Grade: 11, 12
Length of Course: First and Second Semester Prerequisite: Algebra I, Algebra 2, Geometry, and Math Analysis with an average of “C” or better.
CURRICULUM BENCHMARKS:
· 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 the components of mathematical modeling.
· Understands the properties of the real number system and its subsystems.
· Uses a variety of operations on expressions containing real numbers.
· Solves problems involving rate as a measure.
· Selects and uses an appropriate indirect method of measurement in a given situation.
· Solves real-world problems involving three-dimensional measures.
· Uses synthetic methods to solve problems involving symmetry and transformation of figures.
· Understands the basic concepts of right triangle trigonometry.
· Uses trigonometric identities.
· Understands appropriate terminology and notation used to define functions and the properties of functions.
· Understands properties of graphs and the relationship between a graph and its corresponding expression.
· Understands the concept of a function as the correspondences between the elements of two sets.
· Understands the general properties and characteristics of may types of functions.
· Uses a variety of methods to solve complex equations.
· Differentiates and integrates a variety of functions.
· Uses derivatives of functions to solve problems.
· Uses graphing calculators to examine and understand many types of functions.
COURSE DESCRIPTION
This class is designed to prepare the students for their first year of college calculus. Concepts in this course will also be applied to other mathematical disciplines like physics and economics.
WHAT THE STUDENTS IS EXPECTED TO DO:
1) Take notes on lectures and example problems.
2) Complete daily assignments neatly and on time.
3) Actively participate in class.
4) Maintain a successful average on tests and quizzes.
EVALUATION: The students will be evaluated on successful completion of daily assignments, quizzes and tests.