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Algebra I - Module 1, Topic 2: Sequences
In this topic, students explore sequences represented as lists of numbers, in tables of values, by equations, and as graphs on the coordinate plane. Students move from an intuitive understanding of patterns to a more formal approach of representing sequences as functions. In the final lesson of the topic, students are introduced to the modeling process. Defined in four steps—Notice and Wonder, Organize and Mathematize, Predict and Analyze, and Test and Interpret—the modeling process gives students a structure for approaching real-world mathematical problems.
Algebra I - Module 1, Topic 3: Linear Regressions
In this topic, students focus on the patterns that are evident in certain data sets and use linear functions to model those patterns. Using the informal knowledge of lines of best fit that was built in previous grades, students advance their statistical methods to make predictions about real-world phenomena. They differentiate between correlation and causation, recognizing that a correlation between two quantities does not necessarily mean that there is also a causal relationship. At the end of this topic, students will synthesize what they have learned to decide whether a linear model is appropriate.
3.04 Bar Charts
In this video, students learn about bar charts as well as how to read and construct one.
3.05 Comparing Distributions
In this video, students will compare bar charts, pie charts, and frequency tables to see differences in results.
2.01 Sample Surveys
In this video, students are introduced to surveys and the idea that substantial size and random selection are necessary for good results.
2.02 Sources of Bias in Sampling and Surveys
In this video, students learn about the bias that occurs in sampling.
2.03 Sampling Methods, Part 1
In this video, students learn various ways of obtaining sample data.
2.04 Sampling Methods, Part 2
In this video, students continue with practice problems about different sampling techniques.
2.05 Experiments vs. Observational Studies
In this video, students explore the differences between experiments and observational studies.
2.06 Three Principles of Experimental Design
In this video, students learn about replication, randomization, and control when designing and implementing an experiment.
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.