Praxis Fundamental Subjects key terms
Praxis Fundamental Subjects · Get comfortable with the vocabulary.
- main idea
- Related: supporting detail, theme
The central point or message a text conveys about its topic. Readers identify it by asking what the passage is mostly about and checking which statement the supporting details all reinforce.
- inference
- Related: explicit evidence, main idea
A conclusion drawn from evidence in a text plus the reader's own reasoning, rather than stated directly. Valid inferences must be supported by clues in the passage and consistent with the whole text.
- explicit evidence
- Related: inference, textual citation
Information stated directly in a text, such as a quoted sentence or a specific fact, used to justify an answer or claim. It contrasts with conclusions the reader must infer.
- textual citation
- Related: explicit evidence, inference
A direct quotation or precise reference to a passage used to support an analysis. Strong citations are brief, accurate, and clearly connected to the point being made.
- theme
- Related: main idea, characterization
A recurring idea or insight about life that a literary work develops through characters, events, and imagery. Themes are expressed as complete statements rather than single words like love or courage.
- characterization
- Related: theme, point of view
The methods an author uses to reveal a character's personality, motives, and development. Direct characterization states traits outright; indirect characterization shows them through speech, actions, thoughts, and others' reactions.
- point of view
- Related: characterization, tone
The perspective from which a narrative is told, such as first person, third-person limited, or third-person omniscient. It determines what information and biases the reader can access.
- tone
- Related: mood, point of view
The author's or speaker's attitude toward the subject, conveyed through word choice, imagery, and sentence structure. Tone differs from mood, which is the feeling created in the reader.
- mood
- Related: tone, imagery
The emotional atmosphere a text creates for its audience, produced by setting details, diction, pacing, and imagery. Mood describes the reader's experience rather than the author's stated attitude.
- imagery
- Related: mood, figurative language
Descriptive language that appeals to the senses to create vivid mental pictures. Sensory details often support tone and mood and can function as evidence in literary analysis.
- figurative language
- Related: imagery, metaphor
Language that departs from literal meaning to create comparison or effect, including metaphor, simile, personification, and hyperbole. Recognizing it helps readers interpret an author's intended meaning.
- metaphor
- Related: figurative language, simile
A direct comparison that states one thing is another without using like or as, such as calling hope a bird. Extended metaphors develop a single comparison across a passage.
- simile
- Related: metaphor, figurative language
A comparison using like or as to link two unlike things, such as cheeks like roses. It clarifies an image by highlighting a shared quality between the compared items.
- argument structure
- Related: claim, counterclaim
The organization of a persuasive text into a claim, supporting reasons and evidence, and often a counterclaim with rebuttal. Recognizing this structure helps evaluate whether a conclusion is well founded.
- claim
- Related: argument structure, counterclaim
A statement the writer asserts as true and then defends with reasons and evidence. A strong claim is debatable, specific, and supportable rather than a simple statement of fact.
- counterclaim
- Related: claim, argument structure
An opposing position that a writer acknowledges and then answers. Addressing counterclaims strengthens an argument by showing awareness of other viewpoints and offering a rebuttal.
- transition words
- Related: argument structure, connotation
Words or phrases such as however, therefore, and in addition that signal relationships between ideas. They guide readers through comparison, cause, sequence, and contrast within and across sentences.
- connotation
- Related: denotation, tone
The emotional or cultural associations a word carries beyond its literal meaning, as with cheap versus inexpensive. Connotation shapes tone and can reveal an author's attitude.
- denotation
- Related: connotation
The literal, dictionary meaning of a word, independent of emotional associations. Distinguishing denotation from connotation helps readers interpret precise word choice.
- ratio
- Related: proportion, unit rate
A comparison of two quantities by division, often written as a to b, a:b, or a/b. Ratios express relative size and form the basis for proportions, rates, and scale problems.
- proportion
- Related: ratio, unit rate
An equation stating that two ratios are equal, such as 3/4 = 9/12. Proportions are solved by cross-multiplying and are used for scaling and percent problems.
- unit rate
- Related: ratio, proportion
A rate expressed per one unit of a given quantity, such as miles per hour or cost per ounce. Unit rates allow direct comparison of different offers or speeds.
- percent
- Related: proportion, ratio
A ratio comparing a number to 100, meaning per hundred. Percents convert to decimals by dividing by 100 and are used for discounts, tax, interest, and change problems.
- linear equation
- Related: slope, function
An equation whose graph is a straight line, typically written y = mx + b, where m is slope and b is the y-intercept. It represents a constant rate of change.
- slope
- Related: linear equation, function
The measure of steepness of a line, calculated as rise over run or change in y divided by change in x. Slope indicates the rate of change of a linear relationship.
- function
- Related: linear equation, slope
A relationship in which each input value corresponds to exactly one output value. Functions can be represented by tables, graphs, equations, or verbal rules.
- mean
- Related: median, outlier
The arithmetic average of a data set, found by summing all values and dividing by the number of values. It is sensitive to extreme values called outliers.
- median
- Related: mean, outlier
The middle value of an ordered data set, or the average of the two middle values when the count is even. It is less affected by outliers than the mean.
- outlier
- Related: mean, median
A data value that lies far from the rest of the distribution. Outliers can strongly skew the mean while leaving the median relatively unchanged.
- probability
- Related: outlier
A number between 0 and 1 expressing how likely an event is, computed as favorable outcomes divided by total equally likely outcomes. It underpins predictions and statistical reasoning.
- area
- Related: volume
The amount of surface inside a two-dimensional figure, measured in square units. Common formulas include length times width for rectangles and pi times radius squared for circles.
- volume
- Related: area
The amount of space a three-dimensional solid occupies, measured in cubic units. For prisms and cylinders it equals the base area multiplied by height.
- Pythagorean theorem
- Related: area
The relationship a squared plus b squared equals c squared for a right triangle, where c is the hypotenuse. It is used to find unknown side lengths and distances.
- primary source
- Related: secondary source, bias
A firsthand record created during the period being studied, such as letters, diaries, photographs, or official documents. Primary sources offer direct evidence but reflect the creator's perspective.
- secondary source
- Related: primary source, bias
An account that interprets or analyzes primary sources, such as textbooks, biographies, or scholarly articles. Secondary sources synthesize evidence and may reflect later scholarship.
- bias
- Related: primary source, point of view
A systematic slant in how information is selected, presented, or interpreted. Historians evaluate bias by considering an author's purpose, audience, and context.
- cause and effect
- Related: chronology, primary source
A relationship in which one event or condition produces another. Historians distinguish long-term causes, immediate triggers, and consequences to explain change over time.
- chronology
- Related: cause and effect
The arrangement of events in the order they occurred. Placing events on a timeline helps reveal patterns, sequences, and relationships between developments.
- federalism
- Related: separation of powers, checks and balances
A system of government that divides power between a central national government and regional governments such as states. Each level holds distinct powers and shares others.
- separation of powers
- Related: checks and balances, federalism
The division of government into legislative, executive, and judicial branches, each with distinct functions. It aims to prevent any single branch from holding concentrated authority.
- checks and balances
- Related: separation of powers, federalism
Powers that allow each branch of government to limit the actions of the others, such as a veto or judicial review. These mechanisms reinforce the separation of powers.
- supply and demand
- Related: opportunity cost
The economic relationship in which price is shaped by how much of a good producers offer and how much consumers want. Higher demand or lower supply tends to raise prices.
- opportunity cost
- Related: supply and demand
The value of the next best alternative given up when making a choice. It reflects scarcity and underlies decisions by individuals, businesses, and governments.
- hypothesis
- Related: independent variable, controlled experiment
A testable prediction about the relationship between variables, often stated as an if-then claim. It must be measurable and can be supported or rejected by experiment.
- independent variable
- Related: dependent variable, controlled experiment
The factor an investigator deliberately changes or manipulates in an experiment. Its effect is observed on the dependent variable.
- dependent variable
- Related: independent variable, hypothesis
The factor that is measured or observed in an experiment and responds to changes in the independent variable. It is the outcome used to evaluate a hypothesis.
- controlled experiment
- Related: independent variable, hypothesis
A test in which only one variable is changed while all other conditions are held constant. This design allows researchers to attribute observed effects to the manipulated variable.
- photosynthesis
- Related: cellular respiration, ecosystem
The process by which plants, algae, and some bacteria use sunlight, water, and carbon dioxide to make glucose and release oxygen. It converts light energy into chemical energy stored in food.
- cellular respiration
- Related: photosynthesis
The process by which cells break down glucose to release usable energy, producing carbon dioxide and water. It complements photosynthesis in the cycling of matter and energy.
- ecosystem
- Related: photosynthesis, natural selection
A community of organisms interacting with one another and with their physical environment. Energy flows through food webs while matter cycles among living and nonliving components.
- natural selection
- Related: ecosystem
The process by which organisms with inherited traits suited to their environment survive and reproduce more successfully, shifting trait frequencies over generations. It is a mechanism of evolution.
- atom
- Related: density
The smallest unit of an element that retains the element's chemical properties, consisting of protons, neutrons, and electrons. Atoms combine in fixed ratios to form compounds.
- density
- Related: atom
The mass of a substance per unit volume, calculated as mass divided by volume. Density explains why some objects float in water while others sink.
- force
- Related: density
A push or pull that can change an object's motion, speed, or direction, measured in newtons. Net force determines whether an object accelerates.
- energy transfer
- Related: force, photosynthesis
The movement of energy from one object or system to another, as in conduction, convection, or radiation. Energy is conserved overall but changes form during transfer.