Mathematics
Math Graduation Requirements
3 Credits total
Core Courses
- Topics in Math
- Algebra 1
- AMPED Hybrid Class
- Geometry
- Geometry with Lab
- GIC Hybrid Class
- Algebra 2
- Accounting 1
- Business Math
- CMU Math 108
- Pre-College Algebra
- CMU Math 113
- AP Statistics
- AP Pre-Calculus
- AP Calculus AB
- Application of Statistics
Topics in Math
1.0 MATH CREDIT - GRADE 9
REQUIREMENTS - NWEA SCORE BELOW 212 AND MUST HAVE AT LEAST 85% ATTENDANCE RATE
ONLY OFFERED TO FRESHMAN WITH LOW MATH SCORES 1'S AND 2'S
This course is an introduction to basic algebra concepts and a review of prior learning from mathematical concepts that are essential components to more advanced math topics. The course is designed to help students build math confidence in preparation for Algebra 1 and Geometry. The course will place an emphasis on Number Sense with focus on integers, order of operations,
variables, expressions, and equations. The course will support students in developing good mathematical study skills and learning strategies. Many different approaches (foldables, expression mats, student interactive notebooks) and manipulatives will be used in this learning. Throughout the course students will be reviewing prior knowledge that leads to a final cumulative exam.
Algebra 1
1.0 MATH CREDIT - GRADE 9 - 10
PREREQUISITE - SPRING NWEA >220 AND TEACHER RECOMMENDATION
Algebra is a year long mathematics course where learners explore concepts that develop an understanding of mathematical relationships, functions, and models, both in and out of context, with an emphasis on problem solving. In the exploration of concepts, symbols are used in place of numbers to describe and generalize patterns and relationships. Learners utilize conceptual understanding, skills, multiple representations, and strategies that address linear functions, linear systems of equations, one-variable equations and inequalities, and use statistical models to analyze relationships represented by data, and apply these concepts in real world situations or to prepare for the PSAT. The TI-84 Plus calculator is required for this course.
AMPED Hybrid Class
1.0 MATH CREDIT AND 1.0 ELECTIVE CREDIT - GRADE 9
PREREQUISISTE - SPRING NWEA SCORES >230 AND TEACHER RECOMMENDATION
This is an Algebra 1 course combined with Intro to Business (S1) and Principles of Management (S2). The course alternates with Algebra 1 one day and Intro to Business or Management the next. All of the same standards are covered as any other Algebra 1 course but in the context of running a t-shirt manufacturing business. Students are in charge of sales, design, production, and billing for our t-shirt printing business. We use our data from the business and real-world applications to learn the mathematics. "Mathematics with a Purpose" is the goal of this program. This course asks students to be driven in asking questions, working in cooperative groups and learning through a different non-traditional perspective.
Geometry
1.0 MATH CREDIT - GRADE 9-11
PREREQUISISTE - COMPLETION OF ALGEBRA 1, SPRING NWEA SCORES >235 AND TEACHER RECOMMENDATION
Geometry year long course in which learners engage with concepts at a typical pace over the course of a school year. Geometry is a branch of mathematics that uses logic and formal thinking to establish mathematical relationships between points, lines, triangles, transformations, and quadrilaterals. Learners engage in Euclidean and analytical geometry by using lines, angles, polygons, and planes with emphasis on systematic approaches to and processes for proving and applying theorems. Students will prove theorems about congruent triangles, parallel lines, quadrilaterals. Further, probability will be explored in general and with shapes and how to apply probability models to real-world situations. Algebraic thinking will be applied throughout the course.
Geometry with Lab
1.0 MATH CREDIT - GRADE 9-11
PREREQUISISTE - COMPLETION OF ALGEBRA 1, SPRING NWEA SCORES >235 AND TEACHER RECOMMENDATION
Geometry year long course in which learners engage with concepts at a typical pace over the course of a school year. Geometry is a branch of mathematics that uses logic and formal thinking to establish mathematical relationships between points, lines, triangles, transformations, and quadrilaterals. Learners engage in Euclidean and analytical geometry by using lines, angles, polygons, and planes with emphasis on systematic approaches to and processes for proving and applying theorems. Students will prove theorems about congruent triangles, parallel lines, quadrilaterals. Further, probability will be explored in general and with shapes and how to apply probability models to real-world situations. Algebraic thinking will be applied throughout the course.
GIC Hybrid Class
1.0 MATH CREDIT AND 1.0 ELECTIVE CREDIT - GRADE 10
PREREQUISISTE - COMPLETION OF ALGEBRA 1, SPRING NWEA SCORES >235 AND TEACHER RECOMMENDATION
This is a high school Geometry course combined with a Manufacturing Technology course. The course alternates one day Geometry and one day Manufacturing Technology (which is often in the form of construction projects.) Students learn math concepts and then apply them to build sheds, picnic tables, mini-golf holes, and other projects. All geometry standards are taught in this course but with real world applications. "Mathematics with a Purpose" is the goal of this program. This course asks students to be driven in asking questions, working in cooperative groups and learning through a different non-traditional perspective.
Algebra 2
1.0 MATH CREDIT - GRADE 10 - 12
PREREQUISISTE - COMPLETION OF ALGEBRA 1, GEOMETRY, AND TEACHER RECOMMENDATION
Algebra 2 is a year-long course that is a branch of mathematics that uses symbols in place of numbers to describe and generalize patterns and relationships. Algebra 2 addresses math standards that build towards advanced algebraic topics, extending prior coursework and improving mathematical reasoning skills. Topics include reviewing and extending ideas of linear functions, linear systems of equations/inequalities, absolute value functions, quadratics in a deeper lens, and polynomial functions. In Algebra 2, students will take the ideas of statistical reasoning and extend them into approximately normal data, types of sampling, and experiments. Decisions will be based on representative sampling from a population and by creating and evaluating statistical models.
Accounting 1
1.0 MATH CREDIT - GRADE 11 - 12
PREREQUISITE - COMPLETION OF INTRO TO BUSINESS
This course introduces accounting principles for understanding the theory and logic that underlie procedures and practices for business organizations. Major topics include the accounting cycle for service and merchandising companies, internal control principles and practices, notes and interest, inventory systems and costing, and plant and intangible asset accounting. This course builds a basic understanding of manual and automated accounting principles and procedures. Students learn to analyze and record business transactions and prepare financial statements for businesses organized as proprietorships, partnerships, and corporations.
This class does NOT meet the NCAA math requirement.
Business Math
0.5 MATH CREDIT - GRADE 11 - 12
This course is designed to assist students in learning to use mathematics as a tool in their personal and business lives. Students will use whole numbers, fractions, decimals, percent, and linear equations to solve problems from a variety of applications. The emphasis in this course is problem-solving to develop critical thinking skills in realistic business situations. Spreadsheet applications relating to course topics will provide real-world computer experience.
This class does NOT meet the NCAA math requirement.
CMU Math 108
0.5 MATH CREDIT - GRADE 11 - 12
Prerequisites: Students must have completed one semester of Algebra or have a NWEA score of 235 or higher.
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Must be concurrently enrolled in ELCE 150 or 155.
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Or be individual approval by the instructor and your counselor
Covers material designed for career technical or general studies students who need to study particular mathematical topics. Topics may include measurement, algebra, geometry, trigonometry, graphs, and/or finance. These are presented on an introductory level and the emphasis is on applications.
Pre-College Algebra
1.0 MATH CREDIT - GRADE 11 - 12
PREREQUISISTE - COMPLETION OF ALGEBRA 2 OR HIGHER, AND TEACHER RECOMMENDATION
A preparation course for college-level treatment of algebra. This course includes properties of real (and complex) numbers; laws of exponents and radicals; factoring polynomials; solving linear and quadratic equations and inequalities; rational expressions and complex fractions; introduction to functions and relations; applications. Successful completion of this course will prepare you to meet placement requirements for a General Education course satisfying the Mathematics Requirement at Universities within the Colorado University system. General Education courses in mathematics are designed to achieve the following general education goals:
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Demonstrate quantitative literacy
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Demonstrate investigative and analytical thinking skills to solve problems
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Apply mathematics to solve problems
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Identify appropriate strategies to model quantifiable relationships. (Colorado Mesa University Catalog)
This class follows the guidelines of college mathematics: No-retakes or corrections on assessments, use of notes is prohibited, cumulative final. Students in the class will be participating in taking the Aleks assessment to be placed into CMU 113. This class is offered as a blocked everyday class for Fall semester only. Even if students have the necessary requirements to be in CMU Math 113, we strongly recommend that students take this class to prepare for the requirements of a college math class.
CMU Math 113
0.75 MATH CREDIT - GRADE 11 - 12
PREREQUISISTE - COMPLETION OF ALGEBRA 2 OR HIGHER, GPA >3.0, AND A SOCRE OF >540 ON SAT (OR EQUIVALLENT ACCUPLACER SCORE)
A college-level treatment of algebra. Topics include algebraic properties of the integers, rationales, and real and complex numbers; techniques for manipulation of expressions; techniques for solving linear, non-linear, absolute value equations, and inequalities; techniques for solving systems of equations; the Cartesian plane, relations, and functions; properties and graphs of polynomial, piece-wise functions, rational, exponential, logarithmic and inverse functions. The focus of this course places significant emphasis on utilizing algebra techniques to analyze, solve, and interpret applications in content areas relevant to the students’ majors. This class is offered as a blocked everyday class for the Spring semester only.
This course will count for both high school credit (0.75) and college credit (4).
AP Statistics
1.0 MATH CREDIT - GRADE 11 - 12
PREREQUISISTE - COMPLETION OF ALGEBRA 1 AND GEOMETRY. ALGEBRA 2 COMPLETION IS RECOMMENDED BUT NOT REQUIRED.
This course is for advanced math students and is taught as a non-calculus based college class and culminates in the Advanced Placement Statistics Examination. 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: Describing patterns and departures from patterns; Sampling and Experimentation: Planning and conducting a study; Anticipating Patterns: Exploring random phenomena using probability and simulation; Statistical Inference: Estimating population parameters and testing hypotheses. Students who successfully complete the course and exam may receive credit, advanced placement or both for a one-semester introductory college statistics course. Grades may be weighted in this course for the purpose of determining GPA. The TI-NSPIRE calculator will be rented out in the class. Take this course if you plan on majoring or interested in the following: Engineering, Air Transportation, Mathematics, Analysts, Astronomy, Atmospheric Sciences and Meteorology, Business Administration/Management, Computer Science, Criminal Justice, Criminology, Economics, Education, Environmental Studies, Ethnic Studies, Exercise Science, Foods/Nutrition/Wellness, Geography, Information Science, Insurance, Management Science, Medical field, Meteorologist, Physical Assistant, Physics, Psychology, Public Administration, Public Policy Analysis, Social Work, Statistics, Urban Studies.
AP Pre-Calculus
1.0 MATH CREDIT - GRADE 11 - 12
PREREQUISISTE - COMPLETION OF GEOMETRY AND ALGEBRA 2
This year course fosters the development of a deep conceptual understanding of functions. Students acquire and apply mathematical tools in real-world modeling situations. Modeling, a central instructional theme for this course, helps students come to a deeper understanding of each function type to include polynomial, rational, exponential, and logarithmic functions. Students develop and hone symbolic manipulation skills, solve equations, and manipulate expressions and in turn the skills learned in this course are widely applicable in a variety of future courses that involve quantitative reasoning.
AP Calculus AB
1.0 MATH CREDIT - GRADE 11 - 12
PREREQUISISTE - C OR BETTER IN PRE-CALCULUS
This course is for advanced math students and is taught as a college class. This course is offered as a strand class and will meet all year. This course consists of an in-depth study of elementary functions and selected topics from differential and integral calculus, including the study of limits, continuity, derivatives, applications of the derivative, techniques of integration, and applications of the integral. This course culminates in Advanced Placement Calculus AB Examination. Successful completion of the course and the exam may earn the student 5-10 semester hours of credit at an accepting college or university. Grades may be weighted in this course for the purpose of determining GPA. A TI-84+ Silver Edition calculator is required for this course.
Application of Statistics
1.0 MATH CREDIT - GRADE 11 - 12
PREREQUISISTE - COMPLETION OF ALGEBRA 1 AND GEOMETRY. ALGEBRA 2 COMPLETION IS RECOMMENDED BUT NOT REQUIRED.
This course is for advanced math students and is taught as a non-calculus based college class andculminates in the Advanced Placement Statistics Examination. 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: Describing patterns and departures from patterns; Sampling and Experimentation: Planning and conducting a study; Anticipating Patterns: Exploring random phenomena using probability and simulation; Statistical Inference: Estimating population parameters and testing hypotheses. Students who successfully complete the course and exam may receive credit, advanced placement or both for a one-semester introductory college statistics course. Grades may be weighted in this course for the purpose of determining GPA. The TI-NSPIRE calculator will be rented out in the class. Take this course if you plan on majoring or interested in the following: Engineering, Air Transportation, Mathematics, Analysts, Astronomy, Atmospheric Sciences and Meteorology, Business Administration/Management, Computer Science, Criminal Justice, Criminology, Economics, Education, Environmental Studies, Ethnic Studies, Exercise Science, Foods/Nutrition/Wellness, Geography, Information Science, Insurance, Management Science, Medical field, Meteorologist, Physical Assistant, Physics, Psychology, Public Administration, Public Policy Analysis, Social Work, Statistics, Urban Studies.
Elective Courses
Algebra 1 with Lab
1.0 ELECTIVE CREDIT - GRADE 9
PREREQUISISTE - SPRING NWEA SCORES >212-220 AND TEACHER RECOMMENDATION
This course is connected with Algebra 1. Students will receive an elective credit for the lab. This class is designed to fill in gaps, move at a slower pace on topics, and aid students in understanding the given topics and how they relate to new topics or prior learning.
Geometry with Lab
1.0 MATH CREDIT - GRADE 9-11
PREREQUISISTE - COMPLETION OF ALGEBRA 1, SPRING NWEA SCORES >235 AND TEACHER RECOMMENDATION
Geometry year long course in which learners engage with concepts at a typical pace over the course of a school year. Geometry is a branch of mathematics that uses logic and formal thinking to establish mathematical relationships between points, lines, triangles, transformations, and quadrilaterals. Learners engage in Euclidean and analytical geometry by using lines, angles, polygons, and planes with emphasis on systematic approaches to and processes for proving and applying theorems. Students will prove theorems about congruent triangles, parallel lines, quadrilaterals. Further, probability will be explored in general and with shapes and how to apply probability models to real-world situations. Algebraic thinking will be applied throughout the course.
Advanced Math Lab
1.0 ELECTIVE CREDIT - GRADE 10 - 12
This class is an elective class that will provide students additional support for students that are in Algebra 2, AP Statistics, AP Pre-Calculus. Students that take this class will be able to dive deeper in the topics they are learning, have a different way of looking at the material, look at resources using college board and approach Algebra 2 problems in a different lens.
Personal Finance
0.5 MATH CREDIT AND FINANCIAL LITERACY - GRADE 11 - 12
The most important class you will take in High School - Adulting 101 - learn all the Financial Life Skills you need to succeed! Avoid a future of living paycheck-to-paycheck. In this course students will learn the basics of budgeting, banking, investing, credit and debt, retirement planning, taxes, consumer skills and insurance. Learn how to manage your finances to avoid debt and build wealth for a secure future. Dig deep into the learning with projects in Budgeting and Investing.
This class meets the district requirement for Financial Literacy. It surveys the basic personal finance needs of most individuals and introduces the personal finance tools useful in planning and instituting a successful personal financial philosophy. The course emphasizes the basics of budgeting, buying, saving, borrowing, career planning, investing, retirement planning, estate planning, insurance, and income taxes.
This course may be taken for 0.5 math credit.
Elective Courses
Algebra 1 with Lab
1.0 ELECTIVE CREDIT - GRADE 9
PREREQUISISTE - SPRING NWEA SCORES >212-220 AND TEACHER RECOMMENDATION
This course is connected with Algebra 1. Students will receive an elective credit for the lab. This class is designed to fill in gaps, move at a slower pace on topics, and aid students in understanding the given topics and how they relate to new topics or prior learning.
Geometry with Lab
1.0 MATH CREDIT - GRADE 9-11
PREREQUISISTE - COMPLETION OF ALGEBRA 1, SPRING NWEA SCORES >235 AND TEACHER RECOMMENDATION
Geometry year long course in which learners engage with concepts at a typical pace over the course of a school year. Geometry is a branch of mathematics that uses logic and formal thinking to establish mathematical relationships between points, lines, triangles, transformations, and quadrilaterals. Learners engage in Euclidean and analytical geometry by using lines, angles, polygons, and planes with emphasis on systematic approaches to and processes for proving and applying theorems. Students will prove theorems about congruent triangles, parallel lines, quadrilaterals. Further, probability will be explored in general and with shapes and how to apply probability models to real-world situations. Algebraic thinking will be applied throughout the course.
Advanced Math Lab
1.0 ELECTIVE CREDIT - GRADE 10 - 12
This class is an elective class that will provide students additional support for students that are in Algebra 2, AP Statistics, AP Pre-Calculus. Students that take this class will be able to dive deeper in the topics they are learning, have a different way of looking at the material, look at resources using college board and approach Algebra 2 problems in a different lens.
Personal Finance
0.5 MATH CREDIT AND FINANCIAL LITERACY - GRADE 11 - 12
The most important class you will take in High School - Adulting 101 - learn all the Financial Life Skills you need to succeed! Avoid a future of living paycheck-to-paycheck. In this course students will learn the basics of budgeting, banking, investing, credit and debt, retirement planning, taxes, consumer skills and insurance. Learn how to manage your finances to avoid debt and build wealth for a secure future. Dig deep into the learning with projects in Budgeting and Investing.
This class meets the district requirement for Financial Literacy. It surveys the basic personal finance needs of most individuals and introduces the personal finance tools useful in planning and instituting a successful personal financial philosophy. The course emphasizes the basics of budgeting, buying, saving, borrowing, career planning, investing, retirement planning, estate planning, insurance, and income taxes.
This course may be taken for 0.5 math credit.