They must also solve polynomial, exponential and logarithmic equations both analytically and graphically.
Standard 4: Students must be able to understand and use matrices to perform basic operations. This includes addition, subtraction, multiplication and inversion of matrices. They must also be able to identify the appropriate methods and technology to accomplish this. In addition, students must demonstrate the ability to find the inverses of two-by-two matrices without only with the use of pencil and paper, without additional technology.
Standards for Grade Level 11
Standard 1: At the end of this grade level, students must be able to explore rational functions in terms of investigating and explaining the characteristics of rational functions. Elements such as domain, range, zeros, points of discontinuation, and intervals of increase and decrease must be included in this ability. They must also find the inverses of rational functions with discussions of domain and range, symmetry, and function composition.
Standard 2: Students must demonstrate an ability to use the circle for the purpose of defining trigonometric functions. In order to do this, they must define and understand angles as measured in both degrees and radians. They must understand and apply the trigonometric functions and find their values by using points on angles in the standard position.
Standard 3: Students must be able to investigate and use graphs relating to the six trigonometric functions, as well as understanding and applying these functions as functions of real numbers. They must also demonstrate an ability to identify the characteristics of trigonometric graphs representing the six basic functions. Students...
This will include changing period, amplitude, phase shift, and vertical shift. Trigonometric graphs must be applied in realistic contexts that include periodic phenomena.
Standard 4: Students must be able to investigate functions in a variety of ways, including the comparison and contrast of their properties within the linear, quadratic, polynomial, power, rational, and exponential types. They must also be able to investigate the transformations of various functions, including those that are built through the sum, difference, product, quotient, and composition.
Sources
Cox, K. (2006). Georgia Performance Standards: Mathematics 2. Georgia Dept of Education. Retrieved from https://www.georgiastandards.org/standards/Georgia%20Performance%20Standards/Math-II-Stds-rev-0409.pdf
Cox, K. (2006). Georgia Performance Standards: Mathematics 3. Georgia Dept of Education. Retrieved from https://www.georgiastandards.org/standards/Georgia%20Performance%20Standards/Math-III-Stds-rev-0409.pdf
Cox, K. (2006). Georgia Performance Standards: Mathematics 4. Georgia Dept of Education. Retrieved from https://www.georgiastandards.org/standards/Georgia%20Performance%20Standards/Math-IV-Stds.pdf
Dillon, S. (2010, Mar 10). Panel Proposes Single Standard for All Schools. The New York Times. Retrieved from http://www.nytimes.com/2010/03/11/education/11educ.html
Reys, B.J., Dingman, S., Nevels, N. And Teuscher, D. (2007). State-Level Curriculum Standards and Graduation Requirements. Center for the Study of Mathematics Curriculum. Retrieved from http://www.mathcurriculumcenter.org/PDFS/HSreport.pdf
