Subject: Math Analysis Concepts
Grade: 11, 12
Length of Course: First and Second Semester
Prerequisite: Algebra II and Geometry with “C” Average Strongly Urged along with Teacher Approval.
CURRICULUM BENCHMARKS:
· Uses a variety of strategies to understand new math content and to develop more efficient solution methods or problem extensions.
· Constructs algorithms for multi-step and non-routine problems.
· Constructs logical verifications or counter examples to test conjectures and to justify algorithms and solutions to problems.
· Uses formal math language and notation to represent ideas, to demonstrate relationships within and among representation systems and to formulate generalizations.
· Understands connections between equivalent representations and corresponding procedures of the same problem situations or mathematical concept.
· Understands the components of mathematical modeling.
· Understands the properties of the real number system and its subsystems.
· Uses discrete structures to represent and to solve problems.
· Uses a variety of operations on expressions containing real numbers.
· Understands basic applications of and operations on matrices.
· Uses synthetic methods to solve problems involving symmetry and transformation of figures.
· Understands the basic concepts of right triangle trigonometry.
· Uses trigonometric ration methods to solve mathematical and real world problems.
· Understands the basic properties and uses of polar coordinates.
· Understands appropriate terminology and notation used to define functions and the properties of functions.
· Uses expressions, equations, inequalities and matrices to represent situations that involve variable quantities and translates among these representations.
· Understands characteristics and uses of basic trigonometric functions.
· Understands properties of graphs and the relationship between a graph and its corresponding expression.
· Understands basic concepts of polynomial equations.
· Understands the concept of a function as the correspondences between the elements of two sets.
· Uses a variety of models to represent functions, patterns and relationships.
· Understands the general properties and characteristics of many types of functions.
· Understands the effects of parameter changes on functions and their graphs.
· Understands the basic concept of inverse function and the corresponding graph.
· Uses a variety of methods to solve systems of equations and inequalities.
· Uses a variety of methods to solve complex equations.
· Uses graphing calculators to examine and understand many types of functions.
· Uses graphing calculators to solve problems involving matrices.
COURSE DESCRIPTION:
This course deals with the geometric coordinate system, conic system,
and how they relate. Circular and triangular trigonometric functions and
their origins will be studied.
WHAT THE STUDENTS IS EXPECTED TO DO:
1) Keep a notebook of class notes and assignments.
2) Successfully complete all tests and quizzes.