The following list shows an outline of the topics covered in this course. To see all of the course pages, visit the Table of Contents.
There are three broad categories of instructional units: Logical and Proportional Reasoning, Modeling, and Probability and Statistics. The topics under each category will allow students to demonstrate the course’s learning outcomes. Students will make use of appropriate technology and will be asked to explain their thinking both orally and in writing.
Unit 1: Logical and Proportional Reasoning
- Analyze and solve problems involving absolute and relative change
- Interpret and compare ratios in authentic contexts (e.g., news articles or advertisements)
- Use laws of logic to evaluate the validity of arguments
Module 1A: Problem Solving and Proportional Reasoning
Module 1B: Measurement and Dimensional Analysis
Module 1C: Set Theory and Logic
(optional) Module 1D: Historical Counting Systems
(optional) Module 1E: Fractals
Unit 2: Modeling
- Create, use, and interpret graphs and equations that model real-world situations
- Identify assumptions, parameters, and limitations in creating and assessing real-world models
- Choose, create, and interpret linear, exponential, logarithmic and logistic models of real-world problems
Module 2A: Modeling Growth
Module 2B: Finance
(optional) Module 2C: Graph Theory
(optional) Module 2D: Voting Theory
Unit 3: Probability and Statistics
- Evaluate claims based on empirical, theoretical, and subjective probabilities
- Use data displays and models to determine probabilities, including conditional probabilities, and use them to draw conclusions
- Use statistical information from studies, surveys, and polls to make informed decisions
- Summarize and interpret datasets with regard to shape, center and spread. Be able to compare data sets
- Use technology to summarize and interpret univariate, bivariate, and multivariable data using appropriate graphical displays and numerical summary statistics. Be able to describe strengths, limitations, and bias in graphical displays
