Integrated* Advanced Algebra/Trigonometry (full year, 1 credit)
Prerequisite: None
Course Description: The topics we cover in this class include: Functions, Equations and Systems, Matrix Methods, Coordinate Methods, Nonlinear Functions and Equations, Trigonometric Methods. If time permits we will also include Regression and Correlation, Network Optimization, and/or Probability Distributions.
Integrated* Algebra II (full year, 1 credit)
Prerequisite: None
Course Description: The topics we cover in this class include: Functions, Equations and Systems, Matrix Methods, Coordinate Methods, Nonlinear Functions and Equations. If time permits we will also include Probability Distributions, Regression and Correlation.*Integrated mathematics includes student-centered investigations of important mathematics, in the context of realistic problems and applications, leading to a robust understanding of mathematical concepts, principles, and techniques and productive habits of mind.
Integrated Algebra I (Full year, 1 credit)
Prerequisites: none
Course Description: The topics studied in this course include variables and functions, algebraic expressions and recurrence relations, coordinate graphs, data tables and spreadsheets, equations and inequalities, distributions of data and their shapes, measures of center including mean and median, and their properties; measures of variability, linear functions, slope of a line, rate of change, modeling linear data patterns, solving linear equations and inequalities, equivalent linear expressions, exponential growth and decay functions, data modeling, growth and decay rates, half-life and doubling time, compound interest, and properties of exponents.
Integrated Algebra-Geometry (Full year, 1 credit)
Prerequisites: successful completion of Integrated Algebra I or equivalent course
Course Description: The topics studied in this course include the Triangle Inequality, congruence conditions for triangles, special quadrilaterals and their properties, Pythagorean Theorem, properties of polygons, tilings of the plane, properties of polyhedra, and the Platonic solids, quadratic functions and their graphs, applications to projectile motion and economic problems, expanding and factoring quadratic expressions, solving quadratic equations by the quadratic formula as well as calculator approximation, sample spaces, equally-likely outcomes, probability distributions, mutually exclusive (disjoint) events, Addition Rule, simulation, random digits, discrete and continuous random variables, Law of Large Numbers, and geometric probability.
Integrated Advanced Algebra/Trigonometry (Full year, 1 credit)
Prerequisites: successful completion of Integrated Algebra-Geometry or equivalent course
Course Description: The topics studied in this course include direct, inverse, as well as joint variation, power functions, linear equations in standard form, systems of two linear equations, constructing and interpreting matrices, operations with matrices, inverse matrices, properties of matrices, using matrices to solve systems of linear equations, representing two-dimensional figures and modeling situations with coordinates, including computer-generated graphics, coordinate geometry, matrix models of rigid transformations, size transformations, similarity transformations, formalization of function concept, factoring and expanding quadratic expressions, solving quadratic equations by factoring and the quadratic formula, common logarithms, solving exponential equations using base 10 logarithms, trigonometric functions of measures of angles in standard position in a coordinate plane and in a right triangle, Law of Sines and Law of Cosines.
Integrated Advanced Geometry (Full year, 1 credit)
Prerequisites: successful completion of Integrated Advanced Algebra/Trigonometry or equivalent course
Course Description: The topics studied in this course include inductive and deductive reasoning strategies, principles of logical reasoning, relation among angles formed by two intersecting lines or by two parallel lines and a transversal, rules for transforming algebraic expressions and equations, design of experiments, inequalities in one and two variables, number line graphs, interval notation, systems of linear inequalities, linear programming, similarity and congruence of triangles, centers of triangles, applications of similarity and congruence in real-world contexts, definition and properties of polynomials, operations on polynomials, completing the square, solving quadratic equations (including complex number solutions), vertex form of quadratic functions, definition and properties of rational functions, operations on rational expressions, properties of chords, tangent lines, and central and inscribed angles of circles, linear and angular velocity, radian measure of angles, circular functions as models of periodic change, inverses of functions, logarithmic functions and their relation to exponential functions, properties of logarithms, equation solving with logarithms, inverse trigonometric functions and their applications to solving trigonometric equations.
MATH2510. Calculus I (Full year, 2 credits)
Northwest Nazarene University Concurrent Credit Program (4 university credits available)
Prerequisites: CCP students must have passed the NNU math placement exam, passed MATH1400 Trigonometry, with a “C” or better, or teacher’s permission.
Course Description: This course is intended to develop in students conceptual development of calculus concepts. Concepts are developed graphically, numerically, algebraically, and verbally. Emphasis is placed on the inter relatedness among the four models. Technology, specifically a graphing calculator, is a necessary tool to enhance understanding. Concepts are developed by building on previous knowledge, utilizing paper and pencil methods, and expanding/applying ideas through technology and real life applications. This approach provides a solid foundation of understanding to prepare students for future study in mathematics. Topics include the study limits, derivatives, integration and applications of integrals, integration techniques, logarithmic, exponential, trigonometric and inverse trigonometric functions.