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Department of Mathematics

The Math Department has established many courses and various levels of these courses to meet the individual needs and ability levels of all students. Realizing that math skills permeate all facets of life, it is essential that each student develop his or her potential and feel confident and successful when applying math concepts.

The department facilitator is Ruth Roell.

Department of Mathematics Course Offerings: 2012/13

703s Algebra Enrichment

Grade 9-12/ Semester/ Elective
Algebra Enrichment provides the mathematical background, skills, and thinking processes necessary for the successful completion of Algebra I. Topics include whole numbers, integers, fractions, decimals and their applications, number theory, ratios, proportions, percents, equations, graphing and 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. Algebra Enrichment must be taken concurrently with Algebra I or another math class. This class may be taken multiple semesters and may be required for students who do not pass standards for the Algebra I End of Course Assessment (ECA).

715 Algebra I

Grade 9-10/ Two Semesters/ Required unless ECA proficiency in middle school has been met
Prerequisite: Pre-Algebra or placement test score or grade school recommendation
Algebra I formalizes and extends the mathematics that students learned in the middle grades. Five critical areas comprise Algebra I: Relations and Functions; Linear Equations and Inequalities; Quadratic and Nonlinear Equations; Systems of Equations and Inequalities; and Polynomial Expressions. The critical areas deepen and extend understanding of linear and exponential relationships by contrasting them with each other and by applying linear models to data that exhibit a linear trend. Students engage in methods for analyzing, solving, and using quadratic functions. The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

720 Algebra I: Honors

Grade 9/ Two Semesters/ Required unless ECA proficiency in middle school has been met
Prerequisite: Placement test score or grade school recommendation
Honors Algebra I is an accelerated, more in-depth treatment of material taught in Academic Algebra I with a higher degree of difficulty in problem solving requirements. Students will display mastery of the following topics: data analysis, graphing, inequalities, radicals, linear functions, quadratic functions, exponential functions, polynomial functions and rational functions.

735 Geometry

Grade 9-11/ Two Semesters/ Required
Prerequisite: Algebra I and/or Algebra I ECA proficiency and guidance/teacher recommendation
Geometry formalizes and extends students. geometric experiences from the middle grades. Students explore more complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments. Six critical areas comprise the Geometry course: Congruency and Similarity; Measurement; Analytic Geometry; Circles; and Polyhedra. The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

740 Geometry Honors

Grade 9-10/ Two Semesters/ Required
Prerequisite: Algebra I and/or Algebra I ECA proficiency and guidance/teacher recommendation
Honors Geometry is an accelerated course in Euclidean geometry. This course covers all the material in Academic Geometry plus coordinate geometry and some solid geometry.

755 Algebra II

Grade 11-12/ Two Semesters/ Required
Prerequisite: Geometry or teacher recommendation
Algebra II emphasizes the structure of the number system. It includes a review of Algebra I, increases skill and speed in handling processes, and provides familiarity with advanced principles and methods. Exponents and logarithms are covered in this course. The expanded topics of the course include: the theorems and algorithms of algebra, polynomials and polynomial functions, rational exponents, complex numbers, sequence and series, matrices, and exponential and logarithmic functions. A graphing calculator is required.

760 Algebra II: Honors

Grade 10-11/ Two Semesters/ Required
Prerequisite: Honors Geometry and teacher recommendation
Honors Algebra II emphasizes the structure of the number system. It includes a review of Algebra I, increases skill and speed in handling processes, and provides familiarity with advanced principles and methods. Exponents and logarithms are covered in this course. The expanded topics of the course include: the theorems and algorithms of algebra, polynomials and polynomial functions, rational exponents, complex numbers, sequence and series, matrices, and exponential and logarithmic functions. This course is an accelerated, more in-depth treatment of the material taught in Algebra II. A graphing calculator is required.

765 Statistics AP

Grade 10-12/ Two Semesters/ Elective
Prerequisite: Honors Algebra II and teacher recommendation
Cost: $75

Statistics Advanced Placement introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students will be exposed to four broad conceptual themes: exploring data, sampling and experimentation, anticipating patterns, and statistical inferences. Projects and work outside of the classroom will be required, and students are required to take the AP exam in May. This course is an advanced placement course based on content established by the College Board. A graphing calculator is required.

770s Discrete Mathematics

Grade 11-12/ Semester/ Required
Prerequisite: 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 and do not plan on majoring in a math or science field. Topics include: (1) counting techniques, (2) matrices, (3) recursion, (4) graph theory, (5) social choice, (6) linear programming, and (7) game theory.

775s Probability & Statistics

Grade 11-12/ Semester/ Required
Prerequisite: Algebra II
Probability & Statistics is designed for students wishing to take an applied math course. Topics studied include Venn diagrams, combinatorics, data gathering, statistical measurements, simple to complex probability, sampling, and statistical distributions. Whenever possible, students will plan and conduct experiments or surveys and analyze the resulting data. A graphing calculator is required.

777s Trigonometry

Grade 11-12/ Semester/ Required
Prerequisite: Algebra II and teacher recommendation
Trigonometry provides students with the skills and understandings that are necessary for advanced manipulation of angles and measurement. Trigonometry is a class for those who want to become familiar with basic trigonometric ideas before entering college. It covers diverse topics such as imaginary numbers through an investigation of complex numbers and polar coordinates. A graphing calculator is required.

785 Pre-Calculus: Honors

Grade 11-12/ Two Semesters/ Required
Prerequisite: Honors Algebra II and teacher recommendation
Honors Pre-Calculus is a synthesis and expansion of algebraic and geometric ideas previously learned. Students will study college algebra topics which include natural logarithms, sequences and series, vectors and conic sections. One semester of this course is devoted to trigonometry with emphasis on triangular relationships, identities, and equations. A graphing calculator is required.

795 Calculus (AB): AP

Grade 12/ Two Semesters/ Elective
Prerequisite: Honors Pre-Calculus and teacher recommendation
Cost: $75

Calculus Advanced Placement presents a rigorous study of all functions and their limits, derivatives, integrals, and the corresponding applications of each. Students can expect at least one hour per night of individual study. This course is an advanced placement course based on content established by the College Board. Students are required to take the AP exam in May. A graphing calculator is required.

The Archdiocesen High School of the Indianapolis North Deanery

5885 Crittenden Avenue, Indianapolis, In 46220
P: 317.251.1451 F: 317.251.3648
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