Collier County Public Schools Calculus Correlations with FDOE
Course Descriptions and Standards
2007-2008 School Year
Calculus/AP Calculus AB Pairing
Text: Houghton Mifflin Calculus of a Single Variable
FDOE Topic or Standard / Location in CCPS Curriculum Guide1202300 Calculus
MA.D.1.4.1 relationships, patterns, functions / Weeks 1 and 2; Chapters 2 and 4
MA.D.1.4.2 changing parameters / Weeks 5, 7, 13
MA.D.2.4.1 real world problems using finite graphs / Weeks 9 and 5; Chapters 3 and 2
MA.A.2.4.1 limits and infinity / Weeks 3, 4, 5, 10; Chapters 1 and 3
MA.B.2.4.1 direct and indirect measurement / Weeks 10 and 11; Chapter 3
MA.B.2.4.2 real-world problems with rated measures / Week 8; Chapter 2
MA.B.4.4.1 accuracy, precision, relative errors of tolerance in real-world measurement / Week 12; Chapter 3
MA.C.2.4.1 geometric concepts / Week 5; Chapter 2
Find the general antiderivative of a function / Week 13, Chapter 4
MA.B.1.4.1 derive formulas for perimeter, area and volume of two and three dimensional shapes / Week 17, Chapter 6
MA.B.4.4.1 absolute and relative errors of tolerance / Not appropriately taught with definite integrals
MA.C.2.4.2 planar cross-sections / Week 16; Chapter 6
Advanced Placement Calculus AB – Term 2
1. Identify and apply properties of algebraic, trigonometric, exponential and logarithmic functions / Weeks 19-21, 24, 25
and throughout the course;
Chapter 5
2. Apply the concept of limits to functions / Week 29; Unit 8
3. Determine derivatives of algebraic, trigonometric, exponential and logarithmic functions / Weeks 19, 21, 24;
Chapter 5
4. Determine derivatives of the inverse of a function / Weeks 20, 25; Chapter 5
5. Determine the relation between differentiability and continuity / Week 29; Unit 8
6. Demonstrate an understanding of the application of the derivative to problem situations / Week 30; Unit 8
7. Identify increasing and decreasing functions, relative and absolute maximum and minimum points, concavity, and points of inflection. / Week 30; Unit 8
8. Determine antiderivatives of algebraic, trigonometric, exponential, and logarithmic functions / Weeks 21, 22, 23; Chapter 5; Unit 8
9. Apply antiderivatives to solve problems / Week 31; Unit 8
10. Use the techniques of integration / Weeks 19, 20, 21, 24, 25;
Chapter 5
11. Determine approximations of definite integrals using rectangles or trapezoids / Week 31; Unit 8
12. Apply knowledge of Integral Calculus to find the area between curves and the volume of a solid of revolution / Weeks 24, 25, 28;
Chapter 6
AP Testing / Weeks 32 or 33