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ScienceGrade 12· U.S. National — Common Core & NGSS
Aligned to:Next Generation Science Standards (NGSS)

Scientific Inquiry: Designing and Evaluating Valid Investigations

Students apply an iterative scientific method to formulate testable hypotheses, design controlled investigations, analyze uncertainty and statistical evidence, and revise conclusions in response to findings.

Scientific Inquiry: Designing and Evaluating Valid Investigations

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Scientific Inquiry as an Iterative Process

Scientific inquiry is an iterative process rather than a fixed sequence completed once. Researchers observe a pattern, ask a question, propose a hypothesis, design and conduct an investigation, analyze data, and communicate a conclusion. Unexpected results, limitations, or peer criticism may send them back to an earlier step. For example, students testing water-filter materials might first compare equal masses of sand, gravel, and activated carbon by measuring water turbidity after filtration. If carbon reduces turbidity but slows flow below the required rate, the students can revise the design by changing layer thicknesses. They then test the revised filter using prioritized criteria such as clarity and flow rate, while considering constraints such as cost and filter size. Recording every procedural change allows each version to be evaluated fairly and improved using evidence.

Testable Questions and Falsifiable Hypotheses

A testable scientific question identifies quantities or categories that can be observed or measured. A hypothesis gives a proposed answer and must be falsifiable, meaning that possible evidence could show it is incorrect. “Does fertilizer concentration affect radish growth over 21 days?” is testable because concentration, time, and growth can be defined. A useful hypothesis is: “If fertilizer concentration increases from 0 to 2 grams per liter, then mean radish dry mass after 21 days will increase.” Students could test several concentrations and compare group means. They should also state a null hypothesis: fertilizer concentration has no association with mean dry mass. The claim “fertilizer always makes plants healthier” is too vague because “healthier” is undefined and “always” ignores conditions. Operational definitions, measurable outcomes, and predicted relationships make a hypothesis suitable for investigation.

Variables, Controls, and Reproducibility

A controlled investigation changes the independent variable and measures its effect on the dependent variable while holding relevant conditions constant. In the radish study, fertilizer concentration is the independent variable, and dry mass is the dependent variable. Light exposure, soil type, water volume, pot size, temperature, seed variety, and growth time should be controlled. A zero-fertilizer group provides a comparison baseline. Randomly assigning similar seedlings to treatments reduces systematic differences, and using many plants in each group reveals natural variation better than testing one plant. Replication means applying each treatment to multiple independent experimental units, not repeatedly measuring the same plant. Reproducibility requires a precise procedure, calibrated instruments, recorded materials, units, sample sizes, and analysis steps so another group can repeat the work. Special cases, such as a germination failure or spilled sample, must be documented rather than quietly removed.

Data Analysis, Uncertainty, and Bias

Data analysis should describe both the observed pattern and its uncertainty. For each fertilizer group, students can calculate the mean dry mass, standard deviation, and a confidence interval for the population mean. A narrow interval indicates greater precision than a wide interval, although it does not prove that the hypothesis is true. Students may use an appropriate significance test to judge whether an observed difference would be unusual under the null hypothesis, reporting the test, sample size, effect size, and p-value. Statistical significance should be considered alongside practical importance. For example, a 0.05-gram increase may be statistically detectable but too small to justify fertilizer costs. Error bars, unusual values, and overlapping distributions must be examined. Random error increases variability; systematic error, such as a miscalibrated balance, creates bias. Blinding measurements and randomizing pot positions can reduce observer and location bias.

Evidence-Based Conclusions and Revision

A strong conclusion makes a precise claim, supports it with relevant evidence, and explains the reasoning that connects the evidence to the claim. Suppose radishes receiving 1 gram per liter of fertilizer had a higher mean dry mass than controls, but 2 grams per liter produced no additional growth and increased leaf damage. Students should conclude that the evidence supports an optimum within the tested range, not that more fertilizer always improves growth. They should compare their findings with credible reports, evaluate whether those reports used similar species and conditions, and acknowledge conflicting evidence. Limitations might include a small sample, a short growth period, or uncontrolled humidity. The conclusion should distinguish correlation from causation and avoid extending beyond the tested population. A revised investigation could test concentrations between 0.75 and 1.25 grams per liter, increase replication, and measure soil nutrients, refining both the hypothesis and the recommended solution.