Math Department

Philosophy

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Highlights

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Course Offerings

Below are the detailed descriptions of the Math courses being offered for the 2022-2023. Refer to the course offerings page for an overview of which courses are available for each grade level.

311 Foundations in Algebra – Year 1
1.0 credit
Prerequisite: Admissions Committee Recommendation

This is the first course in a two-course sequence covering the contents of Math 314 over a two-year period. The sequence is for students who need extra time to master the foundations of algebra. Assessment includes fall and spring semester exams. See calculator policy letter for calculator requirement.

Text: Larson et al. Algebra I. McDougal Littell, 2004. (ISBN: 0-618-25018-2)

312 Foundations of Algebra – Year 2
1.0 credit
Prerequisite: Math 311

This is the second course in a two-course sequence covering the contents of Math 314 over a two-year period. The sequence is for students who need extra time to master the foundations of algebra. Assessment includes fall and spring semester exams. See calculator policy letter for calculator requirement.

Text: Larson et al. Algebra I. McDougal Littell, 2004. (ISBN: 0-618-25018-2)

314 Algebra I
1.0 credit
Required Prerequisite: Admissions Committee Recommendation

This is the middle of three first-year algebra options, intended for students with good pre-algebra skills. Many students who take this course have studied algebra in middle school. Consistent with the standards published by the National Council of Teachers of Mathematics (NCTM), the focus is on developing analytical reasoning skills as well as sound computational proficiency. Assessment includes fall and spring semester exams. See calculator policy letter for calculator requirement.

Text: Larson et al. Algebra I. McDougal Littell, 2004. (ISBN: 0-618-25018-2)

315 Algebra I Analysis
1.0 credit
Prerequisite: Admissions Committee Recommendation

This is the highest of three first-year algebra options, intended for students with solid pre-algebra skills and the motivation to challenge themselves in our most demanding math sequence. Many students who take this course have done well in a middle school algebra course. This course introduces concepts at a more abstract level than Math 314, and includes more sophisticated examples and problems. Consistent with the standards published by the National Council of Teachers of Mathematics (NCTM), the focus is on developing analytical reasoning skills as well as sound computational proficiency. Assessment includes fall and spring semester exams. See calculator policy letter for calculator requirement.

Text: Larson et al. Algebra I. McDougal Littell, 2004. (ISBN: 0-618-25018-2)

319 Accelerated Geometry – One Semester
1.0 credit
Prerequisite: Algebra I Analysis or Department Approval

This modern course presents the fundamentals of geometry in both traditional (Euclidean) and analytic (coordinate-based) settings. The course introduces students to standard principles of logic and proof, but focuses as well on developing geometric intuition. Throughout the course, examples and problems reinforce skills from first-year algebra. Assessment includes a final exam. See calculator policy letter for calculator requirement.

Text: Larson et al. Geometry. McDougal Littell, 2004. (ISBN 10: 0-395-93777-9; ISBN 13: 978-0-395-93777-8)

320 Geometry
1.0 credit
Required Prerequisite: Any Algebra I sequence.

This modern course presents the fundamentals of geometry in both traditional (Euclidean) and analytic (coordinate-based) settings. The course introduces students to standard principles of logic and proof, but focuses as well on developing geometric intuition. Throughout the course, examples and problems reinforce skills from first-year algebra. Assessment includes fall and spring semester exams. See calculator policy letter for calculator requirement.

Text: Larson et al. Geometry. McDougal Littell, 2004. (ISBN 10: 0-395-93777-9; ISBN 13: 978-0-395-93777-8)

321 Algebra II
1.0 credit
Required Prerequisite: Geometry (319) or (320)

This course is one of two second-year algebra options, intended for students who have successfully completed Math 314 or the equivalent. Content is similar to Math 322 (see course description below) and includes a basic introduction to trigonometric functions and associated concepts. Treatment of most topics is less abstract in this course than in Math 322. Assessment includes fall and spring semester exams. See calculator policy letter for calculator requirement.

Text: Larson et al. Algebra 2. McDougal Littell, 2004. (ISBN: 0-618-25020-4)

322 Algebra II Analysis (H)
1.0 credit Honors
Prerequisite: Algebra I Analysis (315) and Geometry (319) or (320); or Department Approval.

This is the more advanced of two second-year algebra options, intended for students with the skills and motivation to challenge themselves in our most demanding math sequence. This course treats Algebra II concepts at a more abstract level than Math 321, and includes more sophisticated examples and problems. Treatment of trigonometry is more extensive in this course than in Math 321. Other topics include linear systems; polynomials and polynomial equations; radical expressions and equations; exponential, logarithmic, and rational functions; techniques for solving quadratic equations (factoring, completing the square, and the quadratic formula); laws of exponents; and complex numbers. Assessment includes fall and spring semester exams. See calculator policy letter for calculator requirement.

Text: Holliday, Cuevas, et al. Algebra 2. Glencoe-McGraw Hill, 2005. (ISBN: 0-07-865609-5) 23

331 Advanced Algebra & Trigonometry
1.0 credit
Prerequisite: Algebra II (321) or Algebra II Analysis (322)

This course provides a bridge between second-year algebra and college-level mathematics. The course focuses on analytic geometry, algebra, functions, and trigonometry, and revisits many Algebra II topics on a deeper level. The course also includes a sampling of topics in probability, statistics, and discrete mathematics. Treatment of topics in algebra and trigonometry is less abstract than in Math 336. Assessment includes fall and spring semester exams. See calculator policy letter for calculator requirement.

Text: Demana et al, Precalculus. Pearson Education, 2015. (ISBN 10: 0-13-353919-9; ISBN 13: 978-0-13-353919-6)

336 Pre-Calculus (H)
1.0 credit Honors
Prerequisite: Algebra II Analysis (322) or Department Approval

This course focuses on the topics and skills necessary to excel in college mathematics courses intended for science and engineering majors. Consistent with that focus, the course revisits many topics covered in Algebra II Analysis at a deeper level of abstraction and generality. A primary theme is acquiring a sound geometric and algebraic understanding of the concept of function. Topics include compositions and transformations, analytic geometry, circular trigonometric functions, polynomial equations, exponential and logarithmic functions, and conic sections. The course introduces the derivative, including simple applications. Assessment includes fall and spring semester exams. See calculator policy letter for calculator requirement.

Text: Demana et al, Precalculus. Pearson Education, 2015. (ISBN 10: 0-13-353919-9; ISBN 13: 978-0-13-353919-6)

340 AP Calculus (AB) (BC)
1.0 credit
Prerequisite: Pre-Calculus (336), or Department Approval

This course prepares students to take the Calculus AB Advanced Placement (AP) exam. It focuses on the mathematical tools needed to analyze quantities that change at variable rates. The course reviews concepts encountered in earlier courses and applies these concepts to various types of functions to determine their derivatives and integrals. Topics include properties of limits, derivatives, and the definite and indefinite integrals; exponential functions and the natural logarithm, including growth/decay applications; area under a curve, volumes of revolution, and integration techniques; the calculus of motion; and relevant special topics. Examples using the TI-83/TI-84 series-graphing calculator supplement the mathematical analysis. Assessment includes a fall exam. The AP Calculus exam is taken in lieu of a spring semester exam. See calculator policy letter for calculator requirement.

Text: Foerster. Calculus: Concepts and Applications. Key Curriculum Press, 1998. (ISBN: 1-55953-117-7) 24

343 Statistics
1.0 credit
Prerequisite: Algebra II or equivalent, open to Seniors only.

This course focuses on the major concepts and tools used to collect, analyze and draw conclusions from data. Students study all topics in the AP curriculum; motivated students completing this course will be prepared to take the AP test. Key topics include techniques used to recognize patterns and departures from patterns; planning a study with emphasis on data collection, modeling and validity of conjectures; probability; statistical inference; confidence levels; significance tests and errors; and distributions. The emphasis is on active learning and interdisciplinary connections. Assessment includes fall and springs semester exams. See calculator policy letter for calculator requirement.

Text: Yates et al. The Practice of Statistics, 3rd edition. W.H. Freeman and Company, 2008. (ISBN 10: 0-716-77309-0; ISBN 13: 978-0-71-677309-2)

Faculty

hartman

Mr. Paul Hartman

Department Chair phartman@smhscs.org

In 2019 St. Mary’s hired me to chair the Math/Engineering Department.  I was the last member of my family to come to St. Mary’s.  My wife and three children are St. Mary’s graduates.  I am a lifelong educator with 36 years of teaching experience.  Before coming to St. Mary’s, I taught for 24 years at Palmer High School, the last 12 as Math Department Chair.  Prior to coming to Colorado Springs, I taught in Alaska, Washington State, and the South Pacific as a Peace Corps volunteer.  My education includes a B.S. in Mathematics and a master's in math education both from the University of Washington.  In the State of Colorado I am certified to teach math and science.  Our family dog, Ozzy, joins in support of St. Mary’s and can be seen sporting a St. Mary’s T-shirt at home tennis matches.  Go pirates! 

2022-2023 courses: Algebra I/IA, AAT, Pre Calculus

smith

Mr. Caleb Smith

csmith@smhscs.org

I graduated from UCCS with a degree in mathematics. My family was military, but I've lived in Colorado most of my life. I've always been logically and mathematically minded, which influenced my hobbies. In high school, I went through the PLTW program as a student, and I'm excited to share those experiences as a teacher now. I love traditional games, and have a large board and card game collection. I'm a cradle Catholic and fell in love with the Church all over again in college. My confirmation saint is St. Jerome, but I also feel a strong connection with St. Hubert. I'm excited to be a part of the St. Mary's family and help spread my love of mathematics!

2022-2023 courses: Algebra IIA, AP Calculus, POE

clavenna

Mr. Tony Clavenna

tclavenna@smhscs.org

I am super excited to join the St Mary’s Faculty this year!  I graduated from the Air Force Academy and served almost 30 years in the Air Force.  I earned a bachelor’s degree in basic sciences and will teach aerospace engineering, math and personal finance. Prior to joining St Mary’s faculty, I taught Air Force Junior ROTC at Dodge City High School in Kansas.  My wife Mary Beth and I have been married for 30 years and we have 5 children (four are St Mary’s graduates!) and one Labrador mix dog, Rosie.  My hobbies include everything outdoors:  hiking, camping, skiing, sailing, running, playing and watching sports…. especially the Air Force Academy – Go Falcons!

2022-2023 courses: Accelerated Geometry, Geometry, Algebra II, Aerospace Engineering

kloenne

Mr. Mike Kloenne

mkloenne@smhscs.org

Mike Kloenne is the Project Lead the Way Engineering department chair and also a math department teacher.  He is a graduate of the University of Dayton (BS in Computer Science) and Golden Gate University (Master's in Business Administration).  Prior to teaching, he served 25 years as an officer in the United States Air Force.  Most of his time was spent in various intelligence and reconnaissance activities, flying as an Electronic Warfare Officer on the RC-135 aircraft.  He will be starting his 11th year of teaching at St. Mary's this August.  In addition to being a math and engineering teacher, he will be serving in a new role as the House System director.  He has been to all 50 states and 42 state high points.  

2022-2023 courses: Statistics, IED, EDD