Classroom » Curriculum Standards

Integrated Mathematics 4

Goal 4: Algebra - The learner will use relations and functions to solve problems.

Objective 4.01

Use functions (polynomial, power, rational, exponential, logarithmic, logistic, piecewise-defined, and greatest integer) to model and solve problems; justify results.

• Solve using graphs and algebraic properties.
• Interpret the constants, coefficients, and bases in the context of the problem.

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Objective 4.02

Use recursively-defined functions to model and solve problems.

• Find the sum of a finite sequence.
• Find the sum of an infinite sequence.
• Determine whether a given series converges or diverges.
• Translate between recursive and explicit representations.

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Objective 4.03

Use the composition and inverse of functions to model and solve problems.

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Objective 4.04

Use trigonometric and inverse trigonometric functions to model and solve problems.

• Solve using graphs and algebraic properties.
• Create and identify transformations with respect to period, amplitude, and vertical and horizontal shifts.

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Objective 4.05

Use polar equations to model and solve problems.

• Solve using graphs and algebraic properties.
• Interpret the constants and coefficients in the context of the problem.

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Objective 4.06

Use parametric equations to model and solve problems.

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Objective 4.07

Find the rate of change at any point of a function.

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