Types of Models in Science
Every weather forecast you have ever seen, every model heart in a science classroom, and every equation like speed equals distance over time is a model, a simplified stand-in that helps us understand a world too big and too complex to study all at once.
Printable Worksheets
Print or save as PDF, or build a custom worksheet from any module's questions.
A teacher hands you a plastic model of the heart, then shows you a diagram of the water cycle, then writes the equation speed equals distance divided by time on the board. She says all three are models.
How can a solid plastic object, a labelled diagram and a maths equation all count as the same kind of thing? What do they have in common?
The real world is huge, fast and complicated. You cannot fit the solar system on your desk, you cannot see a single atom, and you cannot run an entire river system through a classroom tap. So scientists build models. A model is a simplified representation of a real object, system or idea that helps us understand, explain or predict how it behaves. The key word is simplified. A good model leaves out detail on purpose so that the important parts stand out clearly.
Think about a road map. A real city has millions of bricks, trees and people, but a map shows only the roads and the names you need to find your way. Leaving out the bricks is not a mistake, it is the whole point. A model that included everything would be just as confusing as the real thing. Scientists choose what to keep and what to drop based on the question they are trying to answer.
Models come in three main families. Physical models are objects you can touch. Conceptual models, sometimes called diagram models, are pictures or descriptions of how something works. Mathematical models are equations, formulas or graphs that describe relationships using numbers. Over the next cards you will meet all three and learn what each one does best.
A globe is a model of Earth. It shows the shape, the continents and the position of the oceans, but it leaves out individual mountains, rivers and cities at their true size. That is fine if your question is "where is Australia compared with Africa", but useless if your question is "how steep is this hill".
Questacon, the national science centre in Canberra, is full of physical models that let visitors touch ideas they could never touch in real life, a giant model atom, a model earthquake table and a model tornado. The models are not the real things, but they make invisible or dangerous science safe to explore.
Some students think a model is just a toy or a cheaper copy of the real thing. It is much more than that. A model is a thinking tool. Its job is not to look like reality, it is to help you understand and predict reality.
Know
- A model is a simplified representation that helps us understand, explain or predict.
- The three main types of models are physical, conceptual and mathematical.
Understand
- Different types of models suit different purposes and questions.
- Every model has limitations because it leaves out some detail.
Can Do
- Classify an example as a physical, conceptual or mathematical model.
- Describe one strength and one limitation of a given model.
Wrong: A model has to look exactly like the real thing to be useful.
Right: A model only needs to capture the parts that matter for the question. An equation looks nothing like a falling ball, yet it models its motion perfectly.
Wrong: Only solid objects you can hold count as models.
Right: Diagrams and equations are models too. The particle model of matter and the formula for speed are just as valid as a plastic skeleton.
Wrong: If a model leaves something out, it is a bad model.
Right: Leaving detail out is what makes a model useful. The skill is knowing what to leave out and remembering its limitations.
Wrong: A model proves that an idea is completely correct.
Right: A model can support and test ideas, but because it simplifies, it can be incomplete or wrong. Scientists keep checking models against new evidence.
Scientists group models into three families based on what they are made of.
Physical models are objects you can touch and turn around in your hands. A model of the solar system, a globe, a plastic DNA double helix, a model heart and a scale model of a river catchment are all physical models. They can be larger than reality, like a giant model atom, or smaller than reality, like a model of the planets. The scale tells you the ratio between the model and the real thing.
Conceptual models, also called diagram models, show how something works using pictures, labels or descriptions rather than a solid object. The particle model of matter, the water cycle diagram, a food web, the Bohr model of the atom and a circuit diagram are all conceptual models. They are perfect for showing relationships, flows and processes that you cannot easily hold.
Mathematical models use numbers, equations and graphs to describe how quantities are related. Speed equals distance divided by time is a mathematical model of how fast something moves. Equations that describe how a population of animals grows, or how force changes the acceleration of an object, are also mathematical models. Their great strength is that they let you calculate and predict exact values.
To study the human heart, a doctor might use all three. A plastic model heart to show its chambers (physical), a flow diagram of how blood moves through it (conceptual), and an equation linking heart rate and blood pumped per minute (mathematical). Each model answers a different question about the same organ.
CSIRO scientists study the Murray-Darling Basin using all three types. They build physical scale models of river channels, draw conceptual diagrams of how water flows between rivers and wetlands, and run mathematical models that predict how much water will reach farms and towns under different rainfall.
A single object can be described by more than one type of model. The atom has a physical model (a ball-and-stick kit), a conceptual model (the Bohr diagram) and mathematical models (equations for electron energy). Asking which type a model is means asking what it is made of, not what it represents.
Put these steps in the order a scientist would follow when building and using a model.
- Test the model's predictions against real measurements.
- Note the model's limitations and improve it if needed.
- Build the model, leaving out detail that does not matter.
- Decide what real thing you want to understand.
- Choose the type of model that best suits the question.
Models are not built for fun. Each one does a real scientific job, and most models do at least one of three things.
First, models explain. They make abstract or invisible ideas visible. You cannot see an atom, but the Bohr diagram lets you picture electrons orbiting a nucleus so you can reason about how chemicals react. A globe explains why Australia has different seasons from Europe far better than any sentence could.
Second, models predict. They let you ask "what happens if". A mathematical model of population growth can predict how many fish will be in a bay next year. The Bureau of Meteorology runs huge computer models of the atmosphere to predict tomorrow's weather. If the prediction comes true, that builds confidence that the model captures something real.
Third, models let scientists test ideas safely and cheaply. Engineers test a scale model of a bridge in a wind tunnel before building the real one. Crash-test models reveal how a car behaves in a collision without risking a real driver. Testing the model is far safer, faster and cheaper than testing reality.
Before the Sydney Harbour Bridge was built, engineers used scale models and mathematical calculations to predict whether the steel arch could carry the load. Testing a small model first meant they could find and fix problems without risking the full-sized structure.
The Bureau of Meteorology turns billions of measurements into conceptual weather maps and mathematical computer models. These models predict cyclones, heatwaves and floods days in advance, giving Australian communities time to prepare. A model that predicts danger correctly can save lives.
A prediction from a model is not a guarantee. If the model leaves out something important, the prediction can be wrong. That is why a wrong prediction is useful, it tells scientists the model needs improving.
You want to show younger students how blood flows through the heart and what direction the valves open. Which type of model would work best, a plastic physical model or a mathematical equation?
A physical model works best here. Students can hold it, see the chambers in three dimensions and watch how the valves open in one direction. A mathematical equation could describe heart rate, but it cannot show the shape or the flow path that the question asks about.
Use these terms in your explanation: physical model · purpose · limitation
Here is the most important idea in this lesson, a model is never the real thing. Because every model simplifies, every model has limitations. A good scientist knows exactly where a model stops being trustworthy.
A globe shows the shape of Earth and the position of continents, but it cannot show the real height of mountains or the detail of a single beach. The particle model helps you picture solids, liquids and gases as tiny moving balls, but atoms are not really hard coloured spheres, that picture breaks down when you study them closely. A mathematical model of population growth assumes there is always enough food, so it fails when food runs out.
None of this makes models useless. It means you must always ask two questions, what does this model get right, and where does it stop matching reality. Knowing a model's limits is what separates careful science from blind trust. When a model and reality disagree, scientists do not throw out reality, they improve the model.
The Bohr model draws electrons circling the nucleus like planets around the Sun. It is great for explaining why elements react, but it is wrong about how electrons actually move. Scientists still teach it because its strengths are useful, as long as you remember its limitation.
When CSIRO models the Murray-Darling Basin, scientists publish the limitations alongside the predictions. They state clearly what the model assumes about rainfall and what it leaves out, so that farmers and governments know how far to trust the numbers before making decisions.
Students sometimes treat a model as if it were perfect reality, then get confused when it does not match an experiment. The model was never meant to be perfect. The mismatch is the model showing you its limits, which is useful information, not a failure.
Speed Round · 6 questions
True or false? Tap as fast as you can. Build a streak.
A model is a simplified representation of a real object, system or idea.
A plastic model of the heart is an example of a physical model.
Only objects you can touch can be called models.
The equation speed equals distance divided by time is a mathematical model.
Every model has limitations because it leaves out some detail.
A model is always an exact copy of reality with no detail missing.
How are you completing this lesson?
At the start of the lesson you were asked how a plastic heart, a water-cycle diagram and a speed equation can all be models. You may have guessed that they each stand in for something real.
Now that you know the three types, can you be more precise? Name which type each example is, and explain the one feature that all three share even though they look completely different.
Rewrite your answer, naming the type of each model and stating one strength and one limitation for any one of them.
Quick Check · 5 questions
Check Your Understanding · 3 questions
1. Name the three main types of models used in science and give one example of each.
2. In your own words, explain what it means to say that a model is a simplified representation.
3. State one limitation of a globe used as a model of the Earth.
Show Your Working · 3 questions
SA1. Describe the three main types of models used in science. For each type, give an example and explain what kind of question it answers best.
SA2. The particle model pictures atoms as tiny solid balls. Explain one strength and one limitation of this model, and explain why scientists still use it despite the limitation.
Hint: Think about what the model helps you picture, and what it gets wrong.
SA3. Engineers test a scale model of a bridge in a wind tunnel before building the real bridge. Explain why using a model is better than testing the real bridge first, using the idea of predicting and testing safely.
Quick Check
1. C A model is a simplified representation that helps us understand, explain or predict.
2. A A globe is a tangible object you can touch, so it is a physical model.
3. C The equation speed equals distance divided by time uses numbers to describe a relationship, so it is a mathematical model.
4. B A model simplifies reality and leaves out detail, so it always has limitations.
5. C Forecasting tomorrow's weather is using a model to predict what will happen.
Show Your Working Model Answers
SA1 (5 marks): Physical model, an object you can touch such as a globe or plastic heart [1], best for showing shape, structure and scale in three dimensions [0.5]. Conceptual model, a diagram or description such as the water cycle or particle model [1], best for showing processes, flows and relationships [0.5]. Mathematical model, an equation or graph such as speed equals distance divided by time [1], best for calculating and predicting exact values [0.5]. Clear link between each example and the question it suits [0.5].
SA2 (4 marks): Strength, picturing atoms as tiny balls helps explain why solids, liquids and gases behave differently and how matter changes state [1.5]. Limitation, atoms are not really hard coloured spheres, so the picture breaks down when studied closely [1.5]. Scientists still use it because its strengths make many ideas easy to understand, as long as the limitation is remembered [1].
SA3 (3 marks): A scale model lets engineers predict how the bridge will behave under wind and load [1]. Testing the model is safer and cheaper because no real structure or person is at risk if it fails [1]. Problems can be found and fixed on the model before the costly real bridge is built [1].
Model
A simplified representation of reality
Physical
An object you can touch, like a globe
Conceptual
A diagram of how something works
Mathematical
An equation or graph using numbers
Purpose
Explain, predict and test safely
Limitation
Every model leaves out some detail
Put what you have learned to the test! Jump through the questions in game form.
Play GameYour Badges
0 of 6Mark lesson as complete
Tick when you've finished Learn, Practice and the game. Earns +85 XP and +25 coins.