The math department at Columbus North is committed to:

• using research-based teaching practices recommended by the National Council for Teachers of Mathematics (NCTM)

• encouraging students to be creative problem solvers

• helping students build 21st century skills such as communication, teamwork, and technology

• offering a wide variety of courses to meet the needs of each learner

• teaching with joy and enthusiasm

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This is the first math course required of a Core 40 diploma. This class extends the algebra studied in middle school. Students will learn to solve linear and quadratic equations. Students will graph and interpret graphs of lines and parabolas. A scientific (not graphing)  calculator is required.

This course takes geometry concepts studied in middle school to a higher level. Topics include angles, lines, planes, and shapes. Students will also study 3-dimensional solids and right triangle trigonometry. There is a strong emphasis on reasoning as students prove geometric properties. Students will use geometry software and spreadsheets. Note: May be taken concurrently with 11303 Algebra 2 with teacher recommendation or department chair permission, however, students interested in taking Algebra 2 and Geometry concurrently are encouraged to take the block class (11312 and 11313).

This course provides an option for students who are “doubling up” in Geometry and Algebra 2. Geometry is completed during the first semester and Algebra 2 is completed during the second semester. This class takes two periods each semester. The reason for “doubling up” is to prepare students beginning with Algebra 1 freshman year to take an AP or dual credit math elective dng their senior year. This plan requires strong math skills and interest in mathematics. It also requires good study skills. The curriculum is identical to 11302 Geometry and 11303 Algebra 2. A TI83+ or TI84 graphing calculator will be required for second semester.  (This course may bne taken by freshman who had Algebra 1 in 8th grade with department chair approval.)

This is a challenging geometry course. It is enriched and faster paced than the other geometry courses. A strong emphasis will be placed on student inquiry and reasoning. Students will tackle challenging problems and complete in-depth investigations. Geometric computer software will be used extensively and spreadsheets will be incorporated as a problem-solving tool.

This course adds to the algebra learned in Algebra 1. Topics include absolute value, quadratic, polynomial, logarithmic and exponential functions. The course also covers algebraic fractions, sequences and series. Students apply the math to real situations. Communication and reasoning are important. This course is more theoretical and abstract in its approach than 11104. This theory and abstraction is important for students planning to take Precalculus.  A TI83+ or TI 84 graphing calculator is required.

This course adds to the algebra learned in Algebra 1. Topics include absolute value, quadratic, polynomial, logarithmic and exponential functions. The course also covers algebraic fractions, sequences and series. Students apply the math to real situations. This class is faster paced and more challenging than the other Algebra 2 options.  Communication and reasoning are important. A TI83+ or TI 84 graphing calculator is required.

This course is for students who will be taking calculus in high school or college. Precalculus is especially appropriate for students planning to major in a STEM field (Science, Technology, Engineering, or Math). The course centers on the study of functions. This includes polynomial and rational functions. It also includes exponential, logarithmic, and trigonometric functions. To emphasize real-world connections, data analysis will be incorporated throughout the course. Verbal and written communication will be emphasized along with mathematical reasoning, and problem solving. This course includes all of the content of the one semester Trigonometry course, along with additional standards.  A TI83+ and TI84 graphing calculator is required

This course is for students who will be taking AP Calculus. Pre- calculus is especially appropriate for students planning to major in mathematics, engineering, computer science or science related fields. The course centers on the study of functions. This includes polynomial and rational functions. It also includes exponential, logarithmic, and trigonometric functions. Parametric equations, polar coordinate equations, and sequences, and series are also included. To emphasize real-world connections, data analysis will be incorporated throughout the course. Verbal and written communication will be emphasized along with mathematical reasoning, and problem solving. A TI83+ and TI84 graphing calculator is required. This course may be offered for 6 semester hours of credit as M136 College Algebra and M137 Trigonometry with Analytic Geometry through Ivy Tech Community College.

This course will reinforce mathematics procedures and concepts from algebra, geometry , and statistics in real-world contexts that deepen students’ understandings.  This course emphasizes understanding of mathematics concepts rather than just memorizing procedures. Math Ready students learn the context behind procedures and understand why to use a certain formula or method to solve a problem. By engaging students in real-world applications, Math Ready develops critical thinking skills that students will use in college and their careers.

Note that Math Ready is not designed to prepare students for advanced mathematics in STEM majors.  This course covers some trigonometry topics, but does not satisfy the trigonometry requirement for admission into some colleges and universities.

This course extends the study of trigonometry that was begun in Geometry. The study of trigonometry is extended to triangles beyond right triangles and to circular functions. The graphs of all six trigonometric functions and their inverses will be included. This course prepares students for college placement tests and post-secondary study in any technical field. Technology is an integral part of this course and a TI83+ graphing calculator will be required. The topics in this one semester class are also included in the second semester of Precalculus. A TI83+ and TI84 graphing calculator is required.

Finite Mathematics prepares students for the mathematics used in social science and business. It prepares students for college statistics. This course is a good option for students planning to pursue most college majors. This includes social science, business, and humanities majors. The course follows the curriculum of M118, Finite Mathematics, from Indiana University. This includes linear regression, matrices, linear programming, and probability. There is an emphasis on applications and mathematical modeling. A TI83+ or TI84 graphing calculator is required. This course may be offered as M135 Finite Mathematics from IVY Tech Community College for 3 sem. hrs. credit fulfilling a business major requirement for most Indiana Colleges.

This is a rigorous college level calculus course that is the basis for many fields of study in college including the further study of mathematics or science. Topics include limits, continuity, derivatives and integrals. An emphasis is placed on graphical interpretation and understanding of calculus concepts and on the application of those concepts in problems from many fields of study. Calculus AB is equivalent to a first semester college calculus course. Choosing between AP Calculus and AP Statistics should be based on possible college majors. For some areas of study like social sciences and humanities,  Statistics is more appropriate. For other areas like science, technology, or engineering, Calculus is more appropriate. For college majors in business, Calculus, Statistics, and Finite Mathematics are required at the college level.  All students enrolled in this class will take the AP exam in May.

Calculus BC is a faster-paced alternative to Calculus AB; common topics require a similar depth of understanding. The curriculum covered in Calculus BC will equate to a full year of a typical college calculus course. The course will emphasize a multi-representational approach to calculus, with concepts, results and problems being expressed geometrically, numerically, analytically, and verbally. The connections among these representations will be emphasized. All topics from AP Calculus AB will be included along with more advanced topics.  Choosing between AP Calculus and AP Statistics should be based on possible college majors. For some areas of study, like social sciences and humanities, Statistics is more appropriate. For other areas like science, technology, or engineering, Calculus is more appropriate. AP Calculus and AP Statistics may be taken concurrently. For college majors in business, both Calculus and Statistics are required at the college level. Successful completion of the Advanced Placement Calculus Test in the spring can result in one or two semesters of college credit from many colleges or universities. Technology is an integral part of this course and a TI83+ graphing calculator will be required.  All students enrolled in this class will take the AP exam in May.

Multivariable Calculus continues the study of Calculus by expanding many of the topics covered in AP Calculus BC to three or more variables. Topics include multivariable functions, vectors, differentiation, integration, and different coordinate systems include polar, cylindrical, and spherical, and vector Calculus.  This class also includes work with Maple software.  A score of 4 or 5 on the Calculus BC Advanced Placement Exam is required for enrollment in this course.

This course follows the AP Statistics curriculum and all students will take the AP Statistics test in the spring with the opportunity of earning up to three hours of college credits. Statistics is used in the social sciences and natural sciences. It is also used in business and journalism. This course should be of practical use for anyone considering a career in any of those areas as well as science, engineering, medicine, sociology, economics, education and many other fields. For many college majors, this course is as appropriate as or even more appropriate than Calculus. The course may be taken concurrently with Precalculus or Calculus. A TI83+ or TI84 graphing calculator is required.  All students enrolled in this class will take the AP exam in May.

The course focuses on programming fundamentals with advanced topics being presented in the second semester.  Students will learn the basis of Java, data structures, algorithms and object oriented programming. Students will use programming as a problem-solving tool as they subdivide programs into manageable parts and search for creative and logical solutions to programming problems. This course will cover the curriculum tested on the AP Computer Test which  students may opt to take at the end of year 1 or at the end of year 2. In years 2 and 3 students will advance their programming skills by working on advanced programming projects with multiple programmer.

AP Computer Science Principles introduces students to the essential ideas of computer science with a focus on how computing can impact the world. The rigorous course develops computational thinking skills, while also engaging in the creative aspects of the field. Students will learn to analyze data, information or knowledge represented for computational use; develop and analyze algorithms; create technology that has a practical impact; and gain a broader understanding of how computer science impacts people and society. The AP exam for this course consists of electronic submission of artifacts created throughout the year as well as a multiple choice test at the end of the year.