Integrated Math 1

The first half concentrates on algebra and functions, with particular attention paid to graphing and solving linear, quadratic, polynomial, rational, exponential, and logarithmic functions. Applications of the material during first semester include maxima/minima problems, average rate of change, and compound interest. Second semester, the course shifts to trigonometry, with discussion of the trigonometric ratios, radian measure, the graphs of the trigonometric functions, the special angle formulas, the laws of sines and cosines, vectors, parametric equations, and the conic sections. If time permits, the course explores additional topics such as mathematical induction, the binomial theorem, and sequences and series. Throughout the course, students make use of TI-83 graphing calculators for the purpose of solving problems and regression modeling.

Integrated Math III is the third course in the Integrated Mathematics Pathway.  It is designed to round off student’s studies of Algebra, Geometry, and Statistics and to prepare them for a fourth course in higher mathematics, such as, a college prep Statistics course or Introductory Calculus.

The purpose of Integrated Math III is to round off the mathematics learned in previous integrated coursework as well as to prepare them for their next experience with higher mathematics.  Here, again, we emphasize the nature of mathematics as a continuum of ideas rather than a set of distinct subjects.  We bring to completeness the matter of how data is to be acquired and utilized. We extend the notion of functions to exponential functions and logarithms as resources for computation and modeling.  We increase our numeracy through the study of rational numbers and their abstract extension into rational expressions and equations. Integrated Math III extends our geometric powers as well, through the incorporation of the Law of Sines and Cosines, while bringing in the notion of periodic functions which serve as yet another model for students to use.

Integrated Math II is the second course in the Common Core Integrated Mathematics Pathway. Students will learn to work with parabolic function through data analysis, algebraic manipulation, and  graphing.  Students will be expected to engage in real-world exercises that will challenge them.  As with all integrated coursework writing will form a considerable portion of this class.

The purpose of Integrated Math II is to highlight the quadratic expressions and functions, as well as, cursory mathematics and extensions of second-degree polynomials.  In this course students extend the rules of exponents to include rational exponents.  This demands, in some cases, the irrationals.  In solving quadratic equations, the need arises for complex numbers to provide the solutions we require.  Integrated II also introduces right triangle trigonometry and circles, both of which deal with terms of degree two.

Integrated Math I is the first course in the Common Core’s Integrated Mathematics Pathway. It serves to extend the concepts and skills acquired in the middle grades. Students will learn to reason with equations and expressions, describe data, use simple proofs and geometric constructions, and work within the coordinate plane.