# Mathematics Course Offerings and Descriptions

## SUMMER SCHOOL MATH COURSES

*Summer School offerings in math include courses to help students accelerate their academic progress. Please review the current summer school catalog or visit the OPRFHS website at www.oprfhs.org for a full description of math courses offered during the summer session.*

### S200 Pre-Algebra

Open to incoming freshmen only

Summer School Only

1 elective credit (Pass/Fail)

The intention of Pre-Algebra is to review the beginning concepts upon which algebra is based. Students solidify their basic skills related to number sense and proportional reasoning while learning to think in the more abstract terms necessary for drawing algebraic conclusions. Students may take this course to better prepare for Algebra. This course is for students recommended for Algebra or students recommended for Pre-Algebra who wish to move up to Algebra (211).

### S201 Pre-Plane Geometry A

Summer School Only

1 elective credit (Pass/Fail)

This course is intended for good mathematics students who covered algebra in 8th or 9th grade. The course content includes: computing with positive and negative numbers; solving one variable equations; understanding, building, and modeling linear equations, understanding, building, and modeling quadratic equations, the basics of statistics, and exponential and polynomial rules. The purpose of this course is to prepare good math students for Plane Geometry A. This course is for students recommended for Plane Geometry A, freshmen recommended for Algebra who wish to move up to Plane Geometry A, or sophomores recommended for Plane Geometry who wish to move up to Plane Geometry A.

### S202 Pre-Geometry A

Summer School ONly

1 elective credit (Pass/Fail)

This course reviews the full year of algebra that advanced students took in 8th grade with the intention of better preparing these students for Geometry A. Included in the review are the studies of integers, rational numbers, irrationals, number properties, expressions, equations, inequalities, polynomials, factoring, graphing, systems, functions, and quadratics. Students should not take this course unless they have studied all of the topics in the preceding list. This course must review the entire year of freshman algebra. This course is for students recommended for Geometry A or students recommended for Plane Geometry A who wish to move up to Geometry A.

## FALL/SPRING SEMESTER

### 200A/B Pre-Algebra

Open to freshmen

2 semesters; 2 credits

Pre-Algebra block is offered to students who demonstrate the need for continued skill development to be successful in Algebra. Pre-Algebra targets skills such as computation, proportional reasoning, number sense and math fluency. Pre-Algebra instruction is highly individualized and intensive to accelerate learning and growth.

### 211, 2118, 2114/2116 Algebra

Completion of the Summer Packet is strongly suggested.

Prerequisite: Pre-Algebra Block or 8th grade math

2 semesters; 2 credits

Traditional first-year course in beginning algebra. Topics include data analysis, number patterns and properties, functions, equation solving, systems of linear equations, lines and slope, distance, polynomials, and quadratic equations. A TI Nspire or a TI 84 graphing calculator is required.

### 212A/B Algebra 10 block

Open to sophomores per teacher recommendation

Prerequisite: Pre-Algebra

2 semesters double block; 2 math credits and 2 elective credits

Traditional first-year course in beginning algebra which includes fundamental mathematic topics such as numeracy, problem solving, and critical thinking. Math topics include data analysis, number patterns and properties, functions, equation solving, systems of linear equations, lines and slope, distance, polynomials, and quadratic equations. A TI Nspire or TI 85 calculator is required.

### 213, 2137 Intermediate Algebra A

Completion of the Summer Packet is required.

Open to freshmen, sophomores and juniors

Prerequisite: Plane Geometry/Plane Geometry A and teacher recommendation

2 semesters; 2 credits

A course in second-year algebra that includes, but is not limited to functions, systems of equations, radicals and rational expressions, log functions, and complex numbers. A graphing calculator is required.

### 2141 Algebra III

Completion of the Summer Packet is required.

Open to seniors

Prerequisite: Advanced Algebra or Algebra TWO

1 semester; 1 credit

Successful completion of this semester long course qualifies students to enter all Illinois community colleges GECC mathematics course pre-calculus or equivalent course. Topics include: Algebraic expression, Problem solving, Inequality Functions, Absolute Value Functions, Creating Equations, Systems of Equations, Polynomial Functions, Exponential Functions, Radical Functions and Rational Functions. Heavy emphasis on and pre-calculus skills. Intended to prepare student for calculus concepts A or AP Statistics. A graphing calculator is required.

### 215 Advanced Algebra A

Completion of the Summer Packet is required.

Open to freshmen and sophomores

Prerequisite: Plane Geometry A or Geometry A and teacher recommendation

2 semesters; 2 credits

A full course in second-year algebra. Topics include functions, systems of equations, conic sections, logarithms, radicals and rational expressions, sequences and series, and complex numbers. Challenging word problems covering these topics are included. A graphing calculator is required.

### 221 Extended Algebra

Open to freshmen and sophomores

Prerequisite: Pre-Algebra Block or 8th grade math

2 semesters; 2 credits

This course will be taught concurrently with 211 Algebra and will cover the same topics. This course is intended for students who are ready for high school with an additional class period of support each day. This course is intended to support the new topics taught in 211 Algebra, while embedding necessary prerequisite skills previously missed by the learner.

### 222 Project Based Geometry (PB&G)

Open to sophomores, juniors and seniors

Prerequisite: Successful completion of Algebra

2 semesters; 2 credits

The course is a blended curriculum of both algebra and geometry and infuses real world applications from the fields of design and technology while continually supporting the development of core mathematical concepts.

### 223 Plane Geometry

Open to sophomores, juniors, and seniors

Prerequisite: Algebra or 8th grade math

2 semesters; 2 credits

Exploration of inductive and deductive reasoning through the study of traditional relationships from Euclidian geometry including points, lines, planes, triangles, polygons, circles, areas, and volumes. Problem solving skills and proof writing are emphasized.

### 225 Plane Geometry A

Completion of the Summer Packet is required.

Open to freshmen and sophomores

Prerequisite: First year of algebra and either a qualifying score on math placement exam, or 8th grade math, or teacher recommendation.

2 semesters; 2 credits

This honors level course covers all traditional topics of both plane and solid geometry. Topics include proofs, congruence, parallel lines and planes, similarity, circles, locus, quadrilaterals, area, volume, and constructions.

### 227 Geometry A

Completion of the Summer Packet is required.

Open to freshman and sophomores

Prerequisite: First year of algebra and either a qualifying score on math placement exam, or 8th grade math, or teacher recommendation.

2 semesters; 2 credits

This advanced course in geometry covers topics from plane, solid, and coordinate geometry. Topics include proofs, congruence, parallel lines and planes, similarity, circles, locus, quadrilaterals, area, volume, and construction. Emphasis is on the development of proofs and the application of geometric principles to problem solving.

### 229, 2298, 2294/2296 Algebra Two

Open to juniors and seniors only

Prerequisite: Algebra and Plane Geometry or Problem Based Geometry or teacher recommendation

2 semesters; 2 credits

A second-year algebra course that starts with a review of first-year algebra topics, then introduces polynomials, rational expressions, inequalities powers and roots, complex numbers, quadratic functions, and test preparation. A graphing calculator is required.

### 2311/2 Quantitative Literacy/MAT 102

Completion of the Summer Packet is required.

Open to seniors.

Prerequisite: Advanced Algebra

2 semesters; 2 credits

Successful completion of the first semester of this course qualifies students to enter all Illinois community colleges GECC mathematics course, not a calculus-based mathematics course sequence, which includes general education statistics, general education mathematics, quantitative literacy, or elementary math modeling. The second semester of this course is equivalent to the Triton College course MAT 102 (Liberal Arts Mathematics). Topics covered include sets, logic, consumer mathematics, statistics, and probability. Dual credit through Triton College may be available.

### 233 Advanced Algebra

Open to juniors, seniors, and qualified sophomores

Prerequisite: Plane Geometry or Intermediate Algebra A

2 semesters; 2 credits

Standard second-year algebra course. Topics include systems of equations, quadratic equations and functions, rational expressions, polynomial functions, logarithms, complex numbers, sequences and series, exponential functions, introduction to trigonometry, statistics, conic sections, and mathematical patterns. A graphing calculator is required.

### 235 College Algebra/Trigonometry A

Completion of the Summer Packet is required.

Open to juniors and seniors

Prerequisite: Above average success in Intermediate Algebra A or Advanced Algebra

2 semesters; 2 credits

This advanced course covers topics in college algebra and trigonometry. Topics include problem solving, graphs of functions, rational and polynomial functions, complex numbers, logarithms, exponential functions, trigonometric functions, identities, trigonometric applications, vectors, sequences, series, and conic sections. Heavy emphasis on advanced graphing techniques and pre-calculus skills. Intended to prepare students for AP Calculus AB, Calculus Concepts A, or AP Statistics. A graphing calculator is required.

### 241 Pre-Calculus A

Open to juniors and qualified freshmen and sophomores

Completion of the Summer Packet is required.

Prerequisite: Geometry A/Plane Geometry A or teacher recommendation

2 semesters; 2 credits

This course approaches topics from college algebra and trigonometry with college-level sophistication. Topics include polynomial and trigonometric functions and their graphs, inverse trigonometric functions, applications of trigonometry, identities and equations, inequalities, parametric equations, and linear programming. A graphing calculator is required.

### 242 Calculus Concepts A

Prerequisite: College Algebra/Trigonometry or College Algebra/Trigonometry A or the equivalent

2 semesters; 2 credits

This course is designed for students who wish to continue on a calculus pathway. First semester focuses on topics leading to the larger calculus concepts with an emphasis on the library of functions from a calculus point of view. Limits are addressed comprehensively. Second semester focuses on the derivative, one of the key concepts in calculus. Introduction of the integral is also covered. Conceptual understanding of the major ideas of calculus is coupled with symbolic understanding. A graphing calculator is required

### 245 College Algebra/Trigonometry

Completion of the Summer Packet is required.

Open to juniors and seniors

Prerequisite: Advanced Algebra or Intermediate Algebra A

2 semesters; 2 credits

This course integrates traditional topics from college algebra with topics from trigonometry. Topics include problem solving, graphs of functions, rational functions, complex numbers, logarithms, trigonometric functions, identities, and vectors. Heavy emphasis on advanced graphing techniques and pre-calculus skills. Process competencies as prescribed by the Post-Secondary and Workplace Act are also included in the curriculum. A graphing calculator is required. **For seniors only**: Successful completion of this course qualifies students to enter all Illinois community colleges in a calculus-based mathematics course sequence.

### 247 AP Statistics

Open to juniors and seniors

Prerequisite: College Algebra/Trigonometry A or College Algebra/Trigonometry or an “A” in Advanced Algebra

2 semesters; 2 credits

The “AP” notation included in this course title indicates “Advanced Placement.” The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Four broad conceptual themes covered are exploring data, planning a study, probability models, and statistical inference. A graphing calculator that handles lists of data and includes built-in statistical functions such as confidence intervals, tests of significance, and probability distributions is required. Dual credit through Triton College may be available.

### 2482 Applications of Trigonometry

Open to juniors and seniors

Prerequisite: First semester of College Algebra or Algebra 3

1 semester; 1 credit

This course focuses on trigonometric functions and how they are used in the real world. Topics include: the unit circle, trigonometric functions, trig with astronomy, geography, engineering, physics and statistics.

### 2501 Introduction to Computer Science

Prerequisite: First year of Algebra and teacher recommendation or Plane Geometry/Plane Geometry A and teacher recommendation. Students may use this course as an applied arts option.

Semester 1 only; 1 credit

This course provides an introduction to computer science programming. Students will discover the theory and power of computers by learning to write computer programs to conduct experiments and solve practical problems. The course will focus on several programming languages to facilitate students’ learning of computer programming solutions. Languages include Scratch, Android App Inventor, and Python. The course prepares students for the more rigorous AP Computer Science or Honors Computer Science courses. Most of the work for the class will be done during class-time in a computer-lab setting under the supervision of the teacher. Some laboratory time outside of class may be required; a home computer with Internet access can serve this purpose.

### 2502 Exploring Android App Development

Prerequisite: Introduction to Computer Science or 1 semester of AP Computer Science or 1 semester of AP Computer Science Principles

Semester 2 only; 1 credit

The student will learn to develop his/her own apps for an Android device. The course introduces the student to Android app programming by providing a solid foundation for imagining, designing, creating, and deploying one’s own apps onto the Google Play Store. This course covers the major Android topics such as views, activities, intents, broadcast receivers, and content providers. It also covers location-based services, sensors, and app deployment

### 253 AP Computer Science

Prerequisite: First year of Algebra and teacher recommendation or Introduction to Computer Science or Plane Geometry/Plane Geometry A and teacher recommendation. Students may use this course as an applied arts option.

2 semesters; 2 credits

The “AP” notation included in this course title indicates “Advanced Placement.” This advanced placement course is similar to an introductory college course in computer science. Many career disciplines, such as computer programming, mathematics, engineering, business, and the natural sciences, require fundamental computer programming skills. Students will learn to write object-oriented programs using the Java language to solve a variety of problems using common algorithms and data structures. The class will be conducted in a computer lab setting. Additional laboratory time outside of class may be required. The class will prepare students to take the College Board Advanced Placement exam in May. Students are expected to take the exam.

### 256 AP Computer Science Principles

Open to sophomores, juniors and seniors

Prerequisite: First year of Algebra and teacher recommendation or Introduction to Computer Science or Plane Geometry/Plane Geometry A and teacher recommendation. Students may use this course as an applied arts option.

2 semesters; 2 credits

This course introduces students to the essential ideas of computer science and shows how computing and technology can influence the world around us. Students will creatively address real-world issues and concerns to bring ideas to life by using the same processes and tools as those used by artists, writers, computer scientists, and engineers. Designed by the AP Program with the goal of creating leaders in computer science fields, topics include digital information, the internet, programming, data, and performance tasks. Successful completion of this course fulfills the computer proficiency graduation requirement.

### 261 AP Calculus AB

Completion of the Summer Packet is required.

Open to juniors and seniors

Prerequisite: College Algebra/Trigonometry A or Pre-Calculus A and teacher recommendation

2 semesters; 2 credits

The “AP” notation included in this course title indicates “Advanced Placement.” This college level course includes the study of functions, limits, derivatives, and integrals. This course is the equivalent of one and one-half semesters of college calculus. Students are expected to take the College Board Advanced Placement exam in May. A graphing calculator is required.

### 262 AP Calculus BC

Completion of the Summer Packet is required.

Open to juniors and seniors

Prerequisite: Completion of AP Calculus AB

2 semesters; 2 credits

This course is for students that have successfully completed AP Calculus AB. The course will cover AP Calculus BC topics not completed in AP Calculus AB, as well as some Pre-Calculus topics in p[reparation. The expectation is that all students will be ready for the AP Calculus BC exam by the completion of this semester. You will learn how to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. You will also learn how to use technology to help solve problems, experiment, interpret results and support conclusions.

### 263 AP Calculus AB/BC

Completion of the Summer Packet is required.

Open to juniors and seniors

Prerequisite: Pre-Calculus A and teacher recommendation

2 semesters; 2 credits

The “AP” notation included in this course title indicates “Advanced Placement.” This course is for students that have successfully completed Pre-Calculus A. This college level course covers two semesters of college calculus in 2 semesters of high school. Topics include the study of functions, limits, derivatives, integrals, Taylor polynomials, advanced methods of integration, polar coordinates, vectors, parametric equations, and convergence and divergence of infinite series. Students are expected to take the College Board Advanced Placement exam in May. Dual credit through Triton College may be available. A graphic calculator is required.

### 2641/2 Linear Algebra A/Calculus III A

Open to juniors and seniors

Prerequisite: AP Calculus AB/BC or AP Calculus BC

1 semester; 1 credit

Calculus III A is the third of 3 courses in the basic calculus sequence. This course has been partnered with the study of linear algebra, vital in multiple areas of science and computer science. Calculus III topics include vector functions, functions of 2 or more variables, partial derivatives, quadratic surfaces using multiple interpretations, surface integrals, Green's theorem, and Stroke's theorem. Linear Algebra topics include linear equations, matrix theory, linear transformations of vectors, vector spaces, eigenvalues, and eigenvectors.