# Mathematics Department

A graduate of the Woodward School will be mathematically literate, have confidence in her ability to think logically, apply her knowledge in mathematics to new problem situations, appreciate the relationship of mathematics to advances in sciences and technology, and will value the usefulness of mathematics as a field of study. The Mathematics Department strives to provide a safe classroom environment with supportive teachers who have high expectations of their students. Students are encouraged to be critical and independent thinkers.

The mathematics curriculum is designed to provide students with opportunities to develop skills, gain understanding of concepts and processes, and to apply these skills in real situations. Students are required to take a full year of mathematics at every grade level. All students take a general Math 6 in sixth grade. At the end of sixth grade, students are placed in one of two levels of mathematical study. Placement is based on grade average, performance, and teacher recommendation. In high school, classes are offered at the College Prep, Honors and Advanced Placement level.

## Mathematics Classes

## + Grade 6

In grade six, students build on their general math knowledge, understanding and proficiency. Concepts and procedures with whole numbers, decimals, and fractions are covered in depth. Other topics covered include integers, estimation, problem solving, solving equations, probability, and geometry.

## + Grade 7 - Pre-Algebra Part A

This is the first part of a two-year course that builds a strong foundation for Algebra and enhances understanding. Some of the topics covered are operations with rational numbers, expressions, solving equations, multi – step equations, inequalities, factors, fractions and exponents.

## + Grade 7 - Algebra Part B

This is the first part of a two year course that covers operations to simplify algebraic expressions and polynomials, solve and graph linear equations and inequalities, solve systems of equations, problem solving and apply rules of exponents.

## + Grade 8 - Pre-Algebra Part B

Part two of the pre-algebra study covers rational numbers, ratio, proportion, probability, data analysis, percent, analyze and solve linear functions, real numbers and right triangles, angle relationships, measurement, area, volume, and polynomials.

## + Grade 8 - Algebra Part B

Part two of the challenging algebra study covers exponents, functions, exponential functions polynomials, factoring, quadratic equations and functions, data analysis and probability.

## + Algebra Prep

The topics studied in Algebra 1 include the properties of and operations with real numbers, solving multi-step linear equations and inequalities, graphing linear functions, writing linear equations, graphing quadratic equations, solving quadratic equations, and operations with polynomial functions. Applied problems that can be solved using these topics will be studied. The TI Inspire CX is required for this class.

## + Algebra Prep, Honors

The content of Algebra 2 is presented by studying and graphing families of functions: quadratic, rational, and radical. Also, included in the content is solving these functions, extending the real number system to include imaginary numbers, solving systems of equations, radical equations, rational equations and exponential equations. Applied problems will be studied when applicable. The TI Inspire CX is required for this class. Prerequisite: Algebra I

## + Geometry Prep, Honors

This course begins by defining the terms of point, line and plane. We will introduce reasoning and proofs; study the relationships of parallel, perpendicular lines, triangles, quadrilaterals and polygons. Students will study right triangles and trigonometric functions and analyze surface area / volume of geometric shapes. Each student will construct a polyhedron, research its characteristics and calculate the surface area. The TI Inspire CX is required for this class. Prequisite: Algebra II

## + Pre-Calculus - Honors

The topics students will study in Pre-Calculus H are polynomials and rational functions, logarithmic and exponential functions, the graphs of and the translations of the graphs of these functions, operations with complex numbers using both rectangular and polar coordinates, parametric equations, partial fraction decomposition and circular trigonometry. Intrinsic to mathematics courses is the demand to think critically and creatively. This course will teach students to use higher-order thinking skills to evaluate, solve and communicate the results of complex problems. The TI Inspire CX graphing calculator is required for this course and it will be integral to the understanding of the topics. Prerequisite: Geometry, and teacher recommendation

## + Pre-Calculus - College Prep

Pre-Calculus students will initially review linear and quadratic functions, their equations, their graphs and methods of solving these functions. The new topics will include polynomial, rational, and exponential functions and their graphs, operations with complex numbers, and an introduction to circular trigonometry. This course will teach students to use higher-order thinking skills to evaluate, solve and communicate the results of complex problems. The TI Inspire CX graphing calculator is required for this course and it will be integral to the understanding of the topics. Prerequisite: Geometry

## + Statistics/Principles of Finance - College Prep Gr.12

This course covers a general understanding of the applications of statistics beginning with the organization of data and moving through hypothesis testing. Topics discussed are measures of central tendencies, averages and variations, correlation and regression, binomial probability, normal curves and sampling distributions. Principles of Finance will give students the opportunity to study vocational opportunities, money management and saving for the future. Required calculations for this course will be accomplished using Excel spreadsheets or the required TI Inspire CX graphing calculator. Prerequisite: Algebra II

## + Calculus - Honors

The topics covered in Calculus include limits and continuity of function, derivatives of algebraic, trigonometric and exponential functions and their applications in problems involving rate, integration of algebraic, trigonometric, and exponential functions, and their applications in problems involving area and volume. The TI Inspire CX graphing calculator is required for this course and it will be integral to the understanding of the topics. Prerequisite: Pre-Calculus

## + AP Calculus

The advanced calculus course prepares students to take the AP Calculus exam. The curriculum follows the designated curriculum of the College Board. Limits, derivatives, integrals and their applications will be studied. The TI Inspire CX graphing calculator is required for this course and it will be integral to the understanding of the topics. Students in this class are required to take the AP examination in May. Prerequisite: Pre-Calculus and teacher recommendation