# Mathematics

It is the goal of the math department to have every student be successful in each math class that he/she takes. A student who is contemplating a mathematics-oriented career such as engineering or architecture should include as much math in his/her schedule as possible. Mathematics is important for each student whether you are planning on attending a technical college or a four-year college. All students are required to complete at least 6 credits in mathematics, including two credits in Advanced Algebra and one credit in Probability and Statistics.

## Algebra

#### Intermediate Algebra 9

**Grade: 9** This is a course that will review some of the basics of algebra and then continue into the study of linear algebra, coordinate and linear graphing, quadratic functions, and radicals. It will include topics to meet the Minnesota Graduation Standards in algebraic functions, computations, and operations.

#### Linear & Quadratic Algebra

**Grade: 9** This course will review some of the basics of algebra and then continue into the study of linear algebra, coordinate and linear graphing, quadratic functions and radicals. This course will also include topics to meet the MN Graduation Standards in algebraic functions, computations, and operations. If time allows, the course will cover a few basic geometry concepts to help students transition to geometry in the following year.

#### Quadratic Algebra

**Grade: 9** This course includes topics such as quadratic functions and radicals. This course will also include topics to meet the Minnesota Graduation Standard algebraic functions, computations, and operations.

## Calculus

#### Pre-Calculus

**Grades: 11, 12** *Prerequisite: Advanced Algebra or Honors Advanced Algebra*

Topics covered include polynomial, power, rational, exponential, logistic, logarithmic, and trigonometric functions, along with applications of all, and some work with conic sections.

#### Honors Pre-Calculus

**Grades: 11, 12** *Prerequisite: Honors Advanced Algebra or Advanced Algebra or with approval of math department. *

This course is setup to ensure that students will be able to take the AP Calculus course. Students will need graphing calculators. This course should be taken only by students of high mathematical ability who have demonstrated strong motivation and willingness to work independently. Topics include: coordinate geometry, polynomials, inequalities, power functions, trigometric relationships, comparative graphing, vectors, polar and parametric equations, matrices, conic sections, sequences and series, and be introduced to calculus.

#### Calculus

**Grades: 11, 12** *Prerequisite: Successful completion of Pre-Calculus or Honors Pre-Calculus.*

This course is designed for high-potential mathematics students. It should only be taken by students of high mathematical ability who have demonstrated strong motivation and willingness to work independently. The course will cover limits and continuity, derivatives and applications, the definite integral, and integrals and applications.

#### AP Calculus

**Grades: 11, 1**2 *Prerequisite: Successful completion of Honors Pre-Calculus. *

This course is designed for students who would like to earn one semester college credit by passing the AP test. Topics include limits, derivatives, and integrals. Students will investigate concepts using analytical, graphical, numerical, and verbal methods. Students will need to be proficient in the use of a graphing calculator to explore and graph functions, solve equations, compute derivatives and integrals numerically, as well as analyze and interpret, and justify and explain results. Students will evaluate limits and use them to find derivatives and integrals. Students will learn when to use and how to calculate the values of derivatives and integrals.

## Geometry

#### Intermediate Geometry

**Grades: 10, 11** *Prerequisite: Successful Completion of Intermediate Algebra and/or Teacher Recommendation. *

This course is not recommended for college-bound students. This is an introduction to the study of plane and solid geometry. An integrated approach emphasizes applications of geometry to familiar objects and situations. Topics include logic, inductive and deductive reasoning, introduction to formal proof, similar and congruent figures, transformations, areas and volumes, introductions to trigonometry, coordinate geometry, and properties of circles and polygons.

#### Geometry

**Grades: 9, 10, 11** This is an introduction to the study of plane and solid geometry. An integrated approach emphasizes applications of geometry to familiar objects and situations. Topics include logic, inductive and deductive reasoning, introduction to formal proof, similar and congruent figures, transformations, areas and volumes, introduction to trigonometry, coordinate geometry, and properties of circles and polygons.

#### Honors Geometry

**Grade: 9** Honors courses have increased rigor and pace. This course is intended to meet the standards in logic, inductive and deductive reasoning, formal proof, similar and congruent figures, transformations, areas and volumes, coordinate geometry and properties of circles and polygons.

#### Intermediate Advanced Algebra

**Grades: 10, 11, 12** *Prerequisite: Successful completion of any Geometry course, Teacher Recommendation*

This course is not recommended for college-bound students. Designed to enhance the skills learned in algebra, Intermediate Advanced Algebra emphasizes solving various types of equations and sentence problems. Factoring, exponents, inequalities, and radical expressions are considered. The course also includes the study of complex numbers, quadratic equations, variation, systems of equations, logarithms, and trigonometry. Advanced Algebra 3322-3332 may be taken after successful completion of this course.

#### Advanced Algebra

**Grades: 10, 11, 12** *Prerequisite: Geometry 3241 or Honors Geometry 3271 *

Designed to enhance the skills learned in algebra, Advanced Algebra emphasizes solving various types of equations and sentence problems. Factoring, exponents, inequalities, and radical expressions are considered. This course includes the study of complex numbers, quadratic equations, analytic geometry, variation, systems of equations, logarithms, and trigonometry. This course is recommended for college-bound students.

#### Honors Advanced Algebra

**Grades: 10, 11** *Prerequisite: Honors Geometry 3271 and/or approval of math department *

A high-potential advanced algebra class that uses a rigorous approach, this course should be taken only by those with high mathematical ability. A willingness to work independently is expected. Topics include: linear equations and systems, function notation, exponential functions, complex numbers, quadratic equations, variation, conic sections, logarithms, and trigonometry.

## Statistics

#### Probability and Statistics

**Grades: 11, 12** *Prerequisite: Successful completion of an Adv. Algebra course.*

Students will apply algebraic skills to solving problems in the fields of probability and statistics. Topics include measures of central tendency, variability, confidence intervals, and hypothesis testing. Students will develop an awareness and appreciation for the applications of probability and statistics in a technological and informationoriented society.

#### Honors Economics and Statistics

Grades: 11, 12 *Prerequisite: Advanced Algebra and Teacher Recommendation *

This is a two term team taught class that would fulfill both the social studies economics requirement and the math probability and statistics requirement. The focus of this class is to show how economics and mathematics are integrated into our daily lives. Relevant economics issues will be analyzed using economic concepts and mathematical principles. Higher order math will be performed. Tests and assigned papers specific to both economics and statistics will be required.