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

## Stories about Math

#### Class activity puts math shapes into action

Students in Differentiated Geometry were learning the particulars of various shapes: congruence, parallel, perpendicular, degree of angles, and more. To better understand a shape, groups

#### Calculus students add another dimension for lesson on volume

Calculus students are currently learning about volume, both by revolving area and using cross sections. The students were assigned to create a model of what

#### Teamwork wins in relay activity in AP Calcus

During a relay activity in AP Calculus with Anne Driewer, individual students represent their team at the white board and ‘compete’ against other students on

#### Paper rocket launches a product of physics, calculus, and student ingenuity

Students in the AP Physics (PACE) class designed and launched paper rockets as part of a class lesson. They considered design, weight, length, aerodynamics, and

## Course Descriptions

**ALGEBRA ESSENTIALS** – 9 – (Yr. – 10 credits)

Algebra Essentials is designed to be taken along with Algebra I. It will cover basic skills required to be successful in all high school math courses, along with providing extra practice of skills learned in Algebra I. Topics covered will include fractions, operations with integers, simplifying algebraic expressions, solving basic equations and inequalities, graphing, decimals, percentages, probability, measurement, radicals, and basic geometry, although the list will change to reflect the specific needs of the individual student. All work is designed to be completed in class.

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

The goal of Algebra I is to offer students traditional algebra content. It will provide students with a transition from the concrete elementary mathematics to the abstract thinking of algebra and will engage students in practice and problem-solving strategies. Algebra I will expose students to factoring, rational and polynomial expressions, operations with radicals, solving linear and quadratic equations, order of operations, word problems, and how to solve systems of equations. Daily homework should

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

The goal of Differentiated Algebra I is to offer traditional algebra content as a foundation for advanced math courses. It will provide students with a more rigorous transition from the concrete elementary mathematics to the abstract thinking of algebra and will engage students in problem-solving strategies at a deeper level. Differentiated Algebra I will enable students to become proficient in rational and polynomial expressions, operations with radicals, solving and graphing linear and quadratic equations, order of operations, word problems, and how to solve systems of equations. Daily homework should be expected.

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

**[Prerequisite: Algebra I or Differentiated Algebra I]**

Geometry is a course designed for students who successfully completed Algebra I or for those students who struggled in Differentiated Algebra I. The goal of Geometry is to offer students essential Geometry content and introduce the step-by-step thinking process. Geometry includes constructions and proofs as well as the study of the properties of circles, triangles, basic polygons, and 3-D shapes. Daily homework should be expected.

**DIFFERENTIATED ****GEOMETRY** – 9, 10, 11, 12 – (Yr. – 10 credits)

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

Differentiated 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 in depth thinking processes required in everyday applications. This more rigorous course includes constructions and proofs as well as the study of the properties of circles, triangles, basic polygons, and 3-D shapes. Daily homework should be expected.

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

**[Prerequisite: Algebra I or Differentiated Algebra I. Students who have not completed Geometry or Differentiated Geometry need teacher permission to enroll.]**

Algebra II is designed for students who successfully completed Geometry or Differentiated Geometry and need more practice in their Algebra skills. Algebra II offers a continuation of the traditional first year algebra course and progresses into the study or functions, complex numbers, polynomials, radicals, exponentials, and logarithms. Daily homework should be expected.

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

**[Prerequisite: Differentiated Geometry or Geometry with teacher permission]**

Differentiated Algebra II offers an in-depth continuation of the traditional first year algebra course and progresses into the study or functions, complex numbers, polynomials, radicals, exponentials, logarithms, sequences, series, and matrices. With permission, sophomores may take Differentiated Algebra II concurrently with Differentiated Geometry. Differentiated Algebra II is strongly recommended for college-bound students. Daily homework should be expected.

**AP STATISTICS** – 11, 12 – (Yr – 10 credits)

##### [Prerequisite: Differentiated 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: Differentiated Algebra II]

Pre-Calculus Mathematics is the study of trigonometric, polynomial and other functions and the fundamentals for calculus. A major emphasis 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 Differentiated Algebra II (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 physicscoursewith 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.