Mathematics Curriculum  
Calculus  
The purpose of this course (Calculus AB/BC) is to
prepare students to take the Advanced Placement examination given each
spring, for which placement and/or credit may be awarded at the college
level if a qualifying score is obtained. Content of this collegelevel
course is defined by the Advanced Placement Course Description for
Calculus AB/BC as stated by the College Board. Teachers should update
course content as changes occur in future College Board publications.
Content includes concepts and applications of differential and integral
calculus. This course carries a weighted grade. As mandated by the College Board, graphing calculators will be required for this course. Computers should also be used where feasible by the student and by the teacher. Any technology that will enhance student learning should be used if available. Instructional activities that engage students in solving application problems of varying complexities are encouraged. Note: Extended refers to topics for Calculus BC 
Last Updated: 08/24/12 11:03 AM  
 
MTH.CALC  
Standard 1  
DEFINE AND APPLY THE PROPERTIES OF LIMITS  
 
 
 
MTH.CALC  
Standard 2  
USE LIMITS TO DEFINE AND DETERMINE CONTINUITY  
 
 
 
MTH.CALC  
Standard 3  
INVESTIGATE ASYMPTOTIC AND UNBOUNDED BEHAVIOR  
 
 
 
MTH.CALC  
Standard 4  
INVESTIGATE DERIVATIVES GRAPHICALLY, NUMERICALLY, AND ANALYTICALLY  
 
 
 
MTH.CALC  
Standard 5  
INVESTIGATE THE DERIVATIVE AT A POINT  
 
 
 
MTH.CALC  
Standard 6  
ANALYZE THE DERIVATIVE OF A FUNCTION AS ITS OWN FUNCTION  
 
 
 
MTH.CALC  
Standard 7  
APPLY THE DERIVATIVE TO SOLVE PROBLEMS AND TO JUSTIFY SOLUTIONS  
 
 
 
MTH.CALC  
Standard 8  
APPLY RULES TO FIND DERIVATIVES ALGEBRAICALLY  
 
 
 
MTH.CALC  
Standard 9  
ESTIMATE DEFINITE INTEGRALS USING RIEMANN SUMS AND TRAPEZOIDAL RULE  
 
 
 
MTH.CALC  
Standard 10  
FIND ANTIDERIVATIVES OF BASIC FUNCTIONS  
 
 
 
 
 
MTH.CALC  
Standard 11  
EXPLORE DEFINITE INTEGRAL AS AREA USING FUNDAMENTAL THEOREM OF CALC  
 
 
 
MTH.CALC  
Standard 12  
SOLVE SEPARABLE DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS  
 
 
 
MTH.CALC  
Standard 13  
USE INTEGRATION TECHNIQUES TO SOLVE REALWORLD PROBLEMS  
 
 
 
MTH.CALC  
Standard 14  
DEFINE A SEQUENCE AND A SERIES AND TEST FOR CONVERGENCE  
 
 
 
MTH.CALC  
Standard 15  
DEFINE, RESTATE, AND APPLY TAYLOR SERIES  
 

Essential  Standard, benchmark, or indicator from the
VDOE Standards of Learning document. In the absence of VDOE standards for a
given course, content subject to testing such as AP and IB can be labeled
Essential.
Expected  Standard, benchmark, or indicator added by the
FCPS Program of Studies to provide a context, a bridge, or an enhancement to the
Essential SBIs.
Extended  Standard, benchmark, or indicator added by
the FCPS Program of Studies generally used to differentiate instruction for
advanced learners (Honors/GT)