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Mathematics
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MATHEMATICS
Career Paths are:
It is recommended that students complete one mathematics class each year in grades 9 and 10. Students may select a mathematics class each semester during grades 11 and 12 if desired. Students in grades 9 and 10 may select two mathematics classes each year if they are very strong math students, are recommended by their current math teacher, and have counselor approval.
GENERAL MATH - This course is designed to prepare students for successful transition into the Introduction to Algebra course. Two math courses are required beyond General Math for graduation. The course focuses upon the basic computational skills students need for everyday life and entry into Introduction to Algebra. Activities for the course include practice with whole numbers, fractions, decimals, percent, proportion and ratio. There are also informal studies of probability, statistics, algebra and geometry. Consumer applications are also provided, each based on everyday situations in which math is valuable to the student. Career lessons are included which demonstrate ways the workday world puts math skills to use, including any of the occupational and/or educational programs and occupations in business, trades, technical, science, health, arts, and social services. Students failing to secure a 222 RIT score on the NWEA Tall Test will be required to take this class. This course DOES NOT count as a math requirement for graduation. It does, however, count as an elective for graduation.
INTRODUCTION TO ALGEBRA - This course is designed for students who need more background before entering Algebra. Students will work extensively with the set of rational numbers; adding, subtracting, multiplying and dividing positive and negative numbers. Students will learn to solve many types of linear equations and inequalities in preparation for Algebra I-A. The student will learn how to use formulas, including those which involve geometric shapes. Students will learn applications by setting up and solving equations from word problems.
ALGEBRA I-A - (Prerequisite: "C" or better in Intro to Algebra or "B" or better in 8th grade General Math) This course permits the student to master the following basic topics of Algebra: signed numbers, absolute value, translation of phrases to math expressions, order of operations, solve equations, polynomials, FOIL and factoring, math properties, and applications.
ALGEBRA I-B - (Prerequisite: "C" or better in Algebra I-A or "B" or better in 8th grade Algebra) This course permits the student to master the following topics of Algebra : algebraic fractions, percent, mixture, and work problems, linear equations, slope, X/Y graphing, functions, direct and inverse variation, systems of equations, inequalities, radicals, quadratic equations, and basic trig functions.
GEOMETRY - (Prerequisite: "C" or better in Algebra I-B) Geometry is the study of inductive and deductive reasoning. This reasoning is applied to: angle relationship and measurement, perpendicular lines, parallel lines and planes, congruent triangles, similar polygons, right triangles, circles and spheres. This material is essential for students to advance in mathematics. If a "C" or better is not obtained in both quarters, the math department strongly recommends repeating Geometry in its entirety.
ALGEBRA II - (Prerequisite: "C" or better in Geometry) The main purpose of the course is to review and extend understandings of sets of numbers, open sentences in one variable or equations and inequalities in one and two variables, systems of linear open sentences, expressions, relations and functions, rational numbers and quadratic equations, relations and systems, irrational and complex numbers, variations, conic sections.
TRIGONOMETRY - (Prerequisite: "C" or better in Algebra II) This course is a basic trigonometry course covering the concepts of trigonometry functions, circular functions, inverse of circular functions, trigonometric identities, solving triangles using trigonometric identities, law of sines, and law of cosines. Also covered are vectors, problem solving with vectors, polar coordinates and complex numbers.
PRECALCULUS - (Prerequisite: "C" or better in Trigonometry) This course focuses on preparing students for Calculus. The main concept s covered are : linear equations and curve fitting, composite and power functions, polynomial and rational functions, exponential and logarithmic functions, vectors, systems of equations, sequences, induction, matrices, analytic geometry, and limits. vC++ COMPUTER PROGRAMMING - (Prerequisite: "C" or better in Algebra II and Computer Applications) Students will learn C++, the standard computer programming language of corporations. The course will utilize Internet Distance Education (IDE) to provide current technology applications. Students will use the Internet and the World Wide Web to take tests, transfer code, receive assignments and information, and communicate with other IDE participants and industry experts. vCALCULUS - (Prerequisite: "C" or better in Precalculus) This course is an extension of the math curriculum with emphasis on functions, rates of change, limits and velocity. Also covered are derivatives: polynomial, implicit, applications (maximum and minimum), product and quotient. Definite and indefinite integrals are also studied in depth during this course.
PROFICIENCY MATH - (Prerequisite: Math teacher recommendation) This course is available to students who need preparation to meet Colorado and Caņon City Schools Math Standards. Each student will be individually assessed and the curriculum tailored to specific needs. 1) Problem Solving - Students will be able to choose an efficient method to solve real world problems using given facts, estimation, and calculation skills. 2) Number Sense and Computation Skills - Students will be able to calculate (add, subtract, multiply, divide) with real numbers (positive and negative: integers, fractions, decimals). Solving ration, proportion, and present problems is included. 3) Technology - Students will be able to solve problems using ruler, meter/yard stick, protractor, compass, calculator, and computer. 4) Measurement Systems - Students will be able to use measurement systems (U.S. customary and metric) to solve problems involving: length, weight, capacity, temperature, and time. Techniques of algebra, geometry, and simple trigonometry are included. 5) Geometry - Students will be able to solve problems using congruent and similar figures, lines of symmetry, area, perimeter, and volume. Both 2- and 3-dimensional sketches are included. Students will be able to plot points and graph equations on the coordinate plane. 6) Mathematical Language and Symbolism - Students will be able to express mathematical ideas orally and in writing using symbolism, terminology, and math properties. They should be able to interpret, translate, and make valid decisions from written mathematical materials. 7) Algebraic Methods - Students will show competency in fundamental algebra skills: using transformations to solve equations and inequalities, using variable and equations to model real life situations, and applying appropriate formulas. 8) Statistics - Students will be able to demonstrate understanding of statistical methods by: using random sampling in data collection, making and testing predictions, solving application problems using combinations, and permutations. |