11th Grade PSAT Math and English

Evaluate numerical expressions containing fractions, decimals, negative numbers, and exponents using the order of operations.

Convert a number among fraction, decimal, and percent forms.

Solve problems involving ratios, unit rates, and proportions.

Calculate percent increase, percent decrease, discounts, tax, and tips.

Simplify algebraic expressions using the distributive property and combining like terms.

Substitute given values into a formula and evaluate the result.

Translate a verbal statement into an algebraic expression or equation.

Use estimation and units to judge whether a numerical answer is reasonable.

Identify the subject, predicate, and main verb in a sentence.

Distinguish an independent clause from a dependent clause.

Distinguish a complete sentence from a fragment or run-on sentence.

Choose a verb that agrees with its subject, including when interrupting phrases separate them.

Choose pronouns that agree with clear antecedents.

Maintain logically consistent verb tense and form within a sentence.

Place modifiers next to the words they logically describe.

Revise a sentence to remove redundancy while preserving its meaning.

Solve a multistep linear equation in one variable.

Solve a linear inequality and represent its solution on a number line.

Rearrange a formula to isolate a specified variable.

Calculate the slope of a line from a graph, table, or pair of points.

Write a linear equation from a slope and one point.

Graph a linear equation using its slope and intercept.

Interpret slope and intercepts in the context of a word problem.

Construct and solve a linear equation from a one-variable word problem.

Identify the central idea of a short literary or informational passage.

Locate a passage detail that answers a specific question.

Make an inference that is supported by information in a passage.

Select the textual evidence that most directly supports a conclusion.

Determine the meaning of a word or phrase from its context.

Summarize a passage without adding unsupported claims.

Identify an author's claim and the evidence offered for it.

Use information from a graph or table to answer a question about an accompanying passage.

Solve a system of two linear equations by graphing.

Solve a system of two linear equations by substitution.

Solve a system of two linear equations by elimination.

Represent a two-quantity word problem with a system of linear equations.

Interpret the solution of a linear system in context.

Evaluate a function for a given input using function notation.

Simplify expressions using the product, quotient, and power rules for integer exponents.

Distinguish exponential growth from exponential decay and calculate values from an exponential model.

Separate independent clauses correctly using a period or semicolon.

Join independent clauses correctly using a comma and coordinating conjunction.

Punctuate an introductory dependent clause correctly.

Use a colon to introduce an explanation, example, or list after an independent clause.

Set off nonessential information with paired commas, dashes, or parentheses.

Use apostrophes to form singular and plural possessives.

Use commas correctly in a series.

Use commas correctly between coordinate adjectives.

Construct an equation to represent a percent, ratio, or rate scenario.

Convert compound units using dimensional analysis.

Extract joint, marginal, and conditional values from a two-way table.

Calculate and compare the mean, median, range, and interquartile range of data sets.

Determine how an outlier changes measures of center and spread.

Calculate the probability of a single event from equally likely outcomes.

Interpret the slope, intercept, and strength of association in a scatterplot model.

Decide whether a sample justifies a stated conclusion about a population.

Determine an author's main purpose in a passage.

Explain the function of a sentence or paragraph within a passage.

Identify how a passage is organized, such as cause-effect, comparison, or chronology.

Compare the viewpoints of two passages on the same subject.

Determine whether a piece of evidence strengthens or weakens an argument.

Distinguish a causal claim from a correlational claim.

Choose a transition that expresses the intended logical relationship between ideas.

Select information from notes that accomplishes a specified rhetorical goal.

Add and multiply polynomial expressions.

Factor a quadratic trinomial with integer coefficients.

Solve a quadratic equation by factoring.

Solve a quadratic equation using the quadratic formula.

Interpret the zeros, intercepts, and vertex of a parabola in context.

Rewrite expressions using equivalent radical and rational exponent forms.

Simplify a rational algebraic expression by factoring and canceling common factors.

Solve a nonlinear equation by locating graph intersections.

Use angle relationships formed by intersecting lines and parallel lines.

Apply the Pythagorean theorem to find a missing side of a right triangle.

Use triangle similarity to calculate an unknown length.

Calculate the perimeter and area of triangles, quadrilaterals, and composite figures.

Calculate arc length, circumference, and area in circle problems.

Calculate the volume of prisms, cylinders, cones, and spheres.

Use coordinates to calculate distance and midpoint.

Use sine, cosine, or tangent to find a missing side or angle in a right triangle.

Describe the adaptive structure, timing, and scoring purpose of the digital PSAT sections.

Use answer-choice elimination to resolve a Reading and Writing question.

Allocate time across a Reading and Writing module using planned checkpoints.

Use the embedded Desmos calculator to graph equations and find intersections.

Use the embedded Desmos calculator to evaluate tables and regressions.

Choose efficiently among mental math, written work, and calculator methods for a Math question.

Enter student-produced Math responses in an accepted format.

Use flagging, strategic guessing, and final review without leaving questions unanswered.

Complete a timed Reading and Writing module using planned pacing checkpoints.

Classify missed Reading and Writing questions by skill and error type.

Correct missed Reading and Writing questions by explaining why each selected answer was wrong.

Complete a second timed Reading and Writing module while applying error-log lessons.

Complete a timed Math module using planned pacing checkpoints.

Classify missed Math questions by skill and error type.

Correct missed Math questions by producing a valid solution and checking it independently.

Create a final study and test-day plan based on recurring errors, timing data, and strengths.