Designing Controlled Experiments: The Mystery Powder Investigation
120 min · SC.912.N.1.1
Objective
Students will design and conduct a controlled experiment to identify an unknown white powder, correctly distinguishing independent, dependent, and controlled variables, and evaluating sources of error to draw evidence-based conclusions.
Hook
8 minProject on the screen: a news headline reading 'Mystery White Powder Found in School Mailroom — Building Evacuated.' Below it, show four candidate identifications a first-responder hazmat team might consider: baking soda (NaHCO₃), powdered sugar (C₁₂H₂₂O₁₁), cornstarch, and table salt (NaCl). Ask students: 'You have 20 minutes, a few drops of iodine, some vinegar, and a flame. How would you decide which one it is — and how would you convince a court your answer is correct?' Give 2 minutes of silent think-time, then 3 minutes of pair-share. Cold-call 3 pairs. Listen for the seeds of: testing one variable at a time, needing a known sample to compare against, and recording what you see vs. what you conclude. Transition: 'Today you become the analyst. By the end of the block you'll defend an identification with data — the same way real forensic chemists do.'
Direct instruction
- 8m
Science is iterative, not a 7-step recipe
Draw on the board: two diagrams side by side. LEFT — a vertical numbered list 1)Question 2)Hypothesis 3)Experiment 4)Data 5)Conclusion, with a big red X through it. RIGHT — a messy cycle with arrows looping back: Observation ⇄ Question ⇄ Hypothesis ⇄ Test ⇄ Revise. Tell students: 'The textbook 7-step method is a lie of convenience. Real chemists revise their hypothesis mid-experiment, throw out bad data, redesign on the fly.' Give the example of Fleming and penicillin (contaminated petri dish → new hypothesis). Stress: a hypothesis is a testable IF/THEN/BECAUSE statement, NOT a guess. Write the frame on the board: 'IF [I do X to the IV], THEN [the DV will do Y], BECAUSE [prior knowledge].' Have students copy the frame. Quick check: ask one student to convert 'I think baking soda will react with vinegar' into proper hypothesis form. Expected: 'IF NaHCO₃ is mixed with CH₃COOH, THEN bubbles of CO₂ will form, BECAUSE acids react with carbonates to release carbon dioxide.'
- 9m
Variables and the controlled experiment
Project on the screen: the variables-table template with three columns labeled Independent / Dependent / Controlled, and rows 'What it is' and 'How it's measured (units).' Fill in a worked example LIVE using the powder lab: IV = identity of powder (categorical, four levels); DV1 = does it fizz with HCl? (qualitative, yes/no + vigor); DV2 = does it turn blue-black with iodine? (qualitative); Controlled = mass of powder (0.50 g ± 0.01), volume of reagent (2.0 mL), temperature (room ~22 °C), same spatula technique. Then draw on the board the side-by-side diagram of a control vs experimental setup: two test tubes, the LEFT labeled 'control: 2.0 mL HCl + no powder' and the RIGHT labeled 'experimental: 2.0 mL HCl + 0.50 g unknown,' with the powder addition circled in red as the single varied factor. Ask: 'Why do we even need the control tube?' Expected answer: to confirm that any bubbles we see actually come from the powder, not from the HCl outgassing. Emphasize the honors-level point: more replicates do not fix a bad design. A 30-trial experiment with confounded variables is still worthless.
- 8m
Data, error, and honest conclusions
Project on the screen: a sample data table with 5 trials of 'time for sugar to dissolve (s) at three temperatures (10, 25, 50 °C),' followed by the same data plotted as a scatter graph (x-axis: Temperature (°C), y-axis: Dissolve time (s), points trending downward, error bars visible). Walk through: qualitative data go in the observations column ('clear solution, no residue'), quantitative go in the numeric column with units. Then ask: 'What are three SPECIFIC sources of error here?' Push back hard if anyone says 'human error' — that's not specific. Expected good answers: stopwatch reaction time (~0.2 s), inconsistent stirring rate, thermometer calibration, evaporation during long trials at 50 °C. Finally, model two conclusion statements on the board: WEAK — 'The experiment worked.' STRONG — 'Dissolve time decreased from 142 s at 10 °C to 38 s at 50 °C, supporting the hypothesis that increased temperature increases dissolution rate; however, the n=5 spread at 50 °C (±6 s) suggests stirring was not perfectly controlled.' Drive home: data that disconfirm a hypothesis are NOT a failed experiment. They are a successful experiment with a wrong prediction.
Activities
- 55m
Mystery Powder Identification LabLab
Setup (5 min): Each group of 3 gets a tray with 4 labeled known powders, 1 unknown, dropper bottles of 0.1 M HCl and iodine, a 12-well plate, and SEPARATE spatulas for each powder. Project on the screen: the variables-table template (blank) and the control-vs-experimental diagram from direct instruction. Phase 1 — Design (15 min): Groups must complete the variables table BEFORE touching any chemicals. They write a hypothesis in IF/THEN/BECAUSE form, identify IV (powder identity), DV (reaction observations), and list at least 4 controlled variables with specific values (e.g., 0.20 g powder, 5 drops reagent, room temp). They sketch the well-plate layout: rows = the 4 knowns + unknown + a water-only control row; columns = HCl test, iodine test, water-only test. Walk around and check: are they writing a real hypothesis or a guess? Are they specifying MASSES and DROP COUNTS, not 'a little'? Stop the class if 2+ groups skipped the control row — this is a teachable moment. Phase 2 — Execute (20 min): Students mass 0.20 g of each powder into the well plate using the dedicated spatula (cross-contamination = a source of error they must catch). Add 5 drops of HCl to the HCl column, observe and record qualitative + quantitative data (fizz: none/slight/vigorous; count bubbles per 10 s if possible). Repeat with iodine. Walk around and check: notebooks should have a clear observation column AND a separate inference column. Phase 3 — Analyze and conclude (15 min): Groups build an identification key from their known data (e.g., NaHCO₃ → fizzes with HCl, no color change with I₂; cornstarch → no fizz, blue-black with I₂; sugar → no fizz, no I₂ color; NaCl → no fizz, no I₂ color, distinguished from sugar by taste — but we DON'T taste in lab, so they must propose a flame test or solubility distinction). Groups write a conclusion paragraph: claim, evidence (specific data), reasoning, and at least 2 specific sources of error. Each group submits one identification with confidence rationale. Closing the activity: Reveal the true identities. Discuss any groups whose data didn't support their final claim — celebrate the ones who said 'inconclusive between sugar and salt' rather than guessing.
Materials
- 4 labeled known powders: NaHCO₃, NaCl, C₁₂H₂₂O₁₁ (table sugar), cornstarch — 5 g each per group
- 1 unknown powder per group (instructor pre-labels A, B, C, or D — secretly one of the four knowns)
- 0.1 M HCl in dropper bottles
- Lugol's iodine solution in dropper bottles
- Distilled water
- Well plates (12-well) or small test tubes in racks
- Plastic spatulas (one per powder to avoid cross-contamination)
- Electronic balance (±0.01 g)
- 10 mL graduated cylinders
- Wash bottles, paper towels
- Lab notebook / data table handout
- Safety goggles, aprons
Example outputs
- Sample hypothesis (group A): 'IF the unknown is NaHCO₃, THEN it will produce visible CO₂ bubbles within 5 s of adding 5 drops of 0.1 M HCl AND show no color change with iodine, BECAUSE carbonates react with acids to release CO₂ and only starches form the blue-black iodine complex.'
- Sample data row: Unknown D + 5 drops HCl → vigorous fizz, ~40 bubbles in 10 s, gas evolved; Unknown D + 5 drops I₂ → remained yellow-brown (no blue-black). Inference: matches NaHCO₃ profile, not cornstarch.
- Sample conclusion: 'Unknown C is identified as cornstarch. Evidence: it produced no bubbles with HCl (matching sugar, salt, and cornstarch knowns) but turned deep blue-black with iodine within 2 s (matching only the cornstarch known). Sources of error: (1) shared spatula in trial 2 may have transferred trace NaHCO₃ to the cornstarch well, possibly explaining the very faint fizz observed; (2) iodine dropper count varied between 4 and 6 drops across trials.'
- 20m
Protocol Critique: Spot the Flaw
Distribute the handout. Project on the screen: the variables-table template that students will fill in for this fictional study. The flawed protocol (read aloud first): 'A student wants to know if caffeine affects heart rate. On Monday morning at 7 AM she drinks one cup of coffee and measures her pulse: 88 bpm. On Wednesday evening at 9 PM after dinner she drinks decaf and measures: 72 bpm. She concludes caffeine raises heart rate by 16 bpm.' In pairs (10 min): students must (1) identify IV, DV, and at least 4 confounding variables that should have been controlled; (2) flag at least 3 specific design flaws — not 'bad experiment'; (3) propose a redesigned protocol fixing each flaw. Walk around and check: are they catching time-of-day, post-meal vs. fasted, n=1, no replicate, no blinding, coffee vs. decaf differs in more than caffeine (oils, acidity), no baseline pulse measurement? Debrief (10 min): cold-call 4 pairs, one flaw each, write each on the board. Then have one volunteer pair read their redesigned protocol. Push: 'Would 100 trials of THIS design fix the problem?' Expected answer: NO — confounded design with more n is still confounded. Reinforces the misconception target.
Materials
- Printed flawed protocol handout (1 per pair)
- Highlighters
- Variables-table template (printed)
Example outputs
- Flaws identified: (1) n=1 subject, one trial each — no replication; (2) different time of day (morning cortisol vs. evening) confounds the IV; (3) post-meal state differs between trials, affecting baseline HR; (4) coffee and decaf differ in more than caffeine — acidity, oils, even temperature of the cup; (5) no baseline pulse taken before drinking; (6) no blinding — expectation effect.
- Redesigned protocol: 'Recruit 20 subjects. Each subject completes BOTH conditions on different days at the same time of day, fasted for 2 hours. Randomly assign order. Measure baseline pulse (avg of 3 readings), administer 200 mg caffeine OR placebo capsule (subjects blinded), wait 45 min, measure pulse again. Compare ΔHR (caffeine) vs. ΔHR (placebo) using paired t-test. Controlled variables: time of day, fasted state, posture during measurement, ambient temperature, capsule appearance.'
Formative assessment
12 minA chemistry student tests how the surface area of CaCO₃ affects its reaction rate with HCl. She uses 5.0 g of powdered CaCO₃ in trial 1 and 5.0 g of CaCO₃ chips in trial 2, both with 25 mL of 1.0 M HCl at 22 °C, and times how long until bubbling stops. a) Identify the independent variable, dependent variable, and TWO controlled variables. b) Why is the temperature listed as 22 °C in both trials important?
short answera) IV = surface area / form of CaCO₃ (powder vs. chips). DV = time until bubbling stops (seconds). Controlled variables: mass of CaCO₃ (5.0 g), volume of HCl (25 mL), concentration of HCl (1.0 M), temperature (22 °C) — any two. b) Reaction rate depends strongly on temperature; if one trial were warmer, we couldn't tell whether faster bubbling was caused by surface area or by temperature — temperature would be a confounding variable, ruining the controlled-experiment design.A student's hypothesis is 'increasing the concentration of HCl will increase the rate of Mg ribbon dissolving.' His data show NO change in dissolving time across 0.5 M, 1.0 M, and 1.5 M HCl. He writes: 'My experiment failed because the data didn't match my hypothesis.' What is wrong with his statement, and what should the conclusion say instead?
short answerHis statement reflects the misconception that disconfirming data = failed experiment. Data that don't support a hypothesis are still valid scientific results. A correct conclusion: 'The data do not support the hypothesis; dissolving time was approximately constant across the three HCl concentrations tested. This suggests that within the 0.5–1.5 M range, concentration is not the rate-limiting factor — possibly the surface area of Mg ribbon or H₂ gas accumulation around the ribbon limited the rate. The experiment was successful in producing a clear, reproducible negative result.' Should also flag specific sources of error (e.g., variable Mg ribbon length, bubble shielding) before re-designing.Which of the following is the BEST example of a controlled variable in an experiment testing whether stirring rate affects how fast NaCl dissolves in water?
multiple choiceCorrect answer: C. A) The stirring rate (50, 100, 150 rpm) — this is the INDEPENDENT variable. B) The time for the NaCl to fully dissolve — this is the DEPENDENT variable. C) The mass of NaCl (5.00 g) and volume of water (100.0 mL at 22 °C) used in every trial — CORRECT, these are held constant across trials. D) Whether the salt dissolved completely — this is an observation/outcome, not a controlled variable.A student concludes 'human error caused our results to be off.' Rewrite this as TWO specific sources of error a chemistry teacher would accept, for an experiment measuring the volume of CO₂ gas produced when 0.50 g of NaHCO₃ reacts with 10 mL of vinegar in a balloon-on-flask setup.
short answerAcceptable specific sources of error include any two of: (1) gas leakage at the balloon-flask seal, lowering measured volume; (2) balloon elasticity resists expansion, so measured volume underestimates true CO₂ produced; (3) residual NaHCO₃ stuck to the weighing paper, so less than 0.50 g actually entered the flask; (4) graduated cylinder reading parallax error of ~0.2 mL on the vinegar volume; (5) reaction not complete when measurement was taken; (6) ambient temperature/pressure not recorded, affecting gas volume per PV=nRT. 'Human error' is rejected because it's not specific or actionable.
Vocabulary
- hypothesis
- A testable, falsifiable prediction grounded in prior knowledge — not a wild guess. Example: 'If the powder is NaHCO₃, then it will fizz when 1 M HCl is added because carbonates release CO₂.'
- independent variable
- The single factor the experimenter deliberately changes (e.g., the identity of the powder being tested, or the concentration of HCl added).
- dependent variable
- The measured response that changes because of the independent variable (e.g., volume of gas produced in mL, or time to dissolve in seconds).
- controlled variable
- A factor held constant across all trials so it cannot bias results (e.g., 0.50 g of powder, 5.0 mL of reagent, 22 °C room temperature).
- control group
- A reference trial run without the experimental treatment, used as a baseline (e.g., adding HCl to distilled water with no powder to confirm bubbles aren't from the acid alone).
- qualitative data
- Descriptive, non-numeric observations (e.g., 'turned bright yellow,' 'released a sharp odor,' 'fizzed vigorously').
- quantitative data
- Numeric measurements with units (e.g., 4.2 mL of gas in 30 s, mass change of 0.18 g, pH = 9.4).
- observation vs inference
- Observation: what the senses or instruments record ('the solution turned blue'). Inference: the interpretation ('therefore starch is present'). Honors students must keep these separated in lab notebooks.
- conclusion
- An evidence-based claim that explicitly references the data and addresses the hypothesis — including whether the data support, refute, or are inconclusive about it.
- source of error
- A specific, identifiable factor that could bias results — NOT 'human error.' Examples: balance not tared, cross-contaminated spatula, evaporation during 10-min wait, parallax in graduated cylinder.
Common misconceptions
- 'The scientific method is a fixed 7-step list.' Real chemistry research is iterative — Fleming's penicillin discovery, Goodyear's vulcanized rubber, and even the dye Mauveine all came from revising hypotheses mid-experiment or interpreting 'failed' results. Today's lab will let students revise their identification key after seeing initial data.
- 'A hypothesis is just a guess.' A scientific hypothesis is a testable, falsifiable IF/THEN/BECAUSE prediction grounded in prior knowledge. 'I think the powder is sugar' is a guess; 'IF the powder is sugar, THEN it will not produce bubbles with HCl AND will not turn blue-black with iodine, BECAUSE sugar is neither a carbonate nor a starch' is a hypothesis.
- 'My data didn't match my hypothesis, so the experiment failed.' Disconfirming data are valid, often more informative than confirming data. The Michelson-Morley experiment failed to detect the ether — and that 'failure' rewrote physics. Students must learn to write conclusions that say 'the data do not support the hypothesis' without treating it as a personal failure.
- 'More trials always make an experiment better.' Quality of design dominates n. A confounded experiment with 100 trials is still confounded. The caffeine protocol critique drives this home: doing the morning-coffee-vs-evening-decaf comparison 100 times still tells you nothing about caffeine because time-of-day is confounded with the IV.
- 'Human error' is a source of error. It is not — it's a non-answer. Specific, identifiable, and ideally quantifiable error sources are required: parallax in graduated cylinder readings (±0.2 mL), balloon elasticity, cross-contamination from a shared spatula, evaporation during a 10-minute wait.
Materials checklist
- NaHCO₃, NaCl, table sugar (C₁₂H₂₂O₁₁), cornstarch — ~5 g per group of each
- Unknown powders (pre-labeled A/B/C/D, each secretly one of the four knowns)
- 0.1 M HCl in dropper bottles
- Lugol's iodine solution in dropper bottles
- Distilled water and wash bottles
- 12-well plates (1 per group) or small test tube racks
- Plastic spatulas — one dedicated per powder
- Electronic balance accurate to ±0.01 g
- 10 mL graduated cylinders
- Safety goggles and aprons for every student
- Lab notebooks or pre-printed data table handouts
- Variables-table template handout (blank)
- Flawed protocol handout (caffeine experiment)
- Highlighters and pens
- Whiteboard and markers for live diagrams