Mathematics

33040 - Algebra I

Prerequisites: Successful completion of 8th grade mathematics and test scores.

Teacher signature required

Student placement in this course is based on test scores; 8th grade teacher recommendation or Algebra I Teacher recommendation.

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. The student uses tables, models, and graphs 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, geometry, and data analysis and probability. This class is a prerequisite for Geometry.

31001 - Math Strategies I

Prerequisite: Concurrent enrollment in Algebra I.

Teacher signature required

Student placement in this course is based on standardized test results, teacher recommendation, and grades.

This class will not count for NCAA credit.

This class will count as an elective.

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 receives personalized instruction and progress monitoring assessment in his or her areas of need, through a variety of strategies, techniques (e.g., graphic organizers, Teaching and Learning with Text), and technology (e.g., graphing calculators and computers) to learn. 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.

33080 - Honors Algebra I

Prerequisite: Placement test scores; 8th grade teacher recommendation or Algebra I teacher recommendation

Teacher signature required

This course requires the student to have access to a graphing calculator.

Honors Algebra I is designed for any student desiring to take an advance level mathematics course who wants to be prepared for AP Calculus and may have an interest in preparing for a career in Mathematics, Science and/or Engineering. The student is prepared for the increased work load an Honors course demands. He/She is challenged to exceed the standards of the Algebra I course in order to prepare him/her for the rigor of more advanced classes such as AP Calculus. Throughout the course, the student develops concepts, techniques and theory in great depth than the Algebra I course. Both acceleration and enrichment are integral components of the curriculum. This is the first course in the four-year Honors/ AP Program on mathematics and carries a weighted grade. Other areas of study are global processes, geometry, and data analysis and probability. There are four main differences between regular and Honors (pre-AP) and that is (1) the sophistication of the response the teacher asks of the students, (2) the rigor of work that is required, (3) the way the teacher assesses what is taught, and (4) the global connections that reach beyond the boundaries of what is taught in the textbook. Literacy strategies are integrated throughout the curriculum. Skills and knowledge acquired in this course can be applied to the United States Department of Education Audio-Video Technology and Communications cluster and respective pathways.

35040 - Geometry

Prerequisite: Successful Completion of Algebra I (both semesters)

Teacher signature required

This course requires student access to a graphing calculator.

In Geometry, the student learns abstract and logical thinking through inductive and deductive reasoning. The student uses lines, planes, polygons, circles, and three-dimensional figures for representing and solving a variety of problems. The student uses calculators, computers and software programs (e.g., Geometer’s Sketchpad, Cabri Geometry), construction tools (e.g., compass, protractor, straight edge), and graphing utilities as tools. Other areas of study include global processes; algebra, functions, and graphs; and data analysis and probability. Literacy strategies are integrated throughout the curriculum.

35080 - Honors Geometry

Prerequisite: Successful completion of Honors Algebra I or Algebra I with A and teacher recommendation.

Teacher signature required

This course requires student access to a graphing calculator.

In Honors Geometry the student learns abstract and logical thinking through inductive and deductive reasoning. The student uses advanced concepts in lines, planes, polygons, circles, and three-dimensional figures for representing and solving a variety of problems. The student uses calculators, computers and software programs (e.g., Geometer’s Sketchpad, Cabri Geometry), construction tools (compass, protractor, straight edge), and graphing utilities as tools in problem-solving. Other areas of study include global processes; algebraic concepts, functions, patterns and graphs; and data analysis and probability. The course also prepares students for success in Honors Algebra II/Trigonometry through in-depth coverage of some topics.

36040 - Algebra II

Prerequisite: Successful Completion of Algebra I and Geometry or Equivalents

Teacher signature required

This course requires student access to a graphing calculator.

In Algebra II the student extends and further develops the concepts studied in Algebra I and Geometry. He or she is introduced to more advanced algebraic topics such as relations, functions, conic sections, and exponential and logarithmic functions. Increased

attention is given to the study of systems of equations including quadratic systems, inequalities, and absolute value relations. Other areas of study include geometry, data analysis, and probability. The student applies problem-solving techniques throughout the year as an integral part of the course.

31003 - Math Strategies III

Prerequisite: Concurrent enrollment in Algebra II

Teacher signature required

Student placement in this course is based on standardized test results, teacher recommendation, and grades.

This class will count as an elective.

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

36080 - Algebra II/Trig Honors

Prerequisite: Successful Completion of Honors Algebra I and Honors Geometry or Equivalents

Teacher signature required

This course requires student access to a graphing calculator.

In Algebra II the student extends and further develops the concepts studied in Algebra I and Geometry. He or she is introduced to more advanced algebraic topics such as relations, functions, conic sections, and exponential and logarithmic functions. Attention

to the study of systems of equations including quadratic systems, inequalities, and absolute value relations. Other areas of study include geometry, data analysis, and probability. The student applies problem-solving techniques throughout the course as an integral part of the course.

38010 - Transition to College Math

Prerequisite: Successful Completion of Algebra II or equivalent

Teacher signature required

This course is not open to students who have completed Algebra II with a grade of B or better.

This class will not count for NCAA credit

In Transitions to College Math, the student approaches the basic concepts and techniques from Algebra I and Geometry through numerical computation in concrete problem settings. Graphing is used to strengthen numerical intuition and to give concrete representation of functional relationships. The goal is to increase the readiness of the student to do college level work in mathematics, and therefore, to open career options to him/ her that might otherwise remain closed. Transition to College Math is designed as a fourth-year math class for students who have completed all three required math credits. It reviews and reinforces basic algebra topics encountered in Algebra I and Algebra II and helps with ACT math preparation.

38012DE – Financial Literacy On-Line

Prerequisite: Successful Completion of Algebra I, Geometry, and Algebra II or equivalent

Teacher signature required

This class will not count for NCAA credit

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 confidence in his or her ability to manage money as it pertains to his or 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 or she embarks on a new life that prepares him or her for a career, post graduate studies, the world of work, and independent living.

38023 – Probability & Statistics

Prerequisite: Successful Completion of Algebra II or Equivalent

Teacher signature required

Fee: A fee of $10 may be required for this course for additional materials and supplies.

This course requires student access to a graphing calculator.

Probability and Statistics presents basic concepts and techniques for collecting, summarizing and analyzing data, drawing conclusions, and making predictions. Applications may be drawn from a wide variety of disciplines ranging from the social sciences of psychology and sociology to education, allied health fields, business, economics, engineering, the humanities, the physical sciences, journalism, communications, and liberal arts. The student is able to design an experiment, collect appropriate data, select and use statistical techniques to analyze the data, and develop and evaluate inferences based on the data. Using manipulatives, graphing calculators and computer applications to develop concepts helps the student develop and attach meaning to abstract ideas. 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.

38022 – Advanced Placement (AP) Statistics

Prerequisite: Successful Completion of Algebra II or Equivalent.

Teacher signature required

This course requires student access to a graphing calculator.

The course prepares students for success on the national A.P. Statistics exam and it is strongly recommended that the student take the exam. Depending on his or her score and the policies of the college or university the student chooses to attend, he or she may receive actual college credit.

It is highly recommended, but not required, that the student purchase a TI83+ graphing calculator.

The A.P. Statistics introduces the student to statistics and prepares students for the national AP exam. Students are introduced to the major concepts and tools for collecting, analyzing, and drawing conclusions from data focusing on four broad themes:

1. Exploration: Observing patterns and departure from patterns

2. Research studies design

3. Production models using probability theory and simulation

4. Statistical inference

TBD - AP Pre-calculus

Prerequisite: Successful completion of Algebra I, Geometry, and Algebra II/Algebra II Honors

Grades 10-12

Year long course: 1 credit - Teacher signature required

AP Pre-calculus is designed for students who have attained Algebra II objects in preparation for a calculus or AP calculus course. Precalculus incorporates algebraic, graphical, numerical, and verbal analysis through the study of complete numbers; expanded understanding of polynomial and rational, logarithmic, exponential and trigonometric functions; trigonometric identities and equations; vectors; matrices; the polar coordinate system; conic sections; and an introduction

to limits; application-based problem solving using appropriate technology tools is an integral part of the course. This course is intended to prepare students for the optional Advanced Placement Exam in the subject and should follow the published College Board guidelines.

38080 – Advanced Placement (AP) Calculus AB

Prerequisite: Successful Completion of Pre-Calculus or Honors Algebra II/Trig

Teacher signature required

This course requires student access to a graphing calculator.

This course prepares students for success on the national A.P. Calculus AB exam. It is strongly recommended that the student take the exam. Depending on his or her score and the policies of the college or university the student chooses to attend, he or she may receive actual college credit.

This course consists of a full academic year of work that is comparable to a college-level calculus course. Students should have demonstrated mastery of material from algebra, geometry, coordinate geometry, and trigonometry, with study in areas that include, but are not limited to, advanced topics in algebra, trigonometry, analytic geometry and elementary functions that are linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric and piecewise defined.

In AP Calculus AB, the student studies limits, differentiation, and definite and indefinite integration of functions and the student develops ideas from analysis throughout the AP course. The course prepares the student for the AB level Advanced Placement Calculus exam, and as a result includes an extensive review of relevant topics. The student is required to use a graphing calculator and must have access to the graphing calculator at school and at home. On successful completion of the course, the student is expected to seek college credit, college placement, or both from the college of his or her choice. By the time the student takes this course, he or she has already met and exceeded the standards set forth by the National Council of Teachers of Mathematics (NCTM), the State of New Mexico Mathematics Standards, and the Albuquerque Public Schools (APS) District Mathematics Standards.

38085 – Advanced Placement (AP) Calculus BC

Prerequisite: Successful Completion of AP Calculus AB

Teacher signature required

This course requires student access to a graphing calculator.

Important Notes: This calculus course consists of a full high school academic year of work that is comparable to calculus courses in colleges and universities. The student is expected to seek college credit, college placement, or both from the college of his/her choice. The student is required to use a graphing calculator and must have access to the graphing calculator at school and at home. The student must agree to participate in at least one organized mathematics competition held in the district.

AP Calculus BC extends the concepts of limits, differentiation, and integration studied in AP Calculus AB to include sequences, infinite series, and parametric, polar and vector valued functions. More attention is given to techniques of integration using parts, trigonometric substitution, partial fractions, and improper integrals. Optional topics include vector analysis, developed to study lines, planes and surfaces in 3-dimensional space and/or advanced problem-solving techniques used in major mathematics contests. The student develops ideas from analysis throughout AP Calculus BC. The course prepares the student for the BC level Advanced Placement Exam in Calculus and as a result includes an extensive review of relevant topics.

By the time the student takes this course, he/she has already met and exceeded the standards set forth by the National Council of Teachers of Mathematics (NCTM), the State of New Mexico Mathematics Standards, and the Albuquerque Public Schools (APS) District Mathematics Standards. Therefore, the performance standards represented in this course can be aligned to the strands “Topics for Further Study” recommended by the State Department of New Mexico.

66150 – AP Computer Science Principles

Prerequisite: None (Algebra I Highly Recommended)

Note: This course will meet the graduation requirement for a 4^th math credit if taken after the student has successfully passed Algebra II.

The AP Computer Science Principles course is designed to be equivalent to a first- semester introductory college computing course. In this course, students will develop computational thinking skills vital for success across all disciplines, such

as using computational tools to analyze and study data and working with large data sets to analyze, visualize, and draw conclusions from trends. The course engages students in the creative aspects of the field by allowing them to develop computational artifacts based on their interests. Students will also develop effective communication and collaboration skills by working individually and collaboratively to solve problems and will discuss and write about the impacts these solutions could have on their community, society, and the world. AP Computer Science Principles introduces students to the foundational concepts of computer science and challenges them to explore how computing and technology can impact the world. With a unique focus on creative problem solving and real-world applications, AP Computer Science Principles prepares students for college and career. This course is intended to prepare students for the optional Advanced Placement Exam in this subject and should follow the published College Board guidelines.