Curriculum Map

Algebra II

Extend algebraic reasoning to polynomial, rational, radical, exponential, and logarithmic functions. Complex numbers, sequences, series, and advanced modeling with Desmos visualizations. TEKS §111.40 aligned.

14 Units

Early Units (Foundation)

Building Skills

Advanced Concepts

Capstone/Synthesis

Equations and Inequalities Review

Review and extend multi-step equations, absolute value equations and inequalities, and literal equations as a bridge from Algebra I into Algebra II.

3-4 days

Functions and Relations

Formalize function notation, determine domain and range, perform function operations and compositions, and find inverse functions.

4-5 days

Linear Systems and Matrices

Solve systems of two and three linear equations using substitution, elimination, and matrix methods including Gaussian elimination and determinants.

5-6 days

Quadratic Functions: Advanced

Deepen understanding of quadratic functions through completing the square, vertex form, the quadratic formula derivation, the discriminant, and complex number solutions.

5-6 days

Polynomial Functions

Analyze polynomial functions through end behavior, zeros and multiplicity, the Factor Theorem, the Remainder Theorem, and graphing techniques.

4-5 days

Polynomial Operations

Divide polynomials using long division and synthetic division, factor higher-degree polynomials, and apply the Rational Root Theorem to find zeros.

4-5 days

Rational Functions

Simplify, multiply, and divide rational expressions, identify asymptotes and discontinuities, and graph rational functions.

5-6 days

Radical Functions and Equations

Graph square root and cube root functions, apply transformations, solve radical equations, and identify extraneous solutions.

3-4 days

Exponential Functions

Model exponential growth and decay, understand the number e, graph exponential functions with transformations, and apply compound interest formulas.

4-5 days

Logarithmic Functions

Define logarithms as inverses of exponential functions, apply log properties to simplify and solve equations, and use the change of base formula.

4-5 days

Sequences and Series

Analyze arithmetic and geometric sequences, use sigma notation, compute partial sums, and determine convergence of infinite geometric series.

4-5 days

Introduction to Trigonometry

Define trigonometric functions using the unit circle, convert between degrees and radians, and graph sine and cosine functions with transformations.

4-5 days

Probability and Statistics

Count outcomes with permutations and combinations, expand expressions with the binomial theorem, and analyze probability distributions including the normal distribution.

4-5 days

Algebra II Capstone

Compare function families, select appropriate models for real-world data, and synthesize Algebra II concepts through multi-step problem solving.

3-4 days

Learning Progression

This course is designed to be taken sequentially. Earlier units establish foundational concepts that later units build upon. While you can explore units in any order, following the numbered sequence provides the most coherent learning experience.