Mathematics

To earn a STEM Endorsement, a student must earn a total of 5 credits in math by successfully completing Algebra I, Geometry, Algebra II, and 2 additional math courses for which Algebra II is a prerequisite.
* All courses are subject to minimum and maximum enrollment numbers
Possible Careers: Statistician, Mathematician, Actuary, Computer Scientist, Economist, Civil Engineer
Other Programs

 Overview
 Academic Guidelines
 Advanced Placement Courses
 Athletics
 Pearl Birmingham Scholarship Program
 Career & Technical Education
 College, Career & Military Readiness
 Dual Credit
 English Language Arts
 ExtraCurricular Guidelines
 Fine Arts
 GPA & Class Ranking
 Graduation Requirements
 Languages Other Than English
 Mathematics
 Physical Education
 Science
 Social Studies
 Special Programs
 Additional Electives
Courses

Course Key: 11000A/B
Course Name: Algebra I
Credit: 1
Grade: 912Required Prerequisite(s): Mathematics, Grade 8 or its equivalent
Recommended Prerequisite(s): n/a
A student enrolls in Algebra I as a oneyear course. The course involves a study of the real numbers and their properties, simplifying expressions, the language of Algebra, solving and graphing linear equations and inequalities, linear and quadratic relations and functions, ratios, proportions and variations, and polynomials. The student should acquire a basic knowledge of the structure and use of Algebra.
Course Key: 11001A/B
Course Name: PreAP Algebra I
Credit: 1
Grade: 9Required Prerequisite(s): Mathematics, Grade 8 or its equivalent and passed 8th Grade STAAR,
Recommended Prerequisite(s): strong math skills are encouraged
This course will provide higherlevel critical thinking skills and independent research. Students will experience more challenging problemsolving tasks than in the regular Algebra 1 class. Extra research and problemsolving skills are involved in preparation for PreCalculus and Calculus. Calculator explorations will be a regular part of the course as students examine functions and their graphs. The course will be expanded to include topics such as: simplifying and graphing radicals, simplifying rational expressions, and dividing polynomials. Topics will be explored in depth, and tests will prove more challenging than ones found in the regular Algebra I course.
Course Key: 12000A/B
Course Name: Geometry
Credit: 1
Grade: 912Required Prerequisite(s): Algebra I (Can be taken concurrently with Algebra II with administrator approval)
Recommended Prerequisite(s): n/a
This course is an indepth study of plane and solid figures. The student will apply the principles of inductive and deductive reasoning in developing basic proofs. Particular emphasis is given to applying definitions, conjectures, postulates, and theorems. The student will study the basic properties of lines, planes, polygons, circles, and geometric solids. Topics include the principle of congruence and similarity of triangles and the basic concepts of coordinate and transformational geometry. The course is directed toward giving the student a thorough understanding of Euclidean geometry.
Course Key: 12001A/B
Course Name: PreAP Geometry
Credit: 1
Grade: 910Required Prerequisite(s): Algebra I or PreAP Algebra 1
Recommended Prerequisite(s): n/a
Geometry PreAdvanced Placement is a preparatory course for the advanced placement test, which students will take when they complete Calculus. Higherlevel critical thinking skills, independent research, projects, extensive problem solving, and use of graphing calculators are all included in the course. Topics will be explored in depth, and tests will prove more challenging than ones found in the regular Geometry course.
Course Key: 14000A/B
Course Name: Algebra II
Credit: 1
Grade: 1012Required Prerequisite(s): Algebra I and Geometry (can be taken concurrently with administrator approval)
Recommended Prerequisite(s): n/a
This course includes a study of foundations of functions, identifying and graphing parent functions, extending those functions using transformations, analyzing the relationships between those functions and their inverses, and identifying and graphing conic sections. Systems of equations and inequalities will be solved using algebraic methods, tables, graphs, and matrices.
Course Key: 14001A/B
Course Name: PreAP Algebra II
Credit: 1
Grade: 912Required Prerequisite(s): Algebra I and PreAP Geometry (can be taken concurrently)
Recommended Prerequisite(s): n/a
This course will provide higherlevel critical thinking skills and independent research. Students will experience more challenging problemsolving tasks than in the regular Algebra 2 class. Extra research and problemsolving skills are involved in preparation for precalculus and Calculus. Calculator explorations will be a regular part of the course as students examine functions and their graphs. The course will be expanded to include an introduction to sequences and series and the study of polynomials. Composition of functions is included with inverse functions.
Course Key: 13000A/B
Course Name: Mathematical Models with Applications
Credit: 1
Grade: 911Required Prerequisite(s):
Recommended Prerequisite(s): Algebra I and Geometry
In this class, students will continue to build on the Algebra I foundations as they expand their understanding through other mathematical experiences. Students use algebraic, graphical, and geometric reasoning to recognize patterns and structure, to model information, and to solve problems from various disciplines. Students use mathematical methods to model and solve reallife applied problems involving money, data, patterns, music, science, design and chance. Students use mathematical models from algebra, geometry, probability, and statistics and connections among these to solve problems from a wide variety of advanced applications in both mathematical and nonmathematical situations. Students use a variety of representations (concrete, numerical, algorithmic, and graphical), tools, and technology to link modeling techniques and purely mathematical concepts and to solve applied problems.
Course Key: 14100A/B
Course Name: PreCalculus
Credit: 1
Grade: 1012Required Prerequisite(s): Algebra I, Geometry, Algebra II
Recommended Prerequisite(s): n/a
The course covers material leading into Calculus. Polynomial functions, exponential functions, logarithmic functions, rational functions, circular and trigonometric functions, vectors, parametric equations, sequences and series, and seconddegree relations are all studied in detail.
Course Key: 14101A/B
Course Name: PreAP PreCalculus
Credit: 1
Grade: 1012Required Prerequisite(s): Algebra I, Geometry, Algebra II
Recommended Prerequisite(s): n/a
Precalculus is the preparation for calculus. The course approaches topics from a function point of view, where appropriate, and is designed to strengthen and enhance conceptual understanding and mathematical reasoning used when modeling and solving mathematical and realworld problems. Students systematically work with functions and their multiple representations. The study of Precalculus deepens students' mathematical understanding and fluency with algebra and trigonometry and extends their ability to make connections and apply concepts and procedures at higher levels. Students investigate and explore mathematical ideas, develop multiple strategies for analyzing complex situations, and use technology to build understanding, make connections between representations, and provide support in solving problems.
Course Key: 14440D/E
Course Name: Statistics
Credit: 1
Grade: 1112Required Prerequisite(s):
Recommended Prerequisite(s): Algebra I, Geometry, Algebra II
Students will extend their mathematical understanding beyond the Algebra II level in a study of statistics. This course is an upper level math elective for those interested in statistical analysis and �real world� application. Basic algebra will be reviewed and relations and functions will be a focus.
Course Key: 14401D/E
Course Name: AP Statistics
Credit: 1
Grade: 1112Required Prerequisite(s): Algebra I, Geometry, Algebra II
Recommended Prerequisite(s): n/a
AP statistics is an option for any student who has successfully completed Algebra 1, Geometry, and Algebra 2 This course content will include exploratory analysis of data using graphical and numerical techniques, studies of patterns and departures from patterns, collection of data, and development of conjectures based on data, analysis of the distribution of data, and using models to draw conclusions from data. This course prepares the student to take the College Board Advanced Placement exam. Upon completion of the course, the student will be expected to take the College Board Advanced Placement Exam.
Course Key: 14144D/E
Course Name: Dual Credit Trigonometry/PreCalculus
Credit: 1
Grade: 12Required Prerequisite(s): Algebra II, Dual Credit MATH 1314  College Algebra, TSI Score of 370 or higher, pay own fees and tuition, accepted to Collin College
Recommended Prerequisite(s): n/a
The Trigonometry course is an indepth study and application or trigonometry including definitions, identities, inverse functions, solutions of equations, graphic and solving triangles. PreCalculus Math course is an indepth combined study of Algebra, Trigonometry, and other topics for Calculus readiness.
Course Key: 14201D/E
Course Name: AP Calculus AB
Credit: 1
Grade: 1112Required Prerequisite(s): Algebra I, Geometry, Algebra II, PreCalculus
Recommended Prerequisite(s): Strong skills in PreCalculus
The advanced course involves a study of calculus and Analytic Geometry comparable to that studied in college and university courses. It is an advanced level course. A review of elementary function and conic sections will be included, followed by work leading to differentiation and application of the derivative, integration and applications, and differentiation and integration of trigonometric, logarithmic, and exponential functions. Methods of integration will also be studied. This course is very time intensive and requires large a large amount of study time. This course prepares the student to take the College Board Advanced Placement exam. Upon completion of the course, the student will be expected to take the College Board Advanced Placement Exam.
Course Key: 14311D/E
Course Name: AP Calculus BC
Credit: 1
Grade: 1112Required Prerequisite(s): Algebra I, Geometry, Algebra II, PreCalculus
Recommended Prerequisite(s): Strong skills in PreCalculus
The advanced course involves a study of calculus and Analytic Geometry comparable to that studied in the second semester of college and university courses. It is an advanced level course especially useful to those pursuing studies in mathematics, engineering, sciences, economics, and business fields. A review of concepts of Calculus AB will take place, as higher concepts will be introduced. New methods of integration will be learned such as integration by parts and tabular integration, sequencesand series, power series, parametric, polar and vectors will also be studied. This course is very time intensive and requires a large amount of study time. This course prepares the student to take the College Board Advanced Placement exam. Upon completion of the course, the student will be expected to take the College Board Advanced Placement Exam. Students will receive two scores, one for Calculus AB and one for Calculus BC.
Course Key: 18100D/E
Course Name: College Preparatory Class: Math
Credit: 1
Grade: 12Required Prerequisite(s): Math Models or Algebra II
Recommended Prerequisite(s): n/a
Designed for students in 12th grade who do not meet college readiness expectations, this course will provide instruction in mathematics skills that are most necessary for success in a postsecondary math course. This course was developed in partnership with Region 10 Education Service Center. Successful completion of this course will exempt students from the TSI.
Course Key: 14504A/B
Course Name: Dual Credit College Algebra/Statistics
Credit: 1
Grade: 12Required Prerequisite(s): TSI placement, Algebra II, pay own fees and tuition, accepted to Collin College
Recommended Prerequisite(s): n/a
College Algebra is designed for students in 12th grade who need College Algebra as a college math credit. This class is an indepth study and application of polynomial, rational, radical, exponential and logarithmic functions, and system of equations using matrices. Additional topics such as sequences, series, probability, and conics may be included. Students must register for MATH 1314 College Algebra (3 hours) at Collin College. College Statistics is designed for students in 12th grade who nneed Statistics as a college math credit. Collection analysis, presentation, and interpretation of data, and probability. Analysis includes descriptive statistics, correlation and regression, confidence intervals and hypotheses testing. Students must register for MATH 1342  Elementary Statistical Methods (3 hours) at Collin College.
Course Key: 14704D/E
Course Name: Dual Credit Business Calculus
Credit: 1
Grade: 12Required Prerequisite(s): PreCalculus, pay own fees and tuition, accepted to Collin College, TSI Score of 370 or higher
Recommended Prerequisite(s): n/a
This course is the basic study of limits and continuity, differentiation, optimization and graphing, and integration of elementary functions, with emphasis on applications in business, economics, and social sciences. Students can receive 6 hours of college credit in Math 1324  Mathematics for Business & Social Sciences and Math 1325  Calculus for Business & Social Sciences.