Math

Math Course Sequence

Basic

Algebra

This course represents a basic approach towards Algebra.  It mirrors the general Algebra course, but not all topics are studied at the same depth.  Topics include, but are not limited to order of operations, variables & expressions, solving one and two variable equations and inequalities, operations with linear equations, performing operations on polynomials – including multiplying binomials, factoring trinomials and solving quadratic equations.

Semesters: 2
Level: 9
Credit: 1/2 per semester
Prerequisite: Teacher recommendation

Intermediate Algebra

Algebraic topics such as linear equations, inequalities, graphing, functions, exponents, factoring, manipulating expressions, radicals, quadratics, are reviewed and expanded on in this course.

Semesters: 2                                           
Level: 10, 11, 12
Credit: 1/2 per semester
Prerequisite: Algebra and/or Geometry

Geometry

This course represents a basic approach towards Geometry.  It mirrors the general Geometry course, but not all topics are studied at the same depth. Geometry teaches the students to think accurately, logically, critically, and to set forth their thoughts in a well-organized, orderly fashion. Algebra is used extensively throughout the course.

Semesters: 2
Level: 11
Credit: 1/2 per semester
Prerequisite: Algebra

General

Algebra

This is a foundation course for further high school mathematics. An understanding of algebra is developed through study of the following topics: order of operations, variables & expressions, solving one and two variable equations and inequalities, operations with linear equations, performing operations on polynomials – including multiplying binomials, factoring trinomials and solving quadratic equations.

Semesters: 2                                             
Level: 9
Credit: 1/2 per semester      
Prerequisite: Teacher recommendation    

Geometry

Geometry teaches the students to think accurately, logically, critically, and to set forth their thoughts in a well-organized, orderly fashion.  Algebra is used extensively throughout the course.

Semesters: 2                                           
Level: 9, 10, 11
Credit: 1/2 per semester                                  
Prerequisite: Algebra

Algebra II with Trigonometry

Topics of algebra such as exponents, radicals, functions and relations, quadratic equations, graphs and their applications are studied in this course. Topics of trigonometry such as the study of the six trigonometric functions, solutions of right and general triangles, radians, graphs, identities and equations are studied in this course. Students will also study introductory probability and statistics.

 *A graphing calculator is required for this course.

Semesters: 2                                             
Level: 10, 11, 12
Credit: 1/2 per semester                                     
Prerequisite: Geometry

College Algebra

This course is designed for students who need additional review of advanced algebraic topics before attending college and/or taking precalculus. Algebraic topics such as algebraic expressions, equations, inequalities, relations, functions (polynomial, rational, exponential, and logarithmic), analytic geometry, and sequences and series will be taken to a higher level. Click link to learn more on articulated credit for this course.

*A graphing calculator is required for this course.                      

Semesters: 2
Level: 12                       
Credit: 1/2 per semester
Prerequisite: Successful completion of two semesters of Geometry. 

Probability and Statistics

Attention will be given to strengthening algebraic techniques needed to consider the following topics: laws of chance, mean, median, mode, percentile, and standard deviation. A course similar to this is often required by colleges and universities for programs such as business, education, and technical fields.

 *A graphing calculator is required for this course.

Semesters: 2                                               
Level: 11, 12      
Credit: 1/2 per semester                                                           
Prerequisite: Algebra II with Trigonometry

Precalculus

This rigorous course material on families of functions, systems of equations, logarithms, trigonometry, conics, sequences, series, and limits.  This course is specifically designed for students planning to take calculus.

 *A graphing calculator is required for this course.

Semesters: 2                                                  
Level: 11, 12
Credit: 1/2 per semester        
Prerequisite: Algebra II with Trigonometry                              

 

Calculus

Topics of differential and integral calculus are presented in anticipation of students taking calculus as a college course. Preparation for the advanced placement exam is not included.

 *A graphing calculator is required for this course

Semesters: 2                                                 
Level: 11, 12
Credit: 1/2 per semester                            
Prerequisite: Precalculus

Honors

Honors Geometry

Geometry teaches the students to think accurately, logically, critically, and to set for their thoughts in a well-organized, orderly fashion.  Algebra is used extensively throughout the course.  Students are expected to think at a more critical level than in regular geometry.

*A graphing calculator is required for this course.

Semesters: 2                                             
Level: 9, 10
Credit: 1/2 per semester                              
Prerequisite: Algebra

Honors Algebra II with Trigonometry

Topics of algebra such as exponents, radicals, functions and relations, quadratic equations, graphs and word problems are studied in this course. Topics of trigonometry include the study of the six trigonometric functions, solutions of triangles, radians, graphs, identities and equations.

*A graphing calculator is required for this course.

Semesters: 2                                                  
Level: 9, 10, 11
Credit: 1/2 per semester                          
Prerequisite: H Geometry or teacher recommendation

Honors Precalculus

This rigorous course includes material on families of functions, systems of equations, logarithms, trigonometry, conics, sequences, series, and limits.  This course is specifically designed for students planning to take AP or college level calculus.  Students are expected to think at a more critical level than in regular precalculus.

*A graphing calculator is required for this course.

Semesters: 2                                                
Level: 9, 10, 11, 12
Credit: 1/2 per semester
Prerequisite: H Algebra II with Trigonometry or teacher recommendation

Advanced Placement® / Dual Credit

ADVANCED PLACEMENT® CALCULUS AB

AP Calculus AB is roughly equivalent to a first semester college calculus course devoted to topics in differential and integral calculus.  The AP course covers topics in these areas, including concepts and skills of limits, derivatives, definite integrals, and the Fundamental Theorem of Calculus.  (College Board Course Description)

*A graphing calculator is required for this course.

Semesters: 2                                             
Level: 11, 12
Credit: 1/2 per semester                               
Prerequisite: Precalculus or teacher recommendations           

ADVANCED PLACEMENT® CALCULUS BC

AP® Calculus BC is roughly equivalent to both first and second semester college calculus courses and extends the content learned in AB to different types of equations and introduces the topic of sequences and series.  The AP® course covers topics in differential and integral calculus, including concepts and skills of limits, derivatives, definite integrals, the Fundamental Theorem of Calculus, and series.  (College Board Course Description)

*A graphing calculator is required for this course.

Semesters: 2                                             
Level: 11, 12
Periods: 7 per week
Credit: 1/2 per semester                                
Prerequisite: Honors Precalculus or teacher recommendation

ADVANCED PLACEMENT® STATISTICS

The AP® Statistics course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics.  The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data.  There are four themes in the AP® Statistics course: exploring data, sampling and experimentation, anticipating patterns, and statistical inference.  Students use technology, investigations, problem solving, and writing as they build conceptual understanding.  (College Board Course Description)

*A graphing calculator is required for this course.

Semesters: 2                                               
Level: 10, 11, 12
Credit: 1/2 per semester                                               
Prerequisite: Precalculus or teacher recommendation

CALCULUS III DUAL CREDIT

This course builds on concepts 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.  Click link to learn more about dual credit on this course.

Semesters: 2
Level: 11, 12                  
Periods: 5
Credit: Students that successfully complete both semesters will receive 1 high school credit and 4 college credits issued by the University of Illinois.
Prerequisite: Successful completion of Calculus II or a 4 or 5 on the AP® Calculus BC exam. 

Click here to read more on Advanced Placement® courses and to access student friendly resources.  Please note: Students taking the AP® exam will be required to pay College Board’s AP Exam fee.

AP® and Advanced Placement® are registered trademarks of the College Board.  Used with permission.

Contact Us

Matt Timmerman
Director of Curriculum & Assessment
Email: mtimmerman@d155.org

Troy Bruley
Cary-Grove High School
Division Lead
Email: tbruley@d155.org

Aaron Perkins
Crystal Lake Central High School
Division Lead
Email: aperkins@d155.org

Todd Graba
Crystal Lake South High School
Division Lead
Email: tgraba@d155.org

Kathy Gilbert
Prairie Ridge High School
Division Lead
Email: kgilbert@d155.org