Precalculus AB 
Course Scope:  

This rigorous one-year course is designed for the motivated student with a strong background in advanced algebra and will prepare the student for AP Calculus AB. In addition to reviewing topics from trigonometry, this course includes problem-solving techniques using analytic geometry, vectors, matrices, relations and functions and their graphs, probability and statistics, and the introductory concepts of calculus. Instructional practices incorporate integration of diversity awareness including appreciation of all cultures and their important contributions to our society. The use of technology, including calculators and computer software, is an integral part of this course. This course fulfills one of the mathematics credits required for high school graduation.  

Course Goals:  

1. To develop the Standards for Mathematical Practice. 

2. To develop a variety of problem-solving strategies necessary for advanced mathematical or scientific studies. 

3. To investigate and apply properties of matrices to solve systems of equations. 

4. To derive, graph, and apply the four conic relations.

5. To construct and analyze the graphs of polynomial, rational, exponential and logarithmic functions.

6. To use trigonometric functions and their applications in problem solving, including triangle trigonometry and
circular functions.

7. To solve problems and study real-world applications of vectors, complex numbers, and parametric equations. 

8. To graph equations using both the Cartesian and polar coordinate system.

9. To use probability for decision making, calculate expected values and use them to solve problems, and to use
probability to evaluate outcomes of decisions.

10. To develop an intuitive understanding of the basic concepts of calculus including limits, areas under curves, and
​ slopes of curves. 

​11. To communicate effectively using the language of mathematics in both oral and written forms. 


Precalculus BC

Course Scope:


This rigorous one-year course is designed for the motivated student with a strong background in advanced algebra and will prepare the student for AP Calculus BC. In addition to reviewing topics from trigonometry, this course includes problem-solving techniques using analytic geometry, vectors, matrices, relations and functions and their graphs, probability and statistics, and the use of limits, derivatives and integrals. Instructional practices incorporate integration of diversity awareness including appreciation of all cultures and their important contributions to our society. The use of technology, including graphing calculators and computer software, is an integral part of this course. This course fulfills one of the mathematics credits required for high school graduation.  


Course Goals:  


1. To develop the Standards for Mathematical Practice. 


2. To develop a variety of problem-solving strategies necessary for advanced mathematical or  scientific studies. 


3. To investigate and apply properties of matrices to solve systems of equations. 


4. To derive, graph, and apply the four conic relations.


5. To solve and analyze the graphs of rational, exponential, and logarithmic functions.


6. To understand the relationships of triangular and circular trigonometry and to apply these ideas to real world

problems.


7. To relate the trigonometric identities to the verification and solving of equations. 


8. To solve problems and study real-world applications of vectors, complex numbers, and parametric equations. 


9. To graph equations using both the Cartesian and polar coordinate system.


10. To use probability for decision making, calculate expected values and use them to solve problems, and to use

probability to evaluate outcomes of decisions.


11. To investigate the concept of a limit by examining infinite sequences, areas under curves, and slopes of curves. 


12. To develop an understanding of the basic concepts of calculus including limits, derivatives, and integrals. 


13. To communicate effectively using the language of mathematics in both oral and written forms. 

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