
PreAlgebra  1 Credit 
Prerequisite: Teacher recommendation 
Course Length: Year 
Grade 910 
Fees: None 
Students will improve their skills in basic math concepts including computation, working with fractions and decimals, working with signed numbers, and number sense. Additionally, students will be introduced to algebra, probability, and statistics. Students will be prepared for Algebra 1 following this course. This course is for students performing below grade level in Math. 

ALGEBRA 1 FOUNDATIONS  1 Credit 
Prerequisite: To be taken concurrently with Algebra 1, by teacher recommendation only. 
Course Length: Year 
Grade: 912 
Fees: None 
This course is designed to provide math support and basic skills necessary to help students succeed in Algebra 1. Students who are below grade level should take this course concurrently with Algebra 1. 

ALGEBRA 1  1 Credit 
Prerequisite: 8th grade Math or PreAlgebra and teacher recommendation. 
Course Length: Year 
Grade: 912 
Fees: None 
Algebra 1 is the study of algebraic symbolism, systems of equations, graphing, problem solving, and probability and statistics. The students will build upon their previous knowledge to further understand the characteristics and representations of various functions and relations, including firstdegree equations and inequalities, polynomials, exponential and radical expressions, and quadratic equations. 

CP ALGEBRA 1  1 Credit 
Prerequisite: 8th grade Math or PreAlgebra and teacher recommendation. 
Course Length: Year 
Grade: 912 
Fees: None 
This course will be taught at a faster pace and with more rigor than Algebra 1. Students will learn the fundamentals of algebraic manipulations including the real number system, sets, polynomials, factoring, linear and quadratic equations, systems, graphing, radicals, functions, exponential growth, probability and statistics. Problem solving will be emphasized. Any student planning on four years of mathematics at Grandview should strongly consider purchase of a graphing calculator. 

GEOMETRY  1 Credit 
Prerequisite: Algebra 1 or Algebra 1 Foundations and teacher recommendation. 
Course Length: Year 
Grade: 1012 
Geometry presents a thorough study of ideas and logical reasoning through the use of the axiomatic system. The course will include the topics of plane, solid, and coordinate geometry. Concepts studied will include lines, planes, angles, triangles, circles, polygons, area, surface area, volume, perimeter, and right triangle trigonometry. The maintenance of algebraic skills will be emphasized. 

CP GEOMETRY  1 Credit 
Prerequisite: CP Algebra 1 or Algebra 1 and teacher recommendation 
Course Length: Year 
Grade: 912 
Collegebound students are strongly encouraged to take this course. Students will experience Euclidean plane geometry through a balance of theory and application. The topics students will study include lines, planes, angles, triangles, circles, polygons, area, volume, perimeter, and trigonometry. The use of inductive and deductive reasoning throughout the course is designed to equip students with an ability to organize ideas and reason logically. 

HONORS GEOMETRY  1 Credit 
Prerequisite: Honors Algebra 1 with B average and teacher recommendation 
Course Length: Year 
Grade: 910 
Fees: None 
Students will study geometry topics at an advanced proficiency level. Students will spend considerable time developing both informal and formal proofs through inductive and deductive reasoning. All students will be expected to extend theoretical concepts. Due to the advanced nature of this class, grades will be weighted. 

ALGEBRA 2  1 Credit 
Prerequisite: CP Geometry or Geometry and teacher recommendation 
Course Length: Year 
Grade: 1112 
Fees: None 
Algebra 2 students study both real and complex numbers, as well as relations, functions and their operations. Students will work with linear, quadratic, and higherorder polynomial, radical, rational, absolute value, exponential/logarithmic functions, including graphing and transformations of graphs. The counting principle, probability, and statistics are also covered. 

CP ALGEBRA 2  1 Credit 
Prerequisite: CP Geometry and teacher recommendation 
Course Length: Year 
Grade: 1012 
Fees: None 
Collegebound students are strongly encouraged to take this course. Students will continue their study of algebra and the real number system through extensions into complex numbers, and various functions including linear, logarithmic, exponential, polynomial, rational and conics. A graphical approach will enable students to model realworld situations and develop equations that best represent those situations. Students will use graphing calculators extensively in this class. 

CE INTERMEDIATE ALGEBRA (CCA MATH 099)  1/2 Credit 
Prerequisite: Algebra 2 and teacher recommendation 
Course Length: Semester 
Grade: 12 
Fees: None 
This course will emphasize problem solving with further study of equations, slope, inequalities, systems of equations, rational expressions, rational exponents, radical expressions, graphing and applications. A graphing calculator or equivalent software may be utilized. This is a transciptable course meaning that it will take the place of a placement exam for college mathematics courses. This course will not earn college credit, however, students will be able to automatically place into a College Alegra course. 

COLLEGE ALGEBRA  1/2 Credit 
Prerequisite: CP Algebra 2 or higher, teacher recommendation, and either a qualifying ACT score (23 on the MATH section) or Accuplacer (85 on the Elementary Algebra exam) administed during junior year. 
Course Length: Semester 
Grade: 12 
Fees: None 
This course will cover advanced math topics necessary for college success in nonmath related majors. Topics include equations and inequalities, functions and their graphs, exponential and logarithmic functions, linear and nonlinear systems, and a selection of topics from among: graphing of the conic sections, introduction to sequences and series, permutations and combinations, and the thoery of equations. A graphing calculator will be used extensively in this class. This class is a dualcredit class offered through the Community College of Aurora. Students must qualify by either ACT (23 on the Mathematics section NOT overall score) or the Accuplacer (85 on the Elementary Algebra exam. Students must first pass the arithmetic exam in order to take the Elementary Algebra exam.). Note: This is a statewide guaranteed transfer course. 

HONORS ALGEBRA 2  1 Credit 
Prerequisite: Honors Geometry with B average and teacher recommendation 
Course Length: Year 
Grade: 911 
Fees: None 
Advanced math students will be challenged in this rigorous course. They will expand their knowledge of algebraic theory and extend algebraic applications. Students will be expected to study Algebra 2 topics in more depth and develop good mathematical models for complex situations. Students will use graphing calculators extensively in this class. Due to the advanced nature of this class, grades will be weighted. 

DISCRETE MATH  1/2 Credit 
Prerequisite: Algebra 2 
Course Length: Semester 
Grade: 12 
Fees: None 
This course is a survey of investigations of topics from modern mathematics. Major units include basic probability, social choice (voting systems, weighted voting systems fair division, and apportionment) and graph theory (Euler and Hamilton paths and circuits, shortest paths, optimum networks, and scheduling and conflict problems). Emphasis is on investigation, analysis, and communication. This course is intended for the collegebound student interested in pursuing nonmathematical studies. 

PROBABILITY AND STATISTICS  1/2 Credit 
Prerequisite: Algebra 2 
Course Length: Semester 
Grade: 12 
Fees: None 
This course is an introduction to elementary statistics. Students will be engaged in a variety of activities to allow them to discover concepts of statistics. They will construct and draw inferences from charts, tables and graphs, use curve fitting to make predictions, and apply measures of central tendency, variability and correlations. Sampling, as a common application of planned data collection, will be used to introduce the idea of random sampling and its implications for statistical inference. The TI84 Plus graphing calculator is required for this class. 

TRIGONOMETRY  1/2 Credit 
Prerequisite: CP Algebra 2 and teacher recommendation 
Course Length: Semester 
Grade: 10  12 
Fees: None 
Students in this course will study right traingle trigonometry, the law of sines, the law of cosines, the unit circle, inverse trig functions, trigonometric identities, techniques for solving trig equations as well as graphs of the trig functions. This course provides preprequisite background for higher matematics as well as applications in the physical sciences, engineering, and other technical areas. Students will use graphing calculators in this class. 

HONORS TRIGONOMETRY  1/2 Credit 
Prerequisite: Honors Algebra 2 
Course Length: Semester 
Grade: 911 
Fees: None 
Students will study trigonometric functions from analytical, graphical, and problemsolving perspectives including applications to the physical and biological sciences, engineering, and technology. Topics covered include right triangle trigonometry, the law of sines, the law of cosines, the unit circle, inverse trig functions, trigonometric identities, and techniques for solving trig equations. This course provides prerequisite background for precalculus and calculus classes. It is strongly recommended for collegecapable math students. Students will use graphing calculators in this class. 

PRECALCULUS  1 Credit 
Prerequisite: CP Algebra 2 and Trigonometry (concurrent enrollment during first semester) with grade of C or better and teacher recommendation. 
Course Length: Year 
Grade: 1112 
Students planning on college studies in mathematics, science, engineering, business, architecture, etc. should consider taking this class. In PreCalculus, students prepare for calculus by studying the characteristics and behaviors of various mathematical functions, polar and parametric equations, vectors, inequalities, series and sequences, limits, derivatives, and, time allotting, concepts of probability and statistics, and mathematical induction. Students will use graphing calculators extensively in this class. 

HONORS PRECALCULUS  1 Credit 
Prerequisite: Honors Algebra 1 and Honors Trigonometry (or concurrent enrollment during first semester), with grade of B or better and teacher recommendation. 
Course Length: Year 
Grade: 1012 
Fees: None 
Students with strong mathematical ability who are planning on college studies in mathematics, the sciences, engineering, or business should consider taking this rigorous math course. In this class, students will prepare themselves for calculus by studying function characteristics and behavior, polar and parametric equations, vectors, inequalities, series and sequences, limits, derivatives, and, time allotting, concepts of probability and statistics, and mathematical induction. Students will use graphing calculators extensively in this class. The next recommended course is Advanced Placement Calculus. Due to the advanced nature of this class, grades will be weighted. 

CP PRECALCULUS/TRIGONOMETRY  1 Credit 
Prerequisite: CP Algebra 2 
Course Length: Year 
Grade: 12 
Fees: None 
This course is designed to prepare seniors to take Calculus in a college setting. Students will study behavior of a variety functions including: polynomial, exponential, logarithmic, logistics, parametric and trigonometric. Students will be introduced to sequences, series and limits. The graphing calculator will be used extensively. 

ADVANCED PLACEMENT CALCULUS AB  1 Credit 
Prerequisite: PreCalculus with grade of B or better and teacher recommendation. 
Course Length: Year 
Grade: 1112 
Fees: See AP Section 
Students will learn both the theoretical foundations and proper techniques of both differential and integral calculus and apply them extensively in problemsolving contexts. The course follows the College Board AP Calculus AB syllabus and prepares students for the AP examination to be taken in May. Students considering further study in math and science are strongly encouraged to take one of our two calculus classes. Graphing calculators are required for this class. Due to the advanced nature of this class, grades will be weighted. 

ADVANCED PLACEMENT CALCULUS BC  1 Credit 
Prerequisite: Honors PreCalculus or PreCalculus with grade of B or better and teacher recommendation 
Course Length: Year 
Grade: 1112 
Fees: See AP Section 
This is the more rigorous of the two calculus courses we offer. Students will learn both the theoretical foundations and proper techniques of both differential and integral calculus and apply them extensively in problemsolving contexts. The course follows the College Board AP Calculus BC syllabus and prepares students for the AP examination to be taken in May. Students considering further study in math and science are strongly encouraged to take one of our two calculus classes. Graphing calculators are required for this class. Due to the advanced nature of this class, grades will be weighted. 

Advanced Placement Statistics  1 Credit 
Prerequisite: Algebra 2 with grade of B or better and teacher recommendation. 
Course Length: Year 
Grade: 1112 
Fees: See AP Section 
This collegelevel statistics course is designed to provide students with the major concepts and tools for collecting and analyzing data and drawing good conclusions from it. Students are exposed to four major themes: exploration of data, planning and carrying out a study, statistical modeling, and statistical inference. Students who successfully complete the course and who score above a 3 on the AP examination may receive college credit. The TI84 Plus graphing calculator is required for this class. Due to the advanced nature of this class, grades will be weighted.
*Credit through the CC of Aurora or the University of Colorado at Denver is available for students who qualify this course (fee required). 

CALCULUS 3/DIFFERENTIAL EQUATIONS  1 Credit 
Prerequisite: Advanced Placement Calculus BC/teacher recommendation 
Course Length: Year 
Grade: 1112 
Fees: See AP Section and additional required fee if taking the the course for university credit. (Fee determined by the University of Colorado at Denver) 
During the first semester students will study the calculus of 3 dimensions including vectors in 3space, vectorvalued functions, functions of several variables, multiple integration, and vector analysis. Second semester topics include solving exact firstorder differential equations, first order linear differential equations, secondorder homogeneous linear equations, secondorder nonhomogeneous linear equations, and series solutions of differential equations. Students who successfully complete this class receive undergraduate credit from The University of Colorado at Denver. Students will be required to purchase their textbooks and pay for processing of the university credit. 

COLLEGE ALGEBRA  ONLINE (Dual credit with the University of Colorado at Denver)  1/2 Credit (mathematics) plus 3 college credits 
Prerequisite: Counselor Signature 
Course Length: Semester 
Grade: 1112 
Fees: 
Topics in algebra designed for students who intend to take calculus in college. Functions, domains, ranges, graphs, data scatter polots and curve fitting, solving equations and systems of equations, polynomial functions, rational functions, and selected other topics. Graphic calculators and/or computer algebra systems are used extensively. Applications are emphasized. Students will be responsible for paying tuition for university credit. 

COLLEGE TRIGONOMETRY  ONLINE (Dual credit with the University of Colorado at Denver)  1/2 Credit (Mathematics) plus 3 college credits 
Prerequisite: Counselor Signature 
Course Length: Semester 
Grade: 1112 
Fees: 