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SAT Math

SAT Math

Every skill on the Digital SAT Math section, drilled at real test difficulty, with Desmos on every question.

Category
SAT and foundations
Units
4 units
Exam
Exam Oct 3, 2026 (in 6 days)
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Unit 1 is free with an account. No card, no trial clock.

What the course covers

A complete preparation course for the Math section of the Digital SAT, organized by the four content domains College Board uses to build every test form: Algebra, Advanced Math, Problem-Solving and Data Analysis, and Geometry and Trigonometry. Each topic is one official skill, taught through short lessons, a full study guide per domain, and a large bank of four-option multiple-choice and student-produced response items written to the real test's style, difficulty range, and answer-entry rules. The course teaches the math and the test together: how the adaptive second module works, when graphing in Desmos beats algebra, how to enter answers so they are scored correct, and the traps that separate a 700 from an 800.

4 units, with exam weights

  1. Unit 1

    Algebra

    ≈35% (13-15 of 40 scored questions) of examFree
    Linear equations in one and two variables, linear functions, systems of two linear equations, and linear inequalities: creating them from contexts, solving them fluently and strategically, interpreting every constant and solution, and connecting tables, equations, and graphs. On a typical form this domain supplies 10-11 multiple-choice and 3-4 student-produced response questions.
    5 topics
    1. 1.1Linear Equations in One Variable
    2. 1.2Linear Equations in Two Variables
    3. 1.3Linear Functions
    4. 1.4Systems of Two Linear Equations in Two Variables
    5. 1.5Linear Inequalities in One or Two Variables

  2. Unit 2

    Advanced Math

    ≈35% (13-15 of 40 scored questions) of exam
    Equivalent expressions, nonlinear equations and systems, and nonlinear functions: quadratic, exponential, polynomial, rational, radical, and absolute value. This domain holds most of the hardest questions in the second module, and it rewards seeing structure (factoring, matching coefficients, choosing the most useful form) as much as computation. On a typical form it supplies 10-11 multiple-choice and 3-4 student-produced response questions.
    8 topics
    1. 2.1Equivalent Expressions: Polynomials and Factoring
    2. 2.2Equivalent Expressions: Exponents, Radicals, and Rational Expressions
    3. 2.3Nonlinear Equations: Quadratic Equations
    4. 2.4Nonlinear Equations: Absolute Value, Radical, Rational, and Polynomial Equations
    5. 2.5Nonlinear Equations: Systems of Linear and Nonlinear Equations
    6. 2.6Nonlinear Functions: Quadratic Functions
    7. 2.7Nonlinear Functions: Exponential Functions
    8. 2.8Nonlinear Functions: Function Notation and Polynomial, Rational, and Radical Functions

  3. Unit 3

    Problem-Solving and Data Analysis

    ≈15% (5-7 of 40 scored questions) of exam
    Quantitative reasoning with ratios, rates, proportions, units, and percentages; one- and two-variable data; probability and conditional probability; inference from samples with margins of error; and evaluating statistical claims from study design. Many of these questions are set in science, social-studies, or everyday contexts and read data from a table or graph. On a typical form this domain supplies 4-5 multiple-choice and 1-2 student-produced response questions.
    7 topics
    1. 3.1Ratios, Rates, Proportional Relationships, and Units
    2. 3.2Percentages
    3. 3.3One-Variable Data: Distributions and Measures of Center and Spread
    4. 3.4Two-Variable Data: Models and Scatterplots
    5. 3.5Probability and Conditional Probability
    6. 3.6Inference from Sample Statistics and Margin of Error
    7. 3.7Evaluating Statistical Claims: Observational Studies and Experiments

  4. Unit 4

    Geometry and Trigonometry

    ≈15% (5-7 of 40 scored questions) of exam
    Area, perimeter, surface area, and volume; angles, triangles, congruence, and similarity; the Pythagorean theorem, special right triangles, and right-triangle trigonometry; circles, arcs, sectors, radians, the unit circle, and circle equations in the xy-plane. Circle questions appear only on the SAT, not the PSAT. On a typical form this domain supplies 4-5 multiple-choice and 1-2 student-produced response questions.
    7 topics
    1. 4.1Area and Volume
    2. 4.2Lines, Angles, and Triangles: Angle Relationships
    3. 4.3Lines, Angles, and Triangles: Congruence and Similarity
    4. 4.4Right Triangles and Trigonometry: The Pythagorean Theorem and Special Right Triangles
    5. 4.5Right Triangles and Trigonometry: Trigonometric Ratios
    6. 4.6Circles: Arcs, Angles, Sectors, and Radians
    7. 4.7Circles: Equations in the xy-Plane

The exam, part by part

2 parts, 1 h 10 min in all.

  • Module 1 (routing module)

    Questions
    22
    Time
    35 min
    Weight
    50%

    Calculator allowed

    Format details

    20 scored questions and 2 unscored pretest questions that look identical. A broad mix of easy, medium, and hard questions from all four domains, ordered from easiest to hardest. About three quarters are four-option multiple choice and one quarter are student-produced responses (draw numeric bank items for these). Students may move back and forth within the module, but cannot return to it after time expires. Performance on this module decides whether Module 2 is the higher- or lower-difficulty version.

  • Module 2 (adaptive module)

    Questions
    22
    Time
    35 min
    Weight
    50%

    Calculator allowed

    Format details

    Same length, timing, format mix, and domain coverage as Module 1, again ordered from easiest to hardest, but the average difficulty is set by Module 1 performance: a strong Module 1 leads to the harder Module 2, which is the only path to the top of the score scale. Draw mostly difficulty 2 and 3 items for the harder version and difficulty 1 and 2 items for the easier one.

How the 1 to 5 score is set

The Math section score runs from 200 to 800 in 10-point steps and is half of the 400 to 1600 total. Only the 40 operational questions count; the 4 pretest questions do not. College Board scores with item response theory: each question is right (1) or wrong (0), there is no penalty for a wrong answer, and the scale score depends on which questions were answered correctly and how hard they were, so the same raw count can map to different scores on different forms. College Board publishes no raw-to-scale conversion table for the adaptive test. The platform predicts a 200 to 800 score from mastery and mock exams, and maps it to a 1-5 readiness band for the course card (5: 750 or higher, 4: 650-740, 3: 550-640, 2: 450-540, 1: below 450). The bands are a platform convention, not a College Board scale. For reference, College Board's college and career readiness benchmark for SAT Math is 530, and its Skills Insight top band is 680-800.

What you bring and get

The built-in Desmos graphing calculator (graphing and scientific modes) is available for every Math question, or students may bring an approved non-CAS graphing or scientific calculator. A reference sheet is available on screen throughout: area of a circle, rectangle, and triangle; circumference; the Pythagorean theorem; the 30-60-90 and 45-45-90 special right triangles; volumes of a rectangular prism, cylinder, sphere, cone, and rectangular pyramid; 360 degrees and 2 pi radians of arc in a circle; and the 180-degree triangle angle sum. The directions state that, unless a question says otherwise, all variables and expressions represent real numbers, figures are drawn to scale and lie in a plane, and the domain of a function is every real x for which f(x) is a real number. Students get scratch paper.

Skills the exam scores

  • STRStrategic Use of Structure

    See and use the structure of an expression, equation, or system to rewrite or solve it efficiently: factoring, matching coefficients, spotting a common factor or a difference of squares, reading solution counts from coefficients, choosing the form that reveals a feature.

  • FLUProcedural Fluency

    Carry out standard procedures accurately and quickly under time pressure: solve linear and quadratic equations, add and multiply polynomials, apply percent and unit conversions, and select and evaluate the right area or volume formula.

  • REPConnecting Representations

    Move among tables, equations, graphs in the xy-plane, and verbal descriptions: find the equation that matches a graph, the graph that matches a table, or the point that satisfies a system or inequality.

  • MODModeling and Interpretation in Context

    Build a linear, quadratic, or exponential model or a proportion from a real-world, science, or social-studies context, and interpret a constant, coefficient, input-output pair, or solution in terms of that context, with units.

  • DATAData and Statistical Reasoning

    Read data displays, compare distributions by center and spread, fit and use models, compute probabilities, and judge what a sample or a study design does and does not support.

  • TECHStrategic Use of the Graphing Calculator

    Recognize when graphing in Desmos is faster or safer than algebra (intersections, zeros, vertices, solution counts, regressions) and when it is not, and read its output correctly into the answer the question asks for.