Density Is One Clue
Calculate density from supplied measurements and avoid treating a matching value as a unique ID.
- Grade 7
- 50 minutes
- Worksheet + teacher guidance
What you will learn
Density is mass divided by volume. A volume measured by water displacement is the change in level, not the final reading. Several materials can share similar densities.
Words to use
- density: mass per unit volume
- displacement: change in water volume
- precision: detail of a measurement
Evidence for this lesson
Illustrative measurements: A—mass 27.0 g, cylinder 50.0 to 60.0 mL. B—mass 40.5 g, cylinder 50.0 to 65.0 mL. Assume no trapped air, dissolution or absorption for the calculation.
Use the supplied record as written; do not invent missing results.Work through the activity
- 10 min · Find volumeSubtract initial from final cylinder readings for samples A and B. Recall that 1 mL of displaced volume equals 1 cubic centimeter.
- 15 min · CalculateDivide each mass by its displacement volume. Include units and keep rounding consistent with the supplied readings.
- 15 min · InterpretCompare the densities. Explain why different masses do not automatically mean different materials and why similar density does not prove identical composition.
- 10 min · Evaluate errorsDiscuss trapped air, water absorption and reading error as possible issues in real tests. Propose another independent property to compare.

Density Is One Clue
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Teacher & family guide · answers and assessment
Grade 7 · Density Is One Clue
Learning goal: Calculate density from supplied measurements and avoid treating a matching value as a unique ID.
Expected responses
- A: 60−50 = 10 mL; B: 65−50 = 15 mL.
- A: 27/10 = 2.7 g/cm³; B: 40.5/15 = 2.7 g/cm³.
- No. Equal density alone does not uniquely determine composition.
- Trapped air, absorption or reading error can affect volume; luster, hardness or cleavage adds evidence.
Understanding check: 10 mL. The sample changes the water reading by 10 mL; the entire final volume is not its volume.
Watch for this misconception
Use displaced volume rather than the final cylinder reading; density is one property, not a unique name.
Assess the evidence
Look for the observations, calculation or explanation named in the learning goal. Accept accurate drawings and dictated responses. Use the expected responses to discuss reasoning; a correct guess without explanation is a starting point for another conversation.
Adapt and extend
Read prompts aloud, enlarge print or let a partner record the learner’s explanation. Recalculate A if volume were misread as 9 mL and explain the effect.