Mathematics Courses
MATHEMATICS CLASSES
*NCAA* = DENOTES NCAA APPROVED COURSE
IBMYP ALGEBRA 1,2 *NCAA*
Course Length: 2 Semesters
Grade Level: 9
Credit per Semester: 1.0 (Math)
Prerequisite: None
IB MYP Algebra 1, 2 will prepare students for success in college, in their careers, and daily lives in the 21st century by developing their ability to explore and solve real-world math problems, think critically, work cooperatively, and communicate ideas clearly. The course encourages and supports different learning styles by using visual and hands- on approaches that could include computer and graphing calculator technologies, direct instruction, exploratory activities, projects, and group work.
IBMYP ALGEBRA 1,2 H *NCAA*
Course Length: 2 Semesters
Grade Level: 9
Credit per Semester: 1.0 (Math)
Prerequisite: Teacher Recommendation
This course extends the program offered by the IB Middle Years Program and extends the basic Algebra 1,2 course to the honors level. The intent of both extensions is to better meet the needs of students who wish to accelerate learning but who have not had sufficient opportunity to master (at an honors level) fundamental concepts and skills of introductory algebra necessary to successfully study geometry at an honors level.
IBMYP INTERMEDIATE ALG-GEOM 1,2 H *NCAA*
Course Length: 2 Semesters
Grade Level: 9,10
Credit per Semester: 1.0 (Math)
Prerequisite: A/B in IBMYP Algebra 1,2 H or Teacher Recommendation
The course is organized around the concept of function and techniques of mathematical analysis to identify patterns and to create and use functions that model real-world data. The course focuses particularly on linear functions; exponential and quadratic functions are introduced. Topics of number sense and computation; algebra and problem solving; probability and statistics; geometry; and measurement are interwoven throughout the course.
IBMYP ADVANCED ALGEBRA-GEOMETRY 1,2 H *NCAA*
Course Length: 2 Semesters
Grade Level: 9,10
Credit per Semester: 1.0 (Math)
Prerequisite: A/B in IBMYP Intermediate Algebra-Geometry 1,2 H or teacher recommendation
This honors course is intended to prepare students to enter the most rigorous IB Math courses, Math Applications HL and Math Analysis HL. Topics discussed include measurement and descriptive statistics, variations, linear and quadratic equations, and polynomials of higher degree, exponential and logarithmic functions, series and sequences, introduction to trigonometry, functions and inverse functions, and transformations. This course places particular emphasis on strengthening the students' algebra and graphing skills and requires significant application of the topics discussed.
Graphing calculators are required for this course.
IBMYP INTEGRATED MATH 1,2 *NCAA*
Course Length: 2 Semesters
Grade Level: 10-12
Credit per Semester: 1.0 (Math)
Prerequisite: Algebra 1,2
This course is intended as a “bridge course” for students who have passed first-year algebra and who need additional algebraic preparation before enrolling in second-year algebra. This course reviews and extends students’ prior learning in topics that include: linear and quadratic functions, equations, inequalities and systems to develop basic concepts of higher-order polynomials; exponential functions and equations to develop math models; radicals and rational exponents to develop broader concepts of algebraic equivalences, functions and equations; proportional reasoning to develop geometric concepts of congruence, similarity and right-triangle trigonometric ratios; circle geometry and the Pythagorean Theorem to develop the equation of a circle and basic concepts of trigonometric functions; reasoning with probability and statistics to develop making and justifying data-based references. In this course, particular emphasis will be placed on further developing students’ skills in reading, interpreting and solving math problems given in rich contexts; deepening students’ understanding of connections between algebraic and graphical representations of functions and developing students understanding of connections between algebraic and geometric representations.
ALGEBRA 3,4 *NCAA*
Course Length: 2 Semesters
Grade Level: 10-12
Credit per Semester: 1.0 (Math)
Prerequisite: Teacher Recommendation
Algebra 3,4 is based on the Colorado Academic Standards for Mathematical Content and Practices and is aligned with the expectations of the SAT college readiness assessment. Students’ success in this course depends greatly on their mastery of Algebra 1, 2. Topics in this course include the algebraic, numeric and graphical study of functions and systems of functions (polynomial, rational, radical, exponential, logarithmic and trigonometric), transformations of functions, multi-step contextual problem solving and modeling with functions, trigonometric values in the unit circle, complex numbers, probability of compound events (independence and conditional probability), and statistical analysis and decision-making including use of the normal distribution. Graphing technology is required for this course.
FUNCTIONS/STATISTICS/TRIGONOMETRY 1,2 *NCAA*
Course Length: 2 Semesters
Grade Level: 12
Credit per Semester: 1.0 (Math)
Prerequisite: A/B in Algebra 3, 4
Objectives of this course are to review and reinforce algebraic concepts and to extend these concepts by an in- depth study of functions. Trigonometry is covered both from the functional concept and from the practical viewpoint. The student is introduced to circular functions, identities, graphs of circular functions, inverse functions, solutions of triangles including the laws of sines and cosines, and conic sections. Graphing calculators are strongly recommended for this course.
CONSUMER MATH 1,2
Course Length: 2 Semesters
Grade Level: 9-12
Credit per Semester: 1.0 (Math)
This course is designed to meet the needs of a young adult in the realm of consumer mathematics. Major topics include budgeting, housing, banking, income tax, insurance, credit, and investments. The course is divided into two non- sequential semesters, so students may take either one or both. This course will not satisfy college entrance requirements (CCHE). Calculators are recommended for this course
IB MATHEMATICS APPLICATIONS AND INTERPRETATION STANDARD LEVEL 1,2,3,4 *NCAA*
IB assessments (internal and external) are a requirement for this course.
Course Length: 4 Semesters
Grade Level: 11,12
Credit per Semester: 1.0 (Math)
Prerequisite: A/B in IBMYP Integrated Math
Mathematics Applications and Interpretation SL is a course designed for students who wish to gain a good knowledge of mathematics, but with an emphasis on the applied nature of the subject. They may have found more traditional mathematics courses a challenge and it will appeal to students who enjoy the practical application of mathematics to real life situations. This course is suitable for students who may go on to further study in subjects that utilize mathematics in this way such as biology, the human sciences and business.
IB MATHEMATICS APPLICATIONS AND INTERPRETATION HIGHER LEVEL 1,2,3,4. *NCAA*
IB assessments (internal and external) are a requirement for this course.
Course Length: 4 Semesters
Grade Level: 11,12
Credit per Semester: 1.0 (Math)
Prerequisite: A in IBMYP Algebra/Geometry Honors and Teacher Recommendation required
Mathematics Applications and Interpretation HL is designed for students who wish to gain an in-depth knowledge of mathematics, but with an emphasis on the applied nature of the subject. It will appeal to students who enjoy the practical application of mathematics to real life situations. This course is suitable for students who may go on to further study in subjects that utilize mathematics in this way such as biology, the human sciences and business.
IB MATHEMATICS ANALYSIS AND APPROACHES STANDARD LEVEL 1,2,3,4 *NCAA*
IB assessments (internal and external) are a requirement for this course.
Course Length: 2 Semesters
Grade Level: 11,12
Credit per Semester: 1.0 (Math)
IBMYP Advanced Algebra/Geometry Honors and Teacher Recommendation required.
Mathematics Analysis and Approaches SL is a course designed for students who wish to study a good level of mathematics, but not at a higher level. It will appeal to students who are interested in exploring real and abstract applications of mathematical concepts. They will enjoy problem solving and generalization. This course is suitable for students who may go on to further study in subjects that have a mathematical background, for example economics, geography and chemistry.
IB MATHEMATICS ANALYSIS AND APPROACHES HIGHER LEVEL 1,2,3,4. *NCAA*
IB assessments (internal and external) are a requirement for this course.
Course Length: 2 Semesters
Grade Level: 11,12
Credit per Semester: 1.0 (Math)
IBMYP Advanced Algebra/Geometry Honors and Teacher Recommendation required
Mathematics Analysis and Approaches HL is a course designed for students who wish to study mathematics in- depth and gain a formal understanding of the subject. It will appeal to students who are interested in exploring real and abstract applications of mathematical concepts. They will enjoy problem solving and generalisation. This course is suitable for students who may go on to further study in subjects that have a significant level of mathematics content, for example mathematics itself, engineering, physical sciences or economics.