Learn with AI - Member

United States High School Subjects - Mathematics (11th Grade)

Algebra II expands upon the concepts learned in Algebra I and Geometry. Key topics include:

Linear Functions: Exploring linear equations, inequalities, and their graphs.
Quadratics: Working with quadratic equations, inequalities, and their graphs, including parabolas.
Polynomials: Understanding polynomial functions, factoring, and operations with polynomials.
Radical Functions: Exploring radical expressions, equations, and functions.
Trigonometry: Introduction to trigonometric functions and their applications.
Complex Numbers: Understanding complex numbers and their operations.
Polynomial Factorization and Division: Factoring and dividing polynomials, including synthetic division.

Resources:

Trigonometry in 11th grade delves deeper into trigonometric functions and their properties. Key concepts include:

Trigonometric Functions: Understanding sine, cosine, tangent, cosecant, secant, and cotangent functions.
Unit Circle: Exploring the unit circle and its relationship to trigonometric functions.
Radians and Degrees: Converting between radians and degrees.
Trigonometric Identities and Equations: Working with trigonometric identities and solving trigonometric equations.
Graphs of Trigonometric Functions: Graphing trigonometric functions and understanding their properties.
Laws of Sine and Cosine: Applying the laws of sine and cosine to solve triangles.

Resources:

Pre-Calculus prepares students for the study of Calculus. Core topics include:

Functions: Exploring various types of functions, including polynomial, rational, radical, exponential, and logarithmic functions.
Composite and Inverse Functions: Understanding composite and inverse functions and their properties.
Trigonometry: Expanding on trigonometric concepts learned in Algebra II and Trigonometry.
Matrices: Introduction to matrices and matrix operations.
Sequences and Series: Working with arithmetic and geometric sequences and series.
Complex Numbers: Further exploration of complex numbers.

Resources:

Calculus introduces students to the concepts of limits, derivatives, and integrals. Topics covered may include:

Limits and Continuity: Understanding limits and continuity of functions.
Derivatives: Learning about derivatives and their applications, including rates of change and optimization.
Integrals: Understanding integrals and their applications, including area under a curve and accumulation.

Resources:

Statistics focuses on data analysis, probability, and statistical inference. Key concepts include:

Data Analysis: Collecting, organizing, and interpreting data.
Probability: Understanding probability and its applications.
Statistical Inference: Making inferences and drawing conclusions from data.
Distributions: Exploring different types of probability distributions, including the normal distribution.
Hypothesis Testing: Conducting hypothesis tests to make decisions based on data.

Resources: