## Math Course Descriptions

## √*ALGEBRA I

### 33040 1 Yr. 9

**Prerequisite:** *Mastery of key competencies identified for 8th grade mathematics.*

**Special Requirements:** *“C” or better both semesters of 8th grade math or concurrent enrollment in Math Strategies I and teacher recommendation. Students will receive math credit for Algebra I and elective credit for Math Strategies I.*

**Description:** In Algebra I the student develops an understanding of the basic structure and language of Algebra, a tool used to represent and solve a variety of real-world situations. Tables, models, and graphs are used to interpret algebraic expressions, equations, and inequalities to analyze functions. In addition, the student uses calculators, computers, and graphing utilities in problem solving. Other areas of study are global processes, number sense and operations, geometry, spatial sense, and measurement, and data analysis, statistics, and probability.

## *ALGEBRA I (UPPERCLASS)

### 33047 1 Yr. 10-12

**Prerequisite:** *Mastery of key competencies identified for 8th grade mathematics.*

**Special Requirements:** This class is for upperclass students only.

**Description:** Algebra I Upperclass is a regular college prep Algebra I course.

## √ MATH STRATEGIES I

### 31001 1 Yr. 9-10

**Prerequisite:** None.

**Special Requirements:** Math Strategies I is a Tier II math intervention course that focuses on the development of Algebra I skills and strategies for the struggling student. Based on standardized test results, the student is placed in this course. In addition, a teacher can recommend placement to meet a student’s IEP modifications and requirements. The student takes Math Strategies I concurrently with his/her Algebra I course. The goal is to have the student meet all algebra standards and exit this program.

**Description:** Math Strategies I is for the student who needs support with Algebra I skills and concepts (e.g., operations with integers, solving equations, graphing). The student learns through a variety of strategies, techniques (e.g., graphic organizers, *Teaching and Learning with Text*), and technology (e.g., graphing calculators and computers). These strategies and techniques improve the student’s abilities to interpret the text, problem solve, and make connections to real-world situations through a variety of opportunities to learn, practice, and internalize critical thinking skills.

This course grants elective credit.

## √ *GEOMETRY

### 35040 1 Yr. 9-12

**Prerequisite:** Successful completion of Algebra I.

**Special Requirements:** *Students must provide their own compass, protractor, and straightedge. TI-30 calculator recommended.*

**Description:** In Geometry the student learns abstract and logical thinking through inductive and deductive reasoning. Lines, planes, polygons, circles, and three-dimensional figures are used for representing and solving a variety of problems. Calculators, computers and software programs (e.g., Geometer’s Sketchpad, Cabri Geometry), construction tools (e.g., compass, protractor, straight edge), and graphing utilities are used as tools in problem solving. Other areas of study could include number sense and operations, data analysis, statistics and probability, and patterns, functions, and algebraic concepts.

## MATH STRATEGIES II

### 31002 1 Yr. 10-11

**Prerequisite:** Successful completion of Algebra I or equivalent(s).

**Special Requirements:** Math Strategies II is a Tier II math intervention course that focuses on the development of Geometry skills and strategies for the struggling student. Based on standardized test results, he/she is placed in this course. In addition, a teacher can recommend placement to meet a student’s IEP modifications and requirements. The student takes Math Strategies II concurrently with his/her Geometry course. The goal is to have the student meet all geometry standards and exit this program.

**Description:** Math Strategies II is for the student who needs support with Geometry skills and concepts (e.g., lines, planes, polygons, circles, three-dimensional figures and their measurements). The student learns through a variety of strategies, techniques (e.g., graphic organizers, *Teaching and Learning with Text*), technology (e.g., Geometer’s Sketch Pad, calculators), and the use of construction tools (e.g., compass, protractor, straight edge). These strategies and techniques improve the student’s abilities to interpret the text, problem solve, and make connections to real-world situations.

*This course grants elective credit.*

## √ *ALGEBRA II

### 36040 1 Yr. 9-12

**Prerequisite:** Successful completion of Algebra I *with a “C” or better and successful completion of Geometry and teacher recommendation.*

**Special Requirements:** *Students will be expected to have access to a calculator with power, root, trig, log and inverse functions.*

**Description:** In Algebra II the student learns to extend and develop the concepts studied in Algebra I and Geometry and is introduced to more advanced topics such as relations, functions, conic sections, and exponential and logarithmic functions. Also, more attention is given to the study of systems of equations including quadratic systems, inequalities, and absolute value relations. Other areas of study are number sense and operations and data analysis and statistics. Problem-solving techniques are taught throughout the course as an integral part of the subject.

## MATH STRATEGIES III

### 31003 1 Yr. 11-12

**Prerequisite:** Successful completion of Algebra I and/or Geometry or equivalent(s).

**Special Requirements:** The intent of Math Strategies III is to support the struggling student in his/her Algebra II or Algebraic Models class. Based on standardized test results, he/she is placed in this course. In addition, a teacher can recommend placement to meet a student’s IEP modifications and requirements. The student takes Math Strategies III concurrently with his/her Algebra II or Algebraic Models course. The goal is to have the student meet all Algebra II standards and exit this program.

**Description:** Math Strategies III is for the student who needs support with Algebra II skills and concepts (e.g., systems of equations, quadratics, functions, trigonometry, probability, statistics). The student learns through a variety of strategies, techniques (e.g., graphic organizers, *Teaching and Learning with Text*), and technology (e.g., graphing calculators, computers). These strategies and techniques improve the student’s abilities to interpret the text, problem solve, and make connections to real-world situations.

*This course grants elective credit.*

## TRANSITION TO COLLEGE MATH

### 38010 1 Yr. 11-12

**Prerequisite:** Successful completion of Algebra II/Algebraic Models.

**Special Requirements:** *The student needs to have access to a scientific calculator (TI-30 at least.)*

**Description:** In Transition to College Math the student approaches the basic concepts and techniques from algebra and Geometry, employing general mathematical approaches to applied problems, analyzing data, working with equations and functions, and describing the results of problems orally, graphically, and in writing. Post-secondary test taking skills and strategies are emphasized in the course. The intent of the course is to increase the readiness of the student to do college level work in mathematics by providing a course with rigor similar to a college mathematics course. Skills and knowledge acquired in this course can be applied to the United States Department of Education Audio-Video Technology and Communications Career Cluster and respective pathways and the New Mexico Arts and Entertainment Career Cluster. Literacy strategies are integrated throughout the curriculum. *The text for this class is a college algebra book. The student will review basic algebraic concepts. The student will study functions with graphs, polynomial and rational functions, exponential and logarithmic functions, systems of equations and inequalities, and basic probability concepts.*

## FINANCIAL LITERACY

### 38011 1 Yr. 11-12

**Prerequisite: **Successful completion of Algebra I and Geometry.

**Special Requirements:** *It is suggested that students take this course after completion of Algebra II/Algebraic Models or concurrently with Algebra II/Algebraic Models.*

**Description:** Financial Literacy as a mathematics course satisfies the fourth year mathematics requirement and is designed to apply algebra, geometry and consumer topics to real life. The student gains an understanding of finance in mathematical terms and gains confidence in his/her ability to manage money as it pertains to his/her personal life. Topics include, but are not limited to, saving and investing, banking and other financial services, credit and debt, income taxes, insurance and risk management, money management, and planning for retirement. The student acquires the consumer skills necessary to function productively and responsibly as he/she embarks on a new life that prepares him/her for a career, post graduate studies, the world of work, and independent living. Literacy and technology skills are integrated throughout the course. The skills and knowledge gained through this course can be applied to any career cluster as they are life skills that can ensure a student’s success in daily activities that require crucial decisions that affect him/her personally.

## *TRIGONOMETRY

### 38020 1 Sem 10-12

**Prerequisite:** Successful completion of Algebra II or equivalent *with a “B: or better, or a high “C” with teacher recommendation.*

**Special Requirements:** This course requires student access to a graphing calculator.

**Description:** Trigonometry is an advanced mathematics course devoted to the study of the six trigonometric functions and a basic introduction to polar coordinates. The student solves triangles, trigonometric equations, finds their values, graphs, inverses, and recognizes the relationships to one another. Other areas of study are global mathematics processes, number sense and operations, geometry, spatial sense, and measurement, and patterns, functions, and algebraic concepts.

## *STATISTICS

### 38021 1 Sem 11-12

**Prerequisite:** Successful completion of Algebra II or equivalent *with a “B: or better, or a high “C” with teacher recommendation.*

**Special Requirements:** This course requires student access to a graphing calculator. Statistics is a one-semester course and backed with the semester Trigonometry course.

**Description:** Statistics presents the concepts of statistics and probability in a simplified manner. The course is devoted to the analysis of data sets, the interpretation of the data, and the use of computers to aid problem solving. Throughout the course, the student sees the practicality statistics has in several content areas, as well as in everyday life. Literacy strategies (e.g., reading, writing, speaking) are integrated throughout the curriculum.

## *PRE-CALCULUS (MATH ANALYSIS)

### 38040 1 Yr. 10-12

**Prerequisite: **Successful completion of Algebra II *with a “B: or better, or a high “C” with teacher recommendation.*

**Special Requirements:** *Students will be expected to have access to a calculator with power, root, trig, log, and inverse functions. A graphing calculator would be preferred but is not necessary.*

**Description:** In Pre-Calculus the student applies advanced algebraic concepts and problem-solving techniques, with and without technology, to find the solution of polynomial equations and inequalities. Areas of study are linear, quadratic, polynomial, rational, exponential, and logarithmic functions and their graphs, systems of equations and inequalities, technical literacy, trigonometry using rectangular and polar graphs, conic sections, sequences and series, probability and statistics, and limits. The student uses reasoning skills to investigate application models. *Pre-Calculus unifies and extends the mathematics studied in algebra, geometry, and trigonometry and applies it to the study of polynomial, logarithmic, trigonometric, and exponential functions.*

## *CALCULUS

### 38051 1 Yr. 11-12

**Prerequisite:** Successful completion of Pre-Calculus or Honors Algebra II with a “C” or “D.”

**Special Requirements:** This course requires access to a graphing calculator.

**Description:** In Calculus the student applies advanced algebraic concepts and problem-solving techniques, with and without technology, to find the solution of polynomial equations and inequalities. Additional areas of study include, but are not limited to, linear, quadratic, polynomial, rational, exponential, and logarithmic functions and their graphs; systems of equations or inequalities; technical literacy; trigonometry using rectangular and polar graphs; and conic sections. The student also studies limits, differentiation, and definite and indefinite integration of functions and relations. The student uses reasoning skills to investigate application models and integrates literacy strategies throughout the

curriculum. *This course does not grant weighted credit.*