Learn seventh grade math—proportions, algebra basics, arithmetic with negative numbers, probability, circles, and more. (aligned with Common Core standards)

Proportional relationships

Rates and percentages

Integers: addition and subtraction

Rational numbers: addition and subtraction

Negative numbers: multiplication and division

Expressions, equations, & inequalities

Statistics and probability

Scale copies

Geometry

Geometry (all content)

Learn geometry—angles, shapes, transformations, proofs, and more.

Volume and surface area

Geometric constructions

Miscellaneous

The Precalculus course covers complex numbers; composite functions; trigonometric functions; vectors; matrices; conic sections; and probability and combinatorics. It also has two optional units on series and limits and continuity. Khan Academy's Precalculus course is built to deliver a comprehensive, illuminating, engaging, and Common Core aligned experience!

Composite and inverse functions

Probability and combinatorics

Series

Limits and continuity

Statistics and probability

Learn statistics and probability—everything you'd want to know about descriptive and inferential statistics.

Analyzing categorical data

Displaying and comparing quantitative data

Summarizing quantitative data

Modeling data distributions

Exploring bivariate numerical data

Study design

Probability

Counting, permutations, and combinations

Random variables

Sampling distributions

Confidence intervals

Significance tests (hypothesis testing)

Two-sample inference for the difference between groups

Inference for categorical data (chi-square tests)

Advanced regression (inference and transforming)

Analysis of variance (ANOVA)

Trigonometry

Learn trigonometry—right triangles, the unit circle, graphs, identities, and more.

Right triangles & trigonometry

Trigonometric functions

Non-right triangles & trigonometry

Trigonometric equations and identities

Multivariable calculus

Learn multivariable calculus—derivatives and integrals of multivariable functions, application problems, and more.

Thinking about multivariable functions

Derivatives of multivariable functions

Applications of multivariable derivatives

Integrating multivariable functions

Green's, Stokes', and the divergence theorems

Linear algebra

Learn linear algebra—vectors, matrices, transformations, and more.

Vectors and spaces

Matrix transformations

Alternate coordinate systems (bases)

Differential equations

Learn differential equations—differential equations, separable equations, exact equations, integrating factors, and homogeneous equations, and more.

First order differential equations

Second order linear equations

Laplace transform

Algebra 2

The Algebra 2 course, often taught in the 11th grade, covers Polynomials; Complex Numbers; Rational Exponents; Exponential and Logarithmic Functions; Trigonometric Functions; Transformations of Functions; Rational Functions; and continuing the work with Equations and Modeling from previous grades. Khan Academy's Algebra 2 course is built to deliver a comprehensive, illuminating, engaging, and Common Core aligned experience!

Polynomial arithmetic

Complex numbers

Polynomial factorization

Polynomial division

Polynomial graphs

Rational exponents and radicals

Exponential models

Logarithms

Transformations of functions

Equations

Trigonometry

Modeling