Algebra 2 Course Outline
Every unit and lesson in Algebra 2, organized by function family, with graphing-calculator work throughout. Honors extensions go deeper where the honors track does.
Try the student practice samples in the first expanded unit below. The detailed notes will be discussed during the course, with worked examples, guided practice, and time for questions. Enroll to work through the remaining lessons with your tutor.
Explore the study guide1Unit 1: Functions and Linear ModelsDomain, range, transformations, linear models, piecewise functions and 3-variable systems.5 lessons + review
- 1.1MCQ Sample
Functions, Domain and Range
Describe functions and state domain and range in interval notation.
- 1.2FRQ Sample
Parent Functions and Transformations
Shift, reflect and stretch parent graphs.
- 1.3Enroll Now
Linear Models and Regression
Write linear models and use regression to fit data.
- 1.4Enroll Now
Piecewise and Absolute Value Functions
Graph and evaluate piecewise and absolute value functions.
- 1.5Enroll Now
Systems in Three Variables
Solve linear systems in three variables.
- 1REnroll Now
Unit Review
Mixed practice and a unit-test-style free-response set covering every lesson in Unit 1.
2Unit 2: Quadratic Functions and Complex NumbersThree forms of a quadratic, complex numbers, solving methods, inequalities and modeling.7 lessons + review
- 2.1Enroll Now
Standard, Vertex and Factored Forms
Convert between standard, vertex and factored forms.
- 2.2Enroll Now
Solving Quadratic Equations
Solve by factoring, square roots and graphing.
- 2.3Enroll Now
Complex Numbers
Add, subtract, multiply and divide complex numbers.
- 2.4Enroll Now
Completing the Square and Vertex Form
Complete the square to solve and to find vertex form.
- 2.5Enroll Now
The Quadratic Formula with Complex Solutions
Use the formula and discriminant, including complex roots.
- 2.6Enroll Now
Quadratic Inequalities
Solve and graph quadratic inequalities.
- 2.7Enroll Now
Quadratic Modeling
Fit and interpret quadratic models from data.
- 2REnroll Now
Unit Review
Mixed practice and a unit-test-style free-response set covering every lesson in Unit 2.
3Unit 3: Polynomial FunctionsEnd behavior, division, the Remainder and Factor Theorems and finding every zero.7 lessons + review
- 3.1Enroll Now
Polynomial Graphs and End Behavior
Use degree and leading coefficient to describe end behavior.
- 3.2Enroll Now
Operations with Polynomials
Add, subtract and multiply polynomials.
- 3.3Enroll Now
Long and Synthetic Division
Divide polynomials by long division and synthetic division.
- 3.4Enroll Now
Remainder and Factor Theorems
Use the theorems to test and find factors.
- 3.5Enroll Now
Finding Real and Complex Zeros
Use the Rational Root Theorem to find all zeros.
- 3.6Enroll Now
The Fundamental Theorem of Algebra
Count zeros and write polynomials from given roots.
- 3.7Enroll Now
Modeling with Polynomials
Build and interpret polynomial models.
- 3REnroll Now
Unit Review
Mixed practice and a unit-test-style free-response set covering every lesson in Unit 3.
4Unit 4: Radical Functions and Rational ExponentsRational exponents, composition, inverses, radical graphs and radical equations.6 lessons + review
- 4.1Enroll Now
nth Roots and Rational Exponents
Convert between radicals and rational exponents.
- 4.2Enroll Now
Properties of Rational Exponents
Simplify expressions with rational exponents.
- 4.3Enroll Now
Function Operations and Composition
Add, multiply and compose functions.
- 4.4Enroll Now
Inverse Functions
Find inverses algebraically and graphically.
- 4.5Enroll Now
Graphing Radical Functions
Graph square-root and cube-root functions.
- 4.6Enroll Now
Solving Radical Equations
Solve radical equations and check for extraneous roots.
- 4REnroll Now
Unit Review
Mixed practice and a unit-test-style free-response set covering every lesson in Unit 4.
5Unit 5: Exponential and Logarithmic FunctionsGrowth and decay, the number e, logarithms and their properties, and exponential models.6 lessons + review
- 5.1Enroll Now
Exponential Growth and Decay
Model growth and decay with exponential functions.
- 5.2Enroll Now
The Natural Base e
Use e for continuous growth and compounding.
- 5.3Enroll Now
Logarithms and Logarithmic Functions
Define logarithms as inverses and graph them.
- 5.4Enroll Now
Properties of Logarithms
Expand and condense with product, quotient and power rules.
- 5.5Enroll Now
Solving Exponential and Logarithmic Equations
Solve using logs and check domain restrictions.
- 5.6Enroll Now
Exponential and Logarithmic Models
Fit exponential and log models to data.
- 5REnroll Now
Unit Review
Mixed practice and a unit-test-style free-response set covering every lesson in Unit 5.
6Unit 6: Rational FunctionsInverse variation, rational graphs, operations on rational expressions and rational equations.6 lessons + review
- 6.1Enroll Now
Inverse Variation
Model and graph inverse variation.
- 6.2Enroll Now
Graphing Rational Functions
Find asymptotes and holes and sketch rational graphs.
- 6.3Enroll Now
Multiplying and Dividing Rational Expressions
Simplify, multiply and divide rational expressions.
- 6.4Enroll Now
Adding and Subtracting Rational Expressions
Find common denominators and combine rational expressions.
- 6.5Enroll Now
Complex Fractions
Simplify fractions within fractions.
- 6.6Enroll Now
Solving Rational Equations
Solve rational equations and reject extraneous solutions.
- 6REnroll Now
Unit Review
Mixed practice and a unit-test-style free-response set covering every lesson in Unit 6.
7Unit 7: Sequences and SeriesArithmetic, geometric and recursive sequences, sigma notation and infinite series.5 lessons + review
- 7.1Enroll Now
Sequences and Sigma Notation
Write explicit rules and use sigma notation.
- 7.2Enroll Now
Arithmetic Sequences and Series
Find terms and partial sums of arithmetic sequences.
- 7.3Enroll Now
Geometric Sequences and Series
Find terms and partial sums of geometric sequences.
- 7.4Enroll Now
Infinite Geometric Series
Decide convergence and find sums of infinite series.
- 7.5Enroll Now
Recursive Sequences
Write and evaluate recursive definitions.
- 7REnroll Now
Unit Review
Mixed practice and a unit-test-style free-response set covering every lesson in Unit 7.
Independently developed by Code Scholars Tutoring. Lesson order and pacing can be adapted to the student’s school syllabus.