Page 2: Exploring Proportional Relationships

This page delves into various examples of proportional relationships, using real-world scenarios to illustrate the concept. The content examines how to identify and analyze proportional relationships through different examples.

Example: The relationship between eggs and cups of milk in a recipe demonstrates how proportional relationships maintain consistent ratios.

Highlight: A true proportional relationship can be expressed as y = kx, where k remains constant throughout the relationship.

Definition: Proportional relationships maintain constant ratios between corresponding quantities.

Page 1: Understanding Constants of Proportionality

This page introduces the fundamental concepts of proportional relationships and their constants. The content explores how the constant of proportionality connects two quantities in a mathematical relationship.

Definition: A constant of proportionality is a number that relates two quantities in a proportional relationship, expressed as y = kx, where k is the constant.

Example: Zion's jump rope scenario demonstrates a practical application, where 135 skips in 3 minutes yields a constant of proportionality of 45 skips per minute.

Highlight: The constant of proportionality is equivalent to the unit rate, making it essential to understand which quantity represents x in the equation.

Vocabulary: Unit rate - the rate at which one quantity changes in relation to one unit of another quantity.