**Program Description**

The high school Mathematics Department program offers courses in pure and applied mathematics to assist the students in their pursuit of intellectual, academic, and career goals. The aim of the department is to provide the student with a sound mathematical foundation.

**Program Description**

All students are required to take three full years of mathematics, one of which must include Algebra and one of which must include Geometry, in order to graduate from Lake Zurich High School.

**College-Bound Students**

College-bound students are strongly recommended to take four full years of Mathematics. Students who aspire to study in mathematical-related fields must take four full years of mathematics.

**Recommendation For Placement**

- The course sequence chart in no way mandates that a student must stay on a given program throughout his/her high school career. With effort, motivation, and improved performance, a student may move to a more difficult level of courses.
- Recommendation for placement in any course is based on effort, motivation, and performance. Each teacher monitors these three aspects and considers them in making a recommendation of placement for the student for the following year.
- Parents are welcome to contact the teacher or Math Department Chair if concern about the recommendation arises.

**M863 Algebra I**

#### Prerequisites: See Freshman Guidelines

Open To: 9, 10, 11, 12

1 Credit

Algebra I is the entry course for further study in mathematics. Topics in this course include: solving equations and inequalities, graphing linear, exponential, and quadratic functions, systems of equations, polynomial operations, and solving quadratics. Applications and word problems are studied throughout the course. **Modifications and adaptions to the course material are created based on student need.**

**M305 Algebra I Support**

#### Prerequisites: See Freshman Guidelines

Open To: 9, 10, 11, 12

1 Elective Credit

This is an intervention course designed for the student who would benefit from additional support to build a solid foundation for their current Algebra I course. Strategies include pre-teaching, re-teaching, small group work and individual differentiation. Grades are pass/fail only. This course is a full-year Math elective and does not count towards the Math graduation requirement.

**M307 Algebra I**

#### Prerequisites: See Freshman Guidelines

Open To: 9, 10, 11, 12

1 Credit

Algebra I is the entry course for further study in mathematics. Topics in this course include: solving equations and inequalities, graphing linear, exponential, and quadratic functions, systems of equations, polynomial operations, and solving quadratics. Applications and word problems are studied throughout the course. Students are required to bring a TI-83 or TI-84 graphing calculator to class on a daily basis. This course prepares students for Geometry.

**M867 Geometry**

#### Prerequisites: Algebra I

Open To: 10, 11, 12

1 Credit

The course develops skills in the area of formal proof, parallel lines, perpendicularity, polygons, similarity, Pythagorean applications, circles, area and volume. **Modifications and adaptations to the course materials are created based on student need.**

**M312 Geometry Support**

#### Prerequisites: Algebra I

Open To: 9, 10, 11, 12

1 Elective Credit

This is an intervention course designed for the student who would benefit from additional support to build a solid foundation for their current Geometry course. Strategies include pre-teaching, re-teaching, small group work and individual differentiation. Grades are pass/fail only. This course is a full-year Math elective and does not count towards the Math graduation requirement.

**M313 Geometry**

#### Prerequisites: Algebra I

Open To: 9, 10, 11, 12

1 Credit

This course offers a practical setting in which to use Geometry. The course develops skills in the area of constructions, transformations, formal proof, congruence, similarity, right triangles, parallel lines, perpendicularity, Pythagorean applications, circles, area, volume, circles, parabolas, coordinate geometry and probability.

**M315 Geometry – Honors**

#### Prerequisites: “B” or higher In 8th Grade Algebra and Teacher Recommendation or see Freshman Guidelines.

Open To: 9, 10, 11, 12

1 Credit

This course offers an enhanced setting to develop mathematical reasoning, critical thinking skills and problem solving techniques to investigate and explore Geometry. The courses develops skills in the area of constructions, transformations, sophisticated proof techniques, congruence, similarity, right triangles, Pythagorean applications, trigonometry and trigonometry applications that include Law of Sines and Law of Cosines, parallel lines, perpendicularity, polygons, area, volume, circles, parabolas, coordinate geometry, and probability including conditional probability.

**M872 Consumer Math**

#### Prerequisites: None

Open To: 11,12

1 Credit

Consumer Mathematics is designed for students who have a basic understanding of mathematical computation, especially those who require extra instruction applying these skills as a knowledgeable consumer. Learning and applying these skills may require students to extend themselves in the community for a better understanding. Students may also be encouraged to visit local grocery stores, dealerships, banks, etc. Also, students will be asked to review household utility bills, taxes and communicate with people in a variety of occupations to learn how mathematics is applied.**Modifications and adaptations to the course materials are created based on student need.**

**M862 Algebra II Part A**

#### Prerequisites: Geometry

Open To: 10, 11, 12

1 Credit

This course builds on the foundation laid in Algebra I and is the first course in a two-year option for completing the traditional Algebra II course. The understanding and use of essential; algebraic skills are reinforced. Topics stressed are families of functions, sequences and series, exponential and logarithmic modeling, and quadratics. Students are required to bring a TI-83 or TI-84 graphing calculator to class on a daily basis.**Modifications and adaptations to the course materials are created based on student need.**

**M323 Algebra II Part A**

#### Prerequisites: Geometry

Open To: 10, 11, 12

1 Credit

This course builds on the foundation laid in Algebra I and is the first course in a two-year option for completing the traditional Algebra II course. The understanding and use of essential algebraic skills are reinforced. Topics stressed are families of functions, sequences and series, exponential and logarithmic modeling, and quadratics. Students are required to bring TI-83 or TI-84 graphing calculator to class on a daily basis.

**M864 Algebra II Part B**

#### Prerequisites: Algebra II Part A

Open To: 11, 12

1 Credit

This course is the second course in a two-year option for completing the traditional Algebra II course. The second course will cover the following topics: polynomial functions, rational functions, trigonometry and statistics. Students are required to bring a TI-83 or TI-84 graphing calculator to class on a daily basis.**Modifications and adaptations to the course materials are created based on student need.**

**M325 Algebra II Part B W/Trig**

#### Prerequisites: Algebra II Part A

Open To: 11, 12

1 Credit

This course is the second course in a two-year option for completing the traditional Algebra II course. The second course will cover the following topics: polynomial functions, rational functions, trigonometry and statistics. Students are required to bring a TI-83 or TI-84 graphing calculator to class on a daily basis.

**M869 Algebra II**

#### Prerequisites: Geometry

Open To: 10, 11, 12

1 Credit

This course builds on the foundation laid in Algebra and Geometry. The understanding and use of essential algebraic skills are reinforced. Topics covered are families of functions, sequences and series, exponential, logarithmic, quadratics, polynomial, rational and radical functions, trigonometry and statistics. Students are required to bring a TI-83 or TI-84 graphing calculator to class on a daily basis**Modifications and adaptations to the course materials are created based on student need.**

**M327 Algebra II**

#### Prerequisites: Geometry

Open To: 10, 11, 12

1 Credit

This course builds on the foundation laid in Algebra and Geometry. The understanding and use of essential algebraic skills are reinforced. Topics stressed are families of functions, sequences and series, exponential and logarithmic modeling, quadratics, polynomial functions, rational and radical functions, trigonometry and statistics. Students are required to bring a TI-83 or TI-84 graphing calculator to class on a daily basis.

**M329 Algebra II – Honors**

#### Prerequisites: “B” or higher In Geometry-Honors and teacher Recommendation or see Freshman Guidelines.

Open To: 9, 10, 11, 12

1 Credit

This course is an accelerated course in Algebra II for the student with greater aptitude and interest in math. Topics of Algebra II are studied in much greater depth and intensity using a variety of mathematical methods. These topics include: families of functions, sequences and series, exponential, logarithmic, quadratics, polynomial, rational and radical functions, trigonometry and statistics. Further development of critical thinking skills is stressed. Students are required to bring a TI-83 or TI-84 graphing calculator to class on a daily basis.

**M337 Pre-Calculus**

#### Prerequisites: Algebra II

Open To: 10, 11, 12

1 Credit

This course will give the student thorough preparation for college and/or high school calculus. This course will include matrices, trigonometry, conics, polar coordinates, vectors, sequences and series, probability and an introduction to limits and rates of change. Students are required to bring a TI-83 or TI-84 graphing calculator to class on a daily basis.

**M339 Pre-Calculus – Honors**

#### Prerequisites: “B” or higher In H-Algebra II and teacher recommendation.

Open To: 10, 11, 12

1 Credit

This course is designed as an accelerated course that will give the student thorough preparation for college and/or high school AP Calculus BC. This course will include matrices, trigonometry, conics, polar coordinates, exponential and logarithmic functions, rates of change, derivatives and limits. Students are required to bring a TI-83 or TI-84 graphing calculator to class on a daily basis.

**M341 Calculus**

#### Prerequisites: Pre-Calculus

Open To: 11, 12

1 Credit

The study of calculus is not limited to those preparing for careers in mathematics and sciences. This course emphasizes the skills of limits, differentiation, integration, graphing and their applications and is equivalent to a one-semester college Calculus course. Although students may elect to take the AP exam at the end of this course, preparation for the Advanced Placement Examination is not the focus nor a part of this course. Students are required to bring a TI-83 or TI-84 graphing calculator to class on a daily basis.

**M347 Statistics – AP**

#### Prerequisites: Algebra II

Open To: 10, 11, 12

1 Credit

The purpose of the A.P. course in Statistics is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students will explore the course themes using a variety of technologies- graphing calculator, spreadsheets and other software designed for statistical applications. Students are exposed to four broad conceptual themes: 1. Exploring Data: Describing patterns and departures from patterns. 2. Sampling and Experimentation: Planning and conducting a study. 3. Anticipating Patterns: Exploring random phenomena using probability and simulation. 4. Statistical Inference: Estimating population parameters and testing hypotheses. Students who successfully complete the course and the A.P. Examination may receive university credit, advanced placement, or both for a one-semester introductory college statistics course. Students are required to bring a TI-83 or TI-84 graphing calculator to class on a daily basis.

**M351 Calculus AB – AP**

#### Prerequisites: “B” OR HIGHER IN PRE-CALCULUS

Open To: 11, 12

1 Credit

Advanced Placement Calculus AB is designed to prepare the student to take the Calculus AB Advanced Placement Examination (offered each May) in an attempt to receive advanced placement and/or credit in the freshman year of college. This course is equivalent to a one-semester college calculus course. Topics explored include the four fundamental concepts of calculus: limits, derivatives, definite integrals and indefinite integrals. All topics are presented algebraically, graphically and verbally, aligning with College Board recommendation. Topics include: derivatives and integrals of logarithmic, exponential, transcendental and inverse functions, are between curves, volumes of solids, L’Hopital’s Rule, differential equations and slope fields. Students are required to bring a TI-83 or TI-84 graphing calculator to class on a daily basis.

**M353 Calculus BC – AP**

#### Prerequisites: “B” OR HIGHER IN H-PRE-CALCULUS

Open To: 11, 12

1 Credit

Advanced Placement Calculus BC is designed to prepare the student to take the Calculus BC Advanced Placement Examination (offered each May) in an attempt to receive advanced placement and/or credit in the freshman year of college. Students completing this course have the equivalent two semesters of college calculus. Topics explore include the four fundamental concepts of calculus: limits, derivatives, definite integrals and indefinite integrals. All topics are presented algebraically, graphically and verbally, aligning with College Board recommendation. Topics include: derivatives and integrals of logarithmic, exponential, transcendental and inverse functions, area between curves, volumes of solids, L’Hopital’s Rule, differential equations, slope fields, work, fluid force, special integration methods and their applications, polynomial approximation, series, parametric equations, polar and vector functions. Students are required to bring a TI83 or TI-84 graphing calculator to class on a daily basis.

**M359 Computer Programming – Honors**

#### Prerequisites: Algebra I

Open To: 9, 10, 11, 12

1 Credit

Honors Computer Programming is a full-year introductory course that gives students a firm foundation in programming techniques to prepare them for a college level course in computer science. The study of computational thinking enhances the student’s problem solving skills across other curriculum. Topics of this course include events, date types, decisions, iteration, program design, arrays, common algorithms, objects, and introductory app design. Coding is an extensive part of this course. The Visual Basic Programming Language is used as well as “drag and drop” style coding languages.

**M363 Computer Science Principles – AP**

#### Prerequisites: Algebra 1 Or H Computer Programming Or Department Chair Approval

Open To: 9, 10, 11, 12

1 Credit

Advanced Placement Computer Science Principles is designed to be an introduction to computer science at an AP level. The course focuses on concepts and computational thinking practices central to computing and STEM careers. Major areas of study are the Internet, digital date, algorithms and programming, big data and privacy, and building apps. This course comprises research, communication, collaboration, presentation, and coding. AP credit is awarded based on 2 performance tasks (40%) and a multiple choice test (60%) given during the AP exam week. Upon completion of the course, students will have a solid foundation in both programming and computer science.

**M361 Computer Science A – AP**

#### Prerequisites: “B+” In H Computer Programming Or “B” In AP Computer Science Principles Or Department Chair Approval

Open To: 10, 11, 12

1 Credit

Advanced Placement Computer Science A course is a one-year course in that it is designed to prepare the student to take the AP College Board test in May to earn college credit. In accordance with the AP College Board course description, the course emphasizes object-oriented programming methodology with a concentration on problem solving and algorithm development. It also includes the study of data structures, design, and abstraction. Coding in Java is an extensive part of this course. Students with prior programming experience in date types, decision, iteration, and arrays should consult with the department chair for approval to waive prerequisites.

**M355 Multivariable Calculus**

#### Prerequisites: Earning 4 or 5 AP Calculus BC Exam

Open To: 12

1 Credit

This course is equivalent to a third course in calculus and analytic geometry including: vector analysis, Euclidean space, partial differentiation, multiple integrals, line and surface integrals, and the integral theorems of vector calculus. Students that successfully complete this course, including passing the mandatory exams, will receive 1 credit from the high school and 4 credits from the University of Illinois. The student’s grade earned in this course will be weighted based on the AP grading scale. The course fee is $399.00

**M365 University Studies In Mathematics – AP**

#### Prerequisites: A.P. Calculus And Senior Standing

Open To: 12

1 Credit

This is an independent study opportunity for students who have completed the traditional Calculus course. Options for study include: Calculus II, Calculus III, Differential Equations. The courses are offered through the University of Illinois and are a part of their distance learning program. Student work is completed with the use of the software package “Mathematica” and is then sent to the U of I via the internet to be graded by their instructors. Arrangements must be made with the department chair prior to enrollment. The student is responsible for any and all fees associated with taking this course.

## M364 Advanced Topics in Computer Science

#### Prerequisites: AP Computer Science A or a computer science teacher recommendation

Open To: 11, 12

1 Credit

Advanced Topics in Computer Science is designed for the student who wants to pursue the further study of advanced computer science topics. Students will have a choice to personalize their learning by choosing from topics such as: the implementation of common data structures such as lists, stacks, queues, trees, and graphs, including linked structures, hash tables, and heaps, as well as elementary methods of complexity analysis applied to algorithms that manipulate dynamic and static data structures. In addition, the students will work directly with the instructor to design an approved individualized course of study of the student’s choosing. Students who take this course must be self-motivated to be able to consistently work independently on a significantly challenging topic that is of interest to them With instructor approval, students may complete the course more than once.