# Math Department

The Mathematics Department offers courses of varying levels of complexity to meet students’ needs to increase their problem solving skills, to prepare them for advanced education and future careers, and to develop their mathematical competencies and critical thinking. After a student has received thirty credits in mathematics to meet graduation requirements, there are various courses the students can pursue to meet their future needs.

Students will start their mathematics course progression based on their placement. This placement is determined by the student’s score on the Math Placement Exam, which students take during the spring of their eighth-grade year in conjunction with the placement recommendation from their middle school teacher. At some points along the way, students who have a strong aptitude for math and enjoy the subject may take two courses concurrently. Be advised that this would incur a large amount of nightly homework by doing so, though, and teacher permission is required for doubling up.

Due to the sequential nature of mathematics in general, students need to successfully complete the material in a course before progressing to the next level. Teachers will make individual recommendations to students for course registration based on current academic performance. If you have a question about which course for which to register, please see your current Math teacher.

### Courses

- Algebra Essentials
- Algebra I Fundamentals
- Algebra I
- Geometry Fundamentals
- Geometry
- Algebra II Fundamentals
- Algebra II
- Advanced Math
- Trig/Stats
- AP Statistics
- Pre-Calculus
- AP Calculus (AB)
- PACE: AP Calculus (BC)

### Stories about Math

#### How paper airplanes help students in AP Statistics

To gather a set of data for real-life use of statistics, students in Brianna Golka’s AP Statistics turned to … paper airplanes.

#### Results and pictures from UNL Math Day

Results and pictures from UNL Math Day From the UNL Math Day at the University of Nebraska – Lincoln: The PROBE is a 25-question, 60-minute,

#### Math team earns trophy at competition

The Pius X math team brought home a team trophy at a recent Problem Solving Contest at the University of Nebraska Omaha.

#### Math campers build on logic, problem-solving skills

Every Wednesday morning this summer Pius X’s Math Club hosted over 60 area Catholic school 6th-9th graders to problem solve, ending each morning playing logic-based

## Course Descriptions

**ALGEBRA ESSENTIALS** – 9, 10, 11, 12 – (Yr. – 10 credits)

Algebra Essentials is designed to be taken along with Algebra I Fundamentals. It will cover basic skills required to be successful in all
high school math courses. Algebra Essentials will also provide extra practice on skills learned in Algebra I Fundamentals. All homework will be done in class.**ALGEBRA I FUNDAMENTALS** – 9, 10, 11, 12 – (Yr. – 10 credits)

Algebra I Fundamentals is offered for the student who desires a basic knowledge of algebra and who historically has struggled in math. Algebra I Fundamentals will fulfill the college entrance requirements of Algebra I. This course, however, is not recommended for those

students anticipating college mathematics. Daily homework should be expected.

**ALGEBRA I** – 9, 10, 11, 12 – (Yr. – 10 credits)

The goal of Algebra I is to offer traditional algebra content as a foundation for advanced math courses. It will provide average and above average students with a transition from the concrete elementary mathematics to the abstract thinking of algebra and will engage students in problem-solving strategies. It will enable students to become proficient with rational polynomial expressions and quad

ratic equations. Daily homework should be expected.

**GEOMETRY FUNDAMENTALS** – 10, 11, 12 – (Yr. – 10 credits)

Geometry Fundamentals is offered for the student who desires a basic knowledge of geometry and who historically has struggled in math. Geometry Fundamentals will fulfill the college entrance requirements of geometry. This course, however, is not recommended for those s
tudents anticipating college mathematics. Daily homework should be expected.**GEOMETRY** – 9, 10, 11, 12 – (Yr. – 10 credits)

##### [Prerequisite: Algebra I Fundamentals with Teacher Permission or Algebra I]

Geometry is concerned about “how” and “why” you arrive at answers to problems, along with “what” the answer is. This step-by-step thinking process is applicable to the problem solving and thinking processes required in everyday applications. The course includes constructions, proofs, and study of the properties of basic polygons. Daily homework should be expected.**ALGEBRA II FUNDAMENTALS** – 11, 12 – (Yr. – 10 credits)

Algebra II Fundamentals follows Geometry Fundamentals and fulfills the college entrance requirement of Algebra II. It is designed for

students who are not prepared for the in-depth study of the Algebra topics covered in the regular Algebra II. Juniors in Algebra II Fundamentals will take Advanced Math during their senior year. Daily homework should be expected.

**ALGEBRA II** – 10, 11, 12 – (Yr. – 10 credits)

##### [Prerequisite: Geometry Fundamentals with Teacher Permission or Geometry]

Algebra II offers an in-depth continuation of the traditional first year algebra course and progresses into the study of radicals, functions, complex numbers, polynomials, conic sections, sequences, progressions, probability, logarithms, and right triangle trigonometry. With permission, sophomores may take Algebra II concurrently with Geometry to prepare them to take calculus as seniors. Algebra II is strongly recommended for college-bound students. Daily homework should be expected.**AP STATISTICS** – 11, 12 – (Yr – 10 credits)

##### [Prerequisite: Algebra II]

This course introduces students to the major concepts and tools for collecting, analyzing and drawing conclusions from data with the goal of understanding the fundamental concepts of statistics. Real situations are emphasized. Students will design, conduct, and report on their own studies. The AP Statistics exam will be offered in May. Daily homework should be expected. Graphing calculator required. TI 83+ or TI 84 series is recommended.**TRIGONOMETRY AND STATISTICS** – 11, 12 – (Yr. – 10 credits)

This year-long course will start with right-triangle trigonometry, progress into non-right triangle trigonometry, and then cover the unit circle as well as all of the properties, identities, graphs and applications of the six trigonometric functions. The second focus of the course will be an introduction into statistics, data collection, and data analysis. This will include probability basics and an emphasis of applying concepts to real-life scenarios. Students will complete several projects. Daily homework throughout the year should be expected. Graphing calculator required. TI 83+ or TI 84 series is recommended. **PRE-CALCULUS** – 11, 12 – (Yr. – 10 credits)

##### [Prerequisite: Algebra II]

Pre-Calculus Mathematics is the study of trigonometric, polynomial and other functions and the fundamentals for calculus. A major emphasi s will be placed on using the graphing calculator to explore these functions. This course is recommended for students who plan to major in science, math, engineering, or math-related fields, and will be taking Calculus in college. Daily homework should be expected. Graphing calculator required. TI 83+ or TI 84 series is recommended.**ADVANCED MATH** – 12 (11th with Teacher Permission) – (Yr. – 10 credits)

##### [Prerequisite: Algebra II or Algebra II Fundamentals (Not available to students who have completed Pre-Calculus)]

Students will review their Algebra skills and examine a variety of topics such as logical reasoning, statistical reasoning, standard problem-solving, modeling, probability, discrete mathematics, ACT preparation, and other topics. Daily homework should be expected.**AP CALCULUS** – 12 (11th grade with Teacher Permission) – (Yr. – 10 credits)

##### [Prerequisite: Pre-Calculus]

This course covers the topics of the first semester of college calculus. Students taking this course should check college handbooks to see if the AP Calculus exam is required for admission to second semester college calculus. Daily homework should be expected. Graphing calculator required. TI 83+ or TI 84 series is recommended.**AP CALCULUS (PACE)** – 12 – (Yr. – 10 credits)

##### [Prerequisite: Physics and Pre-Calculus] Taken concurrently with AP Physics (PACE).

PACE(Physics and Applied Calculus for Engineers)is a double-period calculus and calculus-based physics coursewith an emphasis on engineering applications. This course will include the study of limits, derivatives, integrals, and series in calculus and the study of mechanics and electricity and magnetism in physics. Students will complete several major projects and will compete in the Pius X Machine Contest. PACE will prepare students to take the AP Calculus BC exam and the AP Physics C exams for possible college credit.Graphing calculator required.TI 83+ or TI 84 series is recommended.