# Math Curriculum

## The Saxon Method

In the Saxon Method, learners are exposed to small amounts of material with each presentation, but practice learned skills with each lesson. Students keep their skills sharp and on the top of their tool box. The tools teach problem-solving, data analysis, critical thinking, and learning challenges to provide learners with the skills and confidence to learn difficult material and concepts. Math teaches organization, analysis, logic, and presentation skills which transfer to all other aspects of learning and living.

Saxon Math: “While other math curricula ask students to progress from simple to complex concepts in just a few weeks, *Saxon Math* scaffolds instruction of each concept and continues to review information introduced earlier. This allows students the time and practice to retain math concepts to the level of mastery.”

### 8th Grade

**Pre-Algebra:** This course is designed to prepare students for Algebra I, but it is not a required course for graduation. Students will further their foundation in mathematical concepts and skills. Topics covered include variables, solving equations, integers, formulas, polynomials, factoring, graphing, equations with two variables, fractions, decimals, percents, squares, square roots, area volume, data, and probability.

### 9th Grade

**Algebra I+**: This core mathematics course teaches the fundamentals of algebraic concepts and skills through incremental development. Students learn to manipulate signed numbers and exponents, graph equations on the rectangular coordinate system, and factor quadratic equations that have real roots. In the fall semester, instruction covers algebraic properties, fractions, factoring, signed exponents, properties of equalities, solutions of single and multivariable equations, abstract fractions, and the slope-intercept formula. In the spring semester, students learn to factor quadratic equations, use the Pythagorean Theorem, derive an equation between two points, solve linear inequalities, factor binomials and trinomials, divide polynomials, simplify radical expressions, and manipulate scientific notation. Word problems include ratio/proportion, percentage, uniform motion, compound interest, and variation (indirect and indirect).

### 10th Grade

**Algebra II+:** In this course, we will start at the beginning of signed numbers and quickly review all of the topics of Algebra I. These topics will be reviewed as we weave in more advanced concepts. We will also practice the skills that are necessary to apply the concepts. Some of these skills include completing the square, deriving the quadratic formula, simplification of radicals, and complex numbers.

We will continue the study of geometry and introduce trigonometry. The long- term practice of the fundamental concepts of algebra, geometry, and trigonometry will make these concepts familiar and will enable an in-depth understanding of their use in unlocking the doors of higher mathematics as well as chemistry, physics, engineering, and other mathematically-based disciplines.

### 11th Grade

**Advanced Mathematics:** Topics from algebra, geometry, trigonometry, discrete mathematics, and mathematical analysis are interwoven to form a fully integrated course. A rigorous treatment of Euclidean geometry is also presented. Word problems are developed throughout the problem sets and become progressively more elaborate. With this practice, students will be able to solve challenging problems such as rate and work problems involving abstract quantities. The graphing calculator is used to graph functions and perform data analysis. Conceptually-oriented problems that prepare students for college entrance exams (such as the ACT and SAT) are included in the problem sets.

Advanced mathematics includes such topics as conic sections, permutations and combinations, trigonometric identities, inverse trigonometric functions, graphs of sinusoids, rectangular and polar representation of complex numbers, De Moivre's theorem, matrices and determinants, the binomial theorem, and the rational roots theorem.

### 12th Grade

In the final year of study at CCA, the students have a choice to diversify their mathematical study. Choices include calculus, probability and statistics, or pre-calculus.