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AP Calculus AB |
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Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
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January 21 |
22 |
23 |
24 |
25 |
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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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28 |
29 |
30 |
31 |
February 1 |
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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 3.1 |
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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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4 |
5 |
6 |
7 |
8 |
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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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11 |
12 |
13 |
14 |
15 |
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Test 3.2 |
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The natural logarithmic function and differentiation |
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The natural logarithmic function and integration |
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18 |
19 |
20 |
21 |
22 |
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Inverse functions |
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Test 3.3 |
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25 |
26 |
27 |
28 |
29 |
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Exponential functions: differentialtion |
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Exponential functions: integration |
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March 3 |
4 |
5 |
6 |
7 |
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Bases other than e and applications |
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Test 3.4; π day activities assigned |
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Inverse trig functions and differentiation |
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10 |
11 |
12 |
13 |
14 |
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Inverse trig functions and integration |
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π day activities; Review of transcendental functions and calculus |
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17 |
18 |
19 |
20 |
21 |
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24 |
25 |
26 |
27 |
28 |
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Test 3.5 |
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Solving separable differential equations & applications of differential equations in modeling, including exponential growth |
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Use of slope fields to interpret a differential equation geometrically & drawing slope fields and solution curves for differential equations; Euler’s method |