Math Curriculum Guide

ALGEBRA I M 00725 – M 00726 AHD C 40 2 credits 2 terms Grades 9 - 12 Prerequisite: Pre-Algebra with "C" or above Algebra I provides a formal development of the algebraic skills and concepts necessary for students who will take other advanced college-preparatory courses. In particular, the instructional program in this course provides for the use of algebraic skills in a wide range of problem-solving situations. The concept of function is emphasized throughout the course. Topics include: (1) properties of real numbers, (2) solution sets, (3) basic operations with polynomials, (4) solving quadratic equations and systems, (5) use of exponents, and (6) introductory topics from statistics and probability. [Back]

ALGEBRA II M 00727 – M 00728 AHD C 40 2 credits 2 terms Grades 9 - 12 Prerequisite: Algebra I with "C" or above Algebra II is a course which expands on the topics of Algebra I and provides further development of the concept of a function. The expanded topics of the course include: (1) the theorems and algorithms of algebra, (2) polynomials and polynomial functions, (3) rational exponents, (4) the complex numbers, sequences, and series, (5) the properties and graphs of conic sections, (6) permutations and combinations, (7) matrices, and (8) exponential and logarithmic functions. [Back]

ALGEBRA IIA M 00729 – M 00730 AHD C 40 2 credits 2 terms Grades 9 – 10 Scheduling of the accelerated classes will depend upon freedom from conflict with other classes. [Back]

CALCULUS I APCC M 00751 – M 00752 – M 00753 AHD C 40 2 - 3 credits 2 - 3 terms Grade 12 Prerequisite: Algebra I, II, Geometry, & Pre-Calculus 76 Calculus is a course which provides students with the content that has been established by the College Board. Generally, topics include (1) limits, (2) continuity, (3) derivatives, (4) definite integrals, and (5) techniques of integration involving rational, trigonometric, logarithmic, and exponential functions. This course also includes applications of the derivative, the integral, and theory of calculus. The use of graphing technology is required. Students may choose to take the advanced placement Calculus AB exam. This increases the credits and terms to three (3). **Accelerated classes will be offered in Algebra II, Geometry, and Pre-Calculus. Scheduling of the accelerated classes will depend upon freedom from conflict with other classes. [Back]

DISCRETE MATHEMATICS M 00713 – M 00714 AHD C 40 2 credits 2 terms Grades 11 - 12 Prerequisites: Algebra II Discrete mathematics is an umbrella of mathematical topics. It is a course designed for students who will undertake higher-level mathematics in college that may not include calculus. Topics include (1) counting techniques, (2) matrices, (3) recursion, (4) graph theory, (5) social choice, (6) linear programming, and (7) game theory. Technology, such as computers and graphing calculators, should be used frequently. [Back]

GEOMETRY M 00732 – M 00733 AHD C 40 2 credits 2 terms Grades 9 - 12 Prerequisite: Algebra I with "C" or above Geometry provides students with experiences that deepen the understanding of shapes and their properties. Deductive and inductive reasoning as well as investigative strategies in drawing conclusions are stressed. Properties and relationships of geometric figures includes the study of (1) angles, (2) lines, (3) planes, (4) congruent and similar triangles, (5) trigonometric ratios, (6) polygons, and (7) circles and spatial drawings. An understanding of proof and logic is developed. Use of graphing calculators and computer drawing programs is encouraged. [Back]

GEOMETRY A M 00734 – M 00735 AHD C 40 2 credits 2 terms Grades 9 – 10 Prerequisite: Algebra I with “C” or above Scheduling of the accelerated classes will depend upon freedom from conflict with other classes. [Back]

INVESTIGATIVE GEOMETRY M 00711 – M 00712 2 credits 2 terms Grades 10 – 12 Prerequisite: Algebra I This course is a study of geometric concepts and applications. Emphasis is on an investigative study of basic properties of lines, angles, triangles, polygons, and circles as well as spatial relationships, inductive reasoning, and logical thinking. Drawing and interpreting planar and spatial phenomena, transformations, and geometric problemsolving are also included. [Back]

MATHEMATICS LAB M 00731 1 credit 1 term Grades 9 – 12 Mathematics Lab provides an opportunity for individualized instruction designed to help students successfully complete high-level work in mathematics. This course does not meet mathematics credit requirements for graduation in the State of Indiana, which requires four (4) credits, but does count for one of the five (5) credits required by the Vigo County School Corporation. [Back]

PRE-ALGEBRA M 00721 – M 00722 2 credits 2 terms Grades 9 – 12 Pre-Algebra provides the mathematical background, skills, and thinking processes necessary for the successfulcompletion of Algebra. Topics include: (1) whole numbers, (2) integers, (3) rationals, (4) decimals, and their applications, (5) number theory, (6) ratios, (7) proportions, (8) percents, (9) equations, (10) graphing, (11) square roots, and (12) appropriate geometric concepts. The instructional program of this course provides for the understanding and use of the concepts as well as their application through appropriate problem-solving situations. [Back]

PRE-CALCULUS M 00745 – M 00746 AHD C 40 2 credits 2 terms Grades 11 - 12 Prerequisites: Algebra I, II & Geometry with “C” or above Pre-Calculus blends together all of the concepts and skills that must be mastered prior to enrollment in a collegelevel calculus course. A functional approach provides for the integration of all of the concepts listed for the course in Trigonometry plus (1) the relationship of equations and graphs of linear, quadratic, and parametric equations, (2) translation of axes, and (3) locus and vectors. The course includes the theory of equations, exponential and logarithmic functions, matrices, and determinants. [Back]

PRE-CALCULUS A M 00747 – M 00748 AHD C 40 2 credits 2 terms Grades 11 – 12 Prerequisites: Algebra I, II & Geometry with “C” or above Scheduling of the accelerated classes will depend upon freedom from conflict with other classes. [Back]

PROBABILITY & STATISTICS M 00739 AHD C 40 1 credit 1 term Grades 11 - 12 | Prerequisites: Algebra II This course develops appreciation for, and skill in, applying statistical techniques in the decision-making process. Topics included are (1) methods of data collection, (2) organization of data, and (3) graphical techniques for exhibiting data together with measures of central tendency and variation. Basic laws of probability, sampling theory, hypothesis testing, and making inferences from samples are also included. Practical examples based on real experimental data are used throughout the course. Whenever possible, students should plan and conduct experiments or surveys and analyze the resulting data. The use of graphing calculators and computer programs is \encouraged. Students may choose to take the advanced placement exam. [Back]