Integrated Math 2

 

The focus of Integrated Mathematics 2 is on quadratic expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships from Integrated Mathematics I as organized into 6 critical areas, or units. The need for extending the set of rational numbers arises and real and complex numbers are introduced so that all quadratic equations can be solved. The link between probability and data is explored through conditional probability and counting methods, including their use in making and evaluating decisions. The study of similarity leads to an understanding of right triangle trigonometry and connects to quadratics through Pythagorean relationships. Circles, with their quadratic algebraic representations, round out the course. The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations. The fundamental purpose of Integrated Mathematics 2 is to formalize and extend the mathematics that students learned in the middle grades and in Integrated Math 1. This course will develop algebraic and geometric concepts as students utilize a multi-representational approach to solve problems and explain solutions numerically, graphically, algebraically, and verbally. Quadratic relationships will be used to describe patterns and build functions that will be applied to real-life models. Geometric concepts of similarity will be used to prove theorems in terms of transformations. Students will define ratios, solve problems, and prove and apply trigonometric identities within right triangles. Students will understand and apply theorems of circles, find arc lengths and areas of sectors of circles, and translate between geometric descriptions and the equations of conic sections. Students will use coordinates to prove theorems algebraically. Mathematical skills and their applications as described in the Mathematical Practice Standards will be used throughout each unit.