S.T.E.M.

## MATHEMATICS

WHY STUDY MATH?

Mathematics reveals hidden patterns that help us understand the world around us. Now much more than arithmetic and geometry, mathematics today is a diverse discipline that deals with data, measurements, and observations from science; with inference, deduction, and proof; and with mathematical models of natural phenomena, of human behavior, and social systems. Employment of math occupations is projected to grow 26 percent from 2018 to 2028, much faster than the average for all occupations, which will result in about 47,700 new jobs. Growth is anticipated as businesses and government agencies continue to emphasize the use of big data, which math
occupations can analyze.

• 2012 Algebra I (ALG1)(03100500) 1 Credit
As presented in Grades K-8, the basic understandings of number, operation, and quantitative reasoning; patterns, relationships, and algebraic thinking; geometry; measurement; and probability and statistics are essential foundations for all work in high school mathematics. Students will continue to build on this foundation as they expand their understanding through other mathematical experiences including symbolic reasoning, functions, equations, and inequalities. Students use a variety of representations (concrete, pictorial, numerical, symbolic, graphical, and verbal), tools, and technology (including, but not limited to, calculators with graphing capabilities, data collection devices, and computers) to model
mathematical situations to solve meaningful problems.
Prerequisite: None

2021 Geometry (GEOM)(03100700) 1 Credit
As presented in Grades K-8, the basic understandings of number, operation, and quantitative reasoning; patterns, relationships, and algebraic thinking; geometry; measurement; and probability and statistics are essential foundations for all work in high school mathematics. Geometry consists of the study of geometric figures of zero, one, two, and three dimensions and the relationships among them. Students study properties and relationships having to do with size, shape, location, direction, and orientation of these figures. Geometry can be used to model and represent many mathematical and real-world situations. Students perceive the connection between geometry and the real and mathematical worlds and use geometric ideas, relationships, and properties to solve problems. Students use a variety of representations (concrete, pictorial, numerical, symbolic, graphical, and verbal), tools, and technology
(including, but not limited to, calculators with graphing capabilities, data collection devices, and computers) to solve meaningful problems by representing and transforming figures and analyzing
relationships.

2027 Mathematical Models with Applications (MTHMOD)(03102400) 1 Credit
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 non-mathematical situations. Students use a variety of representations (concrete, pictorial, numerical, symbolic, graphical, and verbal), tools, and technology
(including, but not limited to, calculators with graphing capabilities, data collection devices, and computers) to link modeling techniques and purely mathematical concepts and to solve applied problems.
Prerequisite: Algebra I
*DC refers to dual credit courses. Students earn college credit while earning high school credit.

2026 Calculus AB AP (APCALCAB)(A3100101) 1 Credit
Content requirements for Advanced Placement (AP) Calculus AB are prescribed in the College Board Publication Advanced Placement Course Description Mathematics. Calculus AB is primarily concerned with developing the students’ understanding of the concepts of calculus and providing experience with its methods and applications. The course emphasizes a multi-representational approach to calculus, with concepts, results and problems being expressed graphically, numerically, analytically, and verbally.
Prerequisite: Precalculus
Additional math courses listed on the TEA website may be available through the TxVSV and TLC.

2023 Algebra II (ALG2)(03100600) 1 Credit
Algebra II allows students to continue to build on the algebraic skills of analysis of data and the foundations of Algebra I. It shows a connection between algebra and geometry and illustrates how the
tools of one can be used to solve problems. Students use a variety of representations (concrete, pictorial, numerical, symbolic, graphical, and verbal), tools, and technology (including, but not limited to, calculators with graphing capabilities, data collection devices, and computers) to model mathematical situations to
solve meaningful problems.
Prerequisite: Algebra I

2034 Independent Study in Mathematics: College Algebra or Statistics DC* (INSTMTH2)(03102501)
½ Credit
This course includes the study of trigonometric functions of angles, radian measure, fundamental identities; addition, product, and half angle formulas, solution of triangles; polar coordinates; inverse
trigonometric functions, complex numbers. Students may be required to have a graphics calculator. Students receive dual credit with Stephen F. Austin State University.
Prerequisite: College Algebra; meet enrollment criteria of SFA.  *This course is taken only online in the Technology Learning Center (TLC).

2024 Precalculus (PRECALC)(03101100) 1 Credit
In Precalculus students use symbolic reasoning and analytical methods to represent mathematical situations, to express generalizations, and to study mathematical concepts and the relationships among them. Students use functions, equations, and limits as useful tools for expressing generalizations and as means for analyzing and understanding a broad variety of mathematical relationships. Students use both of these to represent and connect ideas in geometry, probability, statistics, trigonometry, and calculus and to model physical situations. Students use a variety of representations (concrete, pictorial, numerical, symbolic, graphical, and verbal), tools, and technology (including, but not limited to, calculators with graphing capabilities, data collection devices, and computers) to model functions and equations and solve real-life problems.