NAEP cheat sheet

NAEP Reading is reported on a 0-500 scale with three achievement levels: Basic, Proficient, and Advanced; Below Basic is also reported.

Reading items are organized around two cognitive targets: locate/recall and integrate/interpret, with critique/evaluate applied to literary and informational text.

Literary texts include fiction, literary nonfiction, poetry, and drama; informational texts include exposition, argument, and procedural text.

Vocabulary items test words in context: the correct meaning must fit the passage sentence, not merely the most common dictionary sense.

Main-idea questions require distinguishing the central claim from supporting details; supporting-detail items ask which statement is explicitly stated.

Inference items are scored on whether the conclusion is supported by textual evidence, not on whether it matches a reader's prior opinion.

Author's-purpose answers use verbs such as inform, persuade, entertain, or explain; purpose must be tied to evidence in the text.

Grade 4, 8, and 12 passages differ in length and complexity; the same cognitive targets apply at every grade.

NAEP Mathematics reports scores on a 0-500 scale for grades 4, 8, and 12, with Basic, Proficient, and Advanced cut scores set per grade.

Content areas are number properties and operations; measurement; geometry; data analysis, statistics, and probability; and algebra.

Mathematical complexity is rated low, moderate, or high; a high-complexity item requires reasoning or justification, not just recall.

Area formulas: rectangle A = lw; triangle A = ½bh; circle A = πr²; trapezoid A = ½(b₁ + b₂)h.

Volume: rectangular prism V = lwh; cylinder V = πr²h; cone V = ⅓πr²h; sphere V = (4/3)πr³.

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

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

Slope of a line through (x₁,y₁) and (x₂,y₂) is (y₂ − y₁)/(x₂ − x₁); slope-intercept form is y = mx + b.

Pythagorean theorem: a² + b² = c², where c is the hypotenuse of a right triangle.

NAEP Science reports on a 0-500 scale at grades 4, 8, and 12 and covers physical science, life science, and Earth and space sciences.

Items test identifying science principles, using scientific inquiry, and understanding practical reasoning about science and technology.

A controlled experiment changes one independent variable while holding all other conditions constant; the dependent variable is what is measured.

A valid conclusion must follow from the data collected; a hypothesis is supported, not proven, by a single experiment.

Food chains transfer energy from producers to consumers; energy decreases at each trophic level and matter cycles through the ecosystem.

Newton's second law: force = mass × acceleration (F = ma); an object at rest stays at rest unless a net force acts.

Earth's seasons result from the tilt of Earth's axis, not from distance to the Sun.

Inherited traits are coded by genes on chromosomes; acquired traits are not passed to offspring.

Scientific explanations must be testable and revisable in light of new evidence.

NAEP Writing at grades 8 and 12 asks students to write to persuade, to explain, and to convey experience, each in response to a prompt with a purpose and audience.

Writing is scored holistically on idea development, organization, and language facility and conventions.

Persuasive writing states a clear position and supports it with reasons and evidence aimed at the specified audience.

Explanatory writing uses a logical structure such as cause-effect, comparison, or problem-solution, with accurate details.

Conveying-experience writing uses narrative techniques such as sensory detail, pacing, and point of view.

Organization is judged by coherence and transitions, not by a required five-paragraph formula.

Language facility includes sentence variety and precise word choice; conventions include grammar, spelling, and punctuation.

Digital writing tasks may require using tools such as editing and referencing within a word processor.

NAEP Arts assesses dance, music, theatre, and visual arts, with the 2016 assessment covering music and visual arts at grade 8.

Responding items ask students to describe, analyze, interpret, and evaluate works of art using appropriate vocabulary.

Creating items ask students to generate, organize, and refine artistic ideas and to present or perform them.

Visual arts elements include line, shape, form, color, value, texture, and space; principles include balance, contrast, emphasis, movement, pattern, and unity.

In music, pitch, rhythm, dynamics, timbre, and form are core elements; tempo and articulation affect expression.

In theatre, students identify character, setting, conflict, and dramatic structure, and analyze how performance choices create meaning.

Evaluation criteria must be tied to the work's intent and context, not only personal preference.

Arts responses are scored with rubrics that credit evidence-based reasoning about the artwork.

NAEP Civics reports on a 0-300 scale at grades 4, 8, and 12; content covers civic knowledge, intellectual skills, and civic dispositions.

The U.S. Constitution separates powers among legislative, executive, and judicial branches and divides power between federal and state governments (federalism).

Checks and balances include veto, override, judicial review, Senate confirmation, and impeachment.

The Bill of Rights comprises the first ten amendments and protects freedoms such as speech, press, assembly, religion, and due process.

The First Amendment protects speech and press but not incitement, true threats, obscenity, or defamation.

Voting eligibility, the Electoral College, and the amendment process are frequent assessment targets.

Civic skills include explaining, evaluating, taking a position, and defending it with constitutional principles.

The amendment process requires two-thirds of Congress (or a convention) to propose and three-fourths of states to ratify.

NAEP Geography reports on a 0-300 scale at grades 4, 8, and 12 and covers space and place, environment and society, and spatial dynamics and connections.

Latitude measures distance north or south of the equator; longitude measures distance east or west of the prime meridian.

Maps use scale, legend, compass rose, and projection; map projections distort shape, area, distance, or direction.

Physical features include landforms, climate zones, and biomes; human features include population, settlement, and economic activity.

Push factors drive people from a place; pull factors attract them to a place; both shape migration patterns.

Human-environment interaction includes adaptation, modification, and dependence on natural resources.

Regions are defined by shared physical or human characteristics and can change over time.

Reading a thematic map requires matching the legend's categories to spatial patterns.

NAEP Economics is assessed at grade 12 on a 0-300 scale and covers microeconomics, macroeconomics, and the international economy.

Scarcity forces choices; opportunity cost is the value of the next-best alternative forgone.

Demand curve slopes downward: as price rises, quantity demanded falls, all else equal; supply curve slopes upward.

Equilibrium occurs where quantity supplied equals quantity demanded; a price ceiling below equilibrium creates a shortage.

Gross domestic product measures the market value of final goods and services produced within a country in a period.

Inflation is a sustained rise in the general price level; it reduces purchasing power of money.

A central bank raises interest rates to slow inflation and lowers them to stimulate borrowing and spending.

Comparative advantage explains why trade benefits countries that specialize in lower-opportunity-cost production.

NAEP U.S. History reports on a 0-300 scale at grades 4, 8, and 12 and spans colonization through the present.

Themes include change and continuity, American democracy, culture, economic and technological change, and the role of the United States in world affairs.

Key turning points include the American Revolution, the Civil War and Reconstruction, industrialization, the World Wars, the Cold War, and the civil rights movement.

The Declaration of Independence (1776) asserts natural rights and the consent of the governed.

The Civil War amendments are the Thirteenth (abolition), Fourteenth (citizenship and equal protection), and Fifteenth (voting regardless of race).

Historical thinking skills include chronology, contextualization, and analysis of cause and effect.

Primary sources are interpreted in their historical context; a document's author, audience, and purpose shape its meaning.

Historical arguments must cite specific evidence and acknowledge competing interpretations.

NAEP Technology and Engineering Literacy (TEL) is assessed at grade 8 on a 0-300 scale and uses scenario-based tasks plus multiple-choice items.

Three areas: technology and society, design and systems, and information and communication technology.

The engineering design process cycles through defining a problem, generating ideas, building and testing a prototype, and optimizing.

Trade-offs occur when improving one design criterion, such as strength, worsens another, such as weight or cost.

Systems have inputs, processes, outputs, and feedback; feedback can be positive (amplifying) or negative (stabilizing).

Digital citizenship includes protecting personal data, evaluating source credibility, and respecting intellectual property.

A prototype is tested against criteria and constraints; constraints include budget, materials, safety, and time.

Evaluating online information requires checking authorship, currency, evidence, and corroboration across sources.

NAEP Reading is reported on a 0-500 scale with three achievement levels: Basic, Proficient, and Advanced; Below Basic is also reported.

Reading items are organized around two cognitive targets: locate/recall and integrate/interpret, with critique/evaluate applied to literary and informational text.

Literary texts include fiction, literary nonfiction, poetry, and drama; informational texts include exposition, argument, and procedural text.

Vocabulary items test words in context: the correct meaning must fit the passage sentence, not merely the most common dictionary sense.

Main-idea questions require distinguishing the central claim from supporting details; supporting-detail items ask which statement is explicitly stated.

Inference items are scored on whether the conclusion is supported by textual evidence, not on whether it matches a reader's prior opinion.

Author's-purpose answers use verbs such as inform, persuade, entertain, or explain; purpose must be tied to evidence in the text.

Grade 4, 8, and 12 passages differ in length and complexity; the same cognitive targets apply at every grade.