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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 learners in Algebra I, Geometry, and Algebra II that need extra support. This intervention will run alongside the Algebra and Geometry courses to preteach, reteach, enrich, and remediate for the Learners that qualify to prevent against lowering/altering standards for the existing curriculum and increase achievement.

Algebra I
Algebra I is designed to develop the algebraic and problemsolving 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.

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.

Algebra Readiness
Algebra Readiness is a masterybased intensive intervention that provides key foundational skillbuilding and problemsolving strategies needed to be successful in High School Mathematics. Concepts in operations with integers, ratio and proportional reasoning, and basic algebra concepts.

AP Calculus AB
This full year course is designed to teach learners 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.

AP Calculus BC
AP Calculus BC provides learners 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 the topics in AP Calculus AB as well as advanced integrating techniques; 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.

Calculus
This course is designed as an introduction to Calculus. Learners will be taught how to analyze and graph functions. The concepts of limits, differentiation, and integration will be introduced.

College Algebra (Dual Credit)
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.

Consumer Math
This course attempts to provide the learner with the necessary math skills to handle financial matters. A strong emphasis will be placed on the mathematical concepts and skills connected to basic purchases, banking, credit, auto expenses, taxes, housing costs, personal finance, insurance, investments, and planning for retirement.

Geometry
Geometry, emphasizing an abstract, formal approach to the study of geometry, typically includes topics such as properties of plane and solid figures; deductive methods of reasoning and use of logic; geometry as an axiomatic system including the study of postulates, theorems, and formal proofs; concepts of congruence, similarity, parallelism, perpendicularity, and proportion; and rules of angle measurement in triangles.

PreAlgebra
PreAlgebra is a masterybased intensive intervention that provides key foundational skillbuilding and problemsolving strategies needed to be successful in Algebra. Concepts in operations in rational numbers, linear equations, and linear functions.

PreCalculus
Precalculus combines the study of Trigonometry, Elementary Functions, Analytic Geometry, and Algebra topics as preparation for calculus. Topics typically include the study of complex numbers; polynomial, logarithmic, exponential, rational, right trigonometric, and circular functions, and their relations, inverses and graphs; trigonometric identities and equations; solutions of right and oblique triangles; vectors; the polar coordinate system; conic sections; Boolean algebra and symbolic logic; mathematical induction; matrix algebra; sequences and series; and limits and continuity.

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 like those of a college course. It is taught primarily through lecture. Trigonometry is taught to increase learners’ understanding of realworld applications and to prepare learners for calculus.