MATH 7: All the expected algebraic topics are covered in this text. Patterns, relations, and functions are presented early in the text and are reviewed and practiced throughout the year. Order of operations are applied to whole numbers, integers, rational numbers, and exponents. Students build on their understanding of variables and expressions and extend them to equations and inequalities. Students also analyze patterns and functions leading to graphing on the coordinate plane.
MATH 8: Similar to Course 2 however the development of algebraic thinking progresses from Course 1 to Course 3, building a solid foundation for students to have confidence and success in Algebra I.
ALGEBRA I: Saxon Algebra 1 covers advanced topics such as arithmetic of and evaluation of expressions involving signed numbers exponents and roots. Students learn properties of the real numbers; absolute value and equations or inequalities involving absolute value; unit conversions; solution of equations in one unknown and solution of simultaneous equations; polynomials and rational expressions; word problems requiring algebra; Pythagorean theorem; functions and functional notation; solution of quadratic equations; and much, much more.
GEOMETRY: Saxon Geometry books teach postulates and theorems and two column proofs. They also teach triangle congruence, surface area and volume, vector addition, slopes and equations of lines. With topics like these, Saxon Geometry books cover all the ground of a traditional high school geometry course, with some additional topics thrown in to connect with real life applications as well as Algebra review.
ALGEBRA II: Saxon Algebra 2 topics covered include: graphical solution to simultaneous equations; roots of quadratic equations, even including complex roots; inequalities and systems of inequalities; logarithms and antilogarithms; exponential equations; basic trigonometric functions; vectors; polar and rectangular coordinate systems, and so much more! There are also many different types of word problems requiring algebra in their solution, and real world applications in areas such as physics and chemistry are discussed.
Saxon Algebra 2 books are rather unique in that they not only cover second year algebra, but also a good deal of geometry, equaling about a semester’s work of informal geometry, including proof outlines. There is also treatment of set theory and probability and statistics.