Algebra 2: Principles of Secondary Mathematics

Algebra 2: Principles of Secondary Mathematics is a standards-based curriculum developed to empower students with a rigorous, concept-driven continuation of their mathematical journey. Designed specifically for learners who have completed Algebra 1: PSM or a similar standards-aligned curriculum, this mastery-based course builds deep conceptual understanding and critical thinking skills essential for success in college-level math. Through discovery-based learning, instructional videos, and real-world applications, students transition from rote memorization to thinking like true mathematicians.

This course is available exclusively through a Demme Learning Premium Subscription, which provides your household or classroom with digital access to all course components and future content updates.

Major Concepts and Skills Include:

Building upon foundational algebraic knowledge
Mastery of radicals and complex numbers
In-depth study of various function types
Exploring the geometric properties of conic sections
Understanding the behavior and applications of polynomials
Mastering logarithmic and exponential relationships
Developing data analysis and probabilistic reasoning skills

View Online Lesson
Content

View Tests Sample PDF

View Student Lesson Pages
Sample PDF

View Tests Worked Solutions Online

View Lesson Worked
Solution Online

Degree Radical Expressions
Radical Expressions with More than One Operation
Solving Radical Equations
Solving and Graphing Radical Inequalities
Complex Numbers and the Imaginary Unit
Working with Complex Numbers
Parent Functions and Transformations
Finding Inverses Algebraically
Graphing Functions and Their Inverses
Piecewise Functions
Inequality Graphs

Unit 3: Introduction to Conics

Solving Polynomials with Factoring
Completing the Square
The Quadratic Formula
Distance and Midpoint Formula
Parabolas, Circles, Ellipses, and Hyperbolas

Unit 4: Polynomial Functions

Operations with Functions
Composite Functions
Polynomial Functions and the Leading Coefficient Test
Zeros and Multiplicity
The Fundamental Theorem of Algebra
Variation

Unit 5: Exponents and Logarithms

Exponential Functions, Equations, and Inequalities
Introduction to Logarithms and Logarithmic Properties
Common and Natural Logs
Logarithmic Functions
Applications of Exponents and Logarithms

Unit 6: Statistics and Probability

Data and Standard Normal Distributions
Introduction to Statistics, Sampling, and Bias
Error and Confidence
Experiments, Permutations, and Combinations
Theoretical, Experimental, Compound, and Independent/Dependent Probability

Extension Lessons

Extension Lesson material is available digitally within the course.

Conics and Foci
Geometric Sequences and Series
Degrees, Radians, and Arc Length
The 6 Trigonometric Functions

After you determine your student is ready for Algebra 2: Principles of Secondary Mathematics, we recommend using the Readiness & Review for Algebra 2. These materials cover essential Algebra 1 concepts and skills needed for success in an advanced algebra course that may have been forgotten or require further depth.

Generally, students begin with the Readiness Check, which functions as a pre-test to identify specific areas where they may need additional support. Based on those results, instructors can then assign targeted review lessons to ensure a solid foundation before beginning the full course.

To learn more about these materials and where to access them, click here.