Standards » NC Standard Course of Study & aligned resources

Advanced Functions and Modeling

Goal 1: Data Analysis and Probability - The learner will analyze data and apply probability concepts to solve problems.

Objective 1.01

Create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, and logarithmic functions of bivariate data to solve problems.

• Interpret the constants, coefficients, and bases in the context of the data.
• Check models for goodness-of-fit; use the most appropriate model to draw conclusions and make predictions.

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Objective 1.02

Summarize and analyze univariate data to solve problems.

• Apply and compare methods of data collection.
• Apply statistical principles and methods in sample surveys.
• Determine measures of central tendency and spread.
• Recognize, define, and use the normal distribution curve.
• Interpret graphical displays of univariate data.
• Compare distributions of univariate data.

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Objective 1.03

Use theoretical and experimental probability to model and solve problems.

• Use addition and multiplication principles.
• Calculate and apply permutations and combinations.
• Create and use simulations for probability models.
• Find expected values and determine fairness.
• Identify and use discrete random variables to solve problems.
• Apply the Binomial Theorem.

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