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.
Using Logical Reasoning to Prove Conjectures about Circles
Given conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.
Generalizing Geometric Properties of Ratios in Similar Figures
Students will investigate patterns to make conjectures about geometric relationships and apply the definition of similarity, in terms of a dilation, to identify similar figures and their proportional sides and congruent corresponding angles.
Determining Area: Sectors of Circles
Students will use proportional reasoning to develop formulas to determine the area of sectors of circles. Students will then solve problems involving the area of sectors of circles.
Making Conjectures About Circles and Segments
Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties and relationships among the resulting segments.
Determining Area: Regular Polygons and Circles
The student will apply the formula for the area of regular polygons to solve problems.
Making Conjectures About Circles and Angles
Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties of and relationships among the resulting angles.
Solving Problems With Similar Figures
Given problem situations involving similar figures, the student will use ratios to solve the problems.
Introduction to Logical Reasoning
This activity provides the opportunity to explore the validity of the converse, inverse, and contrapositive of statements. It also assists in recognizing the connections between biconditional statements and true conditional statements with a true converse.
Introduction to Probability
This activity provides the opportunity to explore the difference between finding the probability of independent events and dependent events. It also addresses how to use a tree diagram when calculating conditional probabilities.