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 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 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 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.

The Fallacy Detective teaches students to identify and critique logical errors through direct instruction, practical examples, and guided exercises. Each lesson focuses on a specific fallacy type with contemporary illustrations, helping students develop analytical reasoning and persuasive writing skills.

The Art of Argument uses Socratic questioning and structured exercises to teach students how to identify, construct, and evaluate logical arguments. It emphasizes mastery of logical fallacies and valid reasoning patterns through practice and reflection.

Visual Latin teaches Latin grammar and vocabulary through concise, animated video lessons followed by workbook practice. The program emphasizes morphology and visual representation of grammar concepts to make abstract linguistic structures concrete and memorable for younger learners.