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Sec 1 · Scientific Representations

Models, Graphs & Scientific Data

Scientists use models to explain what cannot be directly seen, and graphs to reveal patterns in data. Knowing how to draw, read and evaluate these representations is tested in every exam paper.

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Scientific Models

What is a model?

A scientific model is a simplified representation of something in the real world. Models help us explain and predict behaviour, especially for things too small to see (like atoms) or too complex to describe fully.

Types of models used in Sec 1 Science

Particle model

Represents matter as tiny particles in different arrangements and motion to explain states of matter

Diagrams & drawings

Labelled diagrams of cells, apparatus, circuits — a type of visual model

Analogies

Comparing something unfamiliar to something familiar, e.g. a cell is like a factory

Graphs & tables

Mathematical models that show how two variables relate to each other

Classification systems

Grouping organisms by shared features — a conceptual model of diversity

Strengths and limitations of models

StrengthLimitation
Simplifies complex ideas so they are easier to understandMay leave out important details
Allows prediction of new outcomesCan create misconceptions if taken too literally
Provides a shared language for scientistsMay not work well outside the conditions it was designed for

Exam question type: "Suggest one limitation of this model." — always say what the model leaves out or oversimplifies.

The Particle Model

Key ideas

Particle model — three states compared

PropertySolidLiquidGas
ArrangementRegular, closely packedIrregular, close but not fixedRandom, very spread out
MotionVibrate in fixed positionsSlide past each otherMove freely and rapidly in all directions
Forces between particlesStrongModerateVery weak / negligible
VolumeFixedFixedFills container
ShapeFixedTakes shape of containerTakes shape of container

Using the model to explain observations

Always link the particle model to a macroscopic (what you can see) observation:

Example: "A gas can be compressed because the particles are far apart with large spaces between them, so the particles can be pushed closer together."

Example: "A solid cannot flow because the particles are fixed in position and cannot move past each other."

Drawing Graphs

Step-by-step graph checklist

  1. Choose the right graph type: Line graph for continuous data (e.g. temperature over time); bar chart for discrete/categorical data (e.g. number of birds per species).
  2. IV on the x-axis, DV on the y-axis.
  3. Label both axes — variable name and unit, e.g. "Time (minutes)".
  4. Choose an appropriate scale — use at least ½ of the available grid; use equal intervals.
  5. Plot points as small crosses (×) — not dots or circles.
  6. Draw the best-fit line or curve — smooth, does not need to pass through every point; ignore anomalous points.
  7. Give the graph a title: "[DV] vs [IV]" or "[DV] against [IV]".

⚠ Common mistakes:

Reading from a graph

Interpreting Tables & Data

Calculating the mean

Mean = Sum of all values ÷ Number of values. Always check for anomalous results before calculating — exclude them and note why.

Example: Readings of 12, 14, 13, 34, 12. The value 34 is anomalous. Mean of remaining values = (12 + 14 + 13 + 12) ÷ 4 = 12.75

Percentage change

Percentage change = [(new value − original value) ÷ original value] × 100%

A positive result is an increase; a negative result is a decrease. This lets you compare changes on a fair scale regardless of starting values.

Making predictions from data

Use the trend shown by a graph to predict values inside the range (interpolation) or beyond the range (extrapolation). Always state that extrapolation is less reliable because the trend may not continue.

Command Words

What the question is really asking

Command wordWhat it meansHow much to write
StateGive a fact with no explanation neededOne sentence
IdentifyName or select something from the information givenOne word or phrase
DefineGive the precise meaning of a termOne sentence
DescribeGive the key features or say what you observe — no explanation2–3 sentences
ExplainGive reasons — link cause to effect; use "because" or "so that"2–4 sentences
CompareSay how two things are similar AND different1 similarity + 1 difference minimum
SuggestGive a possible reason — you may need to apply knowledge to a new situation1–2 sentences
PredictSay what you expect to happen — justify it1–2 sentences with reason
EvaluateJudge the quality or reliability of something; give evidence and a conclusion3–5 sentences

⚠ Critical trap: If the question says "explain", a description alone gets zero marks for the explanation marks. You must say why something happens — link your answer using "because", "so", "this means that" or "therefore".

Practice Questions

Question 1 — Model evaluation

The particle model shows particles of a solid as small spheres packed in a regular grid. A student says this model is not completely accurate. Suggest one limitation of this representation.

▶ Show Answer

The model shows particles as identical, rigid spheres, but in reality, particles come in different sizes and shapes (e.g. different atoms and molecules). The model also shows them as stationary, whereas in reality, even particles in a solid are always vibrating.

Question 2 — Graph skills

A student records the temperature of water as it is heated from 20°C to 100°C over 10 minutes. She takes a reading every 2 minutes. Describe the steps she should follow to plot a line graph of her results.

▶ Show Answer
  1. Label the x-axis "Time (min)" with values 0, 2, 4, 6, 8, 10.
  2. Label the y-axis "Temperature (°C)" with an appropriate scale (e.g. 0–100).
  3. Plot each reading as a small cross (×) at the correct coordinates.
  4. Draw a smooth line or curve of best fit through the points.
  5. Add a title: "Temperature of water against time of heating".

Question 3 — Command words in action

Table shows mass of salt dissolved in 100 cm³ water at different temperatures: 20°C → 35 g, 40°C → 38 g, 60°C → 43 g, 80°C → 50 g.

  1. Describe the trend shown in the table.
  2. Predict the mass of salt that would dissolve at 100°C. Justify your answer.
  3. Explain why more salt dissolves at higher temperatures using the particle model.
▶ Show Answer
  1. Describe: As temperature increases from 20°C to 80°C, the mass of salt that dissolves increases from 35 g to 50 g.
  2. Predict: Approximately 57–60 g, because the trend shows roughly an increase of 5–7 g for every 20°C rise in temperature. However, this is an extrapolation so the actual value may differ if the trend changes.
  3. Explain: At higher temperatures, the water molecules have more kinetic energy and move faster. They collide with the salt particles more frequently and with more force, breaking the salt particles apart more quickly and allowing more to dissolve.

Must-Know Checklist

Before the exam, make sure you can: