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Mathematics

COURSE DESCRIPTIONS

Basic Courses - Student Placement Based on ISAT Score and Counselor / Instructor Recommendation
Functional Math
2 Credits
2 Semesters
Application of basic math skills to daily living situations. Emphasis is on rounding whole numbers, multiplications and division problems, learning grocery store shopping, the checkbook and measurements.
 
Pre-Algebra
2 Credits
2 Semesters
The following units are taught in this course:  estimation, add/subtract/multiply/divide decimals, percents, and fractions, exponentiation, word problems, standard and metric measurement, simple and multi-step equations, using formulas, Algebraic expression, volume, polygons, lines, angles, graphing, right triangles, graphing, and ratio/proportion.
 
Intermediate Math
2 Credits
2 Semesters
Materials: Scientific Calculator is Required
This course is only offered in conjuction with the math lab class. It is designed for the purpose of getting the student a complete understanding of the Algebra I curriculum over a two period per day block of time.
The student will examine the complete real number system and its structure through the development of algebraic language and skills. Major skills covered are graphing, writing, and solving linear equations and solving quadratic equations.
In the first semester, students will be able to explore expressions, equations and functions and rational numbers, solve multi-step linear equations, apply proportions and percents, graph relations and functions and analyze / solve linear equations.
In the second semester, students will solve systems of linear equations and inequalities, explore polynomials using the rules of exponents, factor polynomials, explore rational and radical expressions and equations and solve quadratic equations using the quadratic formula, use scientific notation and use the Pythagorean Theorem to find the distance and the midpoint formulas.
Discovery Geometry
2 Credits
2 Semesters
This course is designed for students who would struggle with traditional geometry and is slower paced to ensure student success. The course covers the concepts as described in Geometry, below.
 
 
Standard Courses Available to Proficient Students
Algebra 1
2 Credits
2 Semesters
Materials: Scientific Calculator is Required
The student will examine the complete real number system and its structure through the development of algebraic language and skills. Major skills covered are graphing, writing, and solving linear equations and solving quadratic equations.
In the first semester, students will be able to explore expressions, equations and functions and rational numbers, solve multi-step linear equations, apply proportions and percents, graph relations and functions and analyze / solve linear equations.
In the second semester, students will solve systems of linear equations and inequalities, explore polynomials using the rules of exponents, factor polynomials, explore rational and radical expressions and equations and solve quadratic equations using the quadratic formula, use scientific notation and use the Pythagorean Theorem to find the distance and the midpoint formulas.
 
 
Geometry
2 Credits
2 Semesters
Materials: Scientific Calculator is Required
Some of the concepts studied in elementary Algebra will be helpful to the student’s understanding of Geometry. Geometry is valuable because of its wide variety of applications to other subjects such as astronomy, art and chemistry. Through the use of logic and imagination, the student will examine and apply the postulated structure of Euclidean Geometry.
In Semester 1, students will be discovering points, lines, planes angles, connecting reasoning and proof, using perpendicular and parallel lines, identifying congruent triangles, investigating special segments and inequalities in triangles and exploring quadrilaterals.
In the second semester, students will be able to connect proportion and similarity, apply right triangles and trigonometry, analyze circles, explore polygons and area, investigate surface area and volume and continue coordinate geometry.
 
Algebra 2
2 Credits
2 Semesters
Advanced algebra provides concepts and skills that will unlock the mysteries and magic of science, engineering, architecture, design, health sciences, and mathematics. Some concepts presented in Geometry will be most helpful to the student of Advanced Algebra. Major skills covered are a study of higher degree polynomials, logarithms and exponents, conics, and sequences and series.
First semester includes topics such as analyzing equations and inequalities, graphing linear relations and functions, solving systems of linear equations, inequalities and quadratic equations, investigating polynomial functions, performing arithmetic operations with complex and irrational numbers, solving radical equations and working with rational exponents
In the spring, students will solve and graph exponential and logarithmic functions, graph rational functions, solve rational functions, analyze the four conic sections, investigate sequences and series and investigate probability.
 
Applied Math
2 Credits
2 Semesters
This class provides students with "hands on" approach to focus on topics with application to business and marketing, health occupations, consumer science, agriculture and agribusiness, and industrial technology.
In the first semester, students will solve problems with powers and roots, use formulas to solve problems, solve problems that involve linear equations, graph lines and data, solve and graph systems of equations, inequalities and problems that involve nonlinear equations.
In the spring semester, students will be using patterns and functions, using right triangle relationships and trigonometry, working with statistics and probability, using spatial visualization, using transformations and using logic with inductive and deductive reasoning.
 
 
Advanced Courses for Deeper / Broader Study 
Honors Pre-Calculus
2 Credits
2 Semesters
Sets, functions, complex numbers, graphing, exponential and logarithmic functions, are expanded from  Algebra 2. New topics introduced will include trigonometry, analytic geometry, mathematical induction, sequence and series.
In semester 1, students will perfect their use of linear relations and functions,  linear irregularities, graphs of polynomial and rational functions, derivative and critical points of graphs, quadratics and radical equations, remainder and factor theories, graphs of inverses, definition of trig functions, law of sines and cosines, right-triangle trigonometry, and graphs of trigonometry functions and equations for inverses.
In semester 2, students will use trigonometry identities and solve trig equations, polar coordinates and complex numbers, conics,  sequences series, limits, statistics and data analyses.
 
AP Calculus
2 Credits
2 Semesters
This course includes a study of functions, limits, differentiation, integration, transcendent functions and applications of each. It is equivalent to the first semester and about half of the second semester of Calculus at the college level.
The first semester contains the following core topics: the Cartesian plane and functions, limits and their properties, differentiation, and applications of differentiation.
In the 2nd semester, students will practice integration, logarithmic, exponential and other transcendental functions, applications of integration, integration techniques, L’Hopital’s Rule and improper integrals.
This course prepares students to take the AP Calculus AB examination in May. This course may be offered online through the Idaho Digital Learning Academy if unable to be offered on campus.  Please note that students will need to purchase their own textbooks and materials for this course.
Honors Calculus
2 Credits
2 Semesters
 
 
Math Studies
2 Credits
2 Semesters
Many concepts learned in algebra, geometry and advanced algebra will be studied through a graphical approach. Other applications of mathematics in finance, statistics, probability, and even trigonometry will be presented. The class is not theory-based, and the concepts can be managed quite well by most students, even those who struggled with advanced algebra, proving they have a good work ethic and desire to learn. The class also offers the student a chance to use a graphic display calculator and a computer spreadsheet in order to calculate, display, and graphically present data.   Regular attendance is essential for success.
 
 
Statistics
2 Credits
2 Semesters
This course will introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data.
Students are exposed to four broad conceptual themes:
Exploring Data: Describing patterns and departures from patterns
Sampling and Experimentation: Planning and conducting a study
Anticipating Patterns: Exploring random phenomena using probability and simulation
Statistical Inference: Estimating population parameters and testing hypotheses
This course draws connections between all aspects of the statistical process, including design, analysis, and conclusions. Additionally, using the vocabulary of statistics this course will teach students how to communicate statistical methods, results and interpretations. Students will learn how to use graphing calculators and read computer output in an effort to enhance the development of statistical understanding.

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Paul Danelo
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Derek Edwards
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Eileen Gruenwald
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Jan Johnson
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Richard Kleven
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Tim Kohal
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Brent Little
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Dale Poffenroth
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Anne Romeo
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Kari Tapia
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Lisa Walker
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