pdf Graphing - Distance vs. Time

This worksheet develops proportional reasoning and function concepts through real-world distance-versus-time scenarios. Students analyze three constant rates—50 miles per hour, 25 miles per hour, and 75 miles per hour—and use each rate to complete a table of values, graph ordered pairs, and write an equation that models the relationship between time and distance.

For each situation, students determine how distance changes over time and represent the relationship algebraically in the form \(d = rt\), such as \(d = 50t\), \(d = 25t\), and \(d = 75t\). After completing the tables, they plot the points on a coordinate plane and observe that each scenario forms a straight line passing through the origin, reinforcing the concept of proportional relationships and constant rate of change.

Because students connect tables, graphs, equations, and context, this resource strengthens their understanding of unit rates, proportional reasoning, and linear functions. It works well as guided practice, independent work, small-group instruction, or assessment preparation when introducing rate, slope, and graphing linear relationships.

Skills Assessed

• Interpreting constant rates

• Completing tables using unit rate reasoning

• Writing equations in the form \(d = rt\)

• Graphing proportional relationships

• Connecting tables, graphs, and equations

• Understanding slope as rate of change

Classroom Use

• Introduction to proportional relationships

• Guided graphing practice

• Independent practice

• Real-world application activity

• Assessment preparation

Details

2 pages
Answer key included

ID# 0587