Mathematics is the search for abstract patterns and the expression of those patterns in the language of numbers, variables, and identities. Thus it is an expression of the underlying order we perceive in the universe.
Calculus is a fourth mathematics course option for students who have completed Pre-Calculus or Accelerated Pre-Calculus. This course will take a functional approach to algebra that incorporates the use of appropriate technology. Emphasis will be placed on the study of functions, and their graphs, inequalities, and linear, quadratic, piece-wise defined, rational, polynomial, exponential, and logarithmic functions. It includes problem solving, reasoning and estimation, functions, derivatives, application of the derivative, integrals, and application of the integral. Instruction and assessment should include the appropriate use of technology. Topics should be presented in multiple ways, such as verbal/written, numeric/data-based, algebraic, and graphical. Concepts should be introduced and used, where appropriate, in the context of realistic phenomena.
The following academic concepts will be covered.
THIS IS ONLY A GUIDE AND IS SUBJECT TO CHANGE
Instructional Objectives for this year include, but are not limited to, the following:
Topics of study include:
Ø Linear Functions Revisited
Ø Polynomial Equations Revisited
Ø Rational and Radical Functions and Equations Revisited
Ø Exponential and Logarithms Functions and Equations Revisited
Ø Parametric Functions (Conics) Revisited
Ø Trigonometric Functions Revisited
Ø Matrices Revisited
Ø Limits and Continuity
Students will be able to:
- Make sense of problems and persevere in solving them.
- Reason abstractly and quantitatively.
- Construct viable arguments and critique the reasoning of others.
- Model with Mathematics
- Use appropriate tools strategically.
- Attend to precision.
- Look for and make use of structure.
- Look for and express regularity in repeated reasoning.
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