La Cañada Unified School District

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LCUSD Mathematics » LC Math 1 Advanced P - MA5032

LC Math 1 Advanced P - MA5032

MA5032 LC Math 1 Advanced P
UC/CSU Approved
LCHS Honors Credit
10 units (2 semesters)

Prerequisite: Recommended Grade of an A in CC Algebra 8 or a grade of B or higher in CC Algebra 8 Advanced.
Daily Homework: 30-45 minutes

This is the first course in an accelerated common core based college preparatory math sequence. This course builds on, and deepens, the conceptual understanding of linear function from CC Math 8. As the first course in an accelerated three-year progression, it will include standards traditionally taught in Algebra 1, Algebra II, and Pre-Calculus. Successful completion of LC Math 1 (LCM 1) Advanced positions students to reach advanced math classes, including Calculus, by the senior year. The main purpose of LC Math 1 Advanced is to develop students’ fluency with linear (including piecewise), quadratic, exponential and polynomial functions. The critical areas of instruction involve deepening and extending students’ understanding of linear and exponential relationships by contrasting them with each other. Data and trend lines/curves will be used to introduce students to various classes of functions, and the strength and suitability of fit will be examined through the analysis of residuals. Matrices will be used to extend and apply linear relationships. Quadratic functions, including roots, local extrema, and end behavior, will be fully analyzed and extended to polynomial functions.
In addition, students will engage in methods for analyzing, solving, and using exponential and quadratic functions, with real and non-real solutions. Some of the overarching ideas in the LCM1 Advanced course include: the notion of function, solving equations and inequalities, rates of change and growth patterns, working with sequences, matrices, understanding absolute value relationships, graphs as representations of functions, and modeling. Since the Standards for Mathematical Practice will be woven throughout each unit of the course, students will analyze each other’s work, make and prove conjectures, use tools to experiment and validate conclusions, and problem solve.