# Mathematics

Classes within the mathematics department are designed to broaden the mathematical knowledge and skills of our students and to prepare them for higher-level mathematics and courses. With offerings from algebra to AP Calculus and beyond, students are taught to master the fundamental processes while their problem-solving abilities are challenged with increasingly complex material.

## Algebra 1 CP (1 year/1.0 unit)

This is a one-year course with some discussion of theory and application beyond basic manipulative skills. Topics include simplifying expressions, solving and graphing equations and inequalities, factoring polynomials, simplifying rational expressions, solving systems of equations and simplifying radicals. The course concludes with the quadratic formula. Students will learn how to use a TI-84+ graphing calculator.

Prerequisite: None

## Algebra 1 Honors (1 year/1.0 unit)

This is a one-year course with some discussion of theory and application beyond basic manipulative skills. Algebra 1 Honors involves an in-depth exploration of algebraic concepts, through additional word problems and mathematical labs. Concepts covered in this course include simplifying expressions, solving and graphing equations and inequalities, factoring polynomials, simplifying rational expressions, solving systems of equations simplifying radicals and solving quadratic equations. Students will use a TI-84+ graphing calculator to complete hands on mathematical laboratory experiments. The Honors course concludes with an introduction to Algebra II concepts.

Prerequisite: Recommendation from 8th grade math instructor along with a final grade of A, A-, or B+

## Geometry CP (1 year/1.0 unit)

This comprehensive two-semester, Euclidean-based geometry course emphasizes and integrates both inductive and deductive reasoning as well as visual-spatial skills. Congruence, similarity, parallelism, perpendicularity and properties of the Euclidean plane are integrated in a continual development and practice of mathematical reasoning. A balanced treatment of theory and application, as well as formal and informal reasoning as demonstrated through written proofs and problem-solving are an integral part of the course work. Students discover new theorems and explore transformations using dynamic software. Once a new theorem is accepted and internalized, students are guided through the formal mathematical proofs of these new conjectures. A graphing calculator is required. A TI-84+ calculator is suggested.

Prerequisite: Algebra 1

## Geometry Honors (1 year/1.0 unit)

Areas of study include those listed for the Geometry course. In addition, this course places a greater emphasis on mathematical proof, creativity and transformations. Students are encouraged to explore challenging problems and stretch their sense of mathematics. A graphing calculator is required. A TI-84+ calculator is suggested.

Prerequisite: Algebra 1 and departmental approval

## Algebra 2 CP ( 1year/1.0 unit)

This class is designed to provide the structure necessary for a successful transition to Precalculus. Areas of study include, but are not limited to, topics in inequalities (including absolute value), properties and functions of number sets (real and complex), relations and functions, radicals, polynomial equations, quadratic, exponential, logarithmic and trigonometric functions, sequences and series, trigonometric relations and identities and solving triangles. This course is designed to prepare the student for Precalculus. A graphing calculator is required. A TI-84+ calculator is suggested.

Prerequisite: Algebra 1

## Algebra 2 Honors (1 year/1.0 unit)

Areas of study include those listed for the Algebra 2 course. In addition this course places a greater emphasis on mathematical proof and explores variation, analytic geometry and trigonometric relationships. This course is designed to prepare the student for Honors Precalculus. A graphing calculator is required. A TI-84+ calculator is suggested.

Prerequisite: Algebra 1, or Algebra 1 Honors and departmental approval

## Precalculus CP (1 year/1.0 unit)

This course provides a thorough study of relations and functions with a graphing calculator. Algebraic, numerical and graphical techniques are used for understanding and solving problems. The topics covered in this course are polynomial functions, rational functions, exponential functions, logarithmic functions, trigonometric functions, conic sections, sequences & series, parametric equations and a variety of applications.

Prerequisite: Algebra 2 and Geometry

## Precalculus Honors (1 year/1.0 unit)

This course provides an intensive study in preparation for advanced placement math courses. The areas of study include the topics covered in Precalculus in addition to systems of equations and inequalities, matrix theory, sequences, series and a survey of discrete algebra. Students will also receive an introduction to calculus, as they begin studying limits.

Prerequisite: Algebra 2, Geometry and departmental approval

## AP Statistics (1 year/1.0 unit)

AP Statistics is the high school equivalent of a one-semester, introductory college statistics course. In this course, students develop strategies for collecting, organizing, analyzing and drawing conclusions from data. Students design, administer and tabulate results from surveys and experiments. Probability and simulations aid in constructing models for chance phenomena. Sampling distributions provide the logical structure for confidence intervals and hypothesis tests. Students use a graphing calculator, Fathom statistical software and Web-based java applets and activities to investigate statistical concepts. To develop effective statistical communication skills, students are required to prepare frequent written and oral analyses of real data.

Prerequisite: Precalculus and departmental approval

## AP Calculus AB (1 year/1.0 unit)

This is a college-level course in calculus designed to prepare the student for the AP Calculus AB exam. The course covers the calculus of functions of one variable. The appropriate use of technology will be integrated into the course through the use of graphing calculators with computer algebra software on laptop computers. Ideas are explored graphically, symbolically and conceptually. Topics covered include limits, continuity, derivatives, antiderivatives, the Fundamental Theorem of Calculus, and techniques and applications of integration, separable differential equations and slope fields. This course will also prepare students for the AB Calculus Advanced Placement exam (which is required) in May.

Prerequisite: Precalculus and departmental approval

## AP Calculus BC (1 year/1.0 unit)

This intensive and fast-paced course is a rigorous study of single-variable calculus. The course prepares students for the Advanced Placement Calculus BC exam. Topics include all those listed under Calculus AB plus polar and parametric functions, Euler’s method, applications of integration, polynomial approximations and infinite series, including Taylor Series.

Prerequisite: Precalculus Honors and departmental approval