Integrated Math ll

Prerequisites: C or better in Integrated Math l.

Integrated Math ll is the 2nd year of a 3 year integrated mathematics series. These courses are a strategic interweaving of mathematics with authentic connections among theory and application, algorithm, and mathematical practices, designed to naturally scaffold the learning of a constantly deepening material. As a consequence, students increasing understanding and recognizing that all math is interrelated, purposeful and applicable. Functions, a concept in each of the three courses, expands in this course to include quadratics and some polynomial functions, with an emphasis on quadratics. The features of quadratic functions are compared to and contrasted with linear and exponential functions. Geometry measurement, area, and quadratics are connected. The number system is extended to include real and complex numbers, 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. Geometry takes on more formal arguments about geometric relationships, particularly in regard to similarity and congruence. Students build on their foundation of transformations to do so. The work on similarity leads to an understanding of right triangle trigonometry and connects to quadratics through Pythagorean relationships. Circles round out the course, with their quadratic representation. The Mathematical Practice Standards apply throughout the course. Technology is supported throughout, with an expectation that students use graphing calculators and or software to explore equations, create equations that fit data, explore geometric relationships, constructions or simulations. Students are given opportunities to learn to use and apply technology, when appropriate. Ample opportunities are given to students to problem solve, reason abstractly, create models for situations, attend to precision, and look for patterns as in finding patterns that are linear or exponential in nature.

The Mathematical Practice Standards apply throughout the course and together with the content standards provide students with a math experience that is coherent, useful, and logical. This integrated math course prepares students to enroll in the next course in the sequence, Integrated Math lll.