# 1: Relating Changing Quantities


• 1.1: Changing in Tandem
Mathematics is the art of making sense of patterns. One way that patterns arise is when two quantities are changing in tandem. In this setting, we may make sense of the situation by expressing the relationship between the changing quantities through words, through images, through data, or through a formula.
• 1.2: Functions- Modeling Relationships
• 1.3: The Average Rate of Change of a Function
• 1.4: Linear Functions
Thumbnail: The average rate of change of an abstract function $$f$$ on the interval [a,b].