Module 17: Numerical & Algebraic Expressions

Numerical Expressions

Algebraic Expressions

Variables as Unknowns, Changing Quantities, & Generalized Numbers

Properties of Operations as Foundations for Algebra

Module 18: Equality & Equations

Algebraic Equality

Algebraic Equations

Meaning of the Equal Sign

True, False, & Open Number Sentences

Relational Thinking

Balance Models for Equations

Module 19: Patterns & Generalizations

Geometric Patterns

Number Patterns

Finding Rules in Repetition

Recursive vs. Explicit Patterns

Generalizing a Pattern with Variables

Module 20: Introduction to Functions

Inputs, Outputs, & Rules

Function Tables

Graphing Functions

Multiple Representations of Functions

Module 21: Linear & Nonlinear Relationships

Linear Functions

Other Functions

Constant vs. Changing Rate of Change

Comparing Linear & Nonlinear Patterns

Module 22: Mathematical Structure & Problem Solving

Geometric Problems

Describing Geometry

Looking for Structure

Making and Testing Conjectures

Explaining Mathematical Reasoning

Module 23: Foundations of Probability

Basic Probability

Probability Rules

Experiments & Simulations

Experimental vs. Theoretical Probability

Sample Spaces & Outcomes

Module 24: Collecting & Understanding Data

Sampling Methods

Types of Data

Statistical Questions

Population vs. Sample

Bias in Data Collection

Module 25: Displaying Data

Displaying Categorical Data

Bar Charts & Pie Charts

Displaying Numerical Data

Histograms & Dotplots

Choosing an Appropriate Data Display

Interpreting Misleading Graphs

Module 26: Describing & Comparing Data

Measures of Center

Weighted Averages

Quartiles & Boxplots

Standard Deviation

Measures of Spread

Comparing Distributions

Center, Shape, Spread, & Outliers