National and state reports from mathematics and education organizations strongly recommend that all students should take four years of mathematics in grades 9-12. Colleges and universities are requiring three or four years of high school level mathematics. Students need at least 9 mathematics credits in order to graduate. Vocational and technical schools require a mathematics background for many of their programs. In order to prepare for postsecondary studies, students benefit from a sequential plan of mathematical coursework that is appropriate for them. With this in mind the mathematics department offers courses that are sequential and differentiated by student abilities.

 

Students entering Eagan High School as 9th graders, who are currently enrolled in a middle school in the district, will be enrolled in one of two levels based on the recommendation of the Mathematics Department. This recommendation includes input from the grade eight mathematics teacher, mathematics grades and standardized test scores. Students who will be in 10th, 11th, or 12th grade next year will enroll in courses based upon the student's mathematics teacher's recommendation and math achievement. To fully acquaint students with today's mathematics content and procedures, the mathematics department uses the latest technology in instruction and assessment. All juniors will take the Minnesota Comprehensive Assessment (MCA) and ACT in mathematics in April.

 

Math Department Sequence

 

Honors -->

9th: Honors Geometry

10th: Honors Algebra II and/or AP® Stats  and/or AP® Computer Science

11th: Honors Pre-Calculus and/or AP® Stats and/or AP® Computer Science  and/or Mobile Applications Development

12th: AP Calculus (AB or BC) and/or AP® Stats and/or AP® Computer Science
       and/or Mobile Applications Development and/or Multivariable Calculus (college credit)

 

College Prep -->

9th: Intermediate Algebra I

10th: Geometry

11th: Algebra II

12th: Pre-Calculus and/or Technical Math and/or CAPS, and/or AP Computer Science

 

 






Honors Geometry 

Typical Years the Course is Taken in: 9, 10

Prerequisites: A or B in Honors Algebra I or an A in Fast Paced Algebra

 

An in-depth study of Euclidean geometry in which students will work individually and in cooperative learning groups using paperfolding, iPads and calculators to make discoveries and formulate conjectures. The course develops a structured mathematical system employing both deductive and inductive reasoning. It includes plane, spatial, coordinate and transformational geometry, in addition to computer programming basics and statistical explorations. Algebraic methods are used to solve problems involving geometric principles. Students need a ruler, protractor, compass, graph paper and a graphing calculator. The EHS Mathematics Department recommends the TI-84. Note: This is a year-long course. Students should register for all three courses. 

 

Intermediate Algebra I

Typical Years the Course is Taken: 9, 10

Prerequisites: Intermediate Algebra

 

Intermediate Algebra is a study beyond linear topics in Algebra. Topics include systems of equations, quadratic equations, polynomials, data and statistics, probability and simulation, transformations and connections to geometry. Continuation in this course is contingent upon earning a passing grade the previous trimester. A TI-84 graphing calculator is recommended. Note: This is a year-long course. Students should register for all three courses.

 

Fast-Paced Intermediate Algebra I

Typical Years the Course is Taken: 9

Prerequisites: Teacher Reccomendation

 

Fast-paced Algebra is a study beyond linear topics in Algebra. It is more in depth that Intermediate Algebra and moves at an accelerated pace. You must have a teacher recommendation to enroll in this course. Topics include systems of equations, quadratic equations, polynomials, data and statistics, probability and simulation, transformations and connections to geometry. Continuation in this course is contingent upon earning a passing grade the previous trimester. A TI-84 graphing calculator is recommended. Note: This is a year-long course. Students should register for all three courses. Upon completion students can choose to enroll the following year in Honors Geometry or Geometry.

 

Geometry

Typical Years the Course is Taken: 9, 10

Prerequisites: Intermediate Algebra I

 

A study of Euclidean geometry in which students will work individually and in cooperative learning groups using manipulatives, computers and calculators to make discoveries and formulate conjectures. The course develops a structured mathematical system employing both deductive and inductive reasoning. It includes plane, spatial, coordinate and transformational geometry. Algebraic methods are used to solve problems involving geometric principles. Students need a ruler, protractor, compass, graph paper and a graphing calculator. The EHS Mathematics Department recommends the TI-84. Note: This is a year-long course. Students should register for all three courses.

 

Honors Algebra II

Typical Years the Course is Taken: 9, 10, 11

Prerequisites: Honors Geometry

 

This course is for students who have passed a full year of Honors Geometry. Students in this course will continue to learn to describe the world around them with algebraic expressions, equations, graphs and statistics. Applications and calculators provide a context in the language of algebra. Topics studied in this course include linear, quadratic, exponential, logarithmic and trigonometric functions and matrices. A graphing calculator is required for this course. A graphing Calculator is required for this course. All demonstrations will be done on a TI-84. If a student already owns a TI-83 or a TI-84, that calculator will work fine. If a student intends to purchase a new graphing calculator, the EHS Math Department recommends a TI-84 Plus CE. Note: This is a year-long course. Students should register for all three courses. 

 

Advanced Placement® Statistics

Typical Years the Course is Taken: 10, 11, 12

Prerequisites: Grade 10: current enrollment in Honors Algebra II  Grades 11,12: B- or higher in Honors Algebra II or Algebra II

 

AP® Statistics is very similar to an introductory statistics course in many colleges. In this year long course students will be introduced to the major concepts and tools for collecting, displaying, analyzing, and drawing conclusions from data. Calculators will aid in exploring the data and displaying it, while the Internet will be utilized to discover existing sets of data and studies. Certain distributions of data will be examined, characteristics identified, and conclusions will be drawn. A well-developed design for collecting data will be studied and implemented throughout the course. This class will prepare students for the optional Advanced Placement® exam for possible college credit. A graphing calculator is required for the course. The EHS Mathematics Department recommends the TI-84. Note: This is a year-long course. Students should register for all three courses.


ACT Prep

Typical Years the Course is Taken: 11, 12

Prerequisites: Currently enrolled in Algebra II or above

 

This class is recommended for college-bound juniors and seniors planning to take the ACT exam. Almost all undergraduate colleges and universities require that prospective students take the ACT. Taking this course will prepare students for all of the question types found on the ACT. We will analyze each of the test question areas and give special consideration to math and verbal refreshers and techniques aimed at relieving test-taking anxiety. Topics include sentence completions and reading comprehension for the reading section, grammar and essay writing for the writing section, scientific concepts for the science section, and basic and advanced math concepts (including fractions, decimals, percentages, ratios, proportions) and algebraic and geometric concepts for the math sections.  This class includes an additional fee to purchase resource materials.  Students will receive information on how to purchase these resource materials on the first day of class.

 

Algebra II Concepts

Typical Years the Course is Taken: 11, 12

Prerequisites: Intermediate Algebra I and Geometry

 

This course is for students who have had a full year of geometry. This course is designed for those students who need a slower pace. Students in this course will continue to learn to describe the world around them with algebraic expressions, equations, graphs, and statistics. Students may not enroll for this course if they have received credit for an Algebra II course. Some colleges and universities may not accept Algebra II Concepts in determining admission for students. College bound students are strongly urged to select a regular Algebra II course. The EHS Mathematics Department recommends the TI-84. Note: This is a year-long course. Students should register for all three courses.

 

Algebra II

Typical Years the Course is Taken: 11, 12

Prerequisites: Intermediate Algebra I and Geometry

 

This course is for students who have had a full year of geometry. Students in this course will continue to learn to describe the world around them with algebraic expressions, equations, graphs and statistics. Applications and calculators provide a context in the language of algebra. Topics studied in this course include linear, quadratic, exponential, logarithmic and trigonometric functions and matrices. A graphing calculator is required for this course. The EHS Mathematics Department recommends the TI-84. This is a year-long course. Students should register for all three courses.

 

 

Honors PreCalculus

Typical Years the Course is Taken: 11, 12

Prerequisites: C+ or higher in Honors Algebra II

 

Precalculus topics in this course include a review of elementary functions, advanced properties of functions, polar coordinates, complex numbers, trigonometry, vectors, limits, parametric equations, and an introduction to calculus. Discrete Algebra topics that are included are sequences, series, the Binomial Theorem, Pascal’s Triangle and mathematical induction. A graphing calculator is required for this course. The EHS Mathematics Department recommends the TI-84. Note: This is a year-long course. Students should register for all three courses. 

 

PreCalculus

Typical Years the Course is Taken: 11, 12

Prerequisites: Algebra II

 

This course is for students who have passed Algebra II. Precalculus topics include a review of the elementary functions, advanced properties of functions, polar coordinates, and complex numbers, trigonometry, vectors, limits, parametric equations, and an introduction to calculus. Discrete Algebra topics that are included are sequences, series, the Binominal Theorem, Pascal’s Triangle and mathematical induction. A graphing calculator is required for this course. The EHS Mathematics Department recommends the TI-84. Students may choose at the end of the year to take the CLEP PreCalculus Exam for college credit.  Note: This is a year-long course. Students should register for all three courses.

 

Advanced Placement® Computer Science

Typical Years the Course is Taken: 10, 11, 12

Prerequisites: Algebra II or Honors Geometry

 

AP® Computer Science is similar to an introductory computer programming course in many colleges. The course is taught with an emphasis on program design and the Java programming language. The primary topics include: basics of computer architecture; binary representations; use of variables; line-oriented input/output; assignment statements; conditional statements; looping constructs; arrays; methods and parameter use; using the Java Standard Library; object oriented constructs (instantiation, inheritance, interfaces); simple searching, simple sorting; basics of recursion. Students will spend the majority of their time designing, coding, and testing their own applications. Several student projects will be assigned throughout the school year. This course prepares the student for the Advanced Placement® exam for possible college credit. This is a year-long course -- students should register for all three trimesters of the course. Success in this course does not necessarily require getting high grades in previous math courses, but rather the ability to think abstractly and in an organized fashion. Having a strong personal work ethic is required for success in this class. AP® Computer Science counts as a math credit towards graduation at Eagan High School, but may not be accepted as a math credit by some colleges and universities.

 

Mobile Applications Development

Typical Years the Course is Taken: 11, 12

Prerequisites: AP Computer Science

 

The Mobile Applications Development Computer Science course is a class in which students will learn another programming language, explore Graphical User Interfaces (GUI), and create applications for general use. This course is designed to provide students with a real life experience in the full evolution of Application Development: conception, definition, creation, testing, deployment and support. Students will learn the Objective C programming language and the Xcode Integrated Development Environment tool set. There will be a focus on the Graphical User Interface for the iPad, iPhone and Mac platforms. There is NO NEED for the student to own an iPhone or iPad because the Xcode environment contains simulators for these target devices. This course will require students to find a working professional (the User) who needs an Application developed. Students will design an App which meets the requirements of the User and get agreement that the design meets the requirements of the User. Finally, the student will implement, test and deliver the App to the User. The first Trimester will focus on learning the new language and development tool set. The second and third trimesters will focus on specifications, design, development, testing and delivery of the Application by a team of students. Note: This is a year-long course. Students should register for all three courses. Mobile Applications Development Computer Science does not count as a math credit towards graduation at Eagan High School, nor is it accepted as a math credit by colleges and universities.

 

College Algebra, Probability & Statistics (CAPS)

Typical Years the Course is Taken: 11, 12

Prerequisites: Algebra II

 

College Algebra, Probability, and Statistics (CAPS) has been designed to meet the needs of SENIORS who have demonstrated an interest in continuing their mathematics study beyond Algebra II, but are not intending to pursue a post-secondary course of study with a math/science focus. The target group of students include those who demonstrate skills and abilities in mathematics that are greater than those needed for Tech Math but may be problematic for success in Pre-Calculus. Topics will include analyzing data, chance and probability, functions, and trigonometry. A graphing calculator is required for this course. The EHS Mathematics Department recommends the TI-84. Note: This is a year-long course. Students should register for all three courses.

 

Technical Math Applications

Typical Years the Course is Taken: 12

Prerequisites: Algebra II or Algebra II Concepts

 

This class is designed for students who have some difficulty with mathematics and rank in the lower or middle half of their class in mathematical success. A majority of the problems are related to real life situations. Tech Math is a combination of Algebra, Geometry and Algebra 2. It also covers topics such as Voting Methods, interest rates and other “real life” math situations. Note: This is a year-long course. Students should register for all three courses.

 

Advanced Placement® Calculus AB or BC

Typical Years the Course is Taken: 12

Prerequisites Calculus AB: Four full years of math; C+ or higher in Honors PreCalculus

Prerequisites Calculus BC: Four full years of math; B or higher in Honors PreCalculus

 

The AP® Program in mathematics includes two calculus courses. The two courses are designated as Calculus AB and Calculus BC. Both courses are full year courses, each with its own examination. Students pursuing careers in engineering and the physical sciences would benefit from these courses. They could begin their major curriculum earlier by meeting the calculus requirements by successfully passing the AP® Exam. Students taking Calculus BC will receive a subscore grade for Calculus AB based on performance on the portion of the exam devoted to Calculus AB topics. Both courses represent college-level mathematics. Students that pass the Calculus AB test may receive one college semester credit. Students that pass the calculus AB test may receive one semester worth of credit in college. Students that pass the calculus BC test may receive two semesters worth of credit in college.

 

Which course should a student take?
AB curriculum: Many majors in postsecondary education require some mathematics and the AB exam credit would satisfy the requirement. BC curriculum: Students pursuing careers in engineering and the physical sciences would benefit from selecting the BC level calculus course. They could begin their major curriculum earlier by meeting the calculus requirements through the credits earned by successfully passing the Advanced Placement® exam.

 

 

Multivariable Calculus

Typical Years the Course is Taken: 12

Prerequisites: Successful completion of Advanced Placement Calculus BC class and passing score on the AP exam

 

Multivariable Calculus is a concurrent enrollment course taught at Eagan High School, but earns college credit through Minneapolis Community and Technical College.  The prerequisite for this course is a passing score on the BC Calculus test.  This course covers algebra and geometry of vectors in two and three-dimensional space; velocity, acceleration and curvature; functions of several variables; partial derivatives and chain rule; max/min problems; Lagrange multipliers; double and triple integrals; parametric form of curves and surfaces; polar, cylindrical and spherical coordinates; integration on curves and surfaces; vector fields; theorems of Green and Stokes; and Divergence Theorem.  This is a year-long course, so students should register for all three trimesters.  

 

 

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