Mathematics
RECOMMENDED MATH COURSE SEQUENCING
MATHEMATICS
Students will be expected to use a graphing calculator to graph and study functions as well as explore other features of the graphing calculator. While TI-84 calculators will be available for students’ use during class, it is strongly recommended that students purchase their own graphing calculator for personal use.
40400X PRE-ALGEBRA
(Grade 9,10) (1.0 Credit)
(Prerequisite: Teacher recommendation or placement test)
Pre Algebra further prepares students for the study of high school mathematics. This course provides students an opportunity to practice and master mathematical concepts necessary for success in Algebra 1 and to connect math to everyday applications. Topics covered include basic operations of real numbers; working with variables, formulas, linear equations, inequalities; recognizing functions and relations; and exploring geometry and statistics. Students will develop problem-solving strategies while applying and strengthening skills. Students will learn to utilize the graphing calculator in appropriate situations. Individually or in groups, students will communicate mathematically and solve problems with appropriate technology. Students will demonstrate their knowledge and understanding through cooperative learning activities, projects, class discussions, homework, IXL, Study Island, and assessments involving problem-solving skills. Students will take a final assessment at the end of the course.
*40401X COLLEGE PREP ALGEBRA 1
(Grade 9,10) (1.0 Credit)
(Prerequisite: Student meets WCSD Algebra 1 readiness criteria)
Students will strengthen their existing math skills while broadening their understanding of algebraic concepts. Concepts covered include solving and graphing linear/quadratic equations, solving and graphing inequalities, systems of equations, rules of exponents, factoring polynomials, operations involving radical and rational expressions, and quadratic equations. Individually or in groups, students will discuss and solve problems with appropriate technology. Students will demonstrate their knowledge and understanding through cooperative learning activities, projects, class discussions, homework, Study Island, and assessments involving problem-solving skills. The Algebra 1 Keystone Exam will be administered at the end of the course. Upon completion of the Algebra 1 Keystone Exam, students will continue to master Algebra 1 concepts and begin preparation for Algebra 2.
40422B CORE GEOMETRY
(Grade 10,11,12) (1.0 Credit)
(Prerequisite: Algebra 1 and teacher recommendation)
This geometry course will emphasize a hands-on approach to concepts using models, activities, and dynamic geometric software. Students will understand and demonstrate concepts of perpendicular and parallel lines and planes, congruent and similar polygons, right triangles, circles and arcs, area and volume of plane and solid figures, and deductive and inductive reasoning. Students will demonstrate their achievement through homework, classwork, tests, quizzes and projects. Students will take the Core Geometry final exam at the end of the course.
*40421X COLLEGE PREP GEOMETRY
(Grade 9,10,11,12) (1.0 Credit)
(Prerequisite: CP Algebra 1 - Successful completion of Algebra 1 and teacher recommendation are required for students desiring to double up with CP Geometry and CP Algebra 2. Students who are not doubling up in Math should take CP Geometry before CP Algebra 2.)
CP Geometry students will learn geometric terms and will use both inductive and deductive reasoning in doing the following: solving lengths of segments and measures of angles, as well as completing direct and indirect proofs. Students will use logic, ratios, and Algebra 1 skills to solve multi-step geometric problems. In addition, students will understand proofs, logic statements, perpendicular and parallel lines and planes, congruent and similar polygons, right triangles, trigonometric ratios, circles and arcs, area, volumes of plane and solid figures, transformations, and compound and conditional probabilities. Assessments will include homework, classwork, quizzes, tests, and cooperative learning activities requiring problem-solving skills. Students will take the CP Geometry final exam at the end of the course.
*40423H HONORS GEOMETRY
(Grade 9,10,11,12) (1.0 Credit)
(Prerequisite: CP Algebra 1, and teacher recommendation. Students who are not doubling up with Honors Geometry and Honors Algebra 2 should take Honors Geometry first.)
Students will learn basic and advanced geometric concepts and apply them to real world problems. They will understand and use inductive and deductive reasoning to discover mathematical relationships. They will understand and recognize geometric shapes, ratio and proportion, similar triangles, basic trigonometric functions, and the properties of circles. Using individual and small group instruction, students will analyze the logic and necessary procedures to complete geometric proofs of theorems. Achievement will be demonstrated through the use of quizzes, tests, and cooperative learning activities. Students will take the Honors Geometry final exam at the end of the course.
*40410X COLLEGE PREP ALGEBRA 2
(Grade 9,10,11,12) (1.0 Credit)
(Prerequisite: CP Algebra 1 and teacher recommendation - Successful completion of Algebra 1 and teacher recommendation are required for students desiring to double up with CP Geometry and CP Algebra 2. Students who are not doubling up in Math should take CP Geometry before CP Algebra 2.)
Students will learn the set of complex numbers and its use in expressions, equations, functions, and graphs. They will understand how to simplify expressions and how to graph linear, quadratic, exponential, polynomial, rational, and radical equations. Also, they will learn how to represent these solutions in graphic form and practice general procedures applicable to problem situations. Working individually with a partner or in small groups, students will demonstrate their knowledge by applying appropriate skills. In addition, students will hone their graphing calculator skills to solve more complex problems. Assessments will include activities, projects, oral presentations, quizzes, and tests requiring problem learning skills. Students will take the CP Algebra 2 final exam at the end of the course.
*40411H HONORS ALGEBRA 2
(Grade 9,10,11,12) (1.0 Credit)
(Prerequisite: CP Algebra 1 and teacher recommendation. Students who are not doubling up with Honors Geometry and Honors Algebra 2 should take Honors Geometry first.)
Students will learn and understand the concepts of relations, functions, and graphs of linear and quadratic equations and how to apply these concepts to the real world. They will understand the many forms of factoring and how it is related to solving polynomial equations. Students will know and understand the conic sections in addition to exponential and logarithmic functions. Individually or in small groups, students will utilize the graphing calculator to analyze, discuss, and solve problems. Achievement will be demonstrated through tests, quizzes, homework assignments, graphing calculator exercises, activity sheets, projects, and performance assessments. Students will take the Honors Algebra 2 final exam at the end of the course.
40426B MATH FOR MODERN LIVING
(Grade 11,12) (1.0 Credit)
(Prerequisite: Algebra 1, Core Geometry and teacher recommendation)
This course is designed for the career-bound student seeking a fourth math credit. By beginning with basic algebra skills and moving through a currently relevant curriculum, this course explores the various mathematical concepts needed to be successful in today’s work environment. Topics include data analysis for modern living, being a smart statistician, understanding financial mathematics, using discrete math in real life situations, and applying geometric properties to solve problems. This final exam is a final project which covers all topics.
40462B CONSUMER MATH
(Grade 12) (1.0 Credit)
(Prerequisite: Teacher recommendation)
Students will learn how to manage money and solve personal finance problems. Students will understand mathematical operations and will use those skills to file income tax forms, apply for loans, reconcile checking accounts, and calculate gross and net pay. Moreover, they will analyze investments, insurance, and credit cards. Computer resources will be used to support and enhance student learning. Assessments will include the development of a working budget, projects, homework, class discussions, tests, and quizzes. Students will take the Consumer Math final exam at the end of the course.
40427X PRINCIPLES OF MATHEMATICS
(Grade 11,12) (1.0 Credit)
(Prerequisite: CP or Core level Geometry and Algebra 2, and teacher recommendation)
Principles of Mathematics is designed to meet the needs of students who need reinforcement with previous topics in algebra and geometry before they enter post-secondary studies in a non-math/science related field. These include number theory, linear and quadratic equations, graphs and functions, topics in measurement and geometry, statistics and data analysis, probability, and set theory. Students will take the Principles of Mathematics final exam at the end of the course.
*40431A COLLEGE PREP TRIGONOMETRY/ALGEBRA 3
(Grade 10,11,12) (1.0 Credit)
(Prerequisite: Course CP or Honors level Geometry and Algebra 2, and teacher recommendation)
Students will learn about the nature of graphs, polynomial functions, conic sections, logarithms, exponential functions, graphs and inverses of trigonometric functions, solutions to right and oblique triangles, and trigonometric identities and equations. These topics are explored by students working independently, with a partner, and in small groups. Achievement is demonstrated through tests, quizzes, activity sheets, projects, and oral demonstration of homework problems. Students will take the CP Trigonometry/Algebra 3 final exam at the end of the course.
*40432H HONORS TRIGONOMETRY/ALGEBRA 3
(Grade 10,11,12) (1.0 Credit)
(Prerequisite: Honors Geometry and Honors Algebra 2, and teacher recommendation)
Students will learn about relations, functions, trigonometry, and graphing. Furthermore, they will know how to graph polynomial, exponential, logarithmic, and trigonometric functions manually and by using the appropriate technology. Students will understand how to interpret information that is expressed as a function or as a graph. These skills and this knowledge will be acquired by students working independently, with a partner, and in small groups. Achievement will be demonstrated through tests, quizzes, cooperative learning activities, oral demonstration of homework problems, and projects. Students will take the Honors Trigonometry/Algebra 3 final exam at the end of the course.
*40441X CALCULUS
(Grade 11,12) (1.0 Credit)
(Prerequisite: CP or Honors Trigonometry/Algebra 3, and teacher recommendation)
This calculus course is for the advanced student in mathematics. Students will review the basic concepts relating to functions and graphs as needed throughout the course and will learn rules for differentiation, antidifferentiation, calculating limits, and determining continuity. Individually or in small groups, students will use appropriate technology to analyze and solve problems involving limits, continuity, optimization and displacement, velocity and acceleration. Achievement will be demonstrated through completion of graphing calculator activities, tests, quizzes, and homework assignments requiring problem-solving skills. Students will take the Calculus final exam at the end of the course.
*40451H ADVANCED PLACEMENT CALCULUS AB
(Grade 11,12) (1.0 Credit)
(Prerequisite: Honors Trigonometry/Algebra 3 or Calculus, and teacher recommendation)
Advanced Placement Calculus AB is for the student wishing to gain credit for one semester of college calculus by taking the Calculus AP examination which is given in May. Students will learn how to differentiate, integrate, calculate limits, and determine the continuity of functions. They will apply these skills to in-depth theoretical and real-life problems. Individually or in small groups, students will use appropriate technology to analyze and solve problems involving limits, optimization, differentials, related rates, curve sketching, separable differential equations, exponential growth and decay, average value, area between 2 curves, volumes of solids of revolution, and volumes of solids with known cross-sections. Achievement will be demonstrated through the completion of in-depth rigorous tests, quizzes, and homework assignments, which prepare the student for the AP Exam. Students will have the opportunity to register to take the AP Exam in May.
*40452H ADVANCED PLACEMENT CALCULUS BC
(Grade 12) (1.0 Credit)
(Prerequisite: Successful completion of Calculus AP, Level AB and teacher recommendation)
This course is intended for students with an exceptional knowledge of analytic geometry, elementary functions, algebra, geometry and trigonometry. This course is geared toward the advanced mathematics student who will encounter higher mathematics in college in specialized fields such as engineering, science and/or mathematics. Topics to be studied include differentiation and applications, integration and applications, transcendental functions, methods of integration, polar coordinates, vectors and equations, infinite series and differential equations. This course requires frequent use of graphing calculators. It is strongly recommended that students have their own graphing calculator. Completion of this course will prepare the student for the Advanced Placement Calculus BC test in May. Students will have the opportunity to register to take the AP Exam in May.
*40461E COLLEGE PREP PROBABILITY AND STATISTICS
(Grade 11,12) (1.0 Credit)
(Prerequisite: Students must have successfully completed CP or Honors Algebra 2, and teacher recommendation)
Students will apply measures of central tendency to experiments, make predictions, determine and justify validity reliability, use sampling techniques to draw inferences about populations, compare odds and probability, construct valid arguments, and use logic truth tables. Students will use various technological aids to enhance student learning. Assessments will include projects, written and oral reports, tests, quizzes, and homework. Students will take the CP Probability and Statistics final exam at the end of the course.
*40461D PROBABILITY AND STATISTICS DUAL ENROLLMENT - HONORS
(Grade 11,12) (1.0 Credit)
(Prerequisite: Teacher recommendation, sufficient score on LCCC placement test, and nominal per credit cost)
This course is for the student seeking college-level credit in Probability and Statistics. Topics include the following: tabulation of data, measurements of central tendency and dispersion, sampling, types of distributions, probability, hypothesis testing and elementary aspects of correlation. Assessments will include quizzes, exams, practice exercises, case studies, individual and group projects, and a cumulative final exam. A graphing calculator is required.
*40461A ADVANCED PLACEMENT STATISTICS
(Grade 10,11,12) (1.0 Credit)
(Prerequisite: Completion of Honors Algebra 2 and completion or concurrent enrollment in Trigonometry/Algebra 3 and teacher recommendation)
Advanced Placement Statistics is equivalent to an introductory college level statistics course. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four main conceptual themes: exploring data, planning a study, probability as related to distributions, and statistical inference. This course is an excellent option for students with exceptional problem solving skills. Students will have the opportunity to register to take the AP Exam in May.