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Mathematics Curriculum

Mathematics provides the opportunity to develop problemsolving and critical thinking skills necessary for success in daytoday life. The mathematics curriculum offered reflects the rapid changes in our society with its increasing demand on mathematics. Mathematics is an experience that requires student involvement, effort, and serious study. By completing the general fouryear curriculum, students have available to them many exciting and challenging career opportunities. Although all courses are electives, three oneyear math credits are required for graduation. Most North Dakota colleges require three math credits for enrollment.
Course Descriptions

21st Century Math Skills
This intervention class is geared for students in Algebra I, Geometry, and Algebra II that are struggling and/or failing. This intervention will run alongside the Algebra and Geometry courses to preteach, reteach, enrich, and remediate for the students that qualify in order to prevent against lowering/altering standards for the existing curriculum and increase achievement. Offered at WFHS only.

Algebra I
Algebra I is designed to develop the algebraic and problem solving skills necessary for future study in mathematics. The topics covered deal with real numbers, solving and graphing equations and inequalities, factoring polynomials, algebraic fractions and simplifying radical expressions. This course includes lectures, classroom practice, and daily homework assignments. Algebra I is one of the three required math courses needed for admission to a fouryear public college or a university in North Dakota. Offered as either a block or skinny.

Algebra II
This course builds upon the topics that were taught in Algebra I and Geometry. The topics covered will include, but not be limited to, matrices, basic properties of real and complex numbers, solving equations and inequalities in one, two and three variables, absolute value, exponents, factoring, polynomials, exponential functions, logarithms, sequences and series, statistics, and probability. Students are involved in a questionanswer class format with some lecture. Students have daily assignments and are assessed using quizzes and tests. The course is taught for those students who wish to learn more about the process of problem solving by using algebra. Algebra II is needed to continue a student’s education into higher levels of mathematics and is one of the required math courses for entrance into North Dakota universities. Offered as either block or skinny.

AP Calculus AB
This full year course is designed to teach students how to analyze and graph functions, understand the concepts of limits, differentiation, and integration, as well as an introduction to more advanced topics in calculus. Approximately 30 days are set aside for review for the AP exam. This time will be spent reviewing multiple choice and free response questions from previous years tests. It is taught primarily through lecture presentations as well as question and answer format. This is a good course for students interested in mathematics or science related fields. Prerequisite elective courses are precalculus and trigonometry.

AP Calculus BC
Following the College Board's suggested curriculum designed to parallel collegelevel calculus courses, AP Calculus BC provides students with an intuitive understanding of the concepts of calculus and experience with its methods and applications, and also require additional knowledge of the theoretical tools of calculus. AP Calculus BC includes all of the topics in AP Calculus AB as well as advanced integrating techniques (integration by parts, partial fractions, trigonometric integrals, improper integrals); Euler’s method; differential equations for logistic growth; parametric, polar and vector functions; convergence tests for series; Taylor and Maclaurin polynomial approximations; Lagrange error bound for Taylor polynomials; radius and interval of convergence of a power series.
Prior to this course, students are required to complete one semester of precalculus and one semester of trigonometry. AP Calculus BC is an extension to AP Calculus AB rather than an enhancement; it offers students the opportunity to receive credit that is one course beyond that granted for AP Calculus AB. AP Calculus BC is particularly recommended to students whose college degree requirements include Calculus I and Calculus II (engineering, mathematics, chemistry, physics, and biological sciences).

Calculus
This course is designed as an introduction to Calculus. Students will learn how to analyze and graph functions. The concepts of limits, differentiation, and integration will be introduced. This course is a natural progression for students who take Algebra I as a freshman, Geometry as a sophomore, Algebra II as a junior, and Trigonometry and Calculus as a senior. The course is taught through lecture, presentation of new material, question and answer, the use of manipulatives, and videos.

College Algebra (Dual Credit)
This course will enrich the curriculum taught in Algebra II. The topics covered will include relations and functions, equations and inequalities, real and complex numbers; numerical, graphical and symbolic view of functions; linear, quadratic, polynomial, rational, exponential and logarithmic functions, systems of equations, matrices and determinants, sequences and series. Emphasis will be on using realdata application. (Can be taken for dual credit with NDSCS; however the dual credit will transfer to most colleges). This course is not intended for students majoring in math in college.

Consumer Math
This course attempts to provide the student with the necessary math skills to handle financial matters. A strong emphasis will be placed on the basic math operations of whole numbers, percentages, fractions, decimals, reading tables, and graphs. Some topics to be covered will be jobs and work topics, basic purchases, banking, credit, auto expenses, taxes, housing costs, personal finance, insurance, investments, and planning for retirement. The course is taught through lecture, discussion, question and answer method, videos, and guest speakers. Consumer Math is recommended for any high school student.

Geometry
Geometry stresses the basic definitions of geometry and proficiency in formal proofs. Space geometry and plane geometry are integrated. Algebraic skills are reinforced as they are used to solve geometric problems. In addition, the course includes trigonometry, area, volume, coordinate geometry, and constructions. The course is taught through lecture, textbook exercises, worksheets, quizzes, tests, and computer use of Geometer’s Sketchpad. Students will further develop logic and spatial relationships. This course qualifies as one of the math requirements for university entrance. Offered as either a block or skinny.

Statistics (Dual Credit)
An introduction to statistical methods of gathering, presenting and analyzing data; estimating means, proportions, confidence intervals and testing hypotheses; probability distributions; and linear regression and correlation.

TransMath I  III
Transmath is a masterybased intensive intervention that provides key foundational skillbuilding and problemsolving strategies needed to be successful in Algebra. Students are placement tested into one of the three levels and will continue on to the next level. Upon completion of level three, students will take Algebra 1. Transmath I focuses on developing number sense. This includes addition, subtraction, multiplication, division, factors, fractions, etc. Transmath II focuses on making sense of rational numbers. This includes multiplying and dividing fractions, mixed numbers, decimal numbers, percent’s, integers, etc. Transmath III focuses on understanding algebraic expressions. This includes variable, inequalities, algebraic patters, expressions, equations, square roots, irrational numbers, etc.

Trigonometry
Trigonometry covers the trigonometric functions as they apply in right angle situations, complex numbers, vectors, basic trigonometric identities, law of triangles, and circular functions. Work requirements will be similar to those of a college course. It is taught primarily through lecture. Trigonometry is taught to increase students’ understanding of real world applications and to prepare students for calculus.