Homeschool curriculum, curated.

Saxon Math 8/7 uses incremental development where new concepts are introduced in small pieces and continuously reviewed through daily mixed practice sets. Each lesson includes warm-up activities (facts practice, mental math, problem-solving), new concept introduction, lesson practice, and 25-30 mixed practice problems combining new and previously taught material. Reviews arithmetic while introducing pre-algebra concepts preparing students for Algebra 1.

Art of Problem Solving's Introduction to Geometry uses a rigorous, proof-based approach that prioritizes understanding over memorization. The curriculum develops critical thinking and mathematical maturity through scaffolded problem sets that range from straightforward applications to olympiad-style challenges. Students learn to construct valid arguments and see geometry as a logical system rather than a collection of formulas.

AOPS Introduction to Algebra emphasizes problem-solving and mathematical reasoning rather than algorithmic memorization. The curriculum guides students through core algebra topics using guided discovery and increasingly complex applications. Ideal for students who need conceptual understanding before procedural fluency.

AoPS Prealgebra emphasizes deep conceptual understanding and creative problem-solving rather than procedural drills. The richly illustrated textbook uses storytelling and real-world context to maintain student engagement while building mathematical maturity. Ideal for advanced or motivated students who thrive on intellectual challenge.

AoPS Intermediate Algebra uses problem-centric instruction to move beyond procedural fluency toward mathematical reasoning and problem-solving maturity. The curriculum emphasizes proof techniques, algebraic manipulation, and competition-style problem exploration, making it ideal for motivated learners who thrive on intellectual challenge.

Saxon Math 5/4 uses an incremental spiral approach where concepts are introduced in small steps, then continuously reviewed and expanded over time through mixed practice sets. Each lesson includes warm-up activities (facts practice, mental math, problem solving), teaching of one new concept, lesson practice, and 25-30 mixed practice problems reviewing both new and previously learned material.

Dimensions Math employs Singapore's Concrete-Pictorial-Abstract methodology to build deep conceptual understanding. Each lesson uses a Think-Learn-Do structure that encourages problem-solving through multiple methods, with textbook introducing concepts and workbook offering differentiated practice from basics through challenge problems.