Module 2: Developing Function Foundations
.
Module 3: Investigating Growth and Decay
.
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.
Interpreting Scatterplots
![OnTrack OnTrack logo](https://d1yqpar94jqbqm.cloudfront.net/styles/resource_icon_small/s3/images/ontrack_large_9_binder_1.png?itok=bGsrJJzj)
Given scatterplots that represent problem situations, the student will determine if the data has strong vs weak correlation as well as positive, negative, or no correlation.
Making Predictions and Critical Judgments (Table/Verbal)
![OnTrack OnTrack logo](https://d1yqpar94jqbqm.cloudfront.net/styles/resource_icon_small/s3/images/ontrack_large_9_binder_1.png?itok=bGsrJJzj)
Given verbal descriptions and tables that represent problem situations, the student will make predictions for real-world problems.
Collecting Data and Making Predictions
![OnTrack OnTrack logo](https://d1yqpar94jqbqm.cloudfront.net/styles/resource_icon_small/s3/images/ontrack_large_9_binder_1.png?itok=bGsrJJzj)
Given an experimental situation, the student will write linear functions that provide a reasonable fit to data to estimate the solutions and make predictions.
Writing Expressions to Model Patterns (Table/Pictorial → Symbolic)
![OnTrack OnTrack logo](https://d1yqpar94jqbqm.cloudfront.net/styles/resource_icon_small/s3/images/ontrack_large_9_binder_1.png?itok=bGsrJJzj)
Given a pictorial or tabular representation of a pattern and the value of several of their terms, the student will write a formula for the nth term of a sequences.
Kid2Kid: Determining the Meaning of Slope and Intercepts
![OnTrack OnTrack logo](https://d1yqpar94jqbqm.cloudfront.net/styles/resource_icon_small/s3/images/ontrack_large_9_binder_1.png?itok=bGsrJJzj)
Kid2Kid videos on determining the meaning of slope and intercepts in English and Spanish
Interactive Math Glossary
![Interactive Math Glossary Icon Interactive Math Glossary Icon](https://d1yqpar94jqbqm.cloudfront.net/styles/resource_icon_small/s3/images/icon.png?itok=znBXupif)
Writing Verbal Descriptions of Functional Relationships
![OnTrack OnTrack logo](https://d1yqpar94jqbqm.cloudfront.net/styles/resource_icon_small/s3/images/ontrack_large_9_binder_1.png?itok=bGsrJJzj)
Given a problem situation containing a functional relationship, the student will verbally describe the functional relationship that exists.