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Mathematics

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Classes offered in the area of math each year are: Algebra*, Geometry*, Advanced Algebra*, AP Pre-Calculus*, AP Statistics*, and AP Calculus*. Rotating classes are: Mathematical Problem Solving and Applied Math I and II.

Colleges and universities require a minimum of three credits of math. Only the courses designated with a * above are accepted as a math credit by a majority of colleges and universities.

All students are required to fulfill all prerequisites before taking a course. If a student does not meet the prerequisite but would still like to take a course, they must complete the Mathematics Course Approval Form. No exceptions will be made. Students wishing to enroll in more than one mathematics class in the same semester must also complete this form. A passing grade is considered a D-or higher in both semesters.

Algebra

Prerequisite: Passing grade in Pre-Algebra/placement test or teacher recommendation

1 year, 1 credit

Grade 8-12

This class is typically taken in 9th grade. The topics covered in Algebra are a review and expansion of Pre-Algebra concepts, graphing, linear, quadratic, and exponential relationships, applications through word problems, exponents, rational and radical algebraic equations, and inequalities. Emphasis will be on using a variety of strategies to solve mathematical problems


Geometry

Prerequisite: Passing grade in Algebra

1 year, 1 credit

Grades 9-12

This class is typically taken in 10th grade. Geometry is a branch of mathematics that studies the relationship between points, lines, angles, surfaces, and solids. It provides an opportunity for students to learn to think and reason mathematically by using various types of reasoning skills and to apply skills learned in Algebra. Students will solve problems relating to various geometrical figures, learn about the history and applications of geometry, and accomplish proofs to better understand concepts in geometry.


Advanced Algebra

Prerequisite: Grade of C or higher in Algebra both semesters or Mathematics Course Approval Form signed by required parties.

1 year, 1 credit

Grades 9-12

Advanced Algebra is partly an extension of Algebra, wherein topics studied are covered more in depth. This is an advanced and rigorous course for students planning to continue to Pre-Calculus. In addition, several new topics are introduced, including imaginary numbers, trigonometry, conic sections, logarithms, matrices, functions, sequences, series, permutations, combinations, and probability.


AP Pre-Calculus

Prerequisite: Grade of C or higher in Advanced Algebra both semesters or Mathematics Course Approval Form signed by required parties

1 year, 1 credit (This course will be weighted)

Grades 10-12

AP Pre-Calculus will prepare students for other college-level mathematics and science classes. The skills learned in this course are foundational not only for success in required college math courses, but also to careers in math, physics, biology, health science, data science and social science. The class is made up of four units covering Polynomial and Rational Functions, Exponential and Logarithmic Functions, Trigonometric and Polar Functions, and Functions Involving Parameters, Vectors, and Matrices. After completion of this course, students will be prepared to take the AP Pre-Calculus Exam.


AP Calculus

Prerequisite: Grade of C or higher in AP Pre-Calculus both semesters or Mathematics Course Approval Form signed by required parties.

1 year, 1 credit (This course will be weighted)

Grades 11-12

This course follows Pre-Calculus and is similar to first semester college Calculus. Beginning with limit and continuity, the course moves into derivatives and their applications, such as curve sketching, related rates, maximum-minimum problems and linear approximations. Integration is then studied, along with its applications. Further topics include trigonometric, exponential and logarithmic functions and their derivatives, along with applications such as exponential growth and decay. The course concludes with special integration techniques such as integration by parts, trigonometric substitution, and the use of tables. (Graphing calculator required.) After completion of this course, student will be prepared to take the AP Calculus Exam AB.


AP Statistics

Prerequisites: Grade of C or higher in Advanced Algebra both semesters or Mathematics Course Approval Form signed by all required parties.

1 year, 1 credit (This course will be weighted)

Grades 11-12

Statistics is the study of data – how to gather it, analyze it, interpret, and draw conclusions from it. In the first semester of AP Statistics, students will learn statistical techniques to analyze and interpret data, use probability and two-way tables to explore the ideas of independence and likelihood, learn to design studies and experiments that minimize bias and variability, and build the concept of a probability distribution to explore more complex ideas in probability that arise in data analysis. In the second semester, students will use probability distributions to build the idea of a sampling distribution as a measure of bias and variability in an estimate, then use sampling distributions to motivate an understanding of statistical inference – confidence intervals and hypothesis tests – including inference for proportions, means, categorical distributions using chi-squared distributions, and slopes of linear regression equations.


Applied Mathematics I

1 year, 1 credit (offered alternate years)

Grades 9-12

This course covers a variety of topics, such as whole numbers, fractions, decimals, percents, proportions, geometry and measurement, algebra, and data and graphs, which are designed to foster interest in and show the applicability of mathematics. Students will develop useful mathematics skills through engaging exercises that relate to their lives. They will investigate concepts, work collaboratively, share ideas orally and in writing, and discover multiple ways to solve problems.


Applied Mathematics II

Prerequisite: Students must have passed either Applied Mathematics I, Pre-Algebra, or Algebra

1 year, 1 credit (offered alternate years)

Grades 9-12

Students continue to develop math and problem solving skills while learning how to apply geometry, algebra, and physics to real-life situations. The course will cover topics ranging from area and volume to trigonometry and quadratics. It helps students to understand the importance and relevance of mathematics in their future.

The University of Wisconsin System accepts completion of Applied Mathematics I AND Applied Mathematics II as the equivalent of completion for Introduction to Algebra AND Algebra I.


Mathematical Problem Solving

1 year, 1 credit (offered alternate years)

Grades 9-12

This is an applied, problem-centered course, which includes the focus of the retention and/or acquisition of computation skills with the purpose of the further development of basic mathematical concepts. Areas of study include positive and negative numbers, fractions, decimals, percents, and measurements. Elements of Algebra, Geometry, and Statistics are taught throughout the course.


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