MA5038 LC Math 3 P
UC/CSU Approval Pending
10 units (2 semesters)
Prerequisite: Grade of a C or higher in LC Math 2 or its equivalent
Daily Homework: 45 minutes
Building on their work with linear, quadratic, and exponential functions, students extend their understanding of functions to include logarithmic, polynomial, rational, and radical functions in LC Math 3. This course includes standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. Students work closely with the expressions that define the functions, competently manipulate algebraic expressions, and continue to expand and hone their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms.
Some of the overarching ideas in the LCM3 course include: (1) relate arithmetic of rational expressions to arithmetic of rational numbers; (2) expand understandings of functions and graphing to include trigonometric functions; (3) synthesize and generalize functions and extend understanding of exponential functions to logarithmic functions; and (4) relate data display and summary statistics to probability and explore a variety of data collection methods. In addition to these central math concepts, students in LC Math 3 will also explore and model concepts verbally, numerically, algebraically, and graphically, construct viable arguments, engage in definitional thinking, continue to engage in inductive and deductive reasoning as it relates solving problems, making patterns, and applying math learning to real world problems, and the usefulness of Algebra for analyzing the world around us. The Standards for Mathematical Practice will play a prominent role in the course, with students continually developing their ability to reason and argue. Students will solve complex problems, and use tools such as graphing calculators and appropriate technology.