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Using Theoretical and Experimental Probability to Make Predictions

Given an event to simulate, the student will use theoretical probabilities and experimental results to make predictions and decisions.

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Using Multiplication by a Constant Factor

Given problems involving proportional relationships, the student will use multiplication by a constant factor to solve the problems.

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Predicting, Finding, and Justifying Data from a Table

Given data in table form, the student will use the data table to interpret solutions to problems.

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Determining Slopes from Equations, Graphs, and Tables

Given algebraic, tabular, and graphical representations of linear functions, the student will determine the slope of the relationship from each of the representations.

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Predicting, Finding, and Justifying Data from Verbal Descriptions

Given data in a verbal description, the student will use equations and tables to solve and interpret solutions to problems.

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Converting Between Measurement Systems

Given a real-world situation with measurements in either metric/SI or customary units, the student will solve a problem requiring them to convert from one system to the other.

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Finding the Probabilities of Dependent and Independent Events

Given problem situations, the student will find the probability of the dependent and independent events.

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Recognizing Misuses of Graphical or Numerical Information

Given a problem situation, the student will analyze data presented in graphical or tabular form by evaluating the predictions and conclusions based on the information given.

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Evaluating Methods of Sampling from a Set of Data

Given a problem situation, the student will evaluate a method of sampling to determine the validity of an inference made from the set of data.

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Introducing Conic Sections

Given a verbal description or a pictorial representation, the student will describe a conic section as the intersection of a cone and a plane.

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Graphing Conic Sections: Ellipses

Given an equation, the student will use parameter changes to graph an ellipse and to identify the changes in the graph of an ellipse.

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Graphing Conic Sections: Hyperbolas

Given an equation, the student will use parameter changes to graph a hyperbola and to identify the changes in the graph of a hyperbola.

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6.01 Probability and the Law of Large Numbers

In this video, students are introduced to the concept of probability using the Law of Large Numbers.

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6.02 Probability Terminology

In this video, students learn key terminology associated with probability.

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6.03 Venn Diagrams

In this video, students represent and calculate probabilities using Venn diagrams.

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6.04 Independent and Mutually Exclusive Events

In this video, students calculate probabilities for independent events and mutually exclusive events.

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6.05 Contingency Tables

In this video, students calculate probabilities using a two-way contingency table.

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6.06 Tree Diagrams

In this video, students calculate conditional probabilities using a tree diagram.

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6.07 Discrete Random Variables

In this video, students are introduced to discrete random variables.

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6.08 The Binomial Distribution

In this videos, students use the binomial distribution to find the expected value, variance, and probabilities associated with a binomial random variable.