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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.
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.
Transformations of Exponential and Logarithmic Functions
Given an exponential or logarithmic function, the student will describe the effects of parameter changes.
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.
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.
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.
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.
2.07 Lurking and Confounding Variables
In this video, students learn the difference between lurking and confounding variables and how they affect results.
2.08 Generalizability of Results and Conclusions
In this video, students learn how to interpret results and draw conclusions based on them.
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.
6.02 Probability Terminology
In this video, students learn key terminology associated with probability.
6.03 Venn Diagrams
In this video, students represent and calculate probabilities using Venn diagrams.
6.04 Independent and Mutually Exclusive Events
In this video, students calculate probabilities for independent events and mutually exclusive events.
6.05 Contingency Tables
In this video, students calculate probabilities using a two-way contingency table.
6.06 Tree Diagrams
In this video, students calculate conditional probabilities using a tree diagram.
6.07 Discrete Random Variables
In this video, students are introduced to discrete random variables.
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.
6.09 Binomial Approximation
In this videos, students approximate the binomial distribution with the normal distribution for large samples.
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.
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.