We’re turning graphs into sound. Each short “beep” walks from the left of the graph to the right.
Two ways we make sound:
• Value → Pitch (V2P): Higher graph = higher note. Lower graph = lower note.
• Slope → Pitch (S2P): Steeper = higher note. Flatter = lower note. (You’re “hearing” how fast the graph is changing.)
All clips use the same instrument, speed, and pitch range.
Lesson Objectives
By the end of the class, students will be able to:
- Explain how graph height maps to pitch in V2P.
- Explain how graph rate of change (slope) maps to pitch in S2P.
- Match sounds to graphs (and vice versa) for linear, exponential/log, quadratic, and logistic examples.
Aligned competencies
M11GM-Ia-1
M11GM-Ia-4
M11GM-Ie-3
M11GM-If-2
M11GM-Ih-1
Before Class
- Check speakers or student headphones; set volume to a safe level.
- Open this page and the Pretest in separate tabs. If you want fixed randomization, append
?seed=classA (any string works).
- Pair students for Think-Pair-Share moments.
Class Flow
- Pretest — Students answer the pretest individually. No hints, no labels.
- Concept Launch — Explain V2P vs S2P with the short paragraph above.
- Guided Listening: V2P — Play each V2P card: ask “What do you predict?” then reveal and discuss.
- Quick Check — Ask a cold-call or hands-up question: “If the line is twice as steep, what happens to the pitch span?”
- Guided Listening: S2P — Emphasize rate of change. For each, ask: “Where is it changing fastest?”
- Pair Practice — Students choose one V2P and one S2P clip to explain to a partner (why it sounds that way).
- Posttest — Students answer the posttest individually.
- Reflect — Quick debrief: “What clue helped you the most?”
Formative Prompts You Can Use Anytime
- “Point to the part of the graph that matches the highest note.”
- “Where does the note change most quickly? What does that tell us about the slope there?”
- “If we mirrored this graph vertically, how would the sound change?”
Common Misconceptions to Address
- S2P ≠ height. In S2P, a high note means “changing fast,” not “high y-value.”
- Direction is left → right. The first tone is the left end of the domain.
- Exponential/logistic values can rise while the S2P pitch falls at the end (because slope shrinks toward 0).