Course

SAT Math Level 2

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36 Lessons

Take your skills to a higher level with the SAT Math Level 2 Subject Test. If you’ve covered all the requirements for SAT Math Level 1, plus elementary functions (pre-calculus) or trigonometry or both, then you’re ready for SAT Math Level 2.

– College Board

Introduction to SAT Math Level 2

The SAT Math Level 2 Subject Test covers the same material as the Mathematics Level 1 test — with the addition of trigonometry and elementary functions (precalculus). If you performed well in these courses, taking this test gives you the opportunity to highlight your abilities and showcase your interest in higher-level mathematics.

Anticipated Skills

  • Number and operations
  • Algebra and functions
  • Geometry and measurement (coordinate, three-dimensional, and trigonometry)
  • Data analysis, statistics and probability

Recommended Preparation

More than three years of college-preparatory mathematics, including two years of algebra, one year of geometry, and elementary functions (precalculus) or trigonometry or both.

Number and operations

  • Operations, ratio and proportion, complex numbers, counting, elementary number theory, matrices, sequences, series, vectors

Algebra and functions

  • Expressions, equations, inequalities, representation and modeling, properties of functions (linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, periodic, piecewise, recursive, parametric)

Geometry and measurement

  • Coordinate: Lines, parabolas, circles, ellipses, hyperbolas, symmetry, transformations, polar coordinates
  • Three-dimensional: Solids, surface area and volume (cylinders, cones, pyramids, spheres, prisms), coordinates in three dimensions
  • Trigonometry: Right triangles, identities, radian measure, law of cosines, law of sines, equations, double angle formulas

Data analysis, statistics, and probability


Mean, median, mode, range, interquartile range, standard deviation, graphs and plots, least squares regression (linear, quadratic, exponential), probability

Choosing Between Math Levels 1 and 2


If you have taken trigonometry or elementary functions (precalculus) or both, received grades of B or better in these courses, and are comfortable knowing when and how to use a scientific or graphing calculator, you should select the Level 2 test. If you are sufficiently prepared to take Level 2, but elect to take Level 1 in hopes of receiving a higher score, you may not do as well as you expect. You may want to consider taking the test that covers the topics you learned most recently, since the material will be fresh in your mind. You should also consider the requirements of the colleges and programs you are interested in.

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Functions

Distance and Midpoint (Free)

Equations of Straight Lines

Parallel and Perpendicular Lines

Quadratic Polynomials

Quadratic Equations

Discriminant

Graph of Polynomials

Polynomial Equations

Trigonometric Ratios

Trigonometry and Geometry

Law of Sines and Cosines

Trigonometric Results

Trigonometric Functions

Exponential Functions

Exponential Graphs

Logarithmic Functions

Logarithmic Laws

Logarithmic Graphs

Transformations

Conic Sections

Volumes

Surface Areas

Counting by Diagrams

Counting by Factorials

Counting by Permutations

Counting by Combinations

Matrix Operations

Matrix Multiplication

Matrix Algebra

Arithmetic Sequences and Series

Geometric Sequences and Series

Infinite Geometric Series Formula

Measures of Center and Spread

Statistics

Probability