Mathematics

MATHEMATICS SEQUENCING
LEVEL	GRADE 9	GRADE 10	GRADE 11	GRADE 12
University-Level Preparation for General Mathematics	Algebra I	Geometry	Algebra II *	College Algebra
				AP Statistics
		Algebra II * plus Geometry	College Algebra	Pre-Calculus
				AP Statistics
	Geometry	Algebra II *		Pre-Calculus
				AP Statistics
University-Level Preparation for Advanced Mathematics	Algebra I	Algebra II * plus Geometry	Pre-Calculus	Calculus or AB Calculus
	Geometry	Algebra II *
	Geometry Honors	Algebra II Honors *	Pre-Calculus Honors	BC Calculus or AB Calculus

NOTES:

* AP Statistics can be taken any time after completion of Algebra II with an 85% or higher

IB Placement will be based on previous Math course history

Algebra I

This course is designed to give students the manipulative skills required to deal with linear and quadratic expressions and equations. Students study the properties of real number arithmetic and apply them to linear and quadratic algebraic expressions, formulae, equations, and inequalities. Operations with polynomials are covered in detail. Word problems and real-life applications are woven into the course material, and are vital to the course as they aid in the development of critical thinking and creativity in the students.

Special Requirement: Students will need a graphing calculator for this course. The TI-84 Graphing Calculators highly recommended, because the TI-84 will be used for all other classes up to and including Algebra II. TI-84’s will be available for sale on campus but can be purchased at a lower price in North America.

Text: Algebra (Larson, Boswell, Stiff)
Credits: 1
Grades: 9
Prerequisite: Math 8 or higher

Geometry

This is a required full-year course. This course follows Algebra I and precedes Algebra II. This is the second course in the sequence, usually taken in the ninth or tenth grade. This course is the study of the real, physical world and of visualization, drawing and construction of figures. Geometry integrates coordinates and transformations throughout, and gives strong attention to measurement formulas and three-dimensional figures. Work with proof writing follows a carefully sequenced development of the logical and conceptual precursors to proof. Integrated throughout the text are concepts from algebra, applied, and discrete mathematics. Reading of the textbook is emphasized and expected for success. This course should be taken concurrently with Intermediate Algebra for students needing algebra review. This course can also be taken concurrently with Algebra II for strong mathematics students with teacher approval. This course is also offered at the Honors level with prior teacher recommendation. The Honors course is more rigorous and covers additional topics.

Text: Geometry (McDougal Littell), (Larson, Boswell, Stiff)
Credits: 1
Grades: 9 - 12
Prerequisite: Algebra I

Geometry Honors

This is a full-year course that covers the same topics as Geometry, as well as additional topics. It is more rigorous and will cover approximately two to three more chapters, thus moving at a faster pace. This course can also be taken concurrently with Algebra II for strong mathematics students with teacher approval.

Text: Geometry (McDougal Littell), (Larson, Boswell, Stiff)
Credits: 1
Grades: 9 - 12
Prerequisite: See AP/Honors Addendum

Algebra II

This course follows Geometry and precedes College Algebra or Pre-Calculus. The contents integrate geometry, discrete mathematics and statistics along with algebra. Topics include: Equations and Inequalities, Linear functions, Systems, Matrices and Determinants, Quadratics, Polynomial Functions, Powers, Roots, Radicals, Exponential and Logarithmic Functions, Rational Functions, and Trigonometric Ratios and Functions.

Text: Algebra 2 (Larson, Boswell, Stiff)
Credits: 1
Grades: 10 - 12
Prerequisite: Algebra I and Geometry

Algebra II Honors

This course is intended for strong math students. Topics are taught at a fast pace and at a high level of difficulty. Algebra II serves as a natural extension of topics covered in Algebra I. The content and pace of the course are rigorous and require students to develop higher order thinking skills in preparation for Honors Precalculus mathematics. Topics include polynomial and rational expressions, systems of equations and inequalities, functions, matrices, radicals, irrational numbers, complex numbers, conic sections, quadratic systems, exponential and logarithmic functions, curve fitting, trigonometry including identities, and series and sequences.

Text: Algebra 2 (Larson, Boswell, Stiff)
Credits: 1
Grades: 10 - 12
Prerequisite: See AP/Honors Addendum

College Algebra

This course is designed as a review of topics introduced in Algebra II with further topics covered in a college level Algebra course. It is primarily useful for students not ready to take Precalculus or Calculus at this time or not entering a math/science field at university. Topics could include Equations, Inequalities, Functions and Graphs, Polynomial and Rational Functions and Conics, Exponential and Logarithmic Functions, Systems, Matrices and Determinants, and Sequences, Series and Probability.

Text: College Algebra, seventh edition, 2007 by Larson and Hostetler
Credits: 1
Grades: 11 - 12
Prerequisite: Algebra II

Pre-Calculus

Pre-Calculus is an advanced high-school math course intended for those students who are preparing for AB Calculus or university-level Calculus. Students are expected to begin the course with an understanding of linear and quadratic functions, factoring, equation solving, basic properties of exponents and logarithms, and basic graphing of functions. The course focuses heavily on three topics. First, the students will investigate graphing transformations and important properties of functions including domain, asymptotes, and symmetry. Second, the students will create understanding of trigonometry, including the unit circle, SOHCAHTOA, identities, verifications, and solving trig equations. Finally, the students will prepare for AB Calculus by investigating the concepts of derivatives, limits, and instantaneous rates of change.

Special Requirement: Students will need a graphing calculator for this course. The TI-89 Graphing Calculators highly recommended, because the TI-89 will be used for all other classes up to and including Calculus. TI-89’s will be available for sale on campus but can be purchased at a lower price in North America.

Text: Precalculus with Limits, A Graphing Approach (Larsin, Hostetler and Edwards)
Credits: 1
Grades: 11 -12
Prerequisite: C+ or better in Algebra II

Pre-Calculus Honors

Pre-Calculus Honors is an advanced high-school math course intended for those students who are preparing for BC Calculus or university-level Calculus. Students are expected to begin the course with an understanding of linear and quadratic functions, factoring, equation solving, basic properties of exponents and logarithms, matrices and linear systems and basic graphing of functions. The course focuses heavily on four main topics. First, the students will investigate graphing transformations and important properties of functions (linear, polynomial, rational, exponential, and logarithmic) including domain, range, asymptotes, symmetry, end –behavior and limits. Second, the students will develop a deep understanding of trigonometry, including the unit circle, SOHCAHTOA, identities, inverses, verifications, solving trig equations and applying these techniques to everyday applications. The Law of Sines and Law of Cosines and vectors will also be included. Next, arithmetic and geometric sequences and series will be investigated including some probability principles. At the end of the year, topics in Analytical Geometry including all conics will be examined including the study of parametric equations, polar equations and graphing. If time permits, additional work on limits could be explored.

Text: Precalculus with Limits, a Graphing Approach, 2005. (Larson, Hostetler, and Edwards)
Credits: 1
Grades: 11 - 12
Prerequisites: See AP/Honors Addendum

Calculus

This is a one-year course that will cover the same topics as AP Calculus but with a slower pace and a less rigorous schedule. The textbook will be the same as AP Calculus. Some chapter coverage may be different.

The approach will be more practical and less theoretical. This is an excellent choice for non math-science majors.

Text: Calculus of a Single Variable, (Houghton Mufflin, Larsin, Hostetler and Edwards)
Credits: 1
Grade: 12
Prerequisite: Pre-Calculus

Advanced Placement Calculus AB

Calculus is the study of algebraic, trigonometric and logarithmic functions and their derivatives; the introduction to and development of limits and their properties; the applications to maximum and minimum values of the functions; the introduction to and development of the basic integration formulas, and rules for the functions. Studies also include inverse functions, exponential and trigonometric functions, the development of areas and volume of solids revolving around an axis, and the refinement of all integration techniques. This course will prepare students to take the College Board AP Calculus AB examination.

Text: Calculus of a Single Variable, (Houghton Mufflin, Larsin, Hostetler and Edwards)
Credits: 1
Grade: 12
Prerequisite: See AP/Honors Addendum

Advanced Placement Calculus BC

AP Calculus BC is an extremely advanced high school math course intended to mirror 2 semesters of university-level calculus. This course is strictly designed for only the most capable and motivated student. Learning is fast-paced, rigorous, and thorough. Students are expected to begin the course with a fluid understanding of functions and their graphs, trigonometry, exponents and logarithms, sequences and series, and parametric and polar coordinates.
The course consists of 8 major exams and 16 minor quizzes. Students will finish the AB-level topics by the end of the 1st semester. The first-semester final exam will be an AB-style mock exam. The students will spend the third quarter exploring polar coordinate-calculus and Taylor series representations. There will be a third-quarter mock BC exam that will count for 20% of the second semester grade.
Topics specific to the BC course include integration by parts and partial fractions, improper integrals, the calculus of parametric, polar and vector coordinates, and Taylor series representation. For course descriptions, please see http://apcentral.collegeboard.com/apc/public/courses/index.html for both AB and BC Calculus.

Text:Calculus of a Single Variable, (Houghton Mufflin, Larsin, Hostetler and Edwards)
Credits: 1
Grades: 12
Prerequisite: See AP/Honors Addendum

Introduction to Probability and Statistics

This is a practical course which studies the probability of events that occur in our world. Concepts include: experimental and theoretical probabilities, counting techniques including trees, combinations, permutations, area probabilities, odds, adjusting for fairness, conditional probabilities, expected outcome, probability density, games, risk versus reward, deal or no deal, false positive/ false negative medical testing, superstition. The texts and materials used in this course are written in a narrative format with case studies rather than the typical outline structure of required math courses. Students will be required to do more reading, analyzing, and discovery than a typical math course. This one-semester math elective will introduce methods of collecting, organizing, analyzing, and interpreting information from numerical data. Statistics is used widely in politics, medicine, sociology, education, business, and in life and physical sciences.

Textbooks: The Pleasures of Probability - Richard Isaac, Understanding Probability - Henk Tijms, Elementary Statistics, 3rd Ed. – Larson
Credits: .5
Grades: 10 - 12
Prerequisite: Algebra II or concurrently with Algebra II

Advanced Placement Statistics

This course is equivalent to a one semester, non-calculus based, college course in statistics. This university level course is typically required for majors such as social sciences, health sciences, and business, etc. This course will also serve as preparation for engineering and mathematics students and other technical majors. The topics for AP Statistics are divided into four major themes: exploratory analysis, planning and conducting a survey, probability, and statistical inference.

Text: Elementary Statistics - Picturing the World, 3rd Ed., Larson, 2006
Credits: 1
Grades: 11 - 12
Prerequisite: See AP/Honors Addendum