Algebra 2
IntermediateAlgebra 2 extends Algebra 1 by emphasizing function analysis, polynomial structure, rational expressions, and complex numbers. Students move from single-skill equation solving to multi-representation reasoning across symbolic, graphical, and contextual forms. The course is a key bridge to precalculus, statistics, and STEM pathway coursework.
This dedicated Algebra 2 module prioritizes three high-impact strands for pilot use: polynomial division and theorem-based reasoning, rational function analysis (including holes and asymptotes), and complex-number fluency for non-real roots. These strands are where student misconceptions frequently persist even when procedural correctness appears high.
Content is explicitly mapped to CCSS High School Algebra standards, with special focus on polynomial division, rational-function behavior, and complex-number operations. The module is designed to support both student practice and teacher intervention with misconception-aware diagnostics.
Practice a little. See where you stand.
Quiz
Reveal what you know — and what needs work
Adaptive Learn
Responds to how you reason, with real-time hints
Flashcards
Build recall through spaced, active review
Cheat Sheet
The essentials at a glance — exam-ready
Glossary
Master the vocabulary that unlocks understanding
Learning Roadmap
A structured path from foundations to mastery
Book
Deep-dive guide with worked examples
Calculator
Run the numbers and build intuition
Steps
Choose the next step — build procedural reasoning
Key Concepts
One concept at a time.
Explore your way
Choose a different way to engage with this topic — no grading, just richer thinking.
Explore your way — choose one:
Curriculum alignment— Standards-aligned
Grade level
Standards
- CCSS.MATH.CONTENT.HSA.APR.A.1: Understand polynomial arithmetic structure under addition, subtraction, and multiplication.
- CCSS.MATH.CONTENT.HSA.APR.B.2: Know and apply the Remainder Theorem.
- CCSS.MATH.CONTENT.HSA.APR.B.3: Identify zeros of polynomials and use zeros to sketch graphs.
- CCSS.MATH.CONTENT.HSA.APR.B.6: Rewrite simple rational expressions in different forms.
- CCSS.MATH.CONTENT.HSA.APR.B.7: Understand and use operations on rational expressions.
- CCSS.MATH.CONTENT.HSF.IF.C.7D: Graph rational functions and identify zeros, asymptotes, and end behavior.
- CCSS.MATH.CONTENT.HSN.CN.A.1: Know there is a complex number i such that i^2=-1.
- CCSS.MATH.CONTENT.HSN.CN.A.2: Use the relation i^2=-1 and arithmetic properties of i.
- CCSS.MATH.CONTENT.HSN.CN.C.7: Solve quadratic equations with complex solutions.
- CCSS.MATH.CONTENT.HSN.CN.C.8: Extend polynomial identities to complex numbers.
- CCSS.MATH.CONTENT.HSN.CN.C.9: Know the Fundamental Theorem of Algebra.
Learning objectives
- •Apply long and synthetic polynomial division to rewrite rational expressions and identify asymptotic structure.
- •Analyze rational functions by determining domain restrictions, holes, vertical asymptotes, and horizontal or slant asymptotes.
- •Solve rational equations and eliminate extraneous solutions using explicit denominator checks.
- •Use complex-number arithmetic and the quadratic formula to solve equations with non-real roots.
- •Construct real-coefficient polynomials that include complex conjugate root pairs.
Recommended Resources
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Books
Algebra and Trigonometry
by Michael Sullivan
Algebra 2, Common Core Edition
by Ron Larson and Laurie Boswell
Precalculus: Mathematics for Calculus
by James Stewart, Lothar Redlin, and Saleem Watson
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