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The central message, lesson, or insight about life that a literary work conveys. It is usually implied rather than stated — for example, a story about a closed factory may carry the theme of communities lost to economic change.
Main idea
The most important point a passage makes — what the text is mostly about. Supporting details, examples, and reasons all back up the main idea, which may be stated in a topic sentence or implied.
Supporting detail
A fact, example, reason, or explanation that develops or proves the main idea. Strong readers separate central points from the details that elaborate them.
Inference
A logical conclusion the reader draws by combining clues in the text with prior knowledge. The conclusion is not stated outright but is supported by evidence in the passage.
Fact versus opinion
A fact can be verified or proven true (the river is 300 miles long); an opinion expresses a belief, judgment, or feeling that cannot be proven (the river is beautiful). Distinguishing them is key to evaluating arguments.
Author's purpose
The reason an author writes a text: to inform, to persuade, to entertain, or to explain. Recognizing purpose helps readers judge tone, word choice, and reliability.
Point of view
The perspective from which a story is told. First person uses 'I' and is limited to one narrator; third-person limited follows one character; third-person omniscient knows all characters' thoughts.
Tone
The author's attitude toward the subject or audience, conveyed through word choice — for example, sarcastic, hopeful, somber, or playful. Tone reflects the writer; mood is what the reader feels.
Mood
The emotional atmosphere a text creates in the reader, shaped by setting, imagery, and word choice — such as tense, peaceful, eerie, or joyful.
Setting
The time and place in which a story occurs, including the social and historical context. Setting can shape characters, drive conflict, and influence mood.
Characterization
How an author reveals a character's personality — directly (telling the reader) or indirectly (through the character's actions, speech, thoughts, and how others react).
Imagery
Vivid, descriptive language that appeals to the five senses — sight, sound, smell, taste, and touch — helping readers picture and feel a scene.
Metaphor
A figure of speech that states one thing IS another to draw a comparison, without using 'like' or 'as' — for example, 'time is a thief.'
Simile
A comparison of two unlike things using 'like' or 'as' — for example, 'as brave as a lion' or 'fought like a tiger.'
Personification
Giving human qualities, actions, or emotions to animals, objects, or ideas — for example, 'the wind whispered through the trees.'
Hyperbole
Deliberate, obvious exaggeration used for emphasis or effect, not meant to be taken literally — for example, 'I've told you a million times.'
Symbolism
Using an object, person, or action to represent a larger idea — for example, a dove symbolizing peace or a road symbolizing life's journey.
Foreshadowing
Hints or clues an author plants early in a text that suggest what will happen later, building suspense and anticipation.
Irony
A contrast between expectation and reality. Verbal irony says the opposite of what is meant; situational irony is when the outcome differs from what is expected; dramatic irony is when the reader knows what a character does not.
Alliteration
The repetition of the same beginning consonant sound in nearby words — for example, 'the slithering snake slid silently.'
Genre
A category of literature defined by form and content — such as fiction, nonfiction, poetry, drama, biography, or folktale. Each genre has typical features readers expect.
Fiction versus nonfiction
Fiction is invented narrative (novels, short stories, fables); nonfiction presents factual information about real people, events, or ideas (biographies, essays, articles).
Poetry
A genre that uses condensed, rhythmic, often figurative language arranged in lines and stanzas. It frequently relies on imagery, sound devices, and meter to create meaning and feeling.
Drama
A genre written to be performed, told largely through dialogue and stage directions, and divided into acts and scenes.
Fable
A short story, often with animal characters, that teaches a clear moral or lesson — such as Aesop's tale of the tortoise and the hare.
Context clues
Words and phrases surrounding an unfamiliar word that help a reader infer its meaning — through definition, example, synonym, antonym, or general sense.
Prefix
A word part added to the beginning of a base word that changes its meaning — for example, 're-' (again) in 'rewrite' or 'un-' (not) in 'unhappy.'
Suffix
A word part added to the end of a base word that changes its meaning or part of speech — for example, '-less' (without) in 'fearless' or '-tion' (act of) in 'creation.'
Root word
The base part of a word that carries its core meaning, to which prefixes and suffixes attach — for example, the Latin root 'port' (carry) in 'transport' and 'portable.'
Synonym and antonym
A synonym is a word with nearly the same meaning as another (happy/glad); an antonym is a word with the opposite meaning (happy/sad).
Denotation and connotation
Denotation is a word's literal dictionary meaning; connotation is the emotional or cultural association it carries — 'thrifty' and 'cheap' have similar denotations but different connotations.
Subject and predicate
Every complete sentence has a subject (who or what the sentence is about) and a predicate (what the subject does or is). 'The dog barked' has subject 'dog' and predicate 'barked.'
Subject-verb agreement
A verb must agree in number with its subject: singular subjects take singular verbs and plural subjects take plural verbs — 'The student writes' but 'The students write.'
Noun
A word that names a person, place, thing, or idea. Common nouns are general (city); proper nouns name specific things and are capitalized (Chicago).
Pronoun and antecedent
A pronoun (he, she, it, they) stands in for a noun; its antecedent is the noun it replaces. The pronoun must agree with its antecedent in number and gender.
Verb tense
The form of a verb that shows when an action happens — past (walked), present (walks), or future (will walk). Consistent tense keeps writing clear.
Adjective and adverb
An adjective describes a noun or pronoun (a red car); an adverb describes a verb, adjective, or other adverb and often ends in -ly (ran quickly).
Complete sentence
A group of words with a subject and a predicate that expresses a complete thought. It must stand on its own — unlike a fragment, which is incomplete.
Sentence fragment
An incomplete sentence that is missing a subject, a verb, or a complete thought — for example, 'Because the rain fell.' It should be revised into a full sentence.
Run-on sentence
Two or more independent clauses joined incorrectly without proper punctuation or a conjunction. A comma splice is one type, fixed with a period, semicolon, or conjunction.
Comma usage
Commas separate items in a series, set off introductory elements, divide independent clauses joined by a conjunction, and enclose nonessential information.
Apostrophe
A punctuation mark used to show possession (the dog's bone) or to form contractions (do not becomes don't). It is not used to make ordinary nouns plural.
Capitalization rules
Capitalize the first word of a sentence, proper nouns (names, places, days, months), the pronoun 'I', and the main words in titles.
The writing process
The recursive stages of producing writing: prewriting (brainstorming and planning), drafting, revising (improving content and organization), editing (fixing grammar and mechanics), and publishing.
Revising versus editing
Revising improves the substance of writing — ideas, organization, clarity, and word choice. Editing corrects surface errors in grammar, spelling, punctuation, and mechanics.
Thesis statement
A single sentence that states the main claim or central argument of an essay, usually near the end of the introduction, guiding the whole piece.
Topic sentence
The sentence, usually at the start of a paragraph, that states the paragraph's main idea. The rest of the paragraph supports it with details.
Audience and purpose
Effective writers adjust their word choice, tone, and level of formality to fit their intended audience and their reason for writing — informing, persuading, or entertaining.
Text structure
The organizational pattern of a passage — chronological/sequence, cause and effect, compare and contrast, problem and solution, or description. Recognizing structure aids comprehension.
Summary versus paraphrase
A summary restates only the main points of a text in condensed form; a paraphrase restates a passage fully in one's own words at roughly the same length. Both avoid the original wording.
Place value
The value a digit has because of its position in a number. In 4,873 the digit 8 means 8×100=800.
Order of operations
The agreed sequence for evaluating expressions — PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), then Addition and Subtraction. So 2+3×4=2+12=14.
Prime and composite numbers
A prime number has exactly two factors, 1 and itself (such as 2,3,5,7); a composite number has more than two factors (such as 4,6,9). The number 1 is neither.
Greatest common factor (GCF)
The largest whole number that divides two or more numbers evenly. The GCF of 12 and 18 is 6. It is used to simplify fractions.
Least common multiple (LCM)
The smallest positive number that is a multiple of two or more numbers. The LCM of 4 and 6 is 12. It is used to find common denominators.
Equivalent fractions
Different fractions that represent the same value, formed by multiplying or dividing the numerator and denominator by the same nonzero number: 21=42=63.
Adding and subtracting fractions
Rewrite the fractions with a common denominator, then add or subtract the numerators: 31+61=62+61=63=21.
Multiplying fractions
Multiply the numerators together and the denominators together, then simplify: 32×43=126=21.
Dividing fractions
Multiply the first fraction by the reciprocal of the second: 21÷43=21×34=64=32.
Converting fractions and decimals
Divide the numerator by the denominator to get a decimal: 43=0.75. To convert a decimal to a fraction, write the digits over the place value: 0.6=106=53.
Percent
A ratio comparing a number to 100. To find a percent of a number, multiply by the decimal form: 25% of 80 is 0.25×80=20.
Percent change
The amount of increase or decrease as a percent of the original: percent change =oldnew−old×100. Going from 40 to 50 is a 25% increase.
Ratio
A comparison of two quantities by division, written as a:b or ba. A ratio of 3 cups flour to 2 cups sugar is 3:2.
Proportion
An equation stating that two ratios are equal: ba=dc. Solve by cross-multiplying: if 43=12x, then 4x=36 and x=9.
Unit rate
A rate with a denominator of 1, such as miles per hour or price per item. If 6 apples cost $3, the unit rate is $0.50 per apple.
Estimation and rounding
Replacing numbers with nearby, easier values to approximate an answer. Rounding 487 to the nearest hundred gives 500; estimation checks whether a calculated answer is reasonable.
Variable
A symbol, usually a letter, that represents an unknown or changing number — for example, x in the expression 3x+5.
Algebraic expression
A combination of numbers, variables, and operations with no equals sign — such as 4x−7. It can be evaluated when the variable's value is known.
Evaluating an expression
Substituting given values for the variables and simplifying. For 2x+3 when x=4: 2(4)+3=11.
Combining like terms
Adding or subtracting terms that have the same variable raised to the same power: 3x+5x=8x, and 7y−2y=5y. Constants combine separately.
Solving a linear equation
Isolate the variable using inverse operations on both sides. For 2x+5=13: subtract 5 to get 2x=8, then divide by 2 to get x=4.
Distributive property
Multiplying a factor across a sum: a(b+c)=ab+ac. For example, 3(x+4)=3x+12.
Inequality
A statement that two quantities are not equal, using <,>,≤, or ≥. When multiplying or dividing both sides by a negative, reverse the inequality sign.
Coordinate plane
A grid formed by a horizontal x-axis and vertical y-axis meeting at the origin (0,0). Points are located by ordered pairs (x,y).
Slope
The steepness of a line, equal to rise over run: m=x2−x1y2−y1. A positive slope rises left to right; a negative slope falls.
Slope-intercept form
A linear equation written as y=mx+b, where m is the slope and b is the y-intercept (where the line crosses the y-axis).
Function
A relationship that assigns exactly one output to each input. Tested with the vertical line test: if any vertical line crosses a graph more than once, it is not a function.
Perimeter
The total distance around the outside of a two-dimensional figure, found by adding all side lengths. A rectangle's perimeter is P=2l+2w.
Area of a rectangle
The space inside a rectangle, found by multiplying length times width: A=l×w. A rectangle 5 by 3 has area 15 square units.
Area of a triangle
Half the base times the height: A=21bh. A triangle with base 8 and height 5 has area 20.
Circumference of a circle
The distance around a circle: C=2πr or C=πd, where r is the radius and d the diameter.
Area of a circle
The space inside a circle: A=πr2, where r is the radius. A circle with radius 3 has area 9π≈28.3 square units.
Volume of a rectangular prism
The space inside a box: V=l×w×h (length times width times height). A box 2 by 3 by 4 holds 24 cubic units.
Pythagorean theorem
In a right triangle, the square of the hypotenuse equals the sum of the squares of the legs: a2+b2=c2. For legs 3 and 4, the hypotenuse is 5.
Types of angles
An acute angle is less than 90∘; a right angle equals 90∘; an obtuse angle is between 90∘ and 180∘; a straight angle equals 180∘.
Unit conversion
Converting a measurement from one unit to another using known relationships — for example, 1 foot =12 inches, so 3 feet =36 inches. In metric, prefixes scale by powers of 10.
Scale and proportion in models
A scale relates a model or map measurement to a real distance. If a map scale is 1 inch =50 miles, then 3 inches represents 150 miles.
Mean (average)
The sum of all values divided by how many there are. For 4,8,6: 34+8+6=6.
Median
The middle value of a data set arranged in order. For an even count, average the two middle numbers. The median resists outliers better than the mean.
Mode
The value that appears most often in a data set. A set can have one mode, more than one mode, or no mode at all.
Range
A measure of spread equal to the greatest value minus the least value in a data set. For 3,7,10, the range is 10−3=7.
Probability
The likelihood of an event, equal to favorable outcomes divided by total possible outcomes, ranging from 0 to 1. Rolling a 4 on a die has probability 61.
Independent and dependent events
Independent events do not affect each other's outcome (two coin flips); for dependent events one outcome changes the next (drawing cards without replacing them).
Interpreting a bar graph
A bar graph compares amounts across categories using the height or length of bars. Read the axis labels and scale to compare values and identify the greatest or least.
Interpreting a line graph
A line graph shows how a quantity changes over time, with a line connecting plotted points. Rising lines show increases; falling lines show decreases; slope shows the rate.
Interpreting a circle graph
A circle (pie) graph shows parts of a whole as sectors, with the entire circle equal to 100%. A 90∘ sector represents one-quarter of the total.
Translating word problems
Expressing a word problem algebraically: 'five more than twice a number' becomes 2x+5. Key words signal operations — 'sum' means add, 'product' means multiply.
Exponent
A small raised number showing how many times a base is multiplied by itself: 23=2×2×2=8. Any nonzero number to the power 0 equals 1.
Square root
A value that, when multiplied by itself, gives the original number: 36=6 because 6×6=36. It is the inverse of squaring.
Reading and ordering numbers
Comparing values using place value, decimals, and number lines. To order 0.5,0.45,0.6, align decimals: 0.45<0.5<0.6.
Declaration of Independence
The 1776 document, drafted mainly by Thomas Jefferson, declaring the thirteen colonies independent from Britain and asserting that all are created equal with rights to life, liberty, and the pursuit of happiness.
U.S. Constitution
The supreme law of the United States, ratified in 1788, that establishes the framework of the federal government, divides power among three branches, and defines the relationship between the national and state governments.
Bill of Rights
The first ten amendments to the Constitution, ratified in 1791, guaranteeing individual liberties such as freedom of speech, religion, the press, the right to bear arms, and protection against unreasonable searches.
Separation of powers
The division of federal government into three branches — legislative (Congress, makes laws), executive (the President, enforces laws), and judicial (the courts, interprets laws) — to prevent any one branch from gaining too much power.
Checks and balances
The system that lets each branch of government limit the others — for example, the President can veto laws, Congress can override vetoes and impeach, and courts can rule laws unconstitutional.
Federalism
The division of power between a national (federal) government and state governments, with some powers shared and others reserved to each level.
Three branches of government
The legislative branch (Congress) makes laws; the executive branch (President) enforces laws; the judicial branch (Supreme Court and lower courts) interprets laws and resolves disputes.
Legislative branch
Congress, made up of the Senate (two senators per state) and the House of Representatives (apportioned by population). It writes and passes federal laws and controls spending.
Rights and responsibilities of citizens
U.S. citizens have rights such as voting and free speech, and responsibilities such as obeying laws, paying taxes, serving on juries, and participating in civic life.
Democracy versus other systems
In a democracy, power rests with the people, who govern directly or through elected representatives. This contrasts with monarchy (rule by a king/queen), dictatorship (rule by one person), and oligarchy (rule by a few).
Suffrage and voting
Suffrage is the right to vote. It expanded through amendments: the 15th (race), the 19th (women, 1920), and the 26th (age 18). Voting is a core form of civic participation.
American Revolution
The 1775–1783 war in which the thirteen colonies won independence from Great Britain, driven by disputes over taxation without representation and self-government.
Civil War
The 1861–1865 conflict between the Union (North) and the Confederacy (South), fought largely over slavery and states' rights, ending in Union victory and the abolition of slavery.
Abraham Lincoln
The 16th U.S. president, who led the Union through the Civil War, issued the Emancipation Proclamation freeing enslaved people in Confederate states, and delivered the Gettysburg Address.
Emancipation Proclamation
Lincoln's 1863 order declaring enslaved people in Confederate-held territory to be free, shifting the war's purpose toward ending slavery and paving the way for the 13th Amendment.
Reconstruction
The period after the Civil War (1865–1877) when the nation worked to rebuild the South and integrate freed people, marked by the 13th, 14th, and 15th Amendments.
Industrial Revolution
The shift from hand production to machine manufacturing in factories during the 18th and 19th centuries, transforming economies, cities, transportation, and daily life.
Immigration and cultural diffusion
The movement of people into a country, bringing languages, customs, foods, and ideas that spread and blend with existing cultures — a major force in U.S. social history.
Civil rights movement
The mid-20th-century struggle to end racial segregation and discrimination in the United States, led by figures such as Martin Luther King Jr., producing laws like the Civil Rights Act of 1964.
Susan B. Anthony
A leader of the 19th- and early 20th-century women's suffrage movement in the United States whose work helped lead to the 19th Amendment, which granted women the right to vote.
Mohandas Gandhi
The leader of India's independence movement against British rule who championed nonviolent civil disobedience, influencing civil rights movements worldwide.
Eleanor Roosevelt
A U.S. first lady and human rights advocate who chaired the United Nations committee that produced the Universal Declaration of Human Rights in 1948.
World War II
The global conflict of 1939–1945 between the Allied and Axis powers, ending with Allied victory, the Holocaust's exposure, and the United States and Soviet Union emerging as superpowers.
Ancient civilizations
Early societies such as Mesopotamia, Egypt, Greece, and Rome that developed writing, law, government, and technology, laying foundations for later cultures.
Renaissance
A period of renewed interest in art, learning, and classical knowledge in Europe from roughly the 14th to 17th centuries, producing advances in science, painting, and humanist thought.
Primary versus secondary source
A primary source is firsthand evidence from the time studied (a letter, photo, or the Constitution); a secondary source interprets or analyzes primary sources (a textbook or article).
Five themes of geography
Location, place, human-environment interaction, movement, and region — the framework geographers use to organize the study of the Earth and human activity.
Latitude and longitude
Lines of latitude run east-west and measure distance north or south of the equator; lines of longitude run north-south and measure distance east or west of the prime meridian. Together they locate any point on Earth.
Map elements
Tools that make a map usable: the title, legend or key (explains symbols), compass rose (directions), and scale (relates map distance to real distance).
Human-environment interaction
The ways people adapt to, depend on, and modify their natural surroundings — such as building dams, farming, or constructing cities — and the consequences of those changes.
Continents and oceans
Earth's seven continents are Africa, Antarctica, Asia, Australia, Europe, North America, and South America; its major oceans are the Pacific, Atlantic, Indian, Arctic, and Southern.
Region
An area defined by shared features — physical (a desert), cultural (a language area), or political (a state or country). Geographers use regions to organize and compare places.
Supply and demand
Demand is how much consumers want at various prices; supply is how much producers offer. Price tends to settle where the two meet — the equilibrium price.
Scarcity
The fundamental economic problem that resources are limited while human wants are unlimited, forcing individuals and societies to make choices about how to use them.
Opportunity cost
The value of the next-best alternative given up when a choice is made. Choosing to spend money on one item means forgoing what that money could have bought instead.
Goods and services
Goods are tangible products you can touch (food, cars); services are intangible actions performed for others (teaching, haircuts). Both satisfy economic wants.
Producers and consumers
Producers make goods or provide services; consumers buy and use them. The flow of money and resources between them drives a market economy.
Market economy
An economic system in which prices, production, and distribution are determined mainly by supply and demand and private decisions, with limited government control.
Money and trade
Money is a medium of exchange, a store of value, and a unit of account that makes trade easier than bartering. Trade lets people and nations specialize and exchange surpluses.
Imperialism
A policy of extending a nation's power by acquiring colonies or controlling other territories economically and politically, prominent in the 19th and early 20th centuries.
Branches' powers: judicial
The judicial branch interprets laws and the Constitution. Through judicial review, established in Marbury v. Madison (1803), courts can declare laws unconstitutional.
Amendment process
The Constitution can be changed by an amendment, typically proposed by a two-thirds vote of both houses of Congress and ratified by three-fourths of the states.
Taxation
The collection of money by governments from citizens and businesses to fund public services such as schools, roads, and defense. Paying taxes is a civic responsibility.
Westward expansion
The 19th-century movement of U.S. settlers westward, encouraged by ideas like Manifest Destiny, which displaced Native American nations and reshaped the continent.
Native American nations
The diverse Indigenous peoples who lived across the Americas before and after European contact, with distinct cultures, governments, and lands later affected by colonization and expansion.
European exploration
The 15th- and 16th-century voyages by nations such as Spain, Portugal, England, and France that connected Europe, Africa, and the Americas and launched colonization.
Cold War
The post-WWII period of political and military tension (roughly 1947–1991) between the United States and the Soviet Union, marked by an arms race, proxy wars, and ideological rivalry.
Civic participation
The ways citizens engage in their communities and government — voting, volunteering, serving on juries, contacting officials, and staying informed — sustaining a democracy.
Fact versus opinion in documents
Reading historical documents critically by separating verifiable facts from the author's beliefs or perspective, and recognizing that sources may reflect bias or limited viewpoints.
Multiple perspectives in history
Recognizing that an event can be understood differently depending on who is telling it, and that historians weigh varied sources to build a fuller, more accurate account.
Scientific method
A systematic process of inquiry: ask a question, form a hypothesis, design and conduct an experiment, collect and analyze data, and draw a conclusion based on evidence.
Hypothesis
A testable, tentative explanation or prediction for an observation, often stated as an if-then statement. It can be supported or rejected by experimental evidence but is never 'proven' absolutely.
Theory versus hypothesis
A hypothesis is a single testable prediction; a scientific theory is a well-supported, broad explanation backed by extensive evidence (such as the theory of evolution). A theory is far stronger than a guess.
Independent and dependent variables
The independent variable is the factor the experimenter changes; the dependent variable is what is measured in response. Controlled variables are kept constant to ensure a fair test.
Control group
The group in an experiment that does not receive the treatment, used as a baseline for comparison with the experimental group to judge the effect of the variable being tested.
Cell
The basic structural and functional unit of all living things. Organisms may be single-celled or multicellular, and cells carry out the processes that sustain life.
Plant versus animal cells
Both have a nucleus, cytoplasm, and cell membrane. Plant cells additionally have a rigid cell wall, chloroplasts for photosynthesis, and a large central vacuole; animal cells do not.
Photosynthesis
The process by which plants convert sunlight, water, and carbon dioxide into glucose and oxygen: \ce{6CO2 + 6H2O -> C6H12O6 + 6O2}, using energy from the sun captured by chlorophyll.
Cellular respiration
The process cells use to release energy from glucose: \ce{C6H12O6 + 6O2 -> 6CO2 + 6H2O}, producing usable energy. It is essentially the reverse of photosynthesis.
Ecosystem
A community of living organisms interacting with one another and with their nonliving environment (water, soil, air, sunlight) in a particular area.
Food chain and food web
A food chain shows the flow of energy from producers to consumers (grass to rabbit to fox); a food web links many overlapping food chains in an ecosystem.
Producers, consumers, decomposers
Producers (plants) make their own food; consumers eat other organisms; decomposers (fungi, bacteria) break down dead matter, recycling nutrients back into the ecosystem.
Genetics and heredity
The study of how traits pass from parents to offspring through genes, which are segments of DNA. Each parent contributes alleles that determine inherited characteristics.
DNA
Deoxyribonucleic acid, the molecule that carries genetic instructions in living organisms, shaped as a double helix and made of paired bases that encode traits.
Dominant and recessive traits
A dominant allele masks a recessive one when both are present. A recessive trait appears only when an organism has two recessive alleles, as in classic Punnett-square genetics.
Natural selection
The process by which organisms better adapted to their environment tend to survive and reproduce more, passing favorable traits to offspring — the mechanism of evolution Darwin described.
Matter and its states
Matter is anything with mass and volume. Its common states are solid (fixed shape and volume), liquid (fixed volume, takes container's shape), and gas (fills its container).
Physical versus chemical change
A physical change alters form but not identity (ice melting, paper torn); a chemical change forms new substances (rust, burning, baking) and is usually hard to reverse.
Atom
The smallest unit of an element that retains its properties, made of protons and neutrons in a nucleus surrounded by electrons. Atoms combine to form molecules.
Element versus compound
An element is a pure substance of one kind of atom (oxygen, \ce{O2}); a compound is two or more elements chemically bonded in fixed ratios (water, \ce{H2O}).
Periodic table
A chart that organizes all known elements by increasing atomic number, grouping those with similar properties into columns (groups) and rows (periods).
Mixture versus solution
A mixture combines substances that keep their own properties and can be separated physically; a solution is a uniform mixture in which one substance dissolves in another (salt in water).
Acids and bases
Acids taste sour and have a pH below 7 (such as \ce{HCl}); bases feel slippery and have a pH above 7 (such as \ce{NaOH}). A pH of 7 is neutral, like pure water.
Force
A push or pull that can change an object's motion or shape. Forces have both magnitude and direction and are measured in newtons.
Newton's first law
The law of inertia: an object at rest stays at rest and an object in motion stays in motion at constant velocity unless acted on by an unbalanced force.
Newton's second law
The acceleration of an object depends on the net force and its mass: F=ma. A larger force produces more acceleration; greater mass produces less.
Newton's third law
For every action there is an equal and opposite reaction. When you push on a wall, the wall pushes back on you with equal force in the opposite direction.
Gravity
The attractive force between objects with mass. Earth's gravity pulls objects toward its center, giving them weight and causing them to fall when dropped.
Speed, velocity, acceleration
Speed is distance over time; velocity is speed with a direction; acceleration is the rate at which velocity changes. Speeding up, slowing down, or turning are all acceleration.
Energy and its forms
Energy is the ability to do work. Forms include kinetic (motion), potential (stored), thermal, chemical, electrical, and light. Energy can change form but is not created or destroyed.
Conservation of energy
Energy cannot be created or destroyed, only transformed from one form to another. A falling ball converts potential energy into kinetic energy.
Heat transfer
Thermal energy moves by conduction (direct contact), convection (through moving fluids), and radiation (electromagnetic waves, such as the Sun's heat reaching Earth).
Electricity and circuits
An electric current is a flow of charge through a conductor. A complete circuit forms a closed loop; a series circuit has one path, while a parallel circuit has multiple paths.
Sound and light waves
Sound is a mechanical wave that needs a medium to travel; light is an electromagnetic wave that can travel through a vacuum. Both can be reflected, refracted, and absorbed.
The water cycle
The continuous movement of water through evaporation (liquid to vapor), condensation (vapor to clouds), precipitation (rain or snow), and collection in oceans, lakes, and groundwater.
Rock cycle
The ongoing process by which rocks change among three types: igneous (cooled magma), sedimentary (compacted sediments), and metamorphic (changed by heat and pressure).
Plate tectonics
The theory that Earth's outer shell is divided into moving plates whose interactions cause earthquakes, volcanoes, mountain building, and the slow drift of continents.
Earthquakes and volcanoes
Earthquakes are sudden ground movements caused by energy released along faults; volcanoes form where magma reaches the surface. Both occur mainly at tectonic plate boundaries.
Weathering and erosion
Weathering breaks rock into smaller pieces in place (by water, ice, or chemicals); erosion is the transport of those pieces by wind, water, ice, or gravity to a new location.
Weather versus climate
Weather is the day-to-day state of the atmosphere (temperature, rain, wind); climate is the long-term average of weather patterns in a region over many years.
The atmosphere
The layers of gases surrounding Earth — mostly nitrogen and oxygen — that provide air to breathe, trap heat, shield against radiation, and drive weather.
Solar system
The Sun and the objects bound to it by gravity, including the eight planets, their moons, dwarf planets, asteroids, and comets. Earth is the third planet from the Sun.
Phases of the Moon
The changing sunlit portions of the Moon we see — new, crescent, quarter, gibbous, and full — caused by the Moon's orbit around Earth over about a month.
Ocean tides
The regular rise and fall of sea level caused mainly by the gravitational pull of the Moon, and to a lesser extent the Sun, on Earth's oceans.
Stars and galaxies
Stars are massive balls of gas that produce light and heat through nuclear fusion; galaxies are vast collections of billions of stars, gas, and dust, such as our Milky Way.
Scientific tools and measurement
Instruments scientists use to observe and measure: thermometers (temperature), microscopes (small objects), balances (mass), and graduated cylinders (volume). The metric system standardizes units.
Units of measurement
Standard units quantify properties: temperature (degrees Celsius), mass (grams), length (meters), volume (liters), and energy (joules), most expressed in the metric (SI) system.
Greenhouse effect
The trapping of heat near Earth's surface by gases such as carbon dioxide (\ce{CO2}) and methane (\ce{CH4}). It keeps Earth warm, but excess gases intensify warming.
Renewable and nonrenewable resources
Renewable resources replenish naturally within a human lifetime (solar, wind, water); nonrenewable resources are finite and take ages to form (coal, oil, natural gas).
Science, technology, and society
Science and technology shape human life and the environment — affecting public health, pollution, waste disposal, and resource use — and raise choices societies must weigh.
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200+ free Praxis 5511 flashcards — 4 ways to study
Praxis 5511 Flashcard of the Day
The classic card. Do you know this one?
Pair each term to its definition⏱ 0:00
A timed game — your best time is saved.
Definition
Ask a question, form a hypothesis, experiment, analyze data, and conclude from evidence.
Recalling beats recognizing — can you produce the term from memory?
Which term matches this definition?
Which document declared the thirteen colonies independent from Britain in 1776?
Quiz mode turns every card into a question like this.
Click Study Flashcards above to open the flashcard hub — 200 Praxis 5511 cards you can flip, match, type, or quiz yourself on. Every card is drawn from the four ETS content categories for the Fundamental Subjects: Content Knowledge (5511) test, so you study exactly what the exam measures.[2] Pair them with our free practice test and study guide.
Praxis 5511 is one of the Praxis exams — explore our Praxis flashcards to compare and prep across the whole family.
Praxis 5511 Flashcard Study Modes
Most flashcard sites give you one thing: a card to flip. Ours has four modes so you can both learn the material and prove you know it — the difference between recognizing a fact and recalling it under exam pressure.
Flip (Study) — the classic card. Flip term ↔ definition, shuffle the deck, and mark each card “Got it” or “Still learning.”
Match (Game) — a timed game: pair each term to its definition as fast as you can. Great for cementing vocabulary, formulas, and key facts.
Type (Recall) — read the definition and type the term. Typing forces true active recall instead of passive recognition.
Quiz (Test) — multiple-choice questions generated from the cards, so you self-test exactly like exam day.
Why Flashcards Work for the Praxis 5511
Flashcards aren’t busywork — they’re built on active recall: pulling an answer out of memory strengthens it far more than re-reading notes. Pair that with spacing — short sessions across several days rather than one cram — and you retain more in less time.
The Praxis 5511 is a broad generalist exam, testing fundamentals across four subjects that may fall outside your specialty.[1] That makes spaced flashcards the most efficient way to build and keep a wide base of definitions, rules, and facts. Used alongside our practice test and study guide, they turn review time into measurable progress.
Praxis 5511 Flashcards by Subject
The cards are organized by the 5511’s four ETS content categories. All four are weighted equally — 25% each — so balance your time across every subject:[2]
Praxis 5511 flashcards by ETS content category
Content category
Approx. weight
What the cards cover
English Language Arts
25%
Reading comprehension, main idea and inference, literary devices and genres, grammar, usage and mechanics, vocabulary, and the writing process
Mathematics
25%
Number sense, fractions, decimals and percents, ratios and proportions, algebra, geometry and measurement, and data, statistics, and probability
Citizenship and Social Science
25%
US and world history, government, the Constitution and civics, geography and map skills, and basic economics
Science
25%
Life science (cells, ecosystems, genetics), physical science (matter, forces, energy), Earth and space science, and the scientific method
How to Get the Most Out of These Flashcards
Balance all four subjects. Each category is 25% of the exam, so no single subject can be skipped — give weak areas extra passes.
Master the staples. Use Match and Type to lock in literary terms, fraction and percent rules, the three branches of government, and the core science processes.
Use Type and Quiz, not just Flip. Recognizing the right answer is easy; recalling and choosing it under pressure is the real test.
Then prove it. When the cards feel easy, confirm with the full practice test — read every rationale before exam day.
Praxis 5511 Flashcards FAQ
Two hundred free Praxis Fundamental Subjects: Content Knowledge (5511) flashcards, organized across all four ETS content categories — English Language Arts, Mathematics, Citizenship and Social Science, and Science. They're free with no account required.
Yes. Flashcards use active recall — pulling an answer from memory — which research shows is one of the most effective study methods, especially in short, spaced sessions. Because the 5511 is a broad generalist exam covering four subjects, the cards are an efficient way to make a wide base of definitions, rules, and facts automatic before test day.
All four subjects: English Language Arts (reading comprehension, literary devices, grammar and usage, vocabulary, and the writing process), Mathematics (numbers and operations, fractions, percents, ratios, algebra, geometry, and data and probability), Citizenship and Social Science (US and world history, government and the Constitution, geography, and economics), and Science (life science, physical science, Earth and space science, and the scientific method).
All four subjects are weighted equally at 25% each, so give each one balanced attention. Lead with whichever subject is your weakest, since the 5511 tests general fundamentals that may fall outside your specialty. Mix the modes: flip to learn, type to test recall, match for speed, and quiz to check yourself before working full practice questions.
Yes — 100% free, all four study modes, no paywall and no sign-up.
Yes. The cards are organized to ETS's current four content categories for the Fundamental Subjects: Content Knowledge (5511) test, as published in the official 5511 Study Companion. The Mathematics section provides an on-screen scientific calculator, so the math cards focus on understanding and quick recall, not heavy arithmetic.
The 5511 assesses general content knowledge in subjects that may lie outside a teacher's specialization — a broad fundamentals check often required for middle or secondary teachers and for alternative-route licensure. It covers 120 selected-response questions in 120 minutes.
The 5511 is reported on a 100-200 scaled score. ETS does not set the passing score; each state sets its own requirement, commonly around 142-156 with 150 the most common cut score. Always verify the passing score for your state.
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