AP Calculus AB
First Six Weeks Syllabus
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1.1 Explorations of local linearity and area
Review trigonometric identities and functions. Define and compute
the slopes of tangent lines versus secant lines. Compute the area
under the curve using summation of rectangles.
Review even and odd functions.
#1 Scott Pass B, E , F; 2-5
Trigonometric functions worksheet 3,7,14,15,17: Flashcards
pg 47, 8, 10, 11; pg 55 1, 7 Use your calculator and complete the
tables to the thousandths place.
Multiple Choice (no calculator): 85 pg 1-2 29,26,12,35,21
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1.2 Limits and their properties; Visual Limits
Find limits intuitively and graphically.
Graphically examine local linearity.
#2 pg 55 10,12,18,20,21,23,56; Forester pg 28 2-10even
Hall Worksheet pg 1-2 # 4-6,8,12,13
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1.3 Evaluate limits through algebraic techniques. Evaluate a limit
using properties of limits. Review factoring.
#3 Pg 67-69 12,18,24,30,34,38,42,68,52,56,60,67,70,
78,83,103,104
Hall worksheet Pg 4 3,4
Velocity problem-detailed
Quiz #1 Trigonometric Functions and identities
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1.4 Continuity and One-sided Limits
Prove the existence of continuity at a point and evaluate the limit
of a function from the right side, left side, and both.
Classwork: Three MC Problems
#4 pg 78-82 4,8,10,12,13,16,28,40,44,48
Hall pg 5 #2,3
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1.4 Continuity and One-sided Limits; Intermediate Value Theorem
Use WTCU and Forester class examples
#5 Pg 80-82 72,76,83,87; WTCU Pg 57-58;
Forester pg 56-57 6,9,10,13,16,17,19
Hall page 7 1-8;Bonus #9
Quiz #2 Limits of Functions 1.1-1.3
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1.5 Evaluate limits involving infinity.
Classwork: Three MC Problems pg 5 85 #5,41;pg 6 88 #41
#6 Pg 88 12,23,38,42,62 ; Pg 203 10,12
Review for Chapter 1 test
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2.1 Use the formal definition of a derivative to find the derivative
of selected functions. Relate the definition to the graphs of a secant
line becoming the tangent line as the limit is applied.
#7 Pg 103-106 3,4,6,14,18,23,26,35,37-40,52,59 Bonus, 71,80-86e
Best Worksheet 2.1 Pg 86-90 6,7,9,12
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TEST#1 Chapter 1: Limits and continuity
Analyze limits with both algebraic and graphical approaches.
Distinguish and apply the continuity and limit connection.
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2.2 Derive functions using the Power Rule. Derive sine, cosine.
#8 Pg 115-118 8,18,22,26,27,33,36,38,44,48,54,60,61,64,
72,90,93,98,104
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2.3 Calculate derivatives by the product rule and quotient rule.
Derive all trigonometric functions.
Classwork: Three MC Problems pg 3 88 #29;pg 5 #37;PG 6 #12
#9 Pg 126-129 4,12,26,30,34,36,44,46,50,62,64,68,74,94,
102,108,110,113
Best pg 97 #2 Squirrel
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2.4 Derive polynomials and trigonometric functions using the
chain rule.
#10 pg 137-140 8,10,18,26,31,44,52,58,62,72,90,94,97d
Best pg 106 #10
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Quiz #3 2.1-2.2 Derive a function using the formal definition
of a derivative and derive functions using the power rule.
Quiz #4 Notebook Check
#11 Review for test over 2.1-2.4: Pg 158-160 1,5,8,9,11,23,26,35,
41,43,46,51,57,64
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Test #2 Derivatives of Functions 2.1-2.3
Multiple Choice: pg 6 #15; pg 8 # 11;pg 11#3
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2.5 Use implicit differentiation to find the derivative of a function.
Classwork: MC Problems pg8 #9, pg 12 # 2; pg 14 #13,18
#1 (Second six weeks) Pg. 146-147 2,6,10,18,22,26,30,48,54,58