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LA.1112.1.6.1:
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The student will use new vocabulary that is introduced and taught directly;
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LA.1112.1.6.9:
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The student will determine the correct meaning of words with multiple meanings in context;
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LA.1112.2.2.3:
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The student will organize information to show understanding or relationships among facts, ideas, and events (e.g., representing key points within text through charting, mapping, paraphrasing, summarizing, comparing, contrasting, outlining);
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MA.912.C.1.6:
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Find limits at infinity.
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Moderate
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MA.912.C.1.7:
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Decide when a limit is infinite and use limits involving infinity to describe asymptotic behavior.
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Moderate
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MA.912.C.1.8:
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Find special limits such as 
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Moderate
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MA.912.C.2.1:
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Understand the concept of derivative geometrically, numerically, and analytically, and interpret the derivative as an instantaneous rate of change or as the slope of the tangent line.
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High
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MA.912.C.2.2:
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State, understand, and apply the definition of derivative.
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Moderate
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MA.912.C.2.3:
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Find the derivatives of functions, including algebraic, trigonometric, logarithmic, and exponential function s.
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Low
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MA.912.C.2.4:
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Find the derivatives of sums, products, and quotients.
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Low
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MA.912.C.2.5:
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Find the derivatives of composite functions using the Chain rule.
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Moderate
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MA.912.C.2.6:
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Find the derivatives of implicitly-defined functions.
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Moderate
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MA.912.C.2.7:
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Find derivatives of inverse functions.
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Moderate
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MA.912.C.2.8:
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Find second derivatives and derivatives of higher order.
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Low
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MA.912.C.2.9:
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Find derivatives using logarithmic differentiation.
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Moderate
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MA.912.C.2.10:
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Understand and use the relationship between differentiability and continuity.
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Moderate
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MA.912.C.2.11:
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Understand and apply the mean Value theorem.
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Moderate
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MA.912.C.3.1:
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Find the slope of a curve at a point, including points at which there are vertical tangent lines and no tangent lines.
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Moderate
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MA.912.C.3.2:
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Find an equation for the tangent line to a curve at a point and a local linear approximation.
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Moderate
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MA.912.C.3.3:
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Decide where functions are decreasing and increasing. Understand the relationship between the increasing and decreasing behavior of f and the sign of f'.
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Moderate
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MA.912.C.3.4:
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Find local and absolute maximum and minimum points.
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Moderate
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MA.912.C.3.5:
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Find points of inflection of functions. Understand the relationship between the concavity of f and the sign of f". Understand points of inflection as places where concavity changes.
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Moderate
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MA.912.C.3.6:
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Use first and second derivatives to help sketch graphs. Compare the corresponding characteristics of the graphs of f, f', and f".
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High
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MA.912.C.3.7:
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Use implicit differentiation to find the derivative of an inverse function.
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Moderate
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MA.912.C.3.8:
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Solve optimization problems.
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Moderate
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MA.912.C.3.9:
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Find average and instantaneous rates of change. Understand the instantaneous rate of change as the limit of the average rate of change. Interpret a derivative as a rate of change in applications, including velocity, speed, and acceleration.
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Moderate
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MA.912.C.3.10:
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Find the velocity and acceleration of a particle moving in a straight line.
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Moderate
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MA.912.C.3.11:
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model rates of change, including related rates problems.
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High
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MA.912.C.4.1:
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Use rectangle approximations to find approximate values of integrals.
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Low
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MA.912.C.4.2:
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Calculate the values of Riemann sums over equal subdivisions using left, right, and midpoint evaluation points.
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Low
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MA.912.C.4.3:
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Interpret a definite integral as a limit of Riemann sums.
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Moderate
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MA.912.C.4.4:
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Interpret a definite integral of the rate of change of a quantity over an interval as the change of the quantity over the interval. That is,  f'(x)dx = f(b) - f(a) (Fundamental theorem of Calculus).
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High
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MA.912.C.4.5:
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Use the Fundamental theorem of Calculus to evaluate definite and indefinite integrals and to represent particular antiderivatives. Perform analytical and graphical analysis of functions so defined.
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Moderate
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MA.912.C.4.6:
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Use these properties of definite integrals:
 [f(x) + g(x)]dx = f(x)dx + g(x)dx - k • f(x)dx = k f(x)dx
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 f(x)dx = 0
- f(x)dx = -
 f(x)dx
- f(x)dx +
 f(x)dx =  f(x)dx
- If f(x) ≤ g(x) on [a, b], then f(x)dx ≤ g(x)dx
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Low
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MA.912.C.4.7:
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Use integration by substitution (or change of variable) to find values of integrals.
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Moderate
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MA.912.C.4.8:
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Use Riemann sums, the Trapezoidal rule, and technology to approximate definite integrals of functions represented algebraically, geometrically, and by tables of values.
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Moderate
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MA.912.C.5.1:
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Find specific antiderivatives using initial conditions, including finding velocity functions from acceleration functions, finding position functions from velocity functions, and solving applications related to motion along a line.
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Moderate
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MA.912.C.5.5:
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Use definite integrals to find the area between a curve and the x-axis or between two curves.
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Moderate
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MA.912.C.5.7:
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Use definite integrals to find the volume of a solid with known cross-sectional area, including solids of revolution.
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High
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MA.912.C.5.8:
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Apply integration to model, and solve problems in physical, biological, and social sciences.
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Moderate
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