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Christi James
CMIC 3 Course Description
Course Description: Contemporary Mathematics in Context Course 3 is the third year of a four-year integrated Mathematics program. The curriculum builds upon the theme of mathematics as sense-making. Through in-class investigations of real-life contexts, students develop an understanding of important mathematics that makes sense to them and, in turn, enables them to make sense out of new situations and problems. Each course features "strands" of the following mathematical topics: Algebra/Functions, Statistics/Probability, Geometry/Trigonometry, and Discrete Mathematics. Each of these strands is developed within focused units of the course. Units Covered in CMIC 3A: Unit 1 - Multiple-Variable Models (Develops student ability to construct and reason with linked quantitative variables including the Law of Sines and Law of Cosines; systems of equations with several vaiables by a single equation; and linear programming). Unit 3 - Symbol Sense and Algebraic Reasoning (Develops student ability to represent and draw inferences about algebraic relations and functions using symbolic expressions and manipulations; use of factoring, quadratic formula, and algebraic proof). Unit 4 - Shapes and Geometric Reasoning (Introduces students to formal reasoning and deduction in geometric settings; inductive reasoning; conclusions concerning supplementary angles, vertical angles, parallel lines, and transversals; and similarity of triangles, quadrilaterals, and other shapes). Units covered in CMIC 3B: Unit 5 - Patterns in Variation (Extends student ability to use the normal distribution as a model of variation and introduces students to probability and statistical inference used in control charts and process control). Unit 6 - Families of Functions (Reviews and extends student ability to recognize different function patterns in numerical and graphical data; review linear, polynomial, expontential, rational, and trigonometric functions; and construct rules for function tables and graphs of transformations). Unit 7 - Discrete Models of Change (Extends student ability to represent, analyze, and solve problems using sequential and recursive change; arithmetic and geometric series; finite differences; and function iteration). |