Mathematical Reasoning
Teacher: Kenny Katz

Core textbook: Basic Mathematics, Third Edition by Estok, Griffith, Knaub, and Sweat (Pearson Education, Inc., 2000)

Course Overview:
This course will provide students with the building blocks necessary to tackle basic math calculations. A significant amount of time will be dealt with whole numbers, performing addition, subtraction, division, and multiplication on whole numbers. Then we will focus on Greatest Common Factor and Least Common Multiple. We will then concentrate on fractions, performing addition, subtraction, multiplication, and division on fractions. Other topics that will be explored include decimals, percents, rations, proportions, graphs, statistics, customary and metric measurement, Geometry, and Algebra. 

Course Goals:

• Know the difference between an odd and even number.
  
• Add with more than one regrouping.
  
• Change fractions to higher terms.
  
• Divide mixed numbers.
  
• Subtract decimals.
  

Mathematical Concepts
Teacher: Kenny Katz

Core Textbook: Thinking Mathematically by Robert Blitzer (Pearson Prentice Hall 2008) 

Curriculum Overview
This course will provide students with a general survey of topics and ideas in mathematics that are useful in our contemporary world. Topics studied will include set theory, logic, number representation and calculation, measurement, geometry and algebra, basic financial math, basic probability theory and statistics, mathematical systems, and voting and apportionment. This class is intended to develop analytical and critical thinking skills by studying mathematics found in everyday life. Moreover, students will gain a fundamental understanding of the importance and relevance of mathematics. 

Course Goals

• Identify pattern in a list of numbers.
  
• Find the cardinal number of a set.
  
• Decide if an argument is valid and rewrite it as a conditional statement.
  
• Find the greatest common divisor of two numbers.
  
• Evaluate one and two step equations.

Geometry
Teacher: Kenny Katz

Core Textbook: Geometry by Larson, Boswell, Kanold and Stiff (McDougal Littell 2007) 

Course Overview:
This course will help studetns gain a solid foundation in geometry, preparing them for study in other courses such as Algebra 2 and trigonometry. Students will develop analytical skills by studying topics which will include points, lines, planes, angle classification and comparison, conditional statements, parallel lines and transversals, triangle congruency, perpendicular and angle bisectors, ratios, proportions, triangle similarity, Pythagorean theorem, quadrilaterals, properties of rhombuses, rectangles, squares, trapezoids, kites, and, if time allows, translations and transformations. 

Course Goals:
Students will understand the mathematical foundations of basic geometry. Students will use problem solving skills combined with geometric drawings to explore this area of mathematics. Specifically, we will work with the following concepts: 

• Describe a pattern in a list of numbers.
  
• Distinguish between convex and concave polygons.
  
• Identify corresponding, alternate interior, alternate exterior, and consecutive exterior angles.
  
• Apply the third angles theorem.
  
• Use the Pythagorean triples to solve a right triangle.

Algebra I 
Teacher: Daniel Oren

Core Textbook: Algebra: Structure and Method, Book 1 by Brown, Dolciani, Sorgenfrey and Cole (McDougal Littell 2000) 

Course Overview:
This foundational introductory class initiates the development of algebraic skills through the study of linear, quadratic and polynomial functions. Topics studied will include: problem solving, integers, fractions, decimals, percents, variable expressions, linear and quadratic equations, exponents, polynomials, rational expressions, square roots, factoring, and linear graphs. 

Course Goals:

• Students will apply and use the distributive property. 
  
• Students will solve proportions using cross products.
  
• Students will write and simplify expressions involving exponents.
  
• Students will graph ordered pairs and linear equations in two variables.
  
• Students will solve problems that involve inequalities. 

Algebra II 
Teacher: Kenny Katz & Daniel Oren

Core textbook: Algebra II by Larson, Boswell, Kanold and Stiff (McDougal Littell 2007) 

Course Overview:
This course is designed as a further development of algebraic skills through the study of linear, quadratic, exponential, logarithmic, radical and exponential functions. We will learn how to represent and study functions and linear systems through equations, tables and graphs. 

Course Goals:

• Students will solve linear equations and linear inequalities involving an absolute value.
  
• Students will solve a system of linear equations and inequalities using the substitution method, or by graphing.
  
• Students will add, subtract, multiply, divide, reduce, and evaluate rational expressions with monomial and polynomial denominators and simplify complicated rational expressions.
  
• Students will solve and graph quadratic equations by factoring, completing the square, and using the quadratic equation.
  
• Students will use the properties of logarithms to simplify and evaluate logarithmic functions. 
  

Precalculus 
Teacher: Daniel Oren

Core textbook: Precalculus, 4th Edition, by Robert Blitzer (Pearson Prentice Hall 2010)

Course Overview:
This course is intended to give students a solid foundation in algebra and trigonometry, preparing them for future courses such as calculus and finite mathematics. Students will develop and use problem-solving skills and learn how algebra and trigonometry can be used to model and solve real-world problems.

Course Goals:

• Students will identify, graph and evaluate all 6 trigonometric functions (sine, cosine, tangent, secant, cosecant, and cotangent), as well as transformations of these functions.
  
• Students will use the addition and half angle formulas for sines and cosines to evaluate angles that can be written as the sum or product of two angles.
  
• Students will use the law of sines and the law of cosines to solve for all sides and angles of a triangle.
  
• Students will represent equations given in rectangular coordinates in terms of polar coordinates.
  
• Students will graph polar equations.
  

Calculus 
Teacher: Daniel Oren

Core textbook: Calculus by Larson, Hostetler, and Edwards, Eighth Edition

Course Overview: This course is intended to give students a solid foundation for Calculus, the study of change. In Calculus, we will learn about limits, functions, derivatives, integrals and more. We will learn how these topics relate to the real world in terms of design and optimizing performance through calculations.

Course Goals:

• Students demonstrate an understanding of the formal definition of the derivative of a function at a point and the notion of differentiability.
  
• Students compute derivatives of higher orders.
  
• Students use differentiation to solve optimization (maximum-minimum problems) in a variety of pure and applied contexts.
  
• Students use differentiation to solve related rate problems in a variety of pure and applied contexts.
  
• Students apply the definition of the integral to model problems in physics, economics, and so forth, obtaining results in terms of integrals.
  
• Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work.

Engineering 
Teacher: Daniel Oren

Course Overview: This course is intended as an introduction to different types of engineering. Students will complete projects in civil engineering, structural engineering and electrical engineering. They will learn about the principles of design and make calculations to produce the best design possible.

Course Goals:

• Students will learn how to measure, scale, draw and build models of buildings.
  
• Students will learn strengths of materials, and will learn the benefits of why certain materials are chosen for building structures.
  
• Students will learn how to design simple circuits.
  
• Students will use Ohm's Law to calculate and find voltage, resistance and current.
  
• Students will learn how to use a voltmeter.

Statistics 
Teacher: Daniel Oren

Core textbook: Stats Modeling the World, Third Edition by Bock, Velleman and De Veaux (Pearson Addison Wesley 2010) 

Course Overview:
This course will provide students with a general survey of topics and ideas in higher mathematics that are useful in our contemporary world. Topics studied will include set theory, logic, number representation and calculation, consumer mathematics and financial management, counting methods and probability theory, statistics, mathematical systems, voting and apportionment, and graph theory. Students will develop analytical and problem-solving skills by studying mathematics they encounter in everyday life. 

Course Goals:

• Students will use frequency table, histograms, bar graphs, stem and leaf displays and scatterplots to organize distributions of data.
  
• Students will compute the mean, median, mode and standard deviation of a distribution of data.
  
• Students will find a regression equation from the summary statistics from variables and the correlation between the variables.
  
• Students will compute theoretical, empirical and conditional probabilities.
  
• Students will be able to discuss the results of a simulation study and draw conclusions about the question being investigated.
  

Note: This class is not being offered during the 2011-2012 school year.