The Graph That Looks Like a Hill · Motion Foundations · Lab Activity 1

Mode:
Drive the walker — watch the graph draw itself2–3 minutes · free play
Drag the walker along the track (or use the ←/→ keys). Press Start and the graph below records position x against clock reading t for 10 seconds. The +x direction points right.
clock reading t = 0.0 sposition x = 3.0 m
Teacher: let two or three students drive. Ask after each run: where on the track was the walker when the line was steepest? No vocabulary yet — just looking.
Predict the graph — then confront ittwo rounds · commit before reveal
Enter the class's own event table from the physical walk — each row is one event: a position paired with a clock reading. Then commit to one candidate graph in ink on the worksheet before pressing Reveal.
The class's event table
Match the target graphthree levels · Level 3 is special
A target graph is drawn. Press Start, then drive the walker so your line lands inside the shaded corridor (±0.75 m). Level 3 shows its target with no corridor — you will see why.
t = 0.0 sx = 0.0 mworst gap so far =
Two cars, one crossingthe freeze-frame question
Car A and Car B drive along parallel straight tracks. The graph plots both positions against the clock reading. Play the motion; it pauses automatically at t = 4 s. Commit all answers in ink before Reveal.
t = 0.0 s
Builder — construct a motion from claimssegments of steady velocity · pin a claim · resolve conflicts
Build a motion out of segments of steady velocity — each segment says: for this many seconds, the walker’s position changes by this many metres each second. Then pin a claim of your own (“at t = …, x = …”) and see whether your claims agree.
Your model
Start position x₀ = m
Pin a claim
at t = s , x = m
Challenges
About this activity (provenance)

Interactive motion↔graph work has a four-decade lineage: Trowbridge’s Graphs & Tracks, PhET’s Moving Man, microcomputer-based “graph match” laboratories (Thornton & Sokoloff 1990), and the Interactive Lecture Demonstration commit-before-reveal protocol. Step-level checking of student work goes back to the Andes physics tutor (VanLehn et al., Int. J. Artificial Intelligence in Education 15, 2005). This activity’s contribution is narrower: every candidate and every reveal is wired to the misconception taxonomy of the FundaFirst HS Motion Foundations diagnostic (Arons; Trowbridge & McDermott 1980; McDermott, Rosenquist & van Zee 1987; Beichner 1994), so what a class does here speaks the same language as its heatmap and remediation worksheet.