The unique approach of these high school homeschool lessons and teacher books has helped make Saxon Advanced Math a best seller.
The Saxon Math Advanced Math homeschool curriculum complete set includes the student textbook, Solutions Manual, and the Answer Key and Tests. The Solutions Manual is the only place that provides the step by step solutions to every problem in the student textbook. The Answer Key provides the final answers to every problem in the textbook plus answers to the test questions. The Test Forms book provides tests to be completed after every ten lessons in the student textbook.
Specific topics covered in this text include permutations and combinations, trigonometric identities, inverse trigonometric functions, conic sections, graphs of sinusoids, rectangular and polar representations of complex numbers, De Moivre's theorem, matrices and determinants, the binomial theorem, and the rational roots theorem. Additionally, a rigorous treatment of Euclidean geometry is presented.
Word problems are developed through the problem sets and become progressively more elaborate and difficult. By the end of the text, students will be able to solve competition-level problems with ease.
The graphing calculator is studied and used to graph functions and perform data analysis. Also, conceptually oriented problems that prepare students for college entrance exams (such as the ACT and SAT) are included in the problem sets. 2nd Edition © 1996 (119 lessons).
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Saxon Math Teaching Philosophy:
Learning need not be difficult, but neither does it happen quickly. Time is the elixir that turns things new into things familiar. Therefore, the most effective way for students to learn is through gentle development of concepts and the practice of those concepts extended over a considerable period of time. John Saxon called these methods incremental development and continual review and he applied them to mathematics and the fundamental skills of reading.
At its simplest, incremental development is the introduction of topics in easily understandable pieces (increments), permitting the assimilation of one facet of a concept before the next facet is introduced. Both facets are then practiced together until another is introduced.
The incrementalization of topics is combined with continual review, wherein all previously learned material is reviewed in every lesson for the entire year. Topics are never dropped but are instead increased in complexity and practiced every day, providing the time required for concepts to become totally familiar.
As Saxon math concepts become familiar and the requisite skills become automated, learning becomes a game at which students can succeed and through which they find satisfaction and self-worth. More importantly, the automation of fundamental skills frees students' minds to consider the Saxon math concepts on a more abstract level.
Genuine learning is demonstrated not only through the understanding of a concept, but also through the ability to apply that concept to new situations. Saxon math students do both with ease and confidence.
John Saxon - Founder of Saxon Publishers |
