a plain-language explanation that states the concept and the reasoning.
- 5
Step 5
Reread to confirm both the scanned work and typed answer address the full prompt.
Checkpoint · Subtest II
Question 1 of 10
A teacher wants to demonstrate that a gas takes the shape and fills the volume of its container. Which observation best supports this property of gases?
Subtest III · Physical Education, Human Development & Visual and Performing Arts
Subtest III (code 225) — 39 multiple-choice + 3 constructed-response, 2 hours 15 minutes. Three smaller domains, 13 multiple-choice questions each.
3.1 Physical Education
is one of three content areas on Subtest III (Test Code 225), worth 13 multiple-choice questions and 1 constructed-response question, roughly 8 percent of the full exam.[8] Most candidates find it the friendliest section because it rewards clean vocabulary recall over computation.
The exam asks you to sort everyday activities into the correct technical category, name the fitness component or exercise principle behind an activity, and reason about what is developmentally appropriate for a given age.[13] Learn the categories and their official examples cold and you will pick up nearly every point here.
Movement Skills: The Three-Category Taxonomy
The single most-tested PE skill is sorting a movement into one of three categories. The exam describes an activity in plain words and asks which category it names, so drill the examples, not just the labels.[13]
move the body through space from one point to another. (axial) move the body around its own axis while staying in place. (object-control) control an object with the body or an implement.[18]
Watch the classic trap: a child balancing on one foot is nonlocomotor (no travel), while skipping across the gym is locomotor (travel). Catching a ball is manipulative because an object is involved.
| Category | Definition | Examples (official example in bold-equivalent first) |
|---|---|---|
| Locomotor | Move the body through space (travel) | Skipping, walking, running, hopping, jumping, leaping, galloping, sliding |
| Nonlocomotor (axial) | Move around the body's axis with no travel | Static balancing, bending, stretching, twisting, turning, swaying |
| Manipulative (object control) | Control or handle an object | Catching, throwing, kicking, striking, dribbling |
Critical Elements and Biomechanics
Beyond sorting skills, the exam tests , which are the cue-level coaching points that make a skill mechanically sound. Two official examples to memorize: stepping in opposition when throwing, and following through when kicking a ball.[8]
means striding forward with the foot opposite the throwing arm. This rotates the hips and trunk into the throw, adding force and accuracy through proper sequencing of body segments.
Movement is governed by , meaning the body is influenced by gravity, friction, and Newton's laws of motion. A teacher cue such as bend your knees to lower your is applied biomechanics for better balance and stability.[29]
Exercise Physiology: Fitness Components and the FITT Principle
Know the five by heart, because the exam asks you to match an activity to the component it builds. They are flexibility, muscular strength, muscular endurance, cardiorespiratory endurance, and body composition.[18]
Do not confuse these with (agility, balance, coordination, power, reaction time, speed). The five health-related components are the ones a comprehensive personal fitness program must include.
The exercise principles for designing programs are frequency, intensity, and time, the F-I-T core; the broader version is , adding Type. Increasing these variables applies the , the idea that the body adapts and grows fitter only when challenged beyond its normal demand.[8]
| Component | What it is | Example activity |
|---|---|---|
| Cardiorespiratory endurance | Heart and lungs sustain activity over time | Running, swimming, cycling |
| Muscular strength | Maximum force a muscle can exert at once | Lifting a heavy weight once |
| Muscular endurance | Repeating contractions without fatigue | Push-ups, planks, many sit-ups |
| Flexibility | Range of motion at a joint | Stretching, yoga |
| Body composition | Ratio of fat to lean body mass | Overall result of diet and activity |
Self-Image and Personal Development
Motor skills develop in a predictable sequence. Development proceeds head-to-toe () and center-outward (), and like running emerge before like buttoning a shirt.[29]
(rapid changes in height and weight) and body type affect coordination. A useful exam fact: during a growth spurt, a child can temporarily become less coordinated because limb length changes faster than motor control adapts.
On the affective side, physical activity builds a positive , and psychological skills such as are chosen to promote lifelong participation. The logic the exam wants: realistic goals raise motivation, which improves adherence, which sustains a lifelong active lifestyle.[18]
Social Development, Inclusion, and Cultural Context
The high-yield developmental sequence: . Young children should master cooperative, self-referenced activities first, and competitive games are introduced later when they can handle winning and losing responsibly.[18]
is a recurring mandate. Teachers must select and modify activities so all students can participate regardless of gender, race, culture, religion, ability, or disability, and PE should integrate with other subjects such as math and science.[29]
Finally, expect questions on the cultural and historical significance of games, sports, and dance, plus the idea that activities should give students chances for enjoyment, self-expression, and communication.[8]
3.2 Human Development
is one of three sections on Subtest III (Test 225), worth 13 multiple-choice questions plus 1 constructed-response. It is widely the easiest, most memorization-friendly part of the CSET because the testable concepts form a finite, named list.[5]
The exam rarely asks you to define a theorist in the abstract. Instead it gives a TK-8 classroom scenario and asks which developmental concept or stage explains the child's behavior, so you must connect each theorist's stage to an observable action and a teaching move.[8]
Cognitive Development: Piaget and Vygotsky
is how thinking, reasoning, symbol manipulation, and problem solving change with age. proposed four universal stages that move a child from concrete to abstract thought, and the CSET expects you to match an age and behavior to the correct stage.[8]
Two Piaget terms are high-yield. is the preoperational inability to take another viewpoint, and conservation is knowing quantity stays the same when shape changes, a skill that appears at the concrete operational stage.
stressed the social side of learning. The is the gap between what a child can do alone and what they can do with help, and scaffolding is the temporary support a teacher removes as the child gains mastery.
- Mnemonic for Piaget order: Some People Can Fly (Sensorimotor, Preoperational, Concrete, Formal).
- Object permanence (sensorimotor) = knowing a hidden object still exists.
- Conservation (concrete operational) = pouring water into a taller glass does not change the amount.
| Stage | Approx. age | Key idea | Teaching implication |
|---|---|---|---|
| Sensorimotor | 0 to 2 | Learns through senses and motion; gains object permanence | Provide hands-on sensory exploration |
| Preoperational | 2 to 7 | Symbolic and pretend play; egocentric; lacks conservation | Use concrete props, pictures, and dramatic play |
| Concrete Operational | 7 to 11 | Logical about concrete objects; masters conservation | Use manipulatives and real examples before abstraction |
| Formal Operational | 12 and up | Abstract and hypothetical reasoning | Pose what-if problems and abstract reasoning tasks |
Moral Development: Kohlberg
is how reasoning about right and wrong matures, and the CSET names it directly alongside cognitive development. described three levels, each with two stages, and the test wants you to identify the level from a child's stated reason for a choice.[8]
The key skill is reading the justification, not the action. A child who shares to avoid getting in trouble is preconventional, while one who shares because rules keep the class fair is conventional.
reasoning, based on universal ethical principles even when they conflict with rules, is uncommon in elementary students. Recognizing that most young children reason at the preconventional or early conventional level is a frequent test point.[13]
| Level | Stages | What drives the choice |
|---|---|---|
| Preconventional | Stages 1 to 2 | Avoiding punishment and seeking personal reward |
| Conventional | Stages 3 to 4 | Gaining approval and obeying rules and laws |
| Postconventional | Stages 5 to 6 | Social contract and universal ethical principles |
Social and Emotional Development: Erikson and Attachment
The SMR names attachment, self-concept, autonomy, and identity as the core personality concepts, and 's psychosocial theory ties them together. Each of his eight stages is a crisis the person must resolve, and the four spanning birth through adolescence are the most tested.[8]
is the early emotional bond between child and caregiver and is the SMR's primary anchor for emotional development. , the biologically based style a child is born with, is distinct from personality, which is shaped over time.
is the central task of adolescence in Erikson's model, matching the SMR statement that identity is the key developmental challenge of the teen years. , meaning helping, sharing, and cooperating, is promoted by modeling and a supportive environment.
| Stage (crisis) | Approx. age | Healthy outcome |
|---|---|---|
| Trust vs. Mistrust | 0 to 1 | Secure attachment and trust in caregivers |
| Autonomy vs. Shame and Doubt | 1 to 3 | Confidence in independent action |
| Initiative vs. Guilt | 3 to 6 | Willingness to plan and start tasks |
| Industry vs. Inferiority | 6 to 11 | Competence and pride in schoolwork |
| Identity vs. Role Confusion | 12 to 18 | A coherent sense of self |
Intelligence, Play, and Needs: Gardner, Maslow, and Bandura
The SMR explicitly tests multiple intelligences, 's idea that intelligence is several distinct capacities such as linguistic, logical-mathematical, spatial, musical, and interpersonal. The implication is that individual differences in strengths should guide differentiated instruction.[8]
Play is named as a driver of both cognitive and social development. advances reasoning and symbol use, while cooperative group play builds social skills, and the developmental sequence moves from solitary to cooperative play.[19]
explains why basic needs come first: a hungry or unsafe child cannot reach higher learning. 's social learning theory adds that children learn by observing and imitating models, which is why modeling prosocial behavior works.
- Maslow order, bottom to top: physiological, safety, belonging, esteem, self-actualization.
- Bandura's Bobo doll study showed children imitate observed aggression, the basis of observational learning.
- Vygotsky and Bandura both stress the social context of learning, a common distractor pairing on the exam.
Influences on Development
The third SMR subarea asks you to identify forces that shape a child's growth. The official categories are genetic or organic causes, sociocultural factors such as family, race, and culture, socioeconomic factors such as poverty and class, and sex and gender.[8]
The exam also requires recognizing sources of abuse and neglect, listed as physical, emotional, and substance abuse and neglect, and describing their impact on development. Teachers in California are mandated reporters, so knowing the signs is both a tested concept and a legal duty.
The constructed-response item is application-based: you receive a short anecdote and must explain the child's behavior using a developmental concept. Answer as a teacher by naming the concept, citing the evidence in the scenario, and giving a developmentally appropriate response.[13]
- 1
Step 1
Read the anecdote and pinpoint the child's age and the specific observable behavior.
- 2
Step 2
Name the matching developmental concept or stage (Piaget, Erikson, Kohlberg, etc.).
- 3
Step 3
Cite the exact evidence from the scenario that proves the concept applies.
- 4
Step 4
Recommend one developmentally appropriate teaching response or strategy.
- 5
Step 5
Check that you addressed every charge in the prompt before moving on.
3.3 Visual & Performing Arts
(VPA) is one third of Subtest III (Test Code 225), worth 13 multiple-choice items and 1 constructed-response question, roughly 8 percent of the whole exam.[8] It rewards pure vocabulary recall across four equal disciplines: Dance, Music, Theatre, and Visual Art.
The trap is that wrong answers are sibling terms from the same family, for example offering a when the question wants an . Learn the exact term lists below and you can score this domain quickly and bank time for the harder subtests.
The Framework: 4 Disciplines, 4 Processes, 5 Strands
California organizes the arts into 5 disciplines, but CSET tests four of them: Dance, Music, Theatre, and Visual Art (media arts is the fifth, rarely tested). Treat the four as equal: about three or four questions each.[32]
The 2018 CA Arts Standards use 4 , and the older CSET framing uses 5 . Both crosswalk cleanly and both appear as answer choices, so memorize them.[30]
A reliable test pattern: a stem describes an activity, and you must name the matching process or strand. Analyzing a finished work is (Aesthetic Valuing); tying art to its time period is (Historical and Cultural Context).
| Artistic process (current) | Legacy VAPA strand | What the student is doing |
|---|---|---|
| Creating (Cr) | Creative Expression | Generating and making original work |
| Performing / Presenting / Producing (Pr) | Artistic Perception | Realizing, displaying, or perceiving a work |
| Responding (Re) | Aesthetic Valuing | Perceiving, interpreting, and judging a work |
| Connecting (Cn) | Historical / Cultural Context + Connections | Relating art to self, society, history, and other subjects |
Visual Art: Elements, Principles, and Perspective
The single most-tested VPA fact set is the 7 versus the . Elements are the building blocks; principles are how you arrange those blocks. Confusing the two is the number one visual-art distractor.[30]
The 7 elements of art are line, shape, form, color, value, texture, and space. A common mnemonic is the phrase that links Space, Form, Color, Line, Value, Shape, Texture.
Principles of design include balance, contrast, , movement, pattern, rhythm, proportion, and unity or variety. If a question asks how the artist drew your eye to one spot, that is emphasis, a principle, not an element.
- Linear perspective (flagged as high-yield): parallel lines converge at a vanishing point on the horizon to create the illusion of depth on a flat surface.
- Color wheel basics: primary colors are red, yellow, blue (cannot be mixed from others); secondary colors are orange, green, violet (each mixed from two primaries).
- Value = lightness or darkness of a color; tint = color plus white, shade = color plus black.
- Composition = the overall arrangement of all the elements within the work.
| Term | Meaning | Example |
|---|---|---|
| Primary colors | Cannot be mixed from other colors | Red, yellow, blue |
| Secondary colors | Each mixed from two primaries | Orange, green, violet |
| Tint | Color plus white | Pink (red + white) |
| Shade | Color plus black | Maroon (red + black) |
| Value | Lightness or darkness of a color | Light gray vs. dark gray |
Music: The Core Elements
Music questions are a vocabulary game built on the . Know each term and a one-line definition, because distractors swap two similar elements (for example versus ).[30]
The biggest mix-up is versus : melody is a single line of pitches heard in sequence (the tune you hum), while harmony is two or more pitches sounded at the same time (chords).
Watch for cross-discipline traps: a question about Dance may list music elements as wrong choices. Anchor each term to its home discipline before answering.
| Element | Definition |
|---|---|
| Pitch | Highness or lowness of a sound |
| Rhythm | The pattern of long and short durations in time |
| Melody | A succession of single pitches forming the tune |
| Harmony | Two or more pitches sounded together (chords) |
| Dynamics | Loudness or softness (e.g., piano = soft, forte = loud) |
| Tempo | The speed of the beat (e.g., allegro = fast, largo = slow) |
| Timbre | Tone color; why a flute and a violin sound different on the same pitch |
| Form | The overall structure or plan (e.g., AB, ABA, verse-chorus) |
| Meter | How beats group into measures (duple, triple) |
Theatre: Elements and Technical Design
Theatre is tested two ways: , and the of staging. Both lists show up as answer choices.[30]
Aristotle named six elements of drama; modern usage adds a seventh, setting. Memorize them as a set because a stem will ask which element a description illustrates.
Technical theatre is the practical, behind-the-scenes side emphasized since the 2022 revision. Know that a teacher building a puppet from recycled cardboard is using .[8]
- Aristotle's 6 elements: Plot, Character, Thought (theme), Diction (dialogue/language), Music (sound), Spectacle (visual/staging). Modern lists add Setting as a 7th.
- Technical / design elements: scenery (set), lighting, sound, costumes, makeup, and props.
- Given circumstances = the who, what, where, when, and why surrounding a character; actors convey character mainly through voice and gesture.
- Dramatic play / guided drama = improvised role-play, the foundational drama experience for young learners.
Dance and the Cross-Discipline Skills
Dance is built on its own short element list, usually remembered as : Body, Action, Space, Time, Energy. Space includes level, direction, and pathway; Time includes tempo and rhythm; Energy is the quality of movement (sharp versus sustained).
Know three working verbs: is spontaneous unplanned movement, is the deliberate arranging of movement, and a phrase is the basic dance sentence with a beginning, middle, and clear end.
, the body's sense of its own position and movement, is a frequently tested term. Across all four arts, Responding means perceive then interpret then evaluate, while Connecting ties any work to its cultural and historical context.
- 1
Step 1
Perceive: observe and identify the elements actually present in the work
- 2
Step 2
Interpret: analyze what those elements mean and how they create effect
- 3
Step 3
Evaluate: judge the work's quality or success (Aesthetic Valuing)
Checkpoint · Subtest III
Question 1 of 10
A physical education teacher observes that a kindergartner can balance on one foot for several seconds without falling. This ability is the foundation of which broad movement-skill category?
How to Use This Study Guide
Each subtest passes on its own, so treat them as separate goals — use this guide alongside the official test guides and our practice tools, not on its own:
- 1
Pick one subtest
Focus on a single subtest at a time, since each is scored and retaken separately.
- 2
Read a domain, take the checkpoint
The questions at the end of each subtest expose what didn't stick.
- 3
Drill the gaps
Send your weak domain straight into the free practice test and flashcards.
- 4
Bookmark & space it out
Come back over several days. Short, spaced sessions beat one long cram.
CSET Concept Questions
Common CSET concepts tested across the three subtests. Tap any card for a short, exam-ready answer backed by the official test guide — then test yourself on them as flashcards.
CSET Glossary
Quick definitions for the terms you’ll see most across the CSET subtests:
- acceleration
- Any change in velocity, including speeding up, slowing down, or turning.
- Algebra and Functions
- The CSET math domain covering proportions, slope, linear equations, and functional relationships.
- alphabetic principle
- The understanding that letters represent predictable, systematic speech sounds; the bridge from phonemic awareness to phonics and decoding.
- Alphabetic principle
- The understanding that there are systematic, predictable relationships between written letters and spoken sounds in English.
- Aristotle's elements of drama
- The six elements Aristotle identified in a play: Plot, Character, Thought, Diction, Music, and Spectacle (modern lists add Setting).
- Articles of Confederation
- The first national government of the United States. Its weakness — no power to tax or regulate trade — led to the Constitutional Convention and the U.S. Constitution.
- artistic processes
- The four actions in the 2018 California Arts Standards: Creating, Performing/Presenting/Producing, Responding, and Connecting.
- atoms
- The smallest units of an element, made of a nucleus of protons and neutrons orbited by electrons.
- Attachment
- The strong, enduring emotional bond between an infant and a primary caregiver. It is foundational to healthy social and personality development.
- authority
- The legitimate, lawful right to exercise power.
- Bandura
- Theorist of social learning who showed children learn by observing and imitating models.
- BASTE
- Mnemonic for the elements of dance: Body, Action, Space, Time, Energy.
- biomechanics
- The study of how forces like gravity, friction, and Newton's laws of motion act on the moving body.
- Carrying capacity
- The maximum population size that an ecosystem can sustain over time.
- Cellular respiration
- The process that breaks down glucose with oxygen to release energy, producing carbon dioxide and water.
- center of gravity
- The point at which body weight is balanced; lowering it (e.g., by bending the knees) improves stability and balance.
- cephalocaudal
- The head-to-toe direction in which motor development progresses, with head and trunk control preceding leg control.
- checks and balances
- The system by which each branch of government can limit the others, as with the presidential veto and judicial review.
- chemical change
- A change that rearranges atoms into a new substance, signaled by a new color, gas, odor, light, or heat.
- Chemical change
- A change that rearranges atoms to form one or more new substances with new properties — such as rusting, burning, or digestion.
- chloroplast
- The organelle in plant cells that captures light to carry out photosynthesis.
- choreography
- The deliberate arranging and composing of dance movement.
- Clause
- A group of words containing a subject and a verb. An independent clause can stand alone; a dependent (subordinate) clause cannot.
- Cognitive development
- The growth of thinking, reasoning, and language across identifiable stages from infancy through adolescence — used to explain why same-age children differ.
- complement rule
- The probability an event does not occur equals 1 minus the probability that it does, .
- Connecting
- The artistic process of relating a work to oneself, society, history, culture, and other subjects.
- connotative meaning
- The emotional or associative overtone a word carries beyond its literal definition.
- constructed-response question
- A CSET item where you handwrite and scan your work, then type an explanation, rather than choosing an answer.
- controlled variables
- The factors kept the same throughout an experiment to ensure a fair test.
- cooperation before competition
- The developmental principle that young children should master cooperative, self-referenced activities before competitive games are introduced.
- critical elements
- The cue-level coaching points that make a motor skill mechanically sound, such as stepping in opposition or following through.
- cultural diffusion
- The spread of ideas, goods, technologies, and beliefs from one culture or region to another.
- Declaration of Independence
- The 1776 document declaring the American colonies independent and grounded in natural rights and consent of the governed.
- decoding
- Sounding out printed words by applying sound-symbol relationships.
- denotative meaning
- A word's literal, dictionary definition, free of emotional overtones.
- dependent variable
- The factor that is measured in response to changes in the independent variable.
- Ecology
- The study of how organisms interact with one another and their environment, including food chains and webs.
- Egocentrism
- The preoperational-stage inability to take another person's point of view.
- element of art
- A basic visual building block of a work of art: line, shape, form, color, value, texture, or space.
- elements of art
- The seven visual building blocks of art: line, shape, form, color, value, texture, and space.
- Elements of art
- The visual building blocks artists use — line, color, shape, form, value, texture, and space — combined through principles like balance and composition.
- elements of music
- The core vocabulary of music: pitch, rhythm, melody, harmony, dynamics, tempo, timbre, form, and meter.
- Elements of music
- The building blocks of music — including pitch (highness/lowness), rhythm (patterns of duration), and harmony (pitches sounded together).
- emphasis
- A principle of design that draws the viewer's eye to a focal point in a work.
- Energy
- The capacity to do work; it is conserved but can transform between forms such as kinetic, thermal, and chemical.
- Enlightenment
- An 18th-century intellectual movement emphasizing reason, natural rights, and consent of the governed that shaped modern democracies.
- equilibrium
- The price at which the quantity buyers demand equals the quantity sellers supply.
- Erikson
- Theorist whose psychosocial theory describes eight life-span stages, each a crisis to be resolved.
- federalism
- The division of power between the national government and the states.
- feudalism
- A medieval social system in Europe and Japan in which land was exchanged for military service within a strict hierarchy of lords and vassals.
- fine motor skills
- Small, precise movements such as buttoning a shirt that develop after gross motor skills.
- fiscal policy
- Government use of taxing and spending to influence the economy.
- FIT principles
- Frequency, Intensity, and Time — the adjustable exercise variables a teacher manipulates to build fitness components such as cardiorespiratory endurance.
- FITT principle
- A program-design framework standing for Frequency, Intensity, Time, and Type of exercise.
- five themes of geography
- Location, place, human-environment interaction, movement, and region, the framework for analyzing geography.
- fluency
- Reading with accuracy, appropriate rate, and prosody so that attention is freed for comprehension.
- Food chain
- A model of energy transfer through an ecosystem: producers → consumers → decomposers. Energy originates with the sun; matter cycles through.
- force
- A push or pull that can change an object's motion when unbalanced.
- Four arts disciplines
- California's four Visual & Performing Arts disciplines: dance, music, theatre, and visual art.
- Gardner
- Theorist who proposed that intelligence consists of multiple distinct capacities rather than a single ability.
- goal setting
- A psychological skill of choosing realistic targets to raise motivation, improve adherence, and promote lifelong participation.
- Gold Rush
- The 1848-to-1849 migration to California after gold was discovered, transforming its population and economy and harming Indigenous and Mexican residents.
- greatest common factor
- The largest number that divides two or more values evenly; the largest square tile in a tiling problem equals the GCF of the dimensions.
- gross motor skills
- Large-muscle movements such as running and jumping that develop before fine motor skills.
- Growth spurts
- Periods of rapid increase in height and weight that can temporarily reduce coordination as limb length outpaces motor control.
- harmony
- Two or more pitches sounded at the same time, producing chords.
- health-related fitness components
- The five components a comprehensive fitness program builds: flexibility, muscular strength, muscular endurance, cardiorespiratory endurance, and body composition.
- Heat
- Thermal energy that flows from a hotter object to a colder one.
- Human Development
- The CSET Subtest III content area covering how children grow cognitively, morally, socially, emotionally, and physically from birth through adolescence.
- hypothesis
- A testable, tentative explanation proposed for a question.
- Identity formation
- The central developmental task of adolescence in Erikson's model: building a coherent sense of self.
- improvisation
- Spontaneous, unplanned movement created in the moment.
- Inclusion
- The mandate to select and modify activities so all students can participate regardless of gender, race, culture, religion, ability, or disability.
- independent events
- Events whose outcomes do not affect each other, so .
- independent variable
- The single factor an experimenter deliberately changes.
- inference
- A logical conclusion drawn from observations.
- initiative
- A California Progressive-era reform letting voters propose new laws directly.
- irrational number
- A real number that cannot be written as a fraction, such as or .
- Jim Crow
- The system of laws and customs enforcing racial segregation in the South after Reconstruction was abandoned.
- John Locke
- The Enlightenment philosopher whose ideas on natural rights and consent of the governed shaped the Declaration of Independence.
- Kinesthetic awareness
- The body's internal sense of its own position and movement in space.
- Kohlberg
- Theorist who described three levels of moral reasoning, each containing two stages.
- Lamarckism
- The disproven idea that traits acquired during an organism's lifetime can be inherited by its offspring.
- latitude and longitude
- The grid of coordinates used to locate any place on Earth, with latitude measured north-south and longitude measured east-west.
- limited government
- The principle that government power is restricted by law and a constitution, so officials may only do what the law permits.
- linear function
- A relationship with a constant rate of change that graphs as a straight line, such as a fixed base fee plus a per-unit rate.
- Locomotor skills
- Fundamental movement skills that move the body through space — running, jumping, hopping, skipping, galloping.
- Magna Carta
- The 1215 English charter that limited the king's power and helped seed the idea of representative, rule-bound government.
- Manipulative skills
- Fundamental movement skills involving handling an object — throwing, catching, kicking, striking. 'Stepping in opposition' is a critical element of throwing.
- Maslow's hierarchy
- Maslow's pyramid of needs, in which basic physiological and safety needs must be met before higher learning and self-actualization.
- mean
- The average, equal to the sum of the values divided by the count.
- Measurement and Geometry
- The CSET math domain covering area, volume, the Pythagorean theorem, scale factors, and unit conversions.
- median
- The middle value of an ordered data set, or the average of the two middle values when the count is even.
- meiosis
- Cell division that halves the chromosome number to make sex cells (gametes).
- melody
- A succession of single pitches heard in sequence that forms the tune.
- metaphor
- A direct comparison stating one thing is another, with no like or as (Time is a thief).
- mission, presidio, and pueblo system
- The Spanish colonial framework in California of religious missions, military forts (presidios), and towns (pueblos).
- mitochondrion
- The organelle that releases energy through cellular respiration in plant and animal cells.
- Mitosis
- Cell division that produces two genetically identical body cells.
- mode
- The most frequently occurring value in a data set.
- monetary policy
- A central bank's control of the money supply and interest rates to influence the economy.
- mood
- The feeling or atmosphere a text creates in the reader.
- Moon phases
- The changing appearance of the Moon caused by the shifting Sun-Earth-Moon geometry, not by Earth's shadow.
- Moral development
- The maturation of reasoning about right and wrong, described in levels by Kohlberg.
- morpheme
- The smallest unit of meaning in a language; free morphemes stand alone and bound morphemes (prefixes, suffixes) cannot.
- morphology
- The language system governing word structure and morphemes, the smallest units of meaning.
- Morphology
- The study of the structure of words and of morphemes — the smallest units of meaning (e.g., prefixes, roots, suffixes).
- natural rights
- Rights such as life, liberty, and property held to belong to all people inherently rather than being granted by government.
- natural selection
- The process by which individuals with heritable traits suited to the environment survive and reproduce more, so those traits become common.
- Newton's second law
- The rule that force equals mass times acceleration, .
- non-representational (found) materials
- Everyday or recycled objects (such as cardboard) repurposed to build theatrical props or puppets.
- Nonlocomotor skills
- Axial movement skills performed around the body's own axis while staying in one place, such as bending, twisting, and static balancing.
- Number Sense
- The CSET math domain covering whole, integer, rational, and real numbers, place value, exponents, primes, and order of operations.
- observation
- Information gathered directly through the senses or instruments.
- onset-rime
- Dividing a syllable into its onset (the initial consonant sound) and rime (the vowel and what follows), as /k/ and /at/ in cat.
- opportunity cost
- The value of the next-best alternative given up when a choice is made.
- Opportunity cost
- The value of the next-best alternative given up when a choice is made. It arises from scarcity, which forces trade-offs among limited resources.
- order of operations
- The PEMDAS sequence (Parentheses, Exponents, Multiplication/Division left to right, then Addition/Subtraction left to right) that fixes how an expression is evaluated.
- Order of operations
- The agreed sequence for evaluating expressions: parentheses, exponents, multiplication/division (left to right), then addition/subtraction.
- Osmosis
- The movement of water across a membrane from low to high solute concentration.
- overload principle
- The principle that the body adapts and grows fitter only when challenged beyond its normal demand.
- parallel lines
- Lines that never intersect and have equal slopes.
- partial credit
- Points awarded for correct steps and reasoning on constructed-response items even when the final answer is incomplete.
- periodic table
- A chart that organizes elements by atomic number and groups those with similar chemical properties into columns.
- perpendicular lines
- Lines that meet at a right angle and have slopes that multiply to negative 1.
- pH
- A measure of acidity where below 7 is acidic, 7 is neutral, and above 7 is basic.
- phoneme
- The smallest distinct unit of sound in a language, such as /b/ or /p/.
- phonemic awareness
- The ability to hear and manipulate individual phonemes (speech sounds) in spoken words; purely oral, with no letters involved.
- Phonemic awareness
- The purely oral ability to hear, identify, and manipulate the individual sounds (phonemes) in spoken words — including rhyming, segmenting, and blending. It involves no print.
- phonics
- Instruction that maps speech sounds to printed letters, teaching the sound-symbol relationships used to decode print.
- Phonics
- Instruction in the relationship between sounds and the written letters that represent them — the sound–symbol connection. Distinct from phonemic awareness, which is sound only.
- phonology
- The language system governing the sounds (phonemes) of a language and how they pattern.
- Photosynthesis
- The process by which producers convert sunlight, water, and carbon dioxide into chemical energy (sugar) and oxygen.
- physical change
- A change in form or state that keeps the same substance, such as boiling, grinding, or dissolving.
- Physical change
- A change in a substance's form or state (e.g., ice melting, water evaporating) in which no new substance is formed and the chemical identity stays the same.
- Physical Education
- A CSET Subtest III content area covering movement skills, exercise physiology, and the social and personal development of learners through activity.
- Piaget
- Developmental theorist who proposed four universal stages of cognitive development from concrete to abstract thought.
- Place value
- The value of a digit based on its position in a number (ones, tens, hundreds). The foundation of the base-ten number system.
- plate tectonics
- The movement of Earth's crustal plates driven by mantle convection, building mountains and causing earthquakes and volcanoes.
- point of view
- The narrative vantage from which a story is told, such as first person (I) or third-person omniscient.
- popular sovereignty
- The principle that governmental authority derives from the consent and will of the people.
- Postconventional
- Kohlberg's highest moral level, based on social contract and universal ethical principles even when they conflict with rules.
- power
- The ability to act or to make others act.
- pragmatics
- The language system governing how language is used in social context, including intended meaning beyond literal form.
- primary source
- A firsthand, original record of an event, such as a letter, photograph, or artifact.
- prime factorization
- Expressing a whole number as a product of its prime factors, often written in exponent form.
- prime number
- A whole number greater than 1 with exactly two factors, 1 and itself.
- principle of design
- A way of arranging the elements of art, such as balance, contrast, emphasis, movement, pattern, rhythm, proportion, or unity/variety.
- principles of design
- The ways elements of art are organized in a composition: balance, contrast, emphasis, movement, pattern, rhythm, proportion, and unity/variety.
- probability
- The chance of an event, equal to favorable outcomes divided by total equally likely outcomes.
- Producer
- An organism (such as a green plant) that makes its own food from sunlight through photosynthesis, forming the base of a food chain.
- proportional reasoning
- Solving problems by setting two equal ratios and cross-multiplying while keeping units consistent.
- Proportional reasoning
- Comparing equivalent ratios to solve problems — e.g., gives . Used with ratios, equivalent fractions, and similar figures.
- Prosocial behavior
- Voluntary helping, sharing, and cooperating, promoted by modeling and a supportive environment.
- prosody
- Reading aloud with expression, appropriate phrasing, and natural intonation; one of the three indicators of fluency.
- proximodistal
- The center-outward direction of motor development, with control near the body's midline emerging before control of the extremities.
- Pythagorean theorem
- For a right triangle, , where c is the hypotenuse (opposite the right angle). Legs of 6 and 8 give a hypotenuse of 10.
- random sampling
- Selecting members of a population by chance so that conclusions are unbiased and valid.
- range
- The spread of a data set, equal to the maximum value minus the minimum value.
- rational number
- Any number that can be written as a fraction of two integers, including integers, terminating decimals, and repeating decimals.
- Reading fluency
- The ability to read with accuracy, appropriate rate, and prosody (expression and phrasing). Fluency frees attention for comprehension.
- recall
- A California reform letting voters remove an elected official from office before the term ends.
- referendum
- A California reform letting voters approve or reject a law.
- Relative dating
- Determining the order of geologic events using clues such as superposition, cross-cutting, and unconformities.
- Renaissance
- A European revival of art, learning, and classical ideas from roughly the 14th to 17th centuries that bridged the medieval and modern eras.
- Responding
- The artistic process of perceiving, interpreting, and judging a finished work; corresponds to the legacy strand Aesthetic Valuing.
- rhythm
- The pattern of long and short note durations organized in time.
- river-valley geography
- The pattern of early civilizations forming along rivers, where reliable water and fertile soil produced farming surpluses that enabled cities, specialization, and writing.
- rock cycle
- The continual transformation of rock among igneous, sedimentary, and metamorphic types through heat, pressure, weathering, and time.
- scale factor
- A multiplier k applied to every length; area scales by k squared and volume by k cubed.
- scarcity
- The basic economic condition that resources are limited while human wants are unlimited, forcing choices.
- Scarcity
- The basic economic problem that resources are limited while wants are unlimited, forcing individuals and societies to make choices.
- scientific law
- A statement describing a consistently observed pattern in nature, such as gravity.
- Scientific method
- The systematic process of inquiry: ask a question, form a hypothesis, test it with a controlled experiment, analyze data, and draw a conclusion.
- scientific notation
- A way to write numbers as a value times a power of ten, where the exponent shifts the decimal point that many places.
- Scientific Revolution
- A period in which observation and experiment replaced inherited authority, producing modern science and methods of inquiry.
- scientific theory
- A broad, well-supported explanation of many observations, such as evolution or plate tectonics.
- secondary source
- A later interpretation of primary evidence, such as a textbook or biography.
- self-image
- A learner's perception of their own body and abilities, which physical activity helps build positively.
- semantics
- The language system governing the meaning of words and sentences.
- Semantics
- The branch of linguistics dealing with meaning — including denotative (literal) and connotative (associative) word meanings.
- separation of powers
- The division of government into legislative, executive, and judicial branches so that no single branch dominates.
- Silk Road
- The network of trade routes linking China to the Mediterranean, the classic example of cultural diffusion across Eurasia.
- similar triangles
- Triangles with equal corresponding angles whose corresponding sides are in equal ratio, allowing proportions to find unknown lengths.
- simile
- A comparison of two things using like or as (brave as a lion).
- skill-related fitness components
- Performance attributes tied to athletic skill rather than health: agility, balance, coordination, power, reaction time, and speed.
- slope
- The steepness of a line, equal to the change in y divided by the change in x between two points.
- slope-intercept form
- The linear equation , where m is the slope and b is the y-intercept.
- special right triangles
- The 45-45-90 triangle (sides ) and 30-60-90 triangle (sides ) with fixed side ratios.
- Statistics, Data Analysis, and Probability
- The CSET math domain covering measures of center and spread, sampling, and computing the chance of events.
- Stepping in opposition
- Striding forward with the foot opposite the throwing arm to rotate the hips and trunk into the throw for greater force and accuracy.
- superposition
- The principle that in undisturbed rock layers, lower layers are older than the ones above them.
- supply and demand
- The interaction between the quantity sellers offer and the quantity buyers want that sets market price.
- Supply and demand
- The market forces that set price: supply is how much producers offer at each price; demand is how much buyers want. Price moves toward where they balance.
- Symbolic play
- Pretend play in which objects or actions stand for something else, advancing reasoning and symbol use.
- syntax
- The language system governing sentence structure and word order.
- Syntax
- The rules governing how words combine into phrases, clauses, and sentences. Mastery lets a writer build simple, compound, and complex sentences.
- technical/design elements
- The behind-the-scenes staging components of theatre: scenery, lighting, sound, costumes, makeup, and props.
- Temperament
- The biologically based behavioral style a child is born with, distinct from learned personality.
- tempo
- The speed of the musical beat (e.g., allegro = fast, largo = slow).
- tone
- The author's attitude toward the subject, conveyed through word choice.
- Treaty of Guadalupe Hidalgo
- The 1848 treaty ending the U.S.-Mexican War and ceding California and other territory to the United States.
- unit conversion
- Changing a measurement from one unit to another, such as 1 inch = 2.54 cm or 1 cubic cm = 1 mL.
- VAPA strands
- The five legacy California Visual and Performing Arts strands: Artistic Perception, Creative Expression, Historical/Cultural Context, Aesthetic Valuing, and Connections.
- velocity
- Speed in a specific direction.
- Visual and Performing Arts
- The CSET content domain covering Dance, Music, Theatre, and Visual Art, tested on Subtest III as 13 multiple-choice items plus one constructed-response question.
- Vygotsky
- Theorist who emphasized the social context of learning, including the Zone of Proximal Development and scaffolding.
- Weathering
- The breaking down of rock into smaller pieces by physical or chemical processes.
- writing process
- The recursive sequence of prewriting, drafting, revising, editing, and publishing used to produce written work.
- Yopp-Singer Test of Phoneme Segmentation
- A named early-literacy assessment that measures a child's ability to segment spoken words into individual phonemes.
- Zone of Proximal Development
- The gap between what a child can do alone and what they can do with guidance from a more capable person.
Free CSET Study Materials & Resources
Everything you need to pass the CSET is free here — no paywall, no sign-up. This guide is the foundation; pair it with the rest of our free CSET study materials:
- CSET Practice Test — full-length, timed questions with explanations, by subtest.
- CSET Flashcards — active-recall decks for the high-yield facts.
CSET Study Guide FAQ
Three. Subtest I (Reading/Language/Literature + History/Social Science), Subtest II (Science + Mathematics), and Subtest III (Physical Education, Human Development, and Visual & Performing Arts). Each is scored separately and can be taken individually or together.
A scaled score of 220 on each subtest. The subtests pass independently — you only need to retake the subtest(s) you don't pass. Each subtest mixes multiple-choice (70% of the score) and constructed-response questions (30%).
Subtests I and II each have 52 multiple-choice and 4 constructed-response questions (3 hours each). Subtest III has 39 multiple-choice and 3 constructed-response questions (2 hours 15 minutes).
Study one subtest at a time, since each is scored on its own. Read each domain, take the checkpoint to find gaps, then drill that domain with our free practice test and flashcards. This guide is a high-yield overview, not a full subject textbook.
Yes — the full guide, the checkpoints, the glossary, the practice test, and the flashcards are 100% free with no account required.
References
- 1.California Commission on Teacher Credentialing. “Multiple Subject Teaching Credential (CL-561C).” CTC.ca.gov. ↑
- 2.California Commission on Teacher Credentialing. “Subject Matter Requirements.” CTC.ca.gov. ↑
- 3.Pearson / Evaluation Systems. “CSET: Multiple Subjects (Test Page).” ctcexams.nesinc.com. ↑
- 4.Pearson / Evaluation Systems. “CSET: Multiple Subjects Preparation Materials.” ctcexams.nesinc.com. ↑
- 5.Pearson / Evaluation Systems. “Test Structure — Multiple Subjects (101/214/225).” ctcexams.nesinc.com. ↑
- 6.Pearson / Evaluation Systems. “Test Guide — Subtest I Description (Reading, Language & Literature; History & Social Science).” ctcexams.nesinc.com. ↑
- 7.Pearson / Evaluation Systems. “Test Guide — Subtest II Description (Science; Mathematics).” ctcexams.nesinc.com. ↑
- 8.Pearson / Evaluation Systems. “Test Guide — Subtest III Description (PE; Human Development; Visual & Performing Arts).” ctcexams.nesinc.com. ↑
- 9.Pearson / Evaluation Systems. “Multiple Subjects Subject Matter Requirements (SMR).” ctcexams.nesinc.com. ↑
- 10.Pearson / Evaluation Systems. “General Information About the CSET Program.” ctcexams.nesinc.com. ↑
- 11.Pearson / Evaluation Systems. “Sample Test Questions — Subtest I.” ctcexams.nesinc.com. ↑
- 12.Pearson / Evaluation Systems. “Sample Test Questions — Subtest II.” ctcexams.nesinc.com. ↑
- 13.Pearson / Evaluation Systems. “Sample Test Questions — Subtest III.” ctcexams.nesinc.com. ↑
- 14.California Department of Education. “California Common Core State Standards: English Language Arts & Literacy.” CDE.ca.gov. ↑
- 15.California Department of Education. “History–Social Science Framework for California Public Schools, K–12.” CDE.ca.gov. ↑
- 16.California Department of Education. “California Next Generation Science Standards (CA NGSS).” CDE.ca.gov. ↑
- 17.California Department of Education. “Mathematics Framework & CA Common Core Standards for Mathematics.” CDE.ca.gov. ↑
- 18.California Department of Education. “Physical Education Model Content Standards.” CDE.ca.gov. ↑
- 19.California Department of Education. “Child Development / Preschool Curriculum Frameworks.” CDE.ca.gov. ↑
- 20.California Department of Education. “California Arts Education Framework & Arts Standards, TK–12.” CDE.ca.gov. ↑
- 21.California Department of Education. “California ELA/ELD Framework.” California Department of Education. ↑
- 22.California Department of Education. “History-Social Science Content Standards for California Public Schools (K-12).” California Department of Education. ↑
- 23.California Department of Education. “Historical and Social Sciences Analysis Skills.” California Department of Education. ↑
- 24.California Commission on Teacher Credentialing. “Subject Matter Requirements: Subject Matter Domains by Exam.” California Commission on Teacher Credentialing. ↑
- 25.California Department of Education. “2016 Science Framework for California Public Schools (CA NGSS).” California Department of Education. ↑
- 26.National Science Teaching Association / NGSS. “Next Generation Science Standards: The Three Dimensions of Science Learning.” National Science Teaching Association / NGSS. ↑
- 27.California Department of Education. “California Common Core State Standards: Mathematics.” California Department of Education. ↑
- 28.National Council of Teachers of Mathematics (NCTM). “Principles and Standards for School Mathematics.” National Council of Teachers of Mathematics (NCTM). ↑
- 29.California Department of Education. “Physical Education Framework for California Public Schools (2009).” California Department of Education. ↑
- 30.California Department of Education. “California Arts Standards for Public Schools, Prekindergarten Through Grade Twelve.” California Department of Education. ↑
- 31.California Department of Education. “California Arts Standards (full standards PDF).” California Department of Education. ↑
- 32.California Commission on Teacher Credentialing. “Subject Matter Domains and CSET Examinations by Subtest.” California Commission on Teacher Credentialing. ↑
Sources for the concept answers
Every answer in the CSET concept questions above is drawn from an official primary source:

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