"The Future is in Your Hands"

New York • New Jersey • California

# ALGEBRA I

Covers the following:

1. Connections to algebra
2. Rules of algebra
3. Solving, writing and graphing linear equations
4. Solving and graphing linear inequalities
5. Solving systems of linear equations
6. Powers and exponents
8. Polynomials and factoring
9. Using proportions and rational equations
10. Functions
11. Radicals and more connections to geometry
12. Solving systems of linear equations
14. Quadratic Equations and formula

# ALGEBRA II

Teachers instruct on computational work with signed numbers, fractions and decimals, as well as problem solving with a focus on algorithms. The NCTM Standards serve as a foundation by emphasizing problem solving, reasoning, communication and
connections to real life through word problems interspersed throughout the curriculum. In addition, graphing calculators are introduced to allow a more advanced study of functions. Students will cover:

1. Algebraic terminology
2. Real numbers and number properties
3. Equations and inequalities
4. Linear equations and functions
5. Systems of linear equations and inequalities
6. Polynomials
7. Rational and radical expressions/equations
8. Quadratic equations and functions
9. Matrix operations
10. Complex numbers
11. Trigonometry
12. Probability
13. Introduction to logarithms

# GEOMETRY

Students will cover:

1. Basic geometric objects in the plane and terminology relating to geometry
2. Deductive reasoning and logical problem solving
3. Properties of parallel lines and planes
4. Right and congruent triangles and trigonometry
6. Ratio, proportion, and application to similar polygons
7. Circles
8. Areas of plane figures
9. Volumes of solid figures

# TRIGONOMETRY

Students learn the basic concepts of discrete math and trigonometry using a project oriented approach involving regular use of graphing calculators. Students will develop strategies to be applied to practical real world applications, collaborate and develop verbal and written skills in the process of solving the problem, apply critical thinking and reasoning procedures in working toward a solution, and make mathematical connections within and across disciplines through a wide range of problem types. Students will cover:

Trigonometry

• Right triangle trigonometry and circular functions
• Graphs of trigonometric functions
• Laws of sine and cosine

Numerical Analysis

• Principles of counting
• Numerical methods of analyzing data
• Graphic representation and interpretation of sample data

# PRE-CALCULUS

Students will cover:

1. Functions: polynomial, rational, exponential, trigonometric and logarithmic and their graphs
2. Analytic trigonometry and extended topics in trigonometry
3. Vectors
4. Matrices and determinants
5. Sequences, series, and probability
6. Limits and introduction to the calculus (optional)