# Math

## Mathematics

NEAT offers two different structures for learning high-school math.

There's an advanced-pace, traditional, text-based starting with Algebra I.

And for girls who learn at a more individualized pace, there's a blended-learning sequence, which targets the score math curriculum to each girl's personal learning path through a combination of ALEKS (Assessment and Learning in Knowledge Spaces) software and individual and small-group instruction from the teacher. Using an artificial intelligence engine and adaptive questioning to determine exactly what each girl does and doesn't know, ALEKS designs a personalized learning path on the exact topics each specific student is ready to learn, creating tremendous learning momentum and propelling each student toward success.

### Pre-Algebra

- Transitions students from arithmetic to algebra and geometry
- Reinforces arithmetic skills by applying them to analyzing data, solving problems and equations, and other new mathematical situations

### Algebra I

- Introduces students to the language of mathematics
- Properties of real numbers, solving equations, combining rational expressions, graphing, inequalities, systems of equations, quadratic equations, applications, and problem-solving

### Geometry

- Students learn geometric figures and proofs and apply arithmetic and algebra to solve geometric problems
- Basic geometric vocabulary and notation, two-column proofs, congruent triangles, parallelism, perpendicularity, polygons, similarity, the Pythagorean Theorem, circles, loci, basic constructions, areas, and volume

### Algebra II

- Reviews and extends students' knowledge and skill in algebraic computation
- Postulates of real numbers, extension of the laws of exponents, factoring polynomials, solving linear and quadratic equations, using matrices to solve systems with two or three unknowns, inequalities, simplifying rational expressions, conic sections, complex numbers, and linear, quadratic, exponential, and logarithmic functions

### Advanced Algebra and Trigonometry

- For students who want to increase their math options but don't plan on taking calculus in college
- Very similar to a college algebra course
- 1st Semester – Extended study of algebraic functions, including math induction, sequences, and series
- 2nd Semester – Algebra of the trigonometric functions and their applications

### Pre-Calculus

- For students planning to take math or science in college
- Special functions: greater integer, circular, trigonometric, polynomial, rational, exponential, logarithmic
- Analytic geometry: rectangular and polar coordinate systems, conic sections, parametric curves
- Optional topics: mathematical induction, permutations, combinations, probability, rotation of axes

### Calculus

- Sequences and summation, conic sections, mathematical induction, matrices, vectors
- Introduction to the concept of limit from both an intuitive and formal approach
- Definition of and techniques for finding the derivative, curve sketching, practical applications
- Concept of and techniques for finding the integral and its basic application