- Jackie Palmquist, Department Chairperson – MVHS
- Mary Nash, Department Chairperson – NVHS
- Molly Owles, Department Chairperson – WVHS

The Mathematics curriculum is designed to meet the needs of all students. The curriculum is structured into three distinct sequences based upon student abilities. Any six semesters of mathematics, in the right sequence, will fulfill the three-year requirement for graduation.

All Math classes are year-long unless noted. Each course builds on the courses before it. The typical sequence includes some level of Algebra, Geometry, Algebra 2 Trigonometry & Statistics, Pre-Calculus, and Calculus.

Because Honors and Advanced Placement (AP) course work is accelerated and more sophisticated, upper level work of high quality in a compacted time frame is demanded of students. The Math Department has developed recommendations for student success. These criteria are indicators of performance levels or standards for the Honors or AP courses and are available from the Math Department.

## Mathematics Course Listings

### GENERAL COURSES

### COLLEGE PREP COURSES

Course# | Title | Level | prerequisite and/or recommended course work includes |
---|---|---|---|

MATH1002B | Algebra 1 Block/Algebra 1 Academy (2 periods) | Yr. 9, 10 | Teacher recommendation |

MATH1002 | Algebra 1 | Yr. 9, 10 | Teacher recommendation |

MATH2007 | Geometry Essentials | Yr. 10-12 | Teacher recommendation |

MATH1003 | Geometry | Yr. 9-11 | Teacher recommendation |

MATH1003C | Online Geometry | Yr. 9-12 | Teacher recommendation |

MATH1004 | Algebra 2 Trigonometry & Statistics | Yr. 9-12 | Teacher recommendation |

MATH3006 | Algebra 2 Essentials | Yr. 10-12 | Teacher recommendation |

MATH3008C | Online Algebra 2/Trigonometry | Yr. 9-12 | Teacher recommendation |

MATH3007 | Trigonometry | .11-12 | Teacher recommendation |

MATH3002 | Probability & Statistics | Sem.11-12 | Teacher recommendation |

MATH2006 | Precalculus | Yr. 10-12 | Teacher recommendation |

MATH3008 | Calculus | Yr. 11-12 | Teacher recommendation |

### ACCELERATED COLLEGE PREP COURSES

Course# | Title | Level | prerequisite and/or recommended course work includes |
---|---|---|---|

MATH1006A | AP Computer Science 1 | Yr. 9-12 | Completion of Geometry |

MATH1003H | Honors Geometry | Yr. 9-10 | Teacher recommendation |

MATH1004H | Honors Algebra 2/Trig. | Yr. 9-11 | Teacher recommendation |

MATH2002A | AP Statistics | Yr. 10-12 | Teacher recommendation |

MATH2006H | Honors Precalculus | Yr. 10-12 | Teacher recommendation |

MATH3010A | AP Calculus AB | Yr. 11-12 | Teacher recommendation |

MATH3009A | AP Calculus BC | Yr. 11-12 | Teacher recommendation |

MATH4000D | Calculus 3 | Yr. 11-12 | Teacher recommendation |

**University of Illinois**offers Dual Credit for Calculus 3. Students must successfully complete AP Calculus BC and earn a 4 or 5 on the AP Calculus BC exam. Students must pay the $300 registration fee in advance of the course. The course is equivalent to Math 241 (4 hours) at University of Illinois.

## MATH1000 Math 100

**Grade 9**. Placement required.

This course is designed to meet the needs of students who have experienced difficulty in learning mathematics in a traditional format. The content of this course develops basic arithmetic and computational skills using a variety of activities and group projects. This is the first course in a three-course sequence. A TI-30X calculator (or equivalent) is required. This course is not NCAA core approved.

## MATH1002 Algebra 1

**Grade 9-10** Placement required.

The Algebra 1 units include: solving equations and inequalities, linear and exponential functions, systems of linear equations, quadratic functions, and statistics. The Math Practice Standards are the foundation of lessons, teaching students how to reason and think mathematically. A graphing calculator is required (Ti-84 or equivalent is recommended). In order to be successful, students should have a solid foundation in 7th and 8th grade math.

## MATH1002B Algebra 1 BLOCK/Algebra 1 Academy

**Grade 9-10**. Placement required.

This one-year Algebra 1 course meets daily one period in addition to the student’s 1 period Algebra 1 course. This course is designed to support student learning in Algebra 1. In addition to pre-teaching and re-teaching Algebra 1 concepts, emphasis is placed on vocabulary, study skills, and mathematical habits of mind. Students earn one Algebra 1 credit and one general elective credit; the general elective credit is pass/fail). The Algebra 1 units include: solving equations and inequalities, linear and exponential functions, systems of linear equations, quadratic functions, and statistics. Math Practice Standards are the foundation of lessons, teaching students how to reason and think mathematically. A graphing calculator is required (TI-84 or equivalent is recommended).

## MATH1003 Geometry

**Grade 9-11**. Placement required

The Geometry units include: transformations, constructions, congruence, properties and applications of quadrilaterals and circles, coordinate geometry, similarity, right triangle trigonometry, and surface area and volume of three-dimensional figures. The Math Practice Standards are the foundation of lessons, teaching students how to reason and think mathematically. A graphing calculator (TI-84 or equivalent is recommended), compass, and protractor are required.

## MATH1003C Online Geometry

**Grade 9-12** Placement required

This online eLo course provides students with the fundamental vocabulary, properties, language, content and procedures of geometry. Topics include triangles, circles, polygons, parallel lines, and inequalities, with an introduction to coordinate and solid geometry. Emphasis is placed on construction of formal proof, the analysis of the nature and structure of a logical system and on problem solving skills. This course includes applications of the students’ algebraic skills.

## MATH1003H Honors Geometry

**Grade 9-10**. Placement required. Weighted Grade.

In addition to covering the topics listed above for Geometry (MATH1003), this course provides a more rigorous and in-depth approach to covering geometric ideas and formal proofs. The Math Practice Standards are the foundation of lessons, teaching students how to reason and think mathematically. A graphing calculator, compass, and protractor are required.

## MATH1004 Algebra 2 Trigonometry & Statistics

**Grade 9-12**. Placement required

This course expands on concepts covered in Algebra 1 (MATH1002), but develops a deeper understanding while introducing more advanced algebra topics. The A2TS units include: linear models, linear systems, functions and relations, modeling and solving quadratic equations, polynomial functions, periodic functions, exponential and logarithmic functions, probability and statistics, and sequences and series. The Math Practice Standards are the foundation of lessons, teaching students how to reason and think mathematically. A graphing calculator (TI-84 or equivalent is recommended) is required.

## MATH1004C Online Algebra 2/Trigonometry

**Grade 9-12** Placement required

This online eLo course develops the algebraic concepts from Algebra I in greater depth. Emphasis is placed on basic operations associated with the real number system, polynomials and their various operations, graphs of linear equations, equalities and inequalities, matrices, quadratic functions, exponents and exponential functions. Algebra 2 is an essential course for those who plan to continue the study of mathematics in high school and college.

## MATH1004H Honors Algebra 2/Trigonometry

**Grade 9-11**. Placement required. Weighted Grade.

This course covers the same topics as MATH1004 Algebra 2/Trigonometry & Statistics with greater depth and some additions including sequences and series. Starting with a brief review of some basic axioms and properties in algebra, the course moves quickly to newer topics, integrating real-life applications. The Math Practice Standards are the foundation of lessons, teaching students how to reason and think mathematically. A summer packet of Algebra 1 problems may be required. A graphing calculator is required (TI-84 or equivalent is recommended).

## MATH1006A AP Computer Science 1

Grade 9-12. Prerequisite is Geometry. Weighted Grade.

This one-year introductory course emphasizes structured computer programming. JAVA is emphasized as a tool to develop problem-solving, encourage student creativity, and facilitate discovery learning. Students who successfully complete this course and the AP Computer Science A examination may receive college credit and/or a higher placement for a college course.

## MATH2000 Math 200

**Grade 9-10**. Placement required.

This course stresses the applications of skills developed in Math 100. Practical applications used in everyday life situations will be emphasized. This course will cover pre-Algebra and some basic Geometry skills. Note-taking and study skills will be stressed. A TI-30X calculator (or equivalent) is required. This course is not NCAA core approved.

## MATH2002A AP Statistics

**Grade 10-12**. Prerequisite is Algebra 2 Trigonometry & Statistics or higher. Weighted Grade.

The Advanced Placement course in statistics introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students who successfully complete the course and AP examination may receive college credit and/or a higher placement in college. A summer reading assignment may be required. A graphing calculator is required (TI-84 or equivalent is recommended).NOTE: A TI-89 is not equipped with a statistics package.

A workbook fee will be charged.

## MATH2006 Precalculus

**Grade 10-12**. Prerequisite is Algebra 2 Trigonometry & Statistics and placement.

This one-year course serves as a prerequisite for Calculus or AP Calculus AB. A major emphasis is an extended study of various functions; polynomial, exponential, logarithmic, trigonometric, and their transformations. Students will be introduced to limits and vectors in preparation for a Calculus course. The Math Practice Standards are the foundation of lessons, teaching students how to reason and think mathematically. A graphing calculator is required (TI-84 or equivalent is recommended).

## MATH2006H Honors Precalculus

**Grade 10-12**. Prerequisite is Honors Algebra 2/Trigonometry and placement. Weighted Grade.

This one year course serves as the prerequisite for Calculus or AP Calculus AB or BC. In addition to those topics covered in Precalculus, parametric, vector, and polar functions are studied. The Math Practice Standards are the foundation of lessons, teaching students how to reason and think mathematically. A summer packet may be required. A graphing calculator is required (TI-84 or equivalent is recommended).

## MATH2007 Geometry Essentials

**Grade 10-12**. Placement required.

Geometry Essentials covers all the basic geometry concepts, using problem-solving through inductive and deductive reasoning, but with little emphasis on formal proofs. The course includes topics such as constructions, distance concepts, angles, triangles, geometric inequalities, parallel and perpendicular lines and planes, polygons, circles, and spatial figures and their properties. Right-triangle trigonometry is introduced. The Math Practice Standards are the foundation of lessons, teaching students how to reason and think mathematically. A graphing calculator, compass, and protractor are required.

## MATH3000 Math 300

**Grade 9-11**. Placement required.

Emphasis in this course is on basic Algebra skills, including studying and graphing linear and quadratic equations, and further exploring Geometry concepts developed from Math 200. An integration of Algebra and Geometry will be covered. Note-taking and study skills will be stressed. A TI-30X (or equivalent) calculator is required. This course is not NCAA core approved.

## MATH3002 Probability and Statistics

**Grade 11-12**. One semester. Prerequisite is Algebra 2 Essentials.

This semester course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. It emphasizes basic probability and statistical techniques. A graphing calculator is required (TI-84 or equivalent is recommended).

## MATH3006 Algebra 2 Essentials

**Grade 10-12**. Placement required

This course is devoted to providing an understanding of advanced algebra topics and expanding on the concepts of Algebra 1 (MATH1002). The Math Practice Standards are the foundation of lessons, teaching students how to reason and think mathematically. If the student intends to take Pre-Calculus the following year, a course studying Trigonometry is also required. A graphing calculator is required (TI-84 or equivalent is recommended).

## MATH3007 Trigonometry

**Grade 11-12**. One semester. Prerequisite is Algebra 2 Essentials.

This one-semester course emphasizes an understanding of the theoretical and practical concepts of trigonometry and their relationship to Algebra. A graphing calculator is required (TI-84 or equivalent is recommended).

## MATH3008 Calculus

**Grade 11-12**. Prerequisite is PreCalculus.

This calculus course reviews Precalculus concepts and introduces a study of limits, derivatives, integrals, and functions including trigonometric, exponential, and logarithmic functions. A graphing calculator is required (TI-84 or equivalent is recommended).

## MATH3009A AP Calculus BC

**Grade 11-12**. Prerequisite is Honors Precalculus and placement Weighted Grade.

This course covers everything listed in AP Calculus AB, with the additional topics of sequences and series, vector-valued functions, polar and parametric functions, and some proof of theorems. Extensive independent study is required. This course is equivalent to the traditional college level Calculus I and II. Students who successfully complete this course and the AP Calculus BC examination may receive college credit and/or higher placement in college. A graphing calculator is required (TI-84 or equivalent is recommended).

## MATH3010A AP Calculus AB

**Grade 11-12**. Prerequisite is Precalculus and placement. Weighted Grade.

Topics include an in-depth study of a variety of functions and a study of limits. Additionally, differential and integral calculus with applications in optimization, related rates, area, and volume are covered. The demands of this course include analytical reasoning skills and disciplined study habits appropriate for continued success in college. Some independent study is required. This course is equivalent to the traditional college level Calculus I. Students who successfully complete this course and the AP Calculus AB examination may receive college credit and/or higher placement in college. A graphing calculator is required (TI-84 or equivalent is recommended).

## MATH4000D Calculus 3

**(Math 241 – 4 semester hours @ University of Illinois) Calculus of Several Variables Grade 11-12**. Prerequisite is Calculus BC and a 4 or 5 on the AP Calculus BC exam. Contact the department chairperson for further explanation. Weighted Grade.

This course is the third course in Calculus and Analytic Geometry. Topics include three-dimensional space, functions of several variables, partial derivatives, and multiple integrals. This course uses MakingMath software. There is a fee associated with this course through University of Illinois. Qualifications on: http://netmath.math.uiuc.edu/whoqual.html.