College Calculus Math Curriculum - Dual Credit, Highland CC
by Karen Morton
November 22, 2004
USD 380 Mathematics Curriculum
Scope and Sequence
College Calculus Standards
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Standard 1 Number and Computation |
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Indicators: The student |
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CC 1.1 |
identifies and understands sets of the complex number system. |
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CC 1.2 |
performs basic operations of complex number systems and functions. |
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CC 1.3 |
uses and understands the distance formula, finds center and radius of a circle. |
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CC 1.4 |
uses and understands sigma notation to find the sum or a series. |
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Standard 2 Algebra |
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CC 2.1 |
solves and understands absolute value, linear equations, quadratic equations, and functions. |
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CC 2.2 |
evaluates limits. |
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CC 2.3 |
computes the derivatives using techniques of differentiation, knows the product, quotient and chain rules. |
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CC 2.4 |
uses and understands implicit differentiation. |
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CC 2.5 |
solves related rates problems, acceleration problems and maximum and minimum problems using derivatives and integration. |
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CC 2.6 |
computes the definite and indefinite integral, and integrate by parts. |
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Standard 3 Geometry |
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CC 3.1 |
graphs functions, trigonometry functions and inverse functions on the coordinate plane. |
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CC 3.2 |
computes limits by evaluating graphs. |
CC 3.3 |
graphs functions by parts. |
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CC 3.4 |
analyzes a graph for continuity, intervals of increase and decrease, changes in concavity. |
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CC 3.5 |
identifies critical points and inflection points on a graph. |
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CC 3.6 |
graphs polynomials and rational functions using calculus. |
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CC 3.7 |
finds area between two curves, volumes by slicing and using cylindrical shells. |
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CC 3.8 |
finds the length of a plane curve and the area of the surface of revolution. |
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Standard 4 Data |
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CC 4.1 |
analyzes and interprets data and solves real world problems using calculus. |






