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Pre-Calculus
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Standards |
Description |
Lessons |
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1 |
Perform the
vector operations of addition, scalar multiplication, and absolute
value. |
14 |
|
2 |
Define e using the limit forms of
 ,
 ,
and
 . |
3 |
|
3 |
Graph conic
sections, including parabolas, hyperbolas, ellipses, circles, and
degenerate conics, from second-degree equations. |
6 |
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4 |
Analyze the graphs of rational, logarithmic, exponential,
trigonometric, and piecewise-defined functions by determining the
domain and range; identifying any vertical, horizontal, or oblique
asymptotes; and classifying the function as increasing or
decreasing, continuous or discontinuous, and noting the type of
discontinuity if one exists. |
16 |
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5 |
Analyze the
effects of parameter changes on the graphs of trigonometric,
logarithmic, and exponential functions. |
14 |
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6 |
Apply the laws
of logarithms to simplify expressions and to solve equations using
common logarithms, natural logarithms, and logarithms with other
bases. |
9 |
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7 |
Solve
trigonometric equations and inequalities using sum, difference, and
half- and double-angle identities. |
5 |
|
8 |
Use parametric
equations to represent real-life and mathematical situations. |
4 |
|
9 |
Solve applied
problems involving sequences with recurrence relations. |
13 |
|
10 |
Find limits of
functions at specific values and at infinity numerically,
algebraically, and graphically. |
4 |
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11 |
Convert
coordinates, equations, and complex numbers in Cartesian form to
polar form and from polar form to Cartesian form. |
7 |
|
12 |
Determine the
equation of a curve of best fit from a set of data by using
exponential, quadratic, or logarithmic functions. |
5 |
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Mobile County Public Schools
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