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Domain and Range: Numerical Representations

Given a function in the form of a table, mapping diagram, and/or set of ordered pairs, the student will identify the domain and range using set notation, interval notation, or a verbal description as appropriate.

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Transformations of Square Root and Rational Functions

Given a square root function or a rational function, the student will determine the effect on the graph when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values.

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Transformations of Exponential and Logarithmic Functions

Given an exponential or logarithmic function, the student will describe the effects of parameter changes.

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Solving Square Root Equations Using Tables and Graphs

Given a square root equation, the student will solve the equation using tables or graphs - connecting the two methods of solution.

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Functions and their Inverses

Given a functional relationship in a variety of representations (table, graph, mapping diagram, equation, or verbal form), the student will determine the inverse of the function.

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Rational Functions: Predicting the Effects of Parameter Changes

Given parameter changes for rational functions, students will be able to predict the resulting changes on important attributes of the function, including domain and range and asymptotic behavior.

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Transformations of Absolute Value Functions

Given an absolute value function, the student will analyze the effect on the graph when f(x) is replaced by af(x), f(bx), f(x – c), and f(x) + d for specific positive and negative real values.

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2.07 Lurking and Confounding Variables

In this video, students learn the difference between lurking and confounding variables and how they affect results.

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2.08 Generalizability of Results and Conclusions

In this video, students learn how to interpret results and draw conclusions based on them.

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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.

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6.09 Binomial Approximation

In this videos, students approximate the binomial distribution with the normal distribution for large samples.

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5.01 Measuring Center of a Distribution

In this video. students will learn three measurements of center, calculate those measurements, and compare the mean and median of data sets.

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5.02 Measuring Spread of a Distribution

In this video, students will learn four measurements of spread, and calculate them by hand and on a calculator for several data sets.