Pick a car, hit the highway, and discover how distance depends on time. Students write equations, build tables, plot graphs, and compare four vehicles to see why steeper lines mean faster speeds.
Time Drives Distance: A Road Trip Investigation turns Common Core standard 6.EE.C.9 into a hands-on scenario your students will actually want to dig into - planning a family road trip from start to finish. Instead of abstract drills, learners pick their vehicle, set their pace, and discover how time and distance are connected through tables, graphs, and equations they build themselves.
Students start by choosing one of five cars from an interactive image spinner - a Honda Odyssey, Toyota Camry, Ford Explorer, BMW M3, or others - each with its own highway speed. From there, a live travel-time slider lets them watch distance recalculate in real time before they've written a single number. The worksheet then guides them through identifying independent and dependent variables, building a table of (time, distance) pairs, plotting points on a coordinate graph, and writing the equation d = rt for their chosen car. In the final section, a multi-line comparison chart reveals why a steeper line on the graph means a faster rate.
CCSS.MATH.CONTENT.6.EE.C.9 - Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity (the dependent variable) in terms of the other (the independent variable). Analyze the relationship using graphs and tables.
No paper, no calculators required, no setup. Students get instant feedback on every answer, you get a real-time view of who's stuck and who's flying. The car-picking moment hooks even reluctant math students, and the multi-line graph in Section 4 produces the kind of "ohhhh" moment that makes a standard click.
Students will use variables to represent two related quantities in a real-world road trip scenario, write the equation d = rt to express distance as a function of time, build a table of values, plot the relationship on a coordinate graph, and analyze how changes in rate affect the steepness of the line — distinguishing between independent and dependent variables throughout.
The worksheet supports randomization, if enabled, each student will get different car speeds to work on, making copying of answers difficult. Would you like to enable randomization?
💡 Tip: When assigning this activity to your classroom, you can optionally enable randomization to give each student a unique version of the problems. When you re-assign the same worksheet, each student will get a new set of questions, helping them master the content through repeated practice.
Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
All 6.EE.C.9 activities →
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