Ratio and Proportional Relationships

Compute unit rates associated with ratios of fractions to solve real-world and mathematical problems.

Recognize and represent proportional relationships between quantities.

Understand that a proportion is a relationship of equality between ratios. o Represent proportional relationships using tables and graphs. o Recognize whether ratios are in a proportional relationship using tables and graphs. o Compare two different proportional relationships using tables, graphs, equations, and verbal descriptions.

Identify the unit rate (constant of proportionality) within two quantities in a proportional relationship using tables, graphs, equations, and verbal descriptions.

Create equations and graphs to represent proportional relationships.

Use a graphical representation of a proportional relationship in context to: o Explain the meaning of any point (𝑥, 𝑦). o Explain the meaning of (0, 0) and why it is included. o Understand that the 𝑦-coordinate of the ordered pair (1, 𝑟) corresponds to the unit rate and explain its meaning.

Use scale factors and unit rates in proportional relationships to solve ratio and percent problems.