Math Department
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Math Courses
ALGEBRA (with Investigations) 1, 2
Course Length: 2 Semesters
Grade: 9, 10, 11, 12
Credit per Semester: 1.0
Prerequisite: 8th grade math
(Math requirement or Elective)
INTERACTIVE MATHEMATICS PROGRAM 1, 2and 1, 2 HONORS**
Course Length: 2 Semesters
Grade: 9, 10, 11, 12
Credit per Semester: 1.0
Prerequisite: 8th grade math
(Math requirement or Elective)
The IMP 1,2 Project curriculum is part of a four year integrated, problem-centered mathematics curriculum designed to meet the needs of all students. Algebra, Geometry, Trigonometry, Probability and Statistics are used together in a problem solving process emphasizing logical analysis, inference, and deduction rather than drill-skill memorization. GRAPHING CALCULATORS ARE REQUIRED FOR THIS COURSE.
*See page 8 regarding recommendations for taking honors level classes.
GEOMETRY (with Investigations) 1, 2
Course Length: 2 Semesters
Grade: 10, 11, 12
Credit per Semester: 1.0
Prerequisite: Algebra 1, 2
(Math requirement or Elective)
This course introduces the student to the process of logical reasoning through the use of inductive and deductive reasoning in geometry. (Including transformational and coordinate geometry.) Topics include geometric vocabulary and theorems, measurement, angles, lines, planes, polygons, circles, probability and statistics, proportional reasoning, and right triangle trigonometry. It will provide students with the basic concepts involving geometric figures and emphasize the numerical relationships among them. This course aligns to the latest recommendations of the National Teachers of Mathematics Standards. CALCULATORS ARE REQUIRED FOR THIS COURSE.
GEOMETRY 1, 2 (with Investigations) HONORS
Course Length: 2 Semesters
Grade: 9, 10, 11, 12
Credit per Semester: 1.0 Honors
Prerequisite: Algebra 1, 2
(Math requirement or Elective)
Geometry conforms to the latest recommendations of the National Council of Teachers of Mathematics (NTCM standards). It follows the approach of making mathematics relevant by using math skills in a problem
solving environment. This course is a formal study of the geometric properties of the Euclidean plane and selected topics in 3-dimension space. Students use calculators, computers, and manipulatives to study the property of shapes and forms. They will use inductive and deductive reasoning and transformational and coordinate geometry in a formal way to study polygons and polyhedral and their algebraic descriptions. There may be additional work required to enrich the geometry topics. *See page 8 regarding recommendations for taking honors level classes.
CALCULATORS ARE REQUIRED FOR THIS COURSE.
INTERACTIVE MATHEMATICS PROGRAM 3, 4 and 3, 4 HONORS**
Course Length: 2 Semesters
Grade: 9, 10, 11, 12
Credit per Semester: 1.0
Prerequisite: IMP 1, 2; Algebra 1, 2 with
(Math Requirement Or Elective)
Teacher recommendation
The IMP 3, 4 Project curriculum is part of a four year integrated, problem-centered mathematics curriculum designed to meet the needs of all students. Algebra, Geometry, Trigonometry, Probability and Statistics are used together in a problem solving process emphasizing logical analysis, inference, and deduction rather than drill-skill memorization. GRAPHING CALCULATORS ARE REQUIRED FOR THIS COURSE.
*See page 8 regarding recommendations for taking honors level classes. **
**STUDENTS, TAKING THIS CLASS FOR HONORS CREDIT, WILL BE REQUIRED TO PARTICIPATE IN AT LEAST FIVE OF SIX COLORADO MATHEMATICS LEAGUE EXAMINATIONS. THESE ARE HELD BEFORE SCHOOL THROUGHOUT THE YEAR.
***Students must receive IMP instructor approval for honors credit.
ALGEBRA 3,4
Course Length: 2 Semesters
Grade: 10, 11, 12
Credit per Semester: 1.0
Prerequisite: Algebra 1, 2 and Geometry 1, 2
(Math requirement or Elective)
Algebra 3,4 conforms to the latest recommendations of the National Council of Teachers of Mathematics (NTCM standards). It follows the approach of making mathematics relevant by using math skills in a problem solving environment. Success in this course depends in a large part on success in Algebra 1,2. Many applications will be offered. All of the concepts of Algebra 1,2 will be reinforced through mathematical theory and an application of mathematics in new situations. The concepts include open sentences in one, two, and three variables and factoring of polynomials, matrices, complex numbers, series and sequences, probability, statistics and conic sections. Students are required to have a calculator for home and school use.
ALGEBRA 3, 4 HONORS
Course Length: 2 Semesters
Grade: 10, 11, 12
Credit per Semester: 1.0 Honors
Prerequisite: Algebra 1, 2; Geometry 1, 2;
(Math requirement or Elective)
Teacher recommendation
Algebra 3,4 conforms to the latest recommendations of the National Council of Teachers of Mathematics (NTCM standards). It follows the approach of making mathematics relevant by using math skills in a problem solving environment. Students who are planning to take Math Analysis Honors or AP Calculus should take this class. The concepts developed in Algebra 1, 2 are reviewed, strengthened, and enriched. A special project is required. The following concepts are included: Complex number systems, graphing, relations and functions, systems of equations,
polynomial functions, determinants, logarithmic and exponential series and sequences, functions, analytic geometry, conic sections, matrices and probability. A student planning a career in mathematics or math related fields should seriously consider taking this course. *See page 8 regarding recommendations for taking honors level classes.
GRAPHING CALCULATORS ARE REQUIRED FOR THIS COURSE.
**STUDENTS WILL BE REQUIRED TO PARTICIPATE IN AT LEAST FIVE OF SIX COLORADO MATHEMATICS LEAGUE EXAMINATIONS. THESE ARE HELD BEFORE SCHOOL THROUGHOUT THE YEAR.
INTERACTIVE MATHEMATICS PROGRAM 5, 6 and 5, 6 HONORS**
Course Length: 2 Semesters
Grade: 10, 11, 12
Credit per Semester: 1.0
Prerequisite: IMP 3, 4
(Math requirement or Elective)
The IMP 5, 6 Project curriculum is part of a four year integrated, problem-centered mathematics curriculum designed to meet the needs of all students. Algebra, Geometry, Trigonometry, Probability and Statistics are used together in a problem solving process emphasizing logical analysis, inference, and deduction rather than drill-skill memorization. GRAPHING CALCULATORS ARE REQUIRED FOR THIS COURSE.
*See page 8 regarding recommendations for taking honors level classes.
**STUDENTS, TAKING THIS CLASS FOR HONORS CREDIT, WILL BE REQUIRED TO PARTICIPATE IN AT LEAST FIVE OF SIX COLORADO MATHEMATICS LEAGUE EXAMINATIONS. THESE ARE HELD BEFORE SCHOOL THROUGHOUT THE YEAR.
***Students must receive IMP instructor approval for honors credit.
STATISTICS ADVANCED PLACEMENT
Course Length: 2 Semesters
Grade: 10, 11, 12
Credit per Semester: 1.0 Honors
Prerequisite: Algebra 3, 4 or IMP 5, 6
(Math requirement or Elective)
The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes:
- Exploring Data: Observing patterns and departures from patterns
- Planning a Study: Deciding what and how to measure
- Anticipating Patterns: Producing models using probability theory and simulation
- Statistical Inference: Confirming models
Students who successfully complete the course and examination may receive credit, advanced placement or both for an introductory college statistics course. This course will be valuable to those students who plan to attend college regardless of their major. Most college majors such as: social science, education, engineering, health science, mathematics, business, and actuarial science typically require statistics. *See page 8 regarding recommendations for taking honors level classes. GRAPHING CALCULATORS, PREFERABLY TI-83 OR TI- 84, ARE REQUIRED FOR THIS COURSE.
**STUDENTS, TAKING THIS CLASS FOR HONORS CREDIT, WILL BE REQUIRED TO PARTICIPATE IN AT LEAST FIVE OF SIX COLORADO MATHEMATICS LEAGUE EXAMINATIONS. THESE ARE HELD BEFORE SCHOOL THROUGHOUT THE YEAR.MATH ANALYSIS / TRIGONOMETRY 1, 2
Grade: 11, 12
Credit per Semester: 1.0
Prerequisite: Algebra 3, 4
(Math requirement or Elective)
The purpose of this course is to prepare students for calculus. This course offers an analytical and cohesive study of concepts introduced in previous courses and introduces new topics such as functions, vectors, analytic geometry, and probability. GRAPHING CALCULATORS ARE REQUIRED FOR THIS COURSE.
MATH ANALYSIS / TRIGONOMETRY 1, 2 HONORS
Course Length: 2 Semesters
Grade: 11, 12
Credit per Semester: 1.0 Honors
Prerequisite: Geometry 1, 2; Algebra 3, 4
(Math requirement or Elective)
Teacher recommendation
The student who is planning to take AP Calculus should take this course. This course offers an analytical and cohesive study of concepts introduced in previous courses and introduces new topics such as functions, vectors, analytic geometry, and probability. Theory and rigor are stressed. A special project may be required. GRAPHING CALCULATORS ARE REQUIRED FOR THIS COURSE. *See page 8 regarding recommendations for taking honors level classes. **STUDENTS WILL BE REQUIRED TO PARTICIPATE IN AT LEAST FIVE OF SIX COLORADO MATHEMATICS LEAGUE EXAMINATIONS. THESE ARE HELD BEFORE SCHOOL THROUGHOUT THE YEAR.
INTERACTIVE MATHEMATICS PROGRAM 7, 8 and 7, 8 HONORS**
Course Length: 2 Semesters
Grade: 11, 12
Credit per Semester: 1.0
Prerequisite: IMP 5, 6
(Math Requirement or Elective)
The IMP 7, 8 Project curriculum is part of a four year integrated, problem-centered mathematics curriculum designed to meet the needs of all students. Algebra, Geometry, Trigonometry, Probability and Statistics are used together in a problem solving process emphasizing logical analysis, inference, and deduction rather than drill-skill memorization. GRAPHING CALCULATORS ARE REQUIRED FOR THIS COURSE. *See page 8 regarding recommendations for taking honors level classes.
**STUDENTS, TAKING THIS CLASS FOR HONORS CREDIT, WILL BE REQUIRED TO PARTICIPATE IN AT LEAST FIVE OF SIX COLORADO MATHEMATICS LEAGUE EXAMINATIONS. THESE ARE HELD BEFORE SCHOOL THROUGHOUT THE YEAR.
FUNTION/TRIGONOMETRY 1,2
Grade: 11, 12
Credit per Semester: 1.0
Prerequisite: Geometry 1,2 and Algebra 3,4 or IMP 5, 6
(Math requirement or Elective)
This class is designed for students who want to go further in math, but may not feel ready for Math Analysis/Trigonometry. 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, and solution of triangles including the laws of sines and cosines. GRAPHING CALCULATORS ARE REQUIRED FOR THIS COURSE.
CALCULUS 1,2 A,B ADVANCED PLACEMENT
Grade: 12
Credit per Semester: 1.0 Honors
Prerequisite: Functions/Trig or Math Analysis/Trig. and Teacher recommendation
(Math requirement or Elective)
This course consists of college level mathematics. The prescribed AB syllabus produced by the College Entrance Examination Board for the Advanced Placement Program in Mathematics is followed. The student is expected to take the advanced placement examination in May. Advanced placement and/or college credit may be awarded for successful performance on this examination. GRAPHING CALCULATORS ARE REQUIRED FOR THIS COURSE. *See page 8 regarding recommendations for taking honors level classes.
**STUDENTS WILL BE REQUIRED TO PARTICIPATE IN AT LEAST FIVE OF SIX COLORADO MATHEMATICS LEAGUE EXAMINATIONS. THESE ARE HELD BEFORE SCHOOL THROUGHOUT THE YEAR.
Students taking Calculus 1/2 AP may be able to earn college credit through the University of Colorado, Denver. Students wishing to take advantage of this option should sign up for MA.CAAB12AP. The cost for taking the class for college credit is approximately $48.00 per credit. This class is equivalent to 4 semester credits at the university.
MATH ESSENTIAL 1,2
Grade: 9, 10
Credit per Semester: 1.0
Prerequisite: May not have earned Algebra 1, 2 or IMP 1, 2 credits
(Math requirement or Elective)
Math Essentials conforms to the latest recommendations of the National Council of Teachers of Mathematics (NCTM standards). It follows the approach of making mathematics relevant by using skills in a problem-solving environment. This course is designed for students who have not demonstrated mastery of basic math skills. Topics include operations on whole numbers, integers, percents and rational numbers. Measurement, geometry, statistics and probability with real world applications will be covered. Students may use computers, calculators, and manipulatives for course work. No credit will be given to students who have received credit for Algebra 1, 2 or IMP 1, 2.
CONSUMER MATHEMATICS 1, 2
Course Length: 2 Semesters
Grade: 11, 12
Credit per Semester: 1.0
Prerequisite: May not have credit in Business Math
(Math requirement or Elective)
PROBLEM SOLVING
Grade: 11, 12
Credit per Semester: 1.0
Prerequisite: Algebra 1, 2 or IMP 1, 2
(Math requirement or Elective)
The Problem Solving course is a semester course and is intended for students who have attained proficiency in the basic mathematical skills and who have successfully completed at least a first year of Algebra or IMP course. This course is designed to give students a firm problem-solving foundation via the study of such strategies as using diagrams, systematic lists, eliminating possibilities, looking for patterns, guess and check, and solving an easier related problem. Students will be expected to think and work both in and outside of class. In addition, students will collaborate, present solutions orally to the entire class, and write up detailed solutions to problems.
TOPICS IN MATH 1, 2
Course Length: 2 Semesters
Grade: 11, 12
Credit per Semester: 1.0
Prerequisite: Algebra 1, 2 or IMP 1, 2
(Math requirement or Elective)
