Mathematics Department

Transfer Goals; Students will:
  • Logically approach and solve problems and critique logical arguments.
  • Use mathematics as a modeling and problem-solving tool with sufficient emphasis placed on technology to allow conceptual understanding.
  • Develop an appropriate mathematical vocabulary to be able to have proper written and oral dialogue in sciences and mathematics.
  • Develop a sound fundamental base of knowledge in arithmetic, algebra, and geometry.
  • Demonstrate confidence and perseverance as competent problem solvers
  • Correctly perform mathematical operations and display the discipline and number sense to interpret and verify the solution.
NCTM Mathematical Practices: 
  • Make sense of problems and persevere in solving them
  • Reason abstractly and quantitatively
  • Construct viable arguments and critique the reasoning of others
  • Model with mathematics
  • Use appropriate tools strategically
  • Attend to precision
  • Look for and make use of structure
  • Look for and express regularity in repeated reasoning

Mathematics

  • 6th Grade Math

    In this course students gain mastery of mathematical operations with whole numbers, fractions, and decimals. Students learn about negative numbers and are introduced to ratios and proportional reasoning, algebra, geometry, probability, and statistics.
  • 7th Grade Math

    In this course students gain more experience in computation and problem-solving, reinforcing their understanding of mathematical structure and reasoning.  Students will explore solving for unknown values in a myriad of topics. Algebra concepts, particularly linear functions, are investigated and applied, and geometry concepts are woven throughout the course. 
  • 7th Grade Math Advanced

    In this course students gain more experience in computation and problem-solving, reinforcing their understanding of mathematical structure and reasoning.  Students will explore solving for unknown values in a myriad of topics. Algebra concepts, particularly linear functions, are investigated and applied, and geometry concepts are woven throughout the course. Advanced courses are not accelerated, but will dive into the curriculum in greater depth. This course is for the motivated mathematician who enjoys critically thinking, problem-solving, and exploring various concepts. Placement is based on departmental approval.
     
  • Advanced Math Topics

    This semester or full year course is for students who have demonstrated exceptional ability and interest in mathematics and who are interested in pursuing the subject beyond the Advanced Placement level.  Students will be taught topics in a range of subject areas that will change depending upon the semester including: linear algebra, multivariable calculus and engagement in in-depth discussion, application, and theory.  Prerequisites: AP Calculus AB. Placement is based on departmental approval
  • Advanced Topics in Geometry (H)

    In this course students learn about logical systems and then use this knowledge to develop classical Euclidean geometry as a logical system.  This class will particularly emphasize proof-based mathematical reasoning to study the relationships between various geometric objects. Prerequisite: Algebra I.   Placement is based on departmental approval
  • Algebra 1 - MS

    This course guides students in the development of critical thinking and algebraic problem solving skills which provide the foundation for real world problem-solving.  Students will explore manipulating and representing linear functions, systems of equations, inequalities, exponential functions, polynomials, quadratic functions, statistics and probability. 
  • Algebra I

    This course guides students in the development of critical thinking and algebraic problem solving skills which provide the foundation for real world problem-solving.  Modeling and problem solving are at the heart of the curriculum. Students must be able to solve practical problems, representing and analyzing the situation using symbols, graphs, tables and diagrams. 
  • Algebra I Advanced - MS

    This course guides students in the development of critical thinking and algebraic problem solving skills which provide the foundation for real world problem-solving.  Students will explore manipulating and representing linear functions, systems of equations, inequalities, exponential functions, polynomials, quadratic functions, statistics and probability. Advanced courses are not accelerated, but will dive into the curriculum in greater depth. This course is for the motivated mathematician who enjoys critically thinking, problem-solving, and exploring various concepts. 
    Placement is based on departmental approval.
     
     
  • Algebra II

    This course will reinforce students’ knowledge from Algebra 1 and build skills involving problem solving, math modeling, reasoning and communicating using different methods.   Students will study operations with linear, quadratic, polynomial, exponential, logarithmic, trigonometric functions. This course also includes statistics, probability, and a focus on graphing with/out technology. Prerequisites: Algebra I, Geometry
  • Algebra II Honors

    This honors course is a highly accelerated course that will reinforce students’ knowledge from Algebra 1 and build skills in problem solving, math modeling, reasoning and comFmunicating using different methods.   Students will study operations with linear, quadratic, polynomial, exponential, logarithmic, trigonometric and rational functions. This course also includes statistics, probability and a focus on graphing with/out technology. Prerequisites: Algebra I, Geometry Placement is based on departmental approval.
  • AP Calculus BC

    This Advanced Placement course is an elective for students who have successfully completed Pre-Calculus Honors and have demonstrated the ability and commitment to study mathematics at the college level. In addition to those topics covered in AP Calculus AB, this intense course will include L'Hopital's Rule, improper integrals and partial fractions, infinite series, and the calculus of parametric, polar, and vector functions. Prerequisite: Pre-Calculus Honors.  Placement is based on departmental approval
  • AP Statistics

    This course is an elective for students who have completed Pre-Calculus or are concurrently enrolled in Pre-Calculus and have demonstrated the ability and commitment to study mathematics at the college level. Topics covered will include data analysis, sampling and experimental design, probability, and statistical inference. Prerequisite : Pre-Calculus.  Placement is based on departmental approval.
  • Calculus

    An elective for students who were successful in Pre-Calculus and have demonstrated the ability and commitment to study mathematics at the college level. Topics covered will include limits, derivatives, indefinite integrals, definite integrals, and applications to velocity, acceleration, area, volume, related rates, and exponential growth. Prerequisites: Pre-Calculus. Placement is based on departmental approval.
  • College Algebra

    This course is only allowed to be taken if recommended by a teacher.

    This full year, one credit course is designed for students who will benefit from a comprehensive review of the fundamental concepts of Algebra.

    Topics covered in the course will/may include : Pre-Algebra (Intro to Set Theory); Intervals and Rays; Opposites and Absolute Value; Operations on Real Numbers; Review of Fractions; Exponents and Roots; Order of Operations; Properties of Real Numbers; Properties of Equality; Terms and Simplifying Expressions; Mathematical Modeling; Equations of Inequalities, Polynomial and Rational Functions; Systems of Equations and Inequalities; Conic Sections; Functions and Graphs; Exponential and Logarithmic Functions; Intro to Matrices; Sequences and Series.

    Students will complete a number of projects and will be evaluated using variety of traditional and alternative asessment tools.
  • Corporate and Investment Finance

    The course objective is to provide students with a solid foundation and broad based understanding of the principles and techniques of Corporate & Investment Finance and applying them to the main decisions faced by financial and investment managers. The corporate finance concepts are immediately applicable to all firms, both large and small, privately run or publicly traded and involved in any industry – whether manufacturing, retail or service. Topics covered include an introduction and overview of Finance; an accounting review of Income Statements and Balance Sheets; the Flow of funds and the Statement of Cash Flows; Financial Statement Analysis; Strategic Financial Management; Time Value of Money – Basic & Advanced Topics; Financial Securities; Valuation of Bonds & Stocks and the Cost of Capital; Capital Budgeting - Basics and Advanced topics; an introduction to Trading; and Risk-Return Trade-offs. Prerequisite (or co-requisite with approval by teacher): Pre-Calculus
  • Geometry

    This course guides students through Euclidean geometry with a focus on problem solving, reasoning and communicating, representing and connecting, and seeing patterns and generalizing.  Plane, coordinate, and 3-dimensional geometries are studied, and algebra is used as a tool in applying new facts. Prerequisites: Algebra I
  • Geometry Honors

    In this course students learn about logical systems and then use this knowledge to develop classical Euclidean geometry as a logical system.  This class will particularly emphasize proof-based mathematical reasoning to study the relationships between various geometric objects. Prerequisite: Algebra I.   Placement is based on departmental approval
  • Pre-Calculus

    This course prepares students for a rigorous Calculus sequence and includes a survey of algebraic and transcendental functions, a deeper dive into trigonometry, polar coordinates, vectors, sequences, series, induction, limits, and continuity. Students also complete a year-long study of graphing techniques. Prerequisite: Algebra II
  • Pre-Calculus Honors

    This honors course is an important bridge between Algebra II and Calculus. Honors Pre-Calculus equips the student with the tools necessary to succeed in higher mathematics. Topics such as functions, families of graphs, logarithms, trigonometric functions and identities, systems of equations and inequalities, analytic geometry, basics of linear algebra, and the introduction to AP Calculus A are studied in-depth. Students are challenged to show their proficiency both with and without the use of a graphing calculator. In addition, students deal with challenging applications and problem solving and must be able to communicate orally and symbolically about mathematics.  Prerequisite: Algebra II.  Placement is based on departmental approval.

Departments

Department Faculty

MISSION: TMI provides an exceptional education with values based on the teachings of Jesus Christ that challenge motivated students to develop their full potential in service and leadership.

NOTICE OF NONDISCRIMINATORY POLICY AS TO STUDENTS
Texas Military Institute (dba TMI Episcopal) admits students of any race, color, national and ethnic origin to all the rights, privileges, programs, and activities generally accorded or made available to students at the school. It does not discriminate on the basis of race, color, national and ethnic origin in administration of its educational policies, admissions policies, scholarship and loan programs, and athletic and other school-administered programs.
TMI Episcopal
20955 W. Tejas Trail
San Antonio TX 78257
phone (210) 698-7171
fax (210) 698-0715