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Phone: 720.886.6500
Fax: 720.886.6698
Attendance: A-L 720.886.6801 M-Z 720.886.6802

20500 E Arapahoe Rd
Aurora, CO 80016
Mathematics Courses
​Mathematics Courses ​Mathematics Faculty
Grandview students are required to take 3 credits of mathematics for graduation. In light of increasing expectations for acceptance to in-state colleges and with our focus on “Commitment to Core” at Grandview High School, all students are strongly encouraged to take four years of mathematics. Course offerings in mathematics provide ample opportunity for students to meet this expectation and prepare for college or other post-high school options.
 
The math program at Grandview is divided into three sequences, each traditional in nature. See the department flowchart for more specifics about the courses offered in each of these sequences. It is our goal to have all students complete Algebra 1 by the end of their freshman year. Students interested in mathematics, engineering, and science-related careers should consider taking courses in the rigorous Honors Sequence that leads to AP Calculus BC. Students desiring to major in mathematics at the university level should also consider AP Statistics.
 
Graphing calculators are powerful learning tools in both math and science classrooms and are used extensively throughout the math and science curric­ula at Grandview. We believe the purchase of a graphing calculator is an investment in a solid high school education. Grandview math and science teach­ers are proficient using the TI-84 series of calculators for class demonstrations and activities. See your teacher for purchase information.
Pre-Algebra - 1 Credit
Prerequisite: Teacher recommendation
​Course Length: Year
​Grade 9-10
​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: 9-12
​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 Pre-Algebra and teacher recommendation.​
​Course Length: Year
​Grade: 9-12
​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 first-degree equations and inequalities, polynomials, exponential and radical expressions, and quadratic equations.
CP ALGEBRA 1 - 1 Credit
​Prerequisite: 8th grade Math or Pre-Algebra and teacher recommendation.
​Course Length: Year
​Grade: 9-12
​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: 10-12
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: 9-12
College-bound 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: 9-10
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: 11-12
​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 higher-order 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: 10-12
​Fees: None
College-bound 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 real-world 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 non-math related majors. Topics include equations and inequalities, functions and their graphs, exponential and logarithmic functions, linear and non-linear 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 dual-credit 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: 9-11
​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 college-bound student interested in pursuing non-mathematical 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 TI-84 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: 9-11
​Fees: None
Students will study trigonometric functions from analytical, graphical, and problem-solving 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 pre-calculus and calculus classes. It is strongly recommended for college-capable math students. Students will use graphing calculators in this class.
PRE-CALCULUS - 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: 11-12
Students planning on college studies in mathematics, science, engineering, business, architecture, etc. should consider taking this class. In Pre-Calculus, 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 PRE-CALCULUS - 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: 10-12
​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 PRE-CALCULUS/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: Pre-Calculus with grade of B or better and teacher recommendation.
​Course Length: Year
​Grade: 11-12
​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 problem-solving 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 Pre-Calculus or Pre-Calculus with
grade of B or better and teacher recommendation
​Course Length: Year
​Grade: 11-12
​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 problem-solving 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: 11-12
​Fees: See AP Section
This college-level 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 TI-84 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: 11-12
​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 3-space, vector-valued functions, functions of sever­al variables, multiple integration, and vector analysis. Second semester topics include solving exact first-order differential equations, first order linear differential equations, second-order homogeneous linear equations, second-order 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: 11-12
​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: 11-12
​Fees:
Topics in trigonometry, analytic geometry, and elementary functions designed for students who intend to take calculus in college. Angles and triogonmetry functions of acute angles, analytic trigonometry, fundamen­tal trigonomertric functions and identities including hyperbolic trigonom­etry, parametric equations, and olar coordinate system. Graphic calcula­tors and/or computer algebra systems are used extensively. Applications are emphasized. Students will be responsible for paying tuition for uni­versity credit.
 
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Cherry Creek School District No. 5 does not discriminate on the basis of race, color, national origin, sex, age or disability in admission to its programs, services or activities, in access to them, in treatment of individuals, or in any aspect of their operations. The lack of English language skills shall not be a barrier to admission or participation in the district’s activities and programs. The Cherry Creek School District No. 5 also does not discriminate in its hiring or employment practices. This notice is provided as required by Title VI of the Civil Rights Act of 1964, Section 504 of the Rehabilitation Act of 1973, Title IX of the Education Amendments of 1972, the Age Discrimination Act of 1975, and the Americans with Disabilities Act of 1990. Questions, complaints, or requests for additional information regarding these laws may be forwarded to the designated compliance officer: District Compliance Officer or directly to the U.S. Department of Education, Office for Civil Rights, Region VIII, Federal Office Building 1244 North Speer Blvd., Suite #310, Denver, CO 80204.

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