Mathematics

Credit: 1
Grade: 9
Prerequisite: None
Note: Graphing Calculator required

This course emphasizes the development of skills, techniques and applications that deal with number relations, linear equations, formulas, polynomials, graphing, systems of equations, factoring, rational expressions, data analysis, quadratic, and exponential functions. Students will learn the skills associated with the mathematical process TEKS: problem-solving, appropriate use of tools, mathematical communication, multiple representations, reasoning, proof, and justification. Successful completion of this sequence will prepare students for entry into a geometry course.

Credit: 1
Grade: 9
Prerequisite: None
Note: Graphing Calculator required

In addition to the content specified in the Algebra I course description (see above), the Pre-AP sequence focuses on teaching mathematical skills and concepts in a problem-solving environment. Successful completion of this sequence will prepare students for entry into a geometry course.

Credit: 1
Grade: 9-10
Prerequisite: Algebra I
Note: Graphing Calculator required

This course deals with sets of points and related properties. Sets studied include lines, angles, polygons, circles, planes and surfaces of geometric solids such as pyramids, cones, cylinders and spheres. This sequence emphasizes systematic approaches to and processes for proving and applying theorems. Algebra is utilized extensively during the second semester. Students will learn the skills associated with the mathematical process TEKS: problem-solving, appropriate use of tools, mathematical communication, multiple representations, reasoning, proof, and justification. Successful completion of this sequence prepares the students for further work in algebra, usually in Algebra II.

Credit: 1
Grade: 9-10
Prerequisite: Algebra I or Algebra I Pre-AP
Note: Graphing Calculator required

In addition to the content specified in the Geometry course description (see above), the Pre-AP sequence focuses on teaching mathematical skills and concepts in a problem-solving environment. Successful completion of this sequence will prepare students for entry into an Algebra II course.

Credit: 1
Grade: 11
Prerequisites: Algebra I and Geometry
Note: Graphing Calculator required

In Mathematical Models with Applications, 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 real-life applied problems involving money, data, chance, patterns, music, design, and science. 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.

Credit: 1
Grade: 10-11
Prerequisite: Geometry
Note: Graphing Calculator required

This course emphasizes the skills, concepts, and underlying mathematical foundations of advanced algebra. Students study polynomial, logarithmic, and exponential functions. Additional topics include the complex number system, sequences and series, matrices, systems of equations, rational functions, radical functions, and inverse functions. Students will learn the skills associated with the mathematical process TEKS: problem-solving, appropriate use of tools, mathemati-cal communication, multiple representations, reasoning, proof, and justification. Completion of this course prepares the student for entry into a Precalculus course.

Credit: 1
Grade: 9-11
Prerequisite: Geometry or Geometry Pre-AP
Note: Graphing Calculator required

In addition to the content specified in the Algebra II course description (see above), the Pre-AP sequence focuses on teaching mathematical skills and concepts in a problem-solving environment. Successful completion of this sequence will prepare students for entry into a Precalculus course.

Credit: 1
Grade: 11-12
Prerequisite: Algebra II
Note: Graphing Calculator required

This course includes the topics of polynomial, rational and algebraic functions, linear programming, complex numbers, trigonometric equations, identities, inverse trigonometric functions, vectors, polar coordinates, statistics, matrices, logarithms, permutations, combinations, and probability. Students will learn the skills associated with the mathematical process TEKS: problem-solving, appropriate use of tools, mathematical communication, multiple representations, reasoning, proof, and justification. Students completing this sequence will have a strong background for a first year Calculus course.

Credit: 1
Grade: 10-12
Prerequisite: Algebra II or Algebra II Pre-AP
Note: Graphing Calculator required

In addition to the content specified in the Precalculus course description (see above), the Pre-AP sequence focuses on teaching mathematical skills and concepts in a problem-solving environment. Successful completion of this sequence will prepare students for entry into a Calculus course, usually AP Calculus BC.

Credit: 1
Grade: 11-12
Prerequisite: Algebra II
Note: Graphing Calculator required

Statistics covers topics included in a one-semester college course; data collection and analysis, probability and inference. It moves at a slower pace than AP Statistics and will help prepare students for a college statistics course. The emphasis is on understanding how to use statistics to address real-world problems. The use of technology is integrated throughout the course.

Credit: 1
Grade: 10-12
Prerequisite: Algebra II
Note: Graphing Calculator required

AP Statistics covers topics included in a one-semester college course, which adheres to the syllabus of the College Board Advanced Placement program. Topics studied include data collection and analysis, probability and inference. It prepares the college-bound student for possible advanced standing credit in statistics at the college level. The Advanced Placement Exam in statistics may be taken at the end of the course. Because of the level of maturity and life experience necessary to apply the concepts in real world contexts, only students in grades 10-12 may enroll.

Credit: 1
Grade: 11-12
Prerequisite: AP Statistics & AP Statistics Exam score of 3 or higher.
 

Stats 2: Beyond AP Statistics has three areas of study. First, students will learn advanced statistical procedures such as ANOVA, multiple regression analysis, non-parametric tests and Bayesian statistics. Topics will be presented in a broad variety of contexts such as biostatistics, political science, business and sport analytics. Second, students will conduct these analyses using the statistical coding platform RStudio. Third, students will plan and execute statistical studies proposed by members of the Westlake Community. Because of the maturity required to serve as statistical consultants, only students in grades 11-12 may enroll.

Credit: 1
Grade: 12
Prerequisite: Precalculus
Note: Graphing Calculator required

Calculus covers topics included in a one-semester college course. The course includes concepts and applications of differential and integral calculus. It moves at a slower pace than AP Calculus and will help prepare students for a college calculus course. It is a good choice for students who want to explore calculus without an emphasis on advanced algebra skills. The use of technology is integrated throughout the course.

Credit: 1
Grade: 11-12
Prerequisite: Precalculus or Precalculus Pre-AP
Note: Graphing Calculator required

Calculus AB covers topics included in a one-semester college course. This is a college level course which adheres to the syllabus of the College Board Advanced Placement program. The course includes concepts and applications of differential and integral calculus. The use of technology is integrated throughout the course. It prepares the college-bound student for possible advanced standing credit in calculus at the college level. Students enrolled in this course will be prepared for the AP Calculus AB exam in May.

Credit: 1
Grade: 11-12
Prerequisite: Precalculus or Precalculus Pre-AP
Note: Graphing Calculator required

Calculus BC covers topics included in a two-semester college course. This is a college level course which adheres to the syllabus of the College Board Advanced Placement program. This course is designed for the student who has displayed both exceptional mathematical talent and diligence in the study of all high school mathematics courses. It prepares the college-bound student for possible advanced standing credit in calculus at the college level. Students enrolled in this course will be prepared for the AP Calculus BC exam in May and will receive a sub-score for the AB portion of the exam in addition to their BC score.

Credit: .5
Grade: 11-12
Prerequisite: AP Calculus BC AND a minimum AP Calculus BC exam score of 3, 4, or 5
Note: Offered Fall Semester Only
Graphing Calculator required

This course is a one-semester course in vector calculus. Topics include vectors, partial derivatives, multiple integrals, vector fields, line integrals, surface integrals, Green’s Theorem, curl and divergence, and Stoke’s Theorem. Emphasis is placed on problem-solving techniques and applications to other disciplines such as physics, economics and statistics.  

Credit: .5
Grade: 11-12
Prerequisite: AP Calculus BC
Note: Offered Spring Semester Only
Graphing Calculator required

This course provides detailed study of vectors and vector spaces. Topics include solving n by n systems of equations; vector spaces; linear transformations of vector spaces; and eigenvectors and eigenvalues. The content of this course is equivalent to a one-semester college introductory linear algebra course.