MCAS study materials
MCAS study resources

MCAS cheat sheet

MCAS · Keep the key ideas within reach.

Quick reference

English Language Arts (Grades 3–8 and Grade 10)

  • Next-generation MCAS ELA performance levels are Exceeding Expectations, Meeting Expectations, Partially Meeting Expectations, and Not Meeting Expectations.

  • ELA tests require reading literary and informational texts and answering multiple-choice, short-response, and essay items.

  • A theme is a universal message about life; a central idea is the main point of an informational text. Both must be supported by textual evidence.

  • When analyzing an argument, identify the claim, reasons, evidence, and any counterclaim or rebuttal.

  • Common text structures are chronological, cause-effect, compare-contrast, problem-solution, and description; structure affects meaning.

  • Point of view includes first person, third-person limited, and third-person omniscient; it shapes what the reader knows.

  • Figurative language includes simile, metaphor, personification, hyperbole, and idiom; interpret it nonliterally.

  • Writing standards across grades 3–8 and 10 include narrative, informational/explanatory, and argument/opinion writing with grade-level conventions.

  • For short constructed responses, state an idea, cite evidence, and explain the link.

Quick reference

Mathematics (Grades 3–8 and Grade 10)

  • Area formulas: rectangle A = lw; triangle A = ½bh; circle A = πr²; volume of rectangular prism V = lwh.

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

  • Slope formula: m = (y₂ − y₁)/(x₂ − x₁); a linear function has equation y = mx + b.

  • Quadratic formula: x = (−b ± √(b² − 4ac))/(2a) for ax² + bx + c = 0.

  • Exponent rules: aᵐ · aⁿ = aᵐ⁺ⁿ; aᵐ/aⁿ = aᵐ⁻ⁿ; (aᵐ)ⁿ = aᵐⁿ; a⁰ = 1 (a ≠ 0).

  • Similar figures have congruent corresponding angles and proportional corresponding sides; scale factor applies to lengths.

  • Probability of an event = number of favorable outcomes / total number of equally likely outcomes.

  • Mean = sum of values ÷ number of values; median is the middle value in ordered data; IQR = Q3 − Q1.

  • For a function, each input has exactly one output; the vertical line test checks whether a graph is a function.

Quick reference

Science and Technology/Engineering (Grades 5 and 8; High School Biology, Chemistry, Introductory Physics, or Technology/Engineering)

  • Grade 5 STE covers Earth and space science, life science, physical science, and technology/engineering.

  • Grade 8 STE covers matter, motion, forces, energy, life science, Earth science, and engineering design.

  • High school STE includes Biology, Chemistry, Introductory Physics, and Technology/Engineering.

  • Speed = distance/time; acceleration = change in velocity/time; force = mass × acceleration (F = ma).

  • Density = mass/volume; kinetic energy = ½mv²; potential energy near Earth = mgh.

  • In an experiment, the independent variable is changed, the dependent variable is measured, and controlled variables are kept constant.

  • Atomic number = number of protons; mass number = protons + neutrons; isotopes have the same protons but different neutrons.

  • Natural selection requires variation, heritability, differential survival/reproduction, and adaptation to environment.

  • The engineering design process includes defining the problem, researching, designing, building, testing, and iterating.

Quick reference

History and Social Science (Grades 5 and 8; High School Civics/History)

  • Grade 5 History/Social Science focuses on early U.S. history, geography, colonies, the American Revolution, and the Constitution.

  • Grade 8 History/Social Science covers U.S. history from the founding era through Reconstruction, including government and economics.

  • High school courses include Civics, U.S. History, and World History; civics emphasizes the Constitution and citizen participation.

  • The Constitution divides power among legislative, executive, and judicial branches with checks and balances.

  • Federalism divides power between the national government and state governments; the Bill of Rights protects individual liberties.

  • Historical thinking skills include sourcing, contextualization, corroboration, and close reading of primary and secondary sources.

  • Primary sources are first-hand accounts from the period; secondary sources interpret or analyze primary sources.

  • Economic concepts include scarcity, opportunity cost, supply and demand, and incentives.

  • In a democracy, civic participation includes voting, petitioning, serving on juries, and contacting representatives.