Knowledge Hub Β· Article 229 Β· USA

SAT math syllabus: the four content domains of the digital SAT, every topic tested with its weight, the test format (44 questions, two adaptive modules, Desmos throughout), which school course covers each topic, what is not tested, a twelve-week plan, and a printable syllabus checklist

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Article 229 Β· USA

"SAT math syllabus" is what students type when they want the list: which topics, how many questions on each, and what they can safely skip. The College Board publishes the content domains and the topics under each, and this page sets them out with the weights, the format of the digital test, the school course that teaches each topic, what is not tested, and a twelve-week plan that works through the domains in the order of their weight. The printable checklist has every topic as a tick box with its domain and weight.

Download the SAT math syllabus checklist (PDF) (the four domains, every topic with its approximate share of questions, the format in one table, which course covers what, and the twelve-week plan; two pages, free).

The format of the digital SAT math section

Questions 44, in two modules of 22
Time 70 minutes: 35 per module, about 95 seconds a question
Adaptive The second module is harder or easier depending on performance in the first; the harder second module is the only route to the top scores
Question types About 75 percent multiple choice (four options), about 25 percent student-produced response (you type the number, including negatives and decimals)
Calculator Allowed on every question; the Desmos graphing calculator is built into the app, and you may bring your own approved one
Context About 30 percent of questions are set in a real-world context (word problems); the rest are purely mathematical
Score 200 to 800, combined with Reading and Writing for the 400 to 1600 total
Reference sheet Area, volume and special-triangle formulas are given on screen; the SAT math formula sheet lists what is given and what you must memorise

The four content domains, every topic, with weights

The weights are the College Board's published ranges (about 13 to 15 questions for the two large domains, 5 to 7 for the two small ones).

Algebra: about 35 percent, 13 to 15 questions

Topic What it looks like on the test Taught in
Linear equations in one variable Solve for x; equations with no solution or infinitely many; what value of a constant makes it so Algebra 1
Linear equations in two variables Equations of lines from points, slope and intercepts; parallel and perpendicular; interpreting slope and intercept in context Algebra 1
Linear functions Function notation; tables, graphs and equations of the same line; rate of change Algebra 1
Systems of two linear equations Solve; how many solutions; the constant that makes a system have none Algebra 1
Linear inequalities in one or two variables Solve; graph; which point satisfies the system; the inequality that models a situation Algebra 1

Advanced Math: about 35 percent, 13 to 15 questions

Topic What it looks like on the test Taught in
Equivalent expressions Factoring, expanding, rewriting rational expressions, exponent rules, rewriting radicals Algebra 1 and 2
Nonlinear equations in one variable, and systems with one nonlinear equation Solving quadratics (factoring, formula, discriminant); radical and rational equations; a line and a parabola; the number of solutions Algebra 2
Nonlinear functions Quadratic, exponential, polynomial, rational and absolute-value functions; vertex form; zeros and end behaviour; transformations; exponential growth and decay; interpreting constants in context Algebra 2

Problem-Solving and Data Analysis: about 15 percent, 5 to 7 questions

Topic What it looks like on the test Taught in
Ratios, rates, proportional relationships and units Unit conversions; rates in context; scale Grade 6 to 7
Percentages Percent change; percent of; reverse percentages Grade 7
One-variable data: distributions and measures of centre and spread Mean, median, mode, range, standard deviation (compared, not calculated); reading dot plots, histograms and box plots; the effect of an outlier Algebra 1 and 2
Two-variable data: models and scatterplots Line of best fit; interpreting slope and intercept; linear versus exponential growth; residuals in simple form Algebra 1
Probability and conditional probability From two-way tables; from a described situation Geometry or Algebra 2
Inference from sample statistics and margin of error What a margin of error means; what a sample allows you to conclude Algebra 2 or Statistics
Evaluating statistical claims Observational studies versus experiments; random sampling and random assignment; what each allows Algebra 2 or Statistics

Geometry and Trigonometry: about 15 percent, 5 to 7 questions

Topic What it looks like on the test Taught in
Area and volume Composite figures; the volume formulas (given on the reference sheet) in context; scale factors Geometry
Lines, angles and triangles Parallel lines and transversals; triangle angle sum; similar and congruent triangles; the Pythagorean theorem Geometry
Right triangles and trigonometry Sine, cosine and tangent; special right triangles; complementary angles (sin x = cos(90Β° βˆ’ x)); radians and degrees Geometry
Circles The equation of a circle (including completing the square); arc length, sector area, central and inscribed angles Geometry and Algebra 2

What is not on the SAT math section

Calculus of any kind; logarithms beyond recognising them; matrices and vectors; sequences and series formulas; complex numbers (removed in the digital test); conic sections other than circles; proofs; constructions; the law of sines and cosines; statistics beyond what is listed above (no hypothesis tests, no regression formulas). A student who has finished Algebra 2 and Geometry has met every topic; Pre-Calculus adds comfort, not content.

Which course teaches what: the timing problem

Seventy percent of the test is the Algebra and Advanced Math domains, and Advanced Math is Algebra 2, which most students on the standard track are in during 11th grade, the year the SAT is taken. That is the timing problem: a junior in Algebra 2 is learning the test's largest domain and sitting the test in the same year. The practical answer is to take the PSAT in October of 11th grade as a diagnostic, work the plan below from January, and sit the SAT in May or June once the quadratic and exponential units are done. A student on the accelerated track (Algebra 2 in 10th) has a full year and finds the test content easy; the work for them is speed and the student-produced responses.

A twelve-week plan

Weeks Do
1 A full timed practice test in Bluebook (the College Board app); score it; list every wrong question by domain
2 to 4 Algebra domain: linear equations, functions, systems, inequalities; ten questions a day from the question bank, each wrong one redone the next day
5 to 8 Advanced Math: quadratics first (factoring, vertex form, the discriminant), then exponentials, then rational and radical expressions; this is where most points are gained
9 Problem-Solving and Data Analysis: percentages and ratios one day, statistics and data interpretation the next three; the margin-of-error and study-design questions are learnable in an afternoon
10 Geometry and Trigonometry: the reference sheet, special right triangles, circles and completing the square
11 Two timed sections; Desmos practice (graph both sides of an equation, find intersections and zeros, regression for scatterplot questions)
12 A full practice test, then the wrong-question list from week 1 redone: the questions missed twice are the ones to take to a tutor

Thirty to forty minutes a day. The question bank on the College Board site is free and sorted by domain and difficulty; a student who works the "hard" filter in Advanced Math for four weeks moves the score more than any amount of full tests.

Download the SAT math syllabus checklist (PDF)

Where to get help

A 1-on-1 online class with a tutor who holds a master's in mathematics and teaches the digital SAT: a diagnostic test in the first week, the domains in weight order, the Desmos techniques, and the student-produced responses practised until the arithmetic is clean. After school or weekends, US time; the recording and notes after every class; the same tutor through the test date. US$10 to $13 an hour, billed monthly. The SAT tutoring page has the course outline; the free 30-minute class is a real lesson on the domain the diagnostic shows is weakest.

Questions parents ask

1What is on the SAT math section?
Four content domains. Algebra (linear equations, inequalities, functions and systems), about 35 percent; Advanced Math (quadratics, exponentials, polynomials, radicals, rational expressions, nonlinear systems and functions), about 35 percent; Problem-Solving and Data Analysis (ratios, rates, percentages, units, statistics, probability, data interpretation), about 15 percent; and Geometry and Trigonometry (area and volume, lines and angles, triangles, right-triangle trigonometry, circles), about 15 percent.
2How many questions are on the SAT math section and how long is it?
44 questions in 70 minutes, in two modules of 22 questions and 35 minutes each. The second module is harder or easier depending on how the first went. About three quarters of the questions are multiple choice and a quarter are student-produced responses, where you type the number. A calculator is allowed on every question and the Desmos graphing calculator is built into the testing app.
3Is calculus or pre-calculus on the SAT?
No. The SAT math section stops at Algebra 2 content plus a little trigonometry (sine, cosine and tangent in right triangles, radian measure, the unit circle in its simplest form). There are no limits, derivatives, logarithms beyond the basics, matrices, vectors or sequences formulas. A student who has finished Algebra 2 and Geometry has met every topic.
4Which school courses cover the SAT math syllabus?
Algebra 1 covers the Algebra domain and the simpler Problem-Solving questions; Geometry covers the Geometry and Trigonometry domain; Algebra 2 covers Advanced Math and the statistics part of Problem-Solving. That is why the SAT is usually taken in the spring of 11th grade, when Algebra 2 is finishing, and why a student who takes it after Pre-Calculus finds it easy.
5What score do you need in SAT math?
The section is scored 200 to 800. The College Board's college-readiness benchmark is 530. Selective colleges' admitted students mostly sit between 700 and 800 in math; a 600 is around the 70th percentile nationally. Because the test is adaptive, there is no fixed number of questions per score, but a student who answers almost all of the first module correctly is routed to the harder second module, which is the only route to 750 and above.

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