"The Future is in Your Hands"

New York • New Jersey • California

P:  973.454.1587   E:  aecmontville@gmail.com 

Mathematics

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 
  7. Quadratic equations 
  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 
  13. Radical expressions 
  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 
  5. Quadrilaterals, including special quadrilaterals 
  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)