Chapter 6: The Definite Integral
Packet
Chapter 6 Packet Numbered.pdf 6.1 Estimating with Finite Sums
Mastery Objectives
Students will be able to approximate the area under the graph of a nonnegative continuous function by using rectangle approximation methods
Students will be able to interpret the area under a graph as a net accumulation of a rate of change
Notes
6.1 Notes.pdfBook Problems
#s 3,4,11,16,20,23,24,28,30,39
6.2 Definite Integrals
Mastery Objectives
Students will be able to express the area under a curve as a definite integral and as a limit of Riemann sums
Students will be able to compute the area under a curve using a numerical integration procedure
Notes
6.2 Notes.pdfBook Problems
#s1,4,7,10,12,13,16,18,20,32,34,36,37,38,4046,47,50
6.3 Definite Integrals and Antiderivatives
Mastery Objectives
Students will be able to apply rules for definite integrals and find the average value of a function over a closed interval
Notes
6.3 Notes.pdfBook Problems
#s 7,8,9,14,15,20,21,25,27,29,31,37,41
6.4 Fundamental Theorem of Calculus
Mastery Objectives
Students will be able to apply the Fundamental Theorem of Calculus
Students will understand the relationship between the derivative and definite integral as expressed in both parts of the Fundamental Theorem of Calculus
Notes
6.4 Notes.pdfBook Problems
#s 1,2,9,13,22,28,31,34,37,40,46,47,55,57, 60, 61,75
6.5 Trapezoidal Rule
Mastery Objectives
Students will be able to approximate the definite integral by using the Trapezoidal Rule
Notes
6.5 Notes.pdfBook Problems
3,6,8,10,12,15,18,19ab,30,32,QQAP #2,4
Videos
Review
Review Practice
Chapter 6 Test Review.pdfAnswer Keys
Chapter 6 Review Answers.pdf Chapter Summary
Chapter 6 Summary.pdf