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School City of Hobart |
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School City of Hobart Mathematics |
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Mathematics - IN: Calculus |
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Calculus and Pre-Calculus
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Definite Integral: Fundamental Theorems
The learner will be able to
apply the Fundamental Theorem of Calculus to evaluate definite and indefinite integrals and to illustrate a specific antiderivative, and complete analytical and graphical analysis of functions so defined.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
|
Master |
IN: Academic Standards, 2000, Calculus, C.4.5 |
Classroom
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Definite Integral: Rate of Change
The learner will be able to
determine the definite integral of the rate of change of a quantity over an interval as the change of the quantity over the interval: the integral from a to b of f'(x)dx = f(b) - f(a).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
|
Master |
IN: Academic Standards, 2000, Calculus, C.4.4 |
Classroom
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Definite Integral: Riemann Sum
The learner will be able to
comprehend and apply Riemann sums, the Trapezoidal Rule, and technology to estimate definite integrals of functions illustrated algebraically, geometrically, and by tables of values.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
|
Master |
IN: Academic Standards, 2000, Calculus, C.4.8 |
Classroom
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Definite Integral: Riemann Sums
The learner will be able to
compute the values of Riemann Sums over equal subdivisions applying left, right, and midpoint evaluation points.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
|
Master |
IN: Academic Standards, 2000, Calculus, C.4.2 |
Classroom
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Differential Equations: Solve
The learner will be able to
obtain solutions to separable differential equations and apply them as models.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Differential Equations |
|
Master |
IN: Academic Standards, 2000, Calculus, C.5.2 |
Classroom
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Integration: Define/Apply
The learner will be able to
make definitions of and/or use properties of the definite integral.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
|
Master |
IN: Academic Standards, 2000, Calculus, C.4.6 |
Classroom
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Integration: Use/Model/Solve
The learner will be able to
use integration to model and obtain solutions to problems in other areas outside of mathematics applying the integral as a rate of change to give accumulated change and applying the method of setting up and approximating Riemann Sum and illustrating its limit as a definite integral.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
|
Master |
IN: Academic Standards, 2000, Calculus, C.5.7 |
Classroom
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Derivatives: Comprehend
The learner will be able to
comprehend the idea of the derivative geometrically, numerically, and analytically.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
|
Master |
IN: Academic Standards, 2000, Calculus, C.2.1 |
Classroom
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Derivatives: Slope/Tangent
The learner will be able to
use derivative concepts in solving for slopes, tangents, maximum and minimum points, and points of inflection.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
|
Master |
IN: Academic Standards, 2000, Calculus, Standard 3 |
Classroom
|
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Intermediate Value Theorem: Comprehend
The learner will be able to
comprehend the Intermediate Value Theorem on a function over a closed interval.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Applying Calculus Concepts |
Comprehension |
Master |
IN: Academic Standards, 2000, Calculus, C.1.12 |
Classroom
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Extreme Value Theorem: Comprehend
The learner will be able to
comprehend the Extreme Value Theorem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Applying Calculus Concepts |
Comprehension |
Master |
IN: Academic Standards, 2000, Calculus, C.1.13 |
Classroom
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Intermediate Value Theorem: Apply
The learner will be able to
use the Intermediate Value Theorem on a function over a closed interval.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Applying Calculus Concepts |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.1.12 |
Classroom
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Functions/Relations: Apply
The learner will be able to
apply the relation between differentiability and continuity.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Applying Calculus Concepts |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.2.10 |
Classroom
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Extreme Value Theorem: Application
The learner will be able to
apply an understanding of the extreme value theorem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Applying Calculus Concepts |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.1.13 |
Classroom
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Curves: Analyze
The learner will be able to
study curves, including of monotonicity and concavity.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Curve Sketching |
Analysis |
Master |
IN: Academic Standards, 2000, Calculus, C.3.5 |
Classroom
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Definite Integral: Riemann Sums
The learner will be able to
use Riemann Sums to give a definition of integrals.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Knowledge |
Master |
IN: Academic Standards, 2000, Calculus, Standard 4 |
Classroom
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Definite Integral: Fundamental Theorems
The learner will be able to
understand the fundamental theorems of integral calculus.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Comprehension |
Master |
IN: Academic Standards, 2000, Calculus, C.4.4 |
Classroom
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Definite Integral: Properties
The learner will be able to
understand the properties of the definite integral.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Comprehension |
Master |
IN: Academic Standards, 2000, Calculus, C.4.6 |
Classroom
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Definite Integral: Area
The learner will be able to
apply definite integrals to determine areas.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 5 |
Classroom
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Definite Integral: Volume
The learner will be able to
apply definite integrals to determine volumes.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 5 |
Classroom
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Definite Integral: Area Under Curve
The learner will be able to
use concepts of the definite integral to calculate the area between a curve and the x-axis.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.5.4 |
Classroom
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Definite Integral: Average Value
The learner will be able to
apply definite integrals to determine the average value of a function over a closed interval.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.5.5 |
Classroom
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Definite Integral: Area Between Curves
The learner will be able to
use concepts of the definite integral to calculate the area between two given curves.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.5.4 |
Classroom
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Definite Integral: Volume/Known Areas
The learner will be able to
use concepts of the definite integral to calculate the volume of a solid of revolution where the cross-sectional area is a known value.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.5.6 |
Classroom
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Definite Integral: Riemann Sums
The learner will be able to
interpret the definite integral as a limit of Riemann sums.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Definite Integral |
Analysis |
Master |
IN: Academic Standards, 2000, Calculus, C.4.3 |
Classroom
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Differential Equations: Solve
The learner will be able to
obtain solutions to separable differential equations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Differential Equations |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 5 |
Classroom
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Differential Equation: Solve
The learner will be able to
obtain solutions to differential equations of the form y' = ky as applied to growth and decay problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Differential Equations |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.5.3 |
Classroom
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Integration: Comprehend/Substitution
The learner will be able to
comprehend integration by substitution to determine values of integrals.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Comprehension |
Master |
IN: Academic Standards, 2000, Calculus, C.4.7 |
Classroom
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Integration: Apply/Elementary Properties
The learner will be able to
apply elementary properties of integrals.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 4 |
Classroom
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Integration: Substitution
The learner will be able to
integrate using substitution.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 4 |
Classroom
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Integration: Approximation
The learner will be able to
determine approximate integrals.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 4 |
Classroom
|
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Integration: Fundamental Theorem
The learner will be able to
determine integrals using the Fundamental Theorem of Calculus.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 4 |
Classroom
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Integration: Estimate Definite Integrals
The learner will be able to
estimate the value of a definite integral using rectangles or trapezoids.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.4.1 |
Classroom
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Integration: Apply/Substitution
The learner will be able to
apply integration by substitution to determine values of integrals.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Integration |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.4.7 |
Classroom
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Derivatives: Apply/Definition
The learner will be able to
state the formal definition of a derivative.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Knowledge |
Master |
IN: Academic Standards, 2000, Calculus, C.2.2 |
Classroom
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Derivatives: Mean Value Theorem
The learner will be able to
comprehend the Mean Value Theorem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
IN: Academic Standards, 2000, Calculus, C.2.11 |
Classroom
|
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Derivatives: Comprehend
The learner will be able to
comprehend the relationship of the concavity of functions and the sign of the second order derivative.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Comprehension |
Master |
IN: Academic Standards, 2000, Calculus, C.3.6 |
Classroom
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Derivatives: Apply/Definition
The learner will be able to
use the formal definition of a derivative.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.2.2 |
Classroom
|
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Derivatives: Operations
The learner will be able to
calculate derivatives of sums, products, and quotients.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 2, C.2.4 |
Classroom
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Derivatives: Higher Order
The learner will be able to
calculate higher order derivatives (second derivative, third derivative, etc.).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 2, C.2.8 |
Classroom
|
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Derivatives: Composite/Chain Rule
The learner will be able to
calculate the derivative of composite functions using the chain rule.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.2.5 |
Classroom
|
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Derivatives: Logarithmic Differentiation
The learner will be able to
calculate derivatives using logarithmic differentiation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 2, C.2.9 |
Classroom
|
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Derivative: Slope of a Curve/Point
The learner will be able to
determine the slope of a curve at a point, including points at which there are vertical tangents and no tangents.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.3.1 |
Classroom
|
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Derivatives: Determine/Tangent
The learner will be able to
determine tangent lines to a curve at a point and a local linear approximation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.3.2 |
Classroom
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Derivatives: Mean Value Theorem
The learner will be able to
use the Mean Value Theorem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 2, C.2.11 |
Classroom
|
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Derivatives: Rates of Change
The learner will be able to
use derivatives in solving for both instantaneous and average rates of change.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.3.10 |
Classroom
|
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Derivatives: Initial Conditions
The learner will be able to
apply initial conditions to determine a specific antiderivative.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.5.1 |
Classroom
|
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Derivatives: Determine
The learner will be able to
determine the derivatives of functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.2.3 |
Classroom
|
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Derivative: Determine/Composite
The learner will be able to
determine the derivatives of composites.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 2 |
Classroom
|
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Derivatives: Apply/Graphs
The learner will be able to
apply first and second derivatives to aid in sketching graphs.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.3.7 |
Classroom
|
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Derivatives: Function/Implicitly Defined
The learner will be able to
calculate the derivative of implicitly defined functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.2.6 |
Classroom
|
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Derivatives: Determine
The learner will be able to
apply implicit differentiation to determine derivatives of inverse functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.3.8 |
Classroom
|
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Derivatives: Velocity/Acceleration
The learner will be able to
determine both the velocity and acceleration of an object which is traveling in a straight line.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.3.11 |
Classroom
|
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Antiderivatives: Distance/Velocity
The learner will be able to
use antiderivatives in determining distance and velocity when acceleration and initial conditions are given.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.5.1 |
Classroom
|
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Antiderivatives: Determine
The learner will be able to
determine specific antiderivatives applying initial conditions including applications to motion along a line.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.5.1 |
Classroom
|
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Antiderivatives: Position/Velocity
The learner will be able to
use antiderivatives in determining position functions from velocity functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.5.1 |
Classroom
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Derivatives: Compare
The learner will be able to
make comparisons of the corresponding attributes of the graphs of f, f', and f".
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Analysis |
Master |
IN: Academic Standards, 2000, Calculus, C.3.7 |
Classroom
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Derivatives: Interpret
The learner will be able to
interpret the derivative as a rate of change.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Analysis |
Master |
IN: Academic Standards, 2000, Calculus, C.2.1 |
Classroom
|
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Derivative: Interpret/Rate of Change
The learner will be able to
interpret the derivative as a rate of change in different applied contexts including velocity, speed, and acceleration.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Derivatives/Antiderivatives |
Analysis |
Master |
IN: Academic Standards, 2000, Calculus, C.3.10 |
Classroom
|
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Limits: Limit Concept
The learner will be able to
understand the concept of a limit.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Comprehension |
Master |
IN: Academic Standards, 2000, Calculus, Standard 1, C.1.1 |
Classroom
|
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Limits: Infinity
The learner will be able to
explain asymptotic behavior in terms of limits involving infinity.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Comprehension |
Master |
IN: Academic Standards, 2000, Calculus, C.1.7 |
Classroom
|
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Limits: Comprehend/Rate of Change
The learner will be able to
comprehend instantaneous rate of change as the limit of average rate of change.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Comprehension |
Master |
IN: Academic Standards, 2000, Calculus, C.3.10 |
Classroom
|
|
Limits: Substitution
The learner will be able to
determine limits using substitution.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.1.2 |
Classroom
|
|
Limits: At Infinity
The learner will be able to
determine limits which are set at infinity.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.1.6 |
Classroom
|
|
Limits: Infinite
The learner will be able to
determine when the limit of a given expression is infinite.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.1.7 |
Classroom
|
|
Limits: One-Sided
The learner will be able to
determine limits which are one-sided.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.1.5 |
Classroom
|
|
Limits: Approximate/Graphs/Tables
The learner will be able to
approximate limits from graphs or tables of data.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.1.1 |
Classroom
|
|
Limits: Determine
The learner will be able to
determine limits of sums, differences, products, and quotients.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.1.3 |
Classroom
|
|
Differentiation: Comprehend
The learner will be able to
comprehend the relationship between differentiability and continuity.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Differentiation |
Comprehension |
Master |
IN: Academic Standards, 2000, Calculus, C.2.10 |
Classroom
|
|
Inverses: Derivatives
The learner will be able to
find the derivative of the inverse of a function.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Inverses |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 2, C.2.7 |
Classroom
|
|
Limits: Identify/Special Limits
The learner will be able to
identify the limit of special functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Knowledge |
Master |
IN: Academic Standards, 2000, Calculus, C.1.8 |
Classroom
|
|
Limits: Continuity
The learner will be able to
illustrate a comprehension of continuity in terms of limits.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Comprehension |
Master |
IN: Academic Standards, 2000, Calculus, C.1.9 |
Classroom
|
|
Limits: Determine/Functions
The learner will be able to
determine limits of functions at points and at infinity.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 1 |
Classroom
|
|
Limits: Rational Function/Indeterminant
The learner will be able to
determine the limit of a rational function which is in indeterminant form.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Limits |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.1.4 |
Classroom
|
|
Functions: Derivative/Definition
The learner will be able to
demonstrate an understanding of the definitions of the derivative of a function.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Calculus with Functions |
Comprehension |
Master |
IN: Academic Standards, 2000, Calculus, C.2.2 |
Classroom
|
|
Functions: Comprehend
The learner will be able to
comprehend the relationship between the increasing and decreasing behavior of functions and the sign of the first order derivative.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Calculus with Functions |
Comprehension |
Master |
IN: Academic Standards, 2000, Calculus, C.3.3 |
Classroom
|
|
Functions: Comprehend/Point/Inflection
The learner will be able to
comprehend that points of inflection are places where concavity changes.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Calculus with Functions |
Comprehension |
Master |
IN: Academic Standards, 2000, Calculus, C.3.6 |
Classroom
|
|
Functions: Derivative/Types
The learner will be able to
find derivatives of the following types of functions: logarithmic, exponential, trigonometric, and algebraic.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Calculus with Functions |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 2, C.2.3 |
Classroom
|
|
Functions: Determine/Maxima/Minima
The learner will be able to
determine local and absolute maximum and minimum points.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Calculus with Functions |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.3.4 |
Classroom
|
|
Functions: Determine/Position
The learner will be able to
determine position functions from their derivatives.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Calculus with Functions |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 5 |
Classroom
|
|
Functions: Determine/Velocity
The learner will be able to
determine velocity functions from their derivatives.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Calculus with Functions |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 5 |
Classroom
|
|
Functions: Apply/Continuity
The learner will be able to
apply continuity theorems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Calculus with Functions |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 1 |
Classroom
|
|
Functions: Continuous
The learner will be able to
identify whether a given function is continuous.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Functions |
Knowledge |
Master |
IN: Academic Standards, 2000, Calculus, Standard 1 |
Classroom
|
|
Functions: Increasing/Decreasing
The learner will be able to
identify where a function is increasing and where it is decreasing.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Functions |
Knowledge |
Master |
IN: Academic Standards, 2000, Calculus, C.3.3 |
Classroom
|
|
Functions: Continuous at a Point
The learner will be able to
find whether a given function is continuous at a point.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Functions |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.1.10 |
Classroom
|
|
Functions: Points of Inflection
The learner will be able to
determine the points of inflection of functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Functions |
Application |
Master |
IN: Academic Standards, 2000, Calculus, C.3.6 |
Classroom
|
|
Functions: Discontinuity Types/Classify
The learner will be able to
classify types of discontinuities of functions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Functions |
Analysis |
Master |
IN: Academic Standards, 2000, Calculus, C.1.11 |
Classroom
|
|
Modeling: Rate of Change
The learner will be able to
create models of rates of change, including associated rates problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Mathematical Modeling |
|
Master |
IN: Academic Standards, 2000, Calculus, C.3.12 |
Classroom
|
|
Measurement Concepts: Rate of Change
The learner will be able to
use the concept of rate of change.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Measurement Concepts |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 3 |
Classroom
|
|
Optimization Problems
The learner will be able to
solve optimization problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Correlation/Deviation/Variance |
Application |
Master |
IN: Academic Standards, 2000, Calculus, Standard 3, C.3.9 |
Classroom
|
|
|
