Eleventh Grade Mathematics

Advanced Algebra 2, Pre-Calculus, and Trigonometry

Master complex functions, conic sections, trigonometry, sequences, probability, and statistics for college readiness

Linear Functions & Equations

Function Concepts

Master function notation, domain, range, and evaluation

Linear Equations

Solve linear equations with one and multiple variables

Linear Inequalities

Graph and solve linear inequalities in one variable

Linear Functions

Analyze slopes, intercepts, and linear function applications

Systems of Linear Equations

Solve systems using substitution, elimination, and graphing

Two-Variable Linear Inequalities

Graph solution regions for two-variable inequalities

Absolute Value & Piecewise Functions

Absolute Value Equations & Inequalities

Solve equations and inequalities with absolute values

Absolute Value Functions

Graph and analyze absolute value function transformations

Piecewise-Defined Functions

Evaluate and graph functions defined in pieces

Number Systems

Real Numbers

Properties and operations with real number system

Complex Numbers

Operations with complex and imaginary numbers

Polynomials & Quadratics

Polynomial Operations

Add, subtract, multiply, and divide polynomials

Factor Polynomials

Master factoring techniques including grouping and special patterns

Quadratic Functions

Graph parabolas and identify vertex, axis of symmetry

Quadratic Equations & Inequalities

Solve using factoring, completing the square, quadratic formula

Systems of Linear & Quadratic Equations

Find intersection points of linear and quadratic graphs

Polynomial Equations & Functions

Analyze higher-degree polynomials and their roots

Radicals & Rational Exponents

Radical Expressions

Simplify and rationalize radical expressions

Radical Functions & Equations

Solve radical equations and graph radical functions

Rational Exponents

Convert between radical and exponential notation

Advanced Function Concepts

Function Operations

Perform addition, subtraction, multiplication, division, and composition

Inverse Functions

Find and verify inverse functions algebraically and graphically

Function Transformations

Apply translations, reflections, stretches, and compressions

Rational Functions & Variation

Rational Functions & Expressions

Simplify rational expressions and identify asymptotes

Variation

Model direct, inverse, joint, and combined variation

Exponential & Logarithmic Functions

Exponential Functions

Model exponential growth and decay applications

Logarithms

Apply properties and laws of logarithms

Logarithmic Functions

Graph and analyze logarithmic function behavior

Exponential & Logarithmic Equations

Solve equations using logarithmic and exponential properties

Conic Sections

Parabolas

Analyze parabola equations, focus, directrix, and vertex

Circles

Write and graph circle equations in standard form

Ellipses

Identify foci, vertices, and axes of ellipses

Hyperbolas

Graph hyperbolas and find asymptotes and vertices

Trigonometry

Angle Measures

Convert between degrees and radians

Right Triangle Trigonometry

Apply sine, cosine, and tangent ratios

Laws of Sines & Cosines

Solve oblique triangles using advanced laws

Trigonometric Functions

Graph sine, cosine, tangent and their transformations

Trigonometric Identities

Prove and apply Pythagorean, sum, and double-angle identities

Sequences & Series

Sequences

Analyze arithmetic and geometric sequences

Series

Calculate finite and infinite series sums

Probability & Statistics

Probability

Apply counting principles, permutations, and combinations

Probability Distributions

Understand discrete and continuous probability distributions

Binomial & Normal Distributions

Analyze special probability distribution models

Single-Variable Statistics

Calculate mean, median, standard deviation, and variance

Bivariate Statistics

Analyze correlation, regression, and scatterplots

Matrices

Matrices

Perform matrix operations and solve systems using matrices

Elevate Your Math Skills

Access comprehensive lessons, practice problems, and step-by-step solutions for every eleventh grade mathematics topic. Build a strong foundation for calculus and college-level mathematics.