Math Department Chair and Teacher

phartman@smhscs.org

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# MATH

## Philosophy

## ALGEBRA I

## GEOMETRY - required

## ALGEBRA II - required

## MATH ELECTIVES

## FACULTY

### Mr. Paul Hartman

### Mr. Tony Clavenna

### Mr. Mike Kloenne

### Mr. Caleb Smith

We believe that all students must engage in challenging and meaningful mathematics to meet the demands of today and the future. We are devoted to developing students who are critical thinkers and problem solvers who can reason logically and ethically, raise questions, persevere, and apply those skills in real-world situations. The focus of the department is for students to grow in their understanding of mathematical skills and concepts and be well-prepared to thrive in college, career and life.

“Mathematics is the language with which God has written the universe.”

– Galileo Galilei

**311 FOUNDATIONS IN ALGEBRA – YEAR 1 **

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.

**312 FOUNDATIONS IN ALGEBRA – YEAR 2 **

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.

**314 ALGEBRA I **

This is 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.

**315 ALGEBRA I ANALYSIS **

This is 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.

**320 GEOMETRY **

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.

**319 ACCELERATED GEOMETRY **

Accelerated Geometry covers the same amount of material as Geometry (320) but at a much faster pace. 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.

**321 ALGEBRA II **

This course is intended for students who have successfully completed Math 314 or the equivalent. 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. It also 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.

**322 ALGEBRA II ANALYSIS (H) **

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.

**331 ADVANCED ALGEBRA AND TRIGONOMETRY **Grade: Senior

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.

**336 PRE-CALCULUS (H) **

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.

**340 AP CALCULUS (AB/BC)**

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.

**343 STATISTICS**

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 spring semester exams. See calculator policy letter for calculator requirement.

**745 BUSINESS AND PERSONAL FINANCE***Grade: * Freshman, Sophomore, Junior, Senior*Prerequisite:* None*Length:* Semester*Credit: * 0.5

Students examine, understand, and practice how personal financial management affects their daily lives in the area of banking, investments, credit, budgeting, insurance, and income taxes. Assessment includes both in-class exams and various projects including a career planning lab, a lab which includes creating financial goals, a budget, finding an apartment, paying monthly bills and expenses and filing a tax return. Students learn about business planning, ownership, financing and accounting.

Math Department Chair and Teacher

phartman@smhscs.org

Math & Engineering Teacher

tclavenna@smhscs.org

Engineering Department Chair and Math & Engineering Teacher

mkloenne@smhscs.org

Math & Engineering Teacher

csmith@smhscs.org