AP Calculus assignments for 2009-2010: The specific dates will be entered as
we progress throughout the course.
Lesson #1
Read pg 42-44 for introduction. We will handout syllabi, course objectives
grading policy etc. one day 1.The unit circle, tangent line problem and the
trig. hexagon will be discussed today.
Lesson #2
Concept of a limit fig. 1-5 pg.48 and fig. 1.8 pg.50. Assign 1.1: 1-8,1.2:
1,4,10-16
Lesson #3
Unit circle re-visited.Section 1.3, Properties of limits and stategies for
finding limits.Note Example 6 and theorem 1.9. Assign 1.3: 3,4,15-25,
37,38,41,42,44
Lesson #4
Unit circle quiz. Section 1.4, continuity at a point.Removeable and non-
removeable discontinuity.Intermediate value theorem.
Assign: 9-19,31,35,41,47,49,57,58,59,61
Lesson #5
Section 1.5, Infinite limits and asymptotes. Assign 1.5: 14,15,18-
23,25,27,39,40,41
Lesson#6
Limit quiz & review of Chapter 1 Begin chapter 2 with introduction to 2.1
Lesson #7
Chapter 1 exam.
Lesson #8
Tangent line re-visited and the definition of the derivative,
differentiability and continuity.Assign 2.1:
5,6,9,13,15,22,24,25,29,31,32,33,34,35,37,47
Lesson #9
Section 2.2: Basic Differental Rules and average velocity/instantaneous
velocity. Assign3-24, Use GDC with 33,34,36,37,38. Without GDC: 45-
52,54,55,57,60,61,64-66,92,93,94.
Lesson #10
Section 2.3 Product and Quotient Rule. Assign 2.3: 1-
12,14,15,18,26,27,30,34,35,39,41,43,52,76,79.
Lesson #11
Quiz over Lesson #9 assignment. Intro. to 2.4 The Chain Rule.
Assign 2.4: 9,10,12,13,21,25,27,31,51,53,57,61,65,71,74,92.
Lesson #12
Section 2.5 Implicit Differentiation Assign: 1-15 odds,19,22,23,25,27,37-40,
47,55,56.
Lesson #13
Section 2.6 Related Rates: Assign 3,4,6,7,14-17,20,22-24,27.
Chapter 2 Review for exam ( suggested problems FYI)
19,25,26,32,37,41,43,44,48,54,56,58,71,78
Lesson #14
Section 3.1 Extrema on an open interval. Concepts of maxima and minima.
Assign: 3-5,8,13-16,21,25,26,29-31,33,38,40,42,61-64
Lesson #15
Section 3.2 Rolle's Theorem and Mean Value Theorem. Use of MVT to find
instantaneous rate of change. Assign: (3-23) odds, 32,35-38,41-43
Lesson #16
Section 3.3 Increasing and decreasing functions and 1st derivative
test.Monotonic functions.Assign:3,4,5,9,15,19,25,26,27,30,31,35,41,42,43-46
Lesson #17
Section 3.4 Concavity and 2nd derivative/ points of inflection with 2nd
derivative test. Assign: 1,4,5,7-10,15-24,31-36,39,53,56,69
Lesson # 18
Section 3,5 Limits at infinity. Review of asymptotes. Note examples a,b,and
c.pg. 195 Assign: 1-6,13-18 25-28
Lesson #19
Section 3.6 Curve Sketching,Section 3.6Discuss example #2 pg.204, Work
problem #4 from 2004 AP exam Assign: 11-15
Lesson #20
Section 3.7 Optimization. Application of maxima and minima problems
Assign: 4,5,17-19,24,25,27,28.Be able to understand and work through all
examples.
Lesson #21
Tangent Line approximation. Assignments fr this concept will be from Previous
AP exam problems.
Integral Calculus begins with Chapter 4
Lesson #22
Section 4.1 Antiderivatives and the indefinite integral. Suggest that student
paper clip pg. 244. Assign: 10-12 19-42,45-47,53,56-62,67,69,70,71-73. This
assignment will cover 2 class periods.
Lesson #23
Section 4.2 In lieu of the text material for this concept handouts will be
provided. The use of rectangles and Reimann Sums to approximate the area
under curves. Left and Right sums will be demonstated as well as the midpoint
method.This is a precurser to the Trapezoid method which occurs on every AP
Exam in some form or another. The assigned problems will be included with the
handout.
Lesson #24
Section 4.3, Reimann Sums. Include a review of section 4.2 Emphasis is on
examples 3,4,5,6 in section 4.3 Assign (23-31) odds 37-40 42,43,45.
Lesson #25
Section 4.4, The First and Second Fundamental Theorems of Calculus.Assign: 9-
22,27,28,49-52,77-82,89-92.
Lesson #26
Section 4.5, Integration by substitution. u/du substitution and recognizing
the f(g(x))g'(x)) pattern. Assign: (7-37) odds (45-53) odds, 72,74,75.
Lesson #27
Section 4.6, Numerical Integration and the use of the Trapezoidal Rule.
Theorem 4.16 Note Example #1. Assign 7-15,21.
Lesson #27
Chapter 5.Section 5.1, Natural Logarithmic Function and Differentiation. Also
included is a review of the logarithm properties. An understanding of Theorem
5.1 is important. A discussion of the number e and it's definition and use.
The derivative of the Natural Log function and logaritmic differentiation.
Assign: 7-10,21-25,30-33,45,48,54,57,60,63,67.
Lesson #28
Section 5.2 Log rule for integration. Note well examples 5,6,&7. Assign:9-
20,29-35,41,47-49
Lesson #29
Section 5.3. Inverse functions (review from pre-calc).Theorem 5.9
(derivatives of inverse functions).
Know...g'(x)=1/(f'(g(x)),To include: Horizontal line test for one to one
relationships and that inverse functions have slopes that are reciprocals.
Assign: 5-12
Lesson #30
Section 5.4 Exponential Functions, Natural exponential functions,
y=e^x.Derivatives and Integrals of exponential functions.Assign: 9-18,45-
54,59-62,65,66,70
Lesson #31
Section 5.5 Bases other than e. Radioactive half life model. Derivatives and
antiderivatives of a^x. Emphasize examples 2-7. Assign: 5-11,15,17,22-24,(25-
33)odds, (45-53) odds,59,60,63-68,72, know the base change using the GDC.
Lesson #32
Section 5.6 Differential Equations. Newton's Law of Cooling.Take home problem
on Newton's Law of Coling. Assign:3-10,13,14,22,23. Introduction to slope
fields?
Section 5.7 will be omitted.
Lesson#33
Section 5.8 Inverse Trig functions. Review of pre-calc. Know domain and range
of arcsin, arctan, and arccos only.Will learn derivatives of these inverse
trig functions. Paper clip pg. 385. Assign: 5-12,13,15,17,20-25.
Lesson #34
Section 5.9 Know theorem 5.19 and its' applications. Paper Clip pg.391
Assignment TBA.
Lesson #35
Section 6.1 Areas of Regions between two curves.Examples 1-4, Assign: 8-
121,18-25,33-38,40
Lesson #36
Section 6.2 Finding Volumes by the disk method, washer method and cross
sections perpendicular to x or y axis. In class, examples 1-7 will be
discussed. Assign: 11-14,17,21,22,27,30,35,37,47.
Lesson #37
Section 6.3 (Optional) This section shows methods of finding volumes by
sshells or cylinders. An advantage over switching x and y variables necessary
in section 6.2 Assign: 17-19,21,22
At the conclusion of Lesson 37 we will begin reviewing for the AP exam
AP STATISTICS ASSIGNMENTS FOR 2008-2009
LESSON #1
Hand out syllabus and parent letter to be signed. Introdction of the use of
the GDC. Read Chapter 1
Lesson #2
Chapter 2 What is data and the terms relating to data. Students will learnhow
to enter data into their GDC and interpret the output from the home screen.
Know the terms and concepts listed on pgs. 11 and12. Differentiate between
categorical and quantitative data.
Lesson #3
Chapter 3 What are frequency tables? Marginal and conditional distributions
on pg.21. Student will learn to differentiate between dependant and
independaent variables. Simpson's Paradox is discussed. Announce quiz over
chapters 2 and 3 at the end of the next class. The 5 W's, ASSIGN: #8 and #16
from pg. 29-31.
Lesson #4
Quiz over terms and concepts in chapter 2 and 3.Begin Chapter 4 on data
distribution and the use of the GDC to determine shape center and spread.
Instructions on how to do a histogram by hand and with the GDC. How to read a
relative frequency chart.Read the STEP BY STEP explanation of the stem and
leaf graph dot plot etc. Determination of outliers. ASSIGN:know terms on pg.
49. work # 12 pg.51
Lesson #5
Chapter 5. Introduction to box plots and the use of the GDC to construct a
boxplot.Read mean, median and spread.ASSIGN: pg. 73 #4
Lesson #6
Chapter 5 IQR and the 5 number summary.Student will learn the concept of the
standard deviation and how to calculate it by hand.Learn the term in this
section summarized on pg.71.Work through STEP BY STEP before working pg.73-74
#'s 10,14. Announce quiz over Ch.4&5 at beginning of next class.
Lesson #7
Quiz over chapters 4&5. Begin chapter 6.Introduction of Z scores and their
interpretation of standardized values. Introduce the 68-95-99.7 Rule
Lesson #8
Chapter 6. STEP BY STEP in class using the boxplot to facilitate the
interpretation and meaning of a data set. ASSIGN: pg. 101 #'s 11,12,26.
Lesson #9
Exam over Unit 1 (chapter 2-6)
Lesson #10
Chapter 7. Scatterplots,association,& Correlation. The use of the GDC to plot
data as a scatterplot. Obtain r values from the data set as a correlation of
the 2 variables and obtain the linear regression equation from the GDC.
Student shall describe the scatterplot of the data in terms of strength,
linearity, direction and its association in context of the r value. ASSIGN:
pg. 134, #14.
Lesson #11
Chapter 8 Linear Regression. Will discuss the scatter plot and how it is used
to obtain a linear model and predicted values. Learn residuals,and the slope
of the regression line. b=rS(y)/S(x). No homework
Lesson #12
Chapter 8. Residuals and R^2, variation in residuals. In context, the meaning
r^2 as the fraction of data variance accounted for bt the linear model. Pg.
147. Step by Step pg. 148-149. Work #7 in class and ASSIGN: #8& 21
