Mathematics

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Graduation Requirements

3 credits of Math

Advanced Career Endorsement Requirements

3 credits of Math

Advanced Endorsement Requirements

3 credits of Math

Advanced Honors Endorsement Requirements

4 credits of Math

PRE-ALGEBRA I

MAA-2081/2082

Length/Credit:      One Year, 1 credit

Prerequisite:         Open to grade 9-11

Counselor approval required.

Our Pre-Algebra course is an introduction to basic algebra concepts and a review of arithmetic algorithms. The course emphasizes the concepts necessary to be successful in Algebra 1. The course helps students develop good mathematical study skills and learning strategies. Students will explore algebraic expressions and integers, solve one and two-step equations and inequalities, factors, fractions, exponents, linear functions, and nonlinear functions.

ALGEBRA I

MAA-3011/3012

MAAN3011/3012 PBL Academy at Jefferson

Length/Credit:      One Year,  1 credit

Prerequisite:          None, Open to grade 9-12

Algebra 1 is a year-long course that focuses on linear, quadratic, and exponential relationships. Investigations will include an emphasis on the algebraic manipulation of expressions, equations, and inequalities; on systems of equations and inequalities as well as recursive linear and geometric patterns; and representing equations, including graphing, transformations, and modeling with functions. Algebra 1 will include a review of operations with real numbers and a focus on linear, quadratic, and exponential relationships based on data. Problem solving skills play a major role in the course, and students will learn how to apply data collected from real world situations.

INVESTIGATIVE ALGEBRA I

MAA-2061/2062

Length/Credit:      One Year, 1 credit

Prerequisite:          None, Open to grade 9-12 

Counselor approval required.

Investigative algebra is designed to build mathematical and language skills. The course covers linear equations, inequalities, linear functions, statistics, properties of exponents, polynomials, and quadratics.

GEOMETRY

MAG-3011/3012

MAGN3011/3012 PBL Academy at Jefferson

Length/Credit:      One Year, 1 credit

Prerequisite:          Algebra I, Open to grade 9-12 

This course will follow the South Dakota State standards by:  using geometric terminology in written and oral communications; demonstrate reasoning skills using logic and proofs: demonstrate understanding of parallel and perpendicular lines and angles; demonstrate problem-solving strategies to find measurements of polygons and circles; discover relationships of geometric shapes and data generated by technology; solve formulas to find the areas and volumes of plane and solid figures; use trigonometric relationships to find lengths and angles of right triangles; explore properties of transformations, probability, similarity, triangle congruence; and apply statistical reasoning to problem solving.  

ACCELERATED GEOMETRY

MAG-4011/4012

Length/Credit: One Year, 1 credit

Prerequisite: Algebra I, Open to grade 9-12

This course will follow the South Dakota State standards by: using geometric terminology in written and oral communications; demonstrate deep reasoning skills in presenting logic and proofs; demonstrate understanding of parallel and perpendicular lines and angles; demonstrate multiple problem-solving strategies to find measurements of polygons & circles; demonstrate an understanding of geometric constructions; discover relationship of geometric shapes and data generated by technology; solve formulas to find the areas and volumes of two-and-three-dimensional figures; use trigonometric relationships to find lengths and angles of right triangles; deepen previous knowledge on the properties of transformation; apply statistical reasoning to problem solving; explore probability, similarity, and triangle congruence.

ALGEBRA II

MAA-3031/3032

MAAN3031/3032 PBL Academy at Jefferson

Length/Credit:      One Year, 1 credit

Prerequisite:          Algebra I , Open to grade 9-12 

Geometry, or Accelerated Geometry recommended.

This course will follow the South Dakota State standards Students will solve quadratic equations;  solve systems of equations graphically and algebraically, evaluate expressions with radicals and exponents; find complex solutions; solve exponential, rational, polynomial, and radical equations; study polynomial, exponential, rational functions, absolute values, probability, and statistical relationships; unit circle trigonometry; trigonometric ratios; analyze sine and cosine graphs.

ACCELERATED ALGEBRA II

MAA-4011/4012

Length/Credit:      One Year, 1 credit

Prerequisite:          Algebra I , Open to grade 9-12 

Accelerated Geometry recommended.

This course will follow the South Dakota State standards. Students will solve quadratic equations; solve systems of equations graphically and algebraically; evaluate expressions with radicals and exponents; find complex solutions; solve exponential, rational, polynomial, and radical equations; study polynomial, exponential, logarithmic, simplify rational expressions rational functions, absolute values, matrices, probability, and statistical relationships; unit circle trigonometry; trigonometric ratios; analyze sine and cosine graphs.

MATH FOR COLLEGE READINESS

MAM-3011/3012

Length/Credit:      One Year, 1 credit

Prerequisite:         Algebra II, Open to grade 10-12

Math for College Readiness is intended to build a foundation for students progressing to College Algebra. Topics studied in the course will include: solving linear equations, graphs of linear functions, linear systems of equations, solving and graphing inequalities, polynomial functions & expressions, rational functions & expressions, radical functions & expressions, quadratic functions & expressions, exponential & logarithmic functions, and conic sections.

COLLEGE ALGEBRA

This may be taken as a Dual Credit course.

LLM-4031/4032

Length/Credit:      One Year, 1 credit

Prerequisite:         Algebra II, Open to grade 11-12

This is taken as a  Dual Credit course. Students must meet Dual Credit requirements and are responsible for Dual Credit fees and course materials.

This course is a study of the theory and application of functions including function notation, graphs, inverses, polynomial, rational, exponential, logarithmic, and other functions. May also include additional topics such as sequences, series, the binomial theorem, linear system, matrices, or complex numbers.

ACCELERATED PRECALCULUS

MAC-4021/4022

MACN4021/4022 PBL Academy at Jefferson

Length/Credit:      One Year, 1 credit

Prerequisite:          Geometry and Algebra II, Open to grade 9-12 

Accelerated Geometry and Accelerated Algebra II recommended.

Students in this course will demonstrate algebraic skills; solve equations and inequalities algebraically and graphically; analyze polynomial, rational, exponential, and logarithmic functions; study conics and matrices; analyze trigonometric and inverse trigonometric functions; apply the law of sines, law of cosines, parametric and vector concepts to real world situations; perform operations with polar equations and complex numbers in trigonometric form; determine limits; find derivatives; write equations of tangent lines.

AP CALCULUS

MAC-5011/5012

Length/Credit:      One Year, 1 credit

Prerequisite:          Accelerated Precalculus, Open to grade 10-12 

Students are expected to take the AP exam.

AP Calculus is the study of limits, derivatives, and integrals used in modeling physical, biological and economic situations. Functions, concepts, results, and problems are expressed analytically, numerically, graphically, and verbally. Students must have knowledge of the properties, the algebra, and the graphs of linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric and piecewise-defined functions. Students will be prepared for the Calculus AB examination.

AP STATISTICS

MAS-5011/5012

Length/Credit:      One Year, 1 credit

Prerequisite:          Algebra II, Open to grade 10-12 

Students are expected to take the AP exam.

Explore and analyze data using graphical and numerical techniques; plan and implement data collection; use probability to analyze distributions of data; determine appropriate models of statistical inference; make decisions based on confidence intervals and tests of significance.

CONSUMER MATH I

MAM-2030

Length/Credit:      One Semester, 0.5 credit

Prerequisite:          None, Open to grade 10-12

Consumer Math I  & II are NOT sequential classes. One is not required prior to or after the other. This class does not qualify for the 4th math class required for the South Dakota Opportunity Scholarship. 

This course provides the opportunity for students to apply mathematical skills to a variety of consumer and business situations. It encourages students to become better consumers and to apply key concepts from Algebra in practical consumer situations. Consumer Math I will cover topics in the areas of the stock market, business finances, consumer credit cards and banking services. 

CONSUMER MATH II

MAM-2040

Length/Credit:      One Semester, 0.5 credit

Prerequisite:          None, Open to grade 10-12

Consumer Math I  & II are NOT sequential classes. One is not required prior to or after the other. This class does not qualify for the 4th math class required for the South Dakota Opportunity Scholarship. 

This course provides the opportunity for students to apply mathematical skills to a variety of consumer and business situations. It encourages students to become better consumers and to apply key concepts from Algebra in practical consumer situations. Consumer Math II will cover topics in the areas of automobile ownership, employment, income taxes, independent living, retirement and budgets.

APPLIED MATH

MAM-2071/2072

Length/Credit:      One Year, 1.0 credit

Prerequisite:         Algebra I or Investigative Algebra

This class does not qualify for the 4th math class required for the South Dakota Opportunity Scholarship. 

Applied Math is a year long course that uses number sense and measurement skills to problem solve applicable situations in various career and job trades. Each unity of study will include an emphasis on the math skills needed to complete real world case studies. Case studies may include but are not limited to: leasing vs financing a vehicle, investigating rate of metabolism, ordering materials for building and renovations. This course provides students the practical mathematic skills needed in a wide variety of trade, technical, and other occupational areas, including plumbing, culinary arts, automotive, electrical and construction trades, machine technology, landscaping, HVAC, health careers and many more.