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Calculus
Index
Quarter 1
Quarter 2
Quarter 3
Quarter 4
Quarter 1
Assignments:
Sign a popsicle stick with your name.
Purchase or acquire a TI-84 Plus graphing calculator
Precalculus review chart (
.docx
)
Assignment:
Average Rate of Change
Assignment:
Instantaneous Rate of Change
§2.2 p.70 #1-49 eoo
Assemble a limit puzzle.
Learning Objectives:
Identify the derivative of a function as the limit of a difference quotient.
Assignments:
Join the
AP Classroom
online
§2.3 p.80 #15-30 pick any 6, #33 (Note: the delta-epsilon definition of a limit is a part of the AP exams)
Limit BINGO (
.docx
)
Assignment:
Limits
§2.4 p.87 #1-41 eoo
§2.5 p.98 #13-30 pick any 10, #39-48 pick any 5
Learning Objectives:
Express limits symbolically using correct notation and interpret limits expressed symbolically.
Estimate limits of functions.
Determine limits of functions.
Deduce and interpret behavior of functions using limits.
Assignments:
§2.6 p.111 #1-53 eoo
Limit Vocabulary Quiz (
.docx
)
Limits & Continuity Review (
.docx
)
Limits & Continuity Quiz
Learning Objectives:
Analyze functions for intervals of continuity or points of discontinuity.
Determine the applicability of important calculus theorems using continuity.
Assignments:
§3.1 p.122 #5-29 eoo
§3.2 p.129 #7-21 odd, 43-47 odd
§3.3 p.139 pick any 10 (include at least 2 word problems)
Derivatives as a rate of change quiz (
.doc
)
Learning Objectives:
Identify the derivative of a function as the limit of a difference quotient.
Estimate derivatives.
Calculate derivatives.
Assignments:
Assignment:
First Derivatives
Assignment:
Second Derivatives
Derivatives rules quiz (
.doc
)
Quiz:
Rates of Change
Read §4.2
Function Analysis Chart #1
§4.2 Exercises p.215 #1-8 all
Derivative Applications Vocabulary
Assignment:
Newton's Method
Write a TI-BASIC program for Newton's method.
Learning Objectives:
LO 2.1D: Determine higher order derivatives.
LO 2.2A: Use derivatives to analyze properties of a function.
LO 2.2B: Recognize the connection between differentiability and continuity.
LO 2.3D: Solve problems involving rates of change in applied contexts.
LO 2.2A: Use derivatives to analyze properties of a function.
LO 2.2B: Recognize the connection between differentiability and continuity.
LO 2.3A: Interpret the meaning of a derivative within a problem.
LO 2.4A: Apply the Mean Value Theorem to describe the behavior of a function over an interval.
LO 2.3B: Solve problems involving the slope of a tangent line.
LO 2.3C: Solve problems involving related rates, optimization, rectilinear motion (BC), and planar motion.
LO 2.3D: Solve problems involving rates of change in applied contexts.
Assignments:
Read §5.1-5.3
§5.1 Exercises p.266 #1-9 odd
§5.2 Exercises p.279 #1-13 odd
§5.3 Exercises p.289 #1-29 eoo, #65, #67
Write a TI-BASIC program for LRAM, RRAM, and MRAM.
Derivative Vocabulary BINGO
Learning Objectives:
LO 4.A: Interpret the meaning of areas associated with the graph of a rate of change in context.
LO 5.A(a): Approximate a definite integral using geometric and numerical methods.
LO 5.A(b): Represent accumulation functions using definite integrals.
LO 5.B: Interpret the limiting case of the Riemann sum as a definite integral.
LO 5.C: Represent the limiting case of the Riemann sum as a definite integral.
LO 6.A(a): Calculate a definite integral using areas and properties of definite integrals.
Assignments:
Read §5.4-5.5 p.281
§5.4 Exercises p.298 #5-17 odd
§5.5 Exercises p.306 #7-55 pick any 10
Write a TI-BASIC program for average value.
AP® Calculus BC Free-Response 2021 #1
Learning Objectives:
LO 6.B: Evaluate definite integrals analytically using the Fundamental Theorem of Calculus.
LO 6.C: Determine antiderivatives of functions and indefinite integrals, using knowledge of derivatves.
LO 6.D: Use substitution to determine indefinite integrals and evaluate definite integrals.
LO 4.B: Determine the average value of a function using definite integrals.
LO 4.C: Determine values for positions and rates of change using definite integrals in problems involving motion.
LO 4.D: Interpret the meaning of a definite integral in accumulation problems.
LO 4.E: Determine net change using definite integrals in applied contexts.
Assignments:
Read §6.1-6.2 p.311
Quarter 1 Exam Review
Learning Objectives:
LO 6.E: Use integration by parts to determine indefinite integrals and evaluate definite integrals.
Assignments:
Quarter 1 Exam
Assignments:
Read §6.3, 6.5 p.327
§6.3 Exercises p.334 #7-33 odd
§6.5 Exercises p.350 #7-15 odd (trapezoidal and midpoint rule only)
Write a TI-BASIC program for the trapezoidal sum.
Learning Objectives:
LO 6.F: Use partial fractions to determine indefinite integrals and evaluate definite integrals.