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AP Calculus BC |
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Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
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October 29 |
30 |
31 |
November 1 |
2 |
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Application problems including position, velocity,
acceleration, and rectilinear motion |
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Test 2.1 |
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5 |
6 |
7 |
8 |
9 |
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Antiderivatives and indefinite integration, including antiderivatives following directly from derivatives of basic functions & basic properties of the definite integral |
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Area under a curve |
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12 |
13 |
14 |
15 |
16 |
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Meaning of the definite integral, definite integral as a limit of Riemann sums, Riemann sums, including left, right, and midpoint sums, trapezoidal sums, use of Riemann sums and trapezoidal sums to approximate definite integrals, trapezoidal sums project assigned |
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Test 2.2 |
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Discovery lesson on the First Fundamental Theorem of Calculus, use of the First Fundamental Theorem to evaluate definite integrals |
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19 |
20 |
21 |
22 |
23 |
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26 |
27 |
28 |
29 |
30 |
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Discovery lesson on the Second Fundamental Theorem of Calculus, The Second Fundamental Theorem of Calculus and functions defined by integrals, The Mean Value Theorem for Integrals and the average value of a function |
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Trapezoidal sums project due, use of substitution of variables to evaluate definite integrals, integration by substitution |
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December 3 |
4 |
5 |
6 |
7 |
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Test 2.3 |
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The natural logarithmic function and differentiation |
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The natural logarithmic function and integration |
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10 |
11 |
12 |
13 |
14 |
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Inverse functions |
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Exponential functions: differentiation and integration, bases other than e, and applications |
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17 |
18 |
19 |
20 |
21 |
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Test 2.4 |
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Inverse trig functions and differentiation |
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24 |
25 |
26 |
27 |
28 |
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31 |
January 1 |
2 |
3 |
4 |
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Inverse trig functions and differentiation |
Inverse trig functions and integration |
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7 |
8 |
9 |
10 |
11 |
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Test 2.5 |
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Fall Exam Review |
Fall Exam Review |
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14 |
15 |
16 |
17 |
18 |
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Fall Exam Review |
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