How do chemists design investigations, handle measurement and uncertainty, and report quantities so that results are reliable and comparable?
Plan and carry out chemistry investigations, distinguish independent, dependent and controlled variables, and report measurements using significant figures, units and dimensional analysis (MA STE practices).
A standard-level answer on chemistry investigation and measurement for Massachusetts high school chemistry: variables and controls, accuracy versus precision, significant figures, SI units, and dimensional analysis, all framed by the STE science and engineering practices.
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What this topic is asking
The Massachusetts STE framework is built on the same eight science and engineering practices as the NGSS, so a Massachusetts chemistry course is not only a set of facts but a way of working. Before you can succeed at moles, gas laws, or titrations, you need to plan an investigation, identify and control variables, take measurements that carry the right number of significant figures, and convert between units with dimensional analysis. These skills are woven through every later topic, and good chemistry assessments test them in the context of real data rather than in isolation.
Variables and a fair test
If a student investigates how temperature affects reaction rate, the temperature is the independent variable, the rate (or time) is the dependent variable, and the concentration, volume, and amount of each substance are controlled. Leaving more than one variable free to change means you cannot tell which one caused the result, so the conclusion is not valid. A control group (a set-up with no treatment) gives a baseline for comparison.
Accuracy and precision
These two words are often confused but mean different things. Accuracy is how close a measurement is to the true or accepted value. Precision is how close repeated measurements are to one another, regardless of the true value. A balance that always reads 12.40 g when the true mass is 12.41 g is precise (reproducible) and nearly accurate. A balance that gives 11.8 g, 12.6 g, and 12.2 g for the same object is neither precise nor reliable. You want both, but they are independent: a reading can be precise yet inaccurate if the instrument is wrongly calibrated, which produces a consistent systematic error. Random error scatters readings around the true value and is reduced by repeating and averaging.
Significant figures
Significant figures show how precisely a quantity is known. The rules you need are:
- All non-zero digits are significant (45.2 has three).
- Zeros between non-zero digits are significant (4002 has four).
- Leading zeros are not significant (0.0034 has two).
- Trailing zeros after a decimal point are significant (12.40 has four).
When you multiply or divide, the answer carries the same number of significant figures as the measurement with the fewest. When you add or subtract, the answer is rounded to the fewest decimal places. The point is honesty: an answer cannot be more precise than the data it came from, so writing 12.41672 g from a balance that reads to 0.01 g is wrong.
SI units and dimensional analysis
Chemistry uses the SI base units: the meter (length), kilogram (mass), second (time), kelvin (temperature), and mole (amount of substance). Volume is usually the liter or milliliter, and density combines mass and volume. Dimensional analysis (the factor-label method) converts between units by multiplying by fractions equal to one, arranged so the unwanted unit cancels.
Reading data the way the framework expects
Because the STE framework is practice-based, a question is far more likely to give you a data table or a graph than to ask for a bare definition. Practice identifying the variables in someone else's experiment, spotting the control, judging whether a result is reliable, and reading a value off a graph with the correct units. When you evaluate an investigation, look for uncontrolled variables, too few trials, or a measuring instrument that is not precise enough for the job.
Try this
Q1. A student changes the concentration of acid and measures the volume of gas produced. Name the independent and dependent variables. [2]
- Cue. Independent: acid concentration. Dependent: volume of gas produced.
Q2. How many significant figures are in ? [1]
- Cue. Three (the leading zeros do not count; the trailing zero after the decimal does).
Exam-style practice questions
Practice questions written in the style of MA DESE exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.
MA Chemistry (style)3 marksA student measures how the temperature of water changes the time taken for a tablet to dissolve. (a) Identify the independent and dependent variables. (b) State one variable that must be controlled. (c) Explain why repeating each trial improves the investigation.Show worked answer →
A 3-point item on experimental design, a core science and engineering practice.
(a) 1 point: the independent variable (the one deliberately changed) is the water temperature; the dependent variable (the one measured) is the time to dissolve. Award the point only for naming both correctly.
(b) 1 point: any sensible controlled variable, for example the volume of water, the mass or size of the tablet, or the same stirring. Controlled variables are held constant so they do not affect the result.
(c) 1 point: repeating each trial and averaging reduces the effect of random error and lets the student spot anomalous results, making the data more reliable.
MA Chemistry (style)2 marksA balance reads a sample as g. (a) State the number of significant figures. (b) The sample's true mass is known to be g. The balance gives g every time. Is the balance accurate, precise, or both? Explain.Show worked answer →
A 2-point item on significant figures and the accuracy versus precision distinction.
(a) 1 point: g has 4 significant figures (the trailing zero after the decimal point counts).
(b) 1 point: the balance is precise (it gives the same reading every time, so it is reproducible) and close to accurate (the reading g is very near the true g). Markers reward the idea that precision is reproducibility while accuracy is closeness to the true value, and that the two are different.
Related dot points
- Describe the structure of the atom in terms of protons, neutrons, and electrons, and explain how atomic number and mass number define an element and its isotopes (MA STE HS-PS1-1, atomic structure).
A standard-level answer on atomic structure for Massachusetts high school chemistry: the proton, neutron, and electron, how atomic number and mass number define an element, isotopes and ions, and where the subatomic particles sit, grounded in HS-PS1-1.
- Calculate average atomic mass from isotope abundances, and explain the mole and Avogadro's number as the bridge between numbers of particles and grams (MA STE HS-PS1-7 support, the mole).
A standard-level answer on average atomic mass and the mole for Massachusetts high school chemistry: weighted average atomic mass from isotope abundances, Avogadro's number, and the mole as the link between particle count and mass, supporting HS-PS1-7.
- Use the periodic table as a model: relate group and period to electron arrangement, and predict trends in atomic radius, ionization energy, electronegativity, and reactivity (MA STE HS-PS1-1, periodic trends).
A standard-level answer on the periodic table for Massachusetts high school chemistry: how groups and periods reflect electron arrangement, the metals, nonmetals, and metalloids, and the trends in atomic radius, ionization energy, electronegativity, and reactivity, grounded in HS-PS1-1.
- Use mole ratios from a balanced equation to calculate the amounts of reactants and products in mole-to-mole and mass-to-mass problems (MA STE HS-PS1-7(MA), proportional reasoning in reactions).
A standard-level answer on stoichiometric calculations for Massachusetts high school chemistry: reading mole ratios from a balanced equation and using them for mole-to-mole and mass-to-mass calculations through the mole-ratio bridge, grounded in HS-PS1-7(MA).
- State and apply Boyle's law, Charles's law, Gay-Lussac's law, and the combined gas law to calculate changes in the pressure, volume, and temperature of a gas (MA STE supporting content, behavior of gases).
A standard-level answer on the gas laws for Massachusetts high school chemistry: Boyle's law, Charles's law, and Gay-Lussac's law as relationships between pressure, volume, and temperature, the combined gas law, and the need to use Kelvin temperature, grounded in the framework's gas content.
Sources & how we know this
- Massachusetts Science and Technology/Engineering Curriculum Framework (2016) — Massachusetts Department of Elementary and Secondary Education (2016)
- Science and Technology/Engineering (STE) Test Design and Development — Massachusetts Department of Elementary and Secondary Education (2024)