Saxon Math™ is the nation’s most comprehensive and most thoroughly researched homeschool math program, with more than 30 years of proven success. Saxon Math for Grades K-12 is based on the teaching principles of incremental development, continual practice and review, and cumulative assessment. Students who have used this program receive consistently high scores on standardized math tests.
K-3 uses manipulatives to teach basic concepts, plus geometry, patterns, and time. Math 5/4-8/7 transitions students for the use of textbooks, plus algebraic and geometric reasoning. High school texts prepare students for college, from Algebra 1 to Calculus.
Regarding High School Mathematics
Saxon took an approach that, while common to other countries, is uncommon in the United States. They integrated algebra, geometry, and trigonometry into three textbooks, titled Algebra 1, Algebra 2, and Advanced Mathematics. Most high schools teach one course in algebra, then geometry, then return to algebra. Legacy chooses the Saxon “Classic Edition” approach. We spend two years in Advanced Mathematics because we add a full semester of SAT Math prep.
Geometry is scattered throughout Algebra 1 and 2. By the time students have completed both books they will have studied about one semester’s worth of geometry. They complete their geometry requirement with the Advanced Mathematics book.
Algebra 2 Third Edition covers standard second-year algebra topics, although its inclusion of a significant amount of trigonometry is not a standard feature of all second year courses.
Advanced Math includes the equivalent of the second half of geometry, plus advanced algebra, pre-calculus, and trigonometry. In the revised second edition, much of the geometry was moved to the front of the book rather than being spread out. This should make it easier for students who need to get through the geometry in preparation for PSAT tests in their junior year. In addition geometric proofs are taught early on, then used throughout the first half of the book. Among other topics covered are logarithms, conic sections, functions, matrices, and statistics. This text moves even more into the theoretical math realm than do earlier Saxon texts.
By the time students complete Saxon’s Advanced Mathematics, they should be on a par with students who have completed a pre-calculus course.
Calculus will incrementally build and reinforce their knowledge through continual practice and review. Following a condensed summary of key algebra, trigonometry, and analytic geometry topics, students explore limits, functions, and the differentiation and integration of variables.