Math

MATHEMATICS

STATEMENT OF PHILOSOPHY

Mathematics is an integral part of the world in which we live. It is a language of expression which progresses through all stages of cognitive development from the sensorial to the abstract. Ever changing, it permeates our lives outside of the school and within the classroom. Students throughout their education should be encouraged to develop a spirit of inquiry and intellectual curiosity toward mathematics.

To enable students to meet current and future demands, mathematics education must focus on the students’ capacity to make use of what they have learned in all settings. Such an education involves the ability to discern mathematical relationships and should provide opportunities for all students to perform computations, find applications, and develop generalizations.

ESSENTIAL AGREEMENTS

To experience success in learning mathematics in respect to individual developmental stages of growth.
To explore math through meaningful, everyday experiences using concrete, pictorial and abstract processes.
To use technology as an effective tool for mathematics.
To develop thinking skills such as estimation and mental math in problem-solving and applicable situations.
To use graphs, tables and written language in order to gather data and communicate results.
To recognize the relationship between mathematics and other subjects.
To develop a positive attitude toward mathematics.
To forge connections between oral and written language and the language of mathematics.
To be prepared to successfully meet the demands of higher learning.

STANDARDS FOR MATHEMATICS

Students use a variety of strategies in problem solving.
Students use a variety of strategies in problem solving.
Students use basic and advanced procedures while performing the process of computation.
Students understand and apply basic and advanced concepts of algebra.
Students understand and apply basic and advanced concepts of data analysis and distributions.
Students understand and apply basic and advanced concepts of probability and statistics.
Students understand and apply basic and advanced properties of geometry.
Students understand and apply basic and advanced properties of measurement.
Students understand and apply basic and advanced properties of number systems.
Students understand the general nature and uses of mathematics.

305 ALGEBRA 1

This course has been designed for the student who has completed Math 8 in the eighth grade and presumes that the student has mastered the four operations with signed numbers, solutions of simple equations, and the four operations with polynomials. This course covers solving fractional and absolute value equations and linear inequalities. Linear and quadratic functions and their graphs will be studied.
Prerequisite: Math 8

307 GEOMETRY

The emphasis in this course is on Euclidean geometry of lines, triangles, circles, right triangle relationships, polygons, and related constructions, with real world applications. Synthetic geometry will be integrated with units related to coordinate and transformational geometry whenever applicable. Logical thinking will be stressed throughout the course with specific application to two-column deductive proofs.
Prerequisite: Algebra I

311 ALGEBRA II AND TRIGONOMETRY

This course extends many of the concepts introduced in Algebra I. Matrices and their applications are studied in depth with the use of determinants to solve two and three equations. Coordinate geometry is extended to include further study of functions. Graphing calculators will be used extensively throughout the course and will be used to solve equations and inequalities. Complex numbers and their graphs will be studied. Trigonometry and trigonometry functions will be studied
with applications to real world situations. It is highly recommended that students entering this course obtain a Texas Instrument TI 83 graphing calculator.
Prerequisite: Algebra I and Geometry

323 PRE-CALCULUS

This course is designed for mathematics students who have been successful in Geometry and Algebra II. It includes topics from trigonometry such as the study of trigonometric functions of angles, identities and equations, graphs of trigonometric functions and their inverses. Topics from analytic geometry include an in-depth study of conic sections, polar coordinates, and logarithmic and exponential functions and their graphs. Other topics such as the binomial theorem, sequences and series, limits, vectors, matrices, and the study of higher degree polynomial equations are also included.
Prerequisite: Two years of algebra and one year of geometry

321 IB MATH STUDIES STANDARD LEVEL

This course is primarily for students who are IB Diploma candidates. IBMS consists of a survey of various topics in math under the broad headings of algebra, geometry, trigonometry, and probability and statistics, logic, linear programming, flow charts, and matrices. Students are also required to complete a research project in mathematics during the second semester. This course is specifically directed at the IBMS exam.
Prerequisite: Algebra II (with average of 90 for first 3 quarters) or Pre-Calculus, or Dept. recommendation

353 IB MATHEMATICAL METHODS STANDARD LEVEL

This two-year course is designed for able mathematics students and fulfills the requirements for the IB Mathematics Standard Level program. It includes a study of analytic geometry, functions, limits, derivatives of algebraic functions and their applications, and integration and applications of the definite integral. Additional topics such as transcendental functions, methods of integration, solid analytic geometry, polar coordinates, hyperbolic functions, vectors and parametric equations, infinite series, and differential equations will also be covered. Students will be required to have a portfolio of their work as an integral part of their assessment.
Prerequisite: Algebra II

355 IB MATHEMATICS HIGHER LEVEL

This two-year course is primarily designed for highly motivated students who have an outstanding ability and are interested in a Higher Level mathematics program. It includes a study of analytic geometry, functions, limits derivatives of algebraic functions and their applications, and integration and applications of the definite integral. Additional topics such as transcendental functions, methods of integration, solid analytic geometry, polar coordinates, hyperbolic functions, vectors and parametric equations, infinite series, and differential equations will also be covered. The course also offers an extensive look at further calculus with an emphasis on probability and statistics. Students will be required to have a portfolio of their work as an integral part of their assessment.
Prerequisite: Algebra II and faculty recommendation

319 PROBABILITY AND STATISTICS

First semester course only.
This one semester course is designed for mathematics students who have been successful in Geometry and Algebra II and would like to explore the field of statistics. Topics include data collection, computing measures of central tendency, random variables, probability distributions, sampling methods, estimating parameters, and hypothesis testing.
Prerequisite: Geometry and Algebra II.

325 DISCRETE MATHEMATICS

Second semester course only.
This one semester course is designed for capable students who have been successful in Algebra II and would like to explore other topics in mathematics. It includes a study of logic of compound statements, logic of quantified statements, introduction to proof, elementary number theory, sequences, and mathematical induction.
Prerequisite: Algebra II

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