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  1. Middle School Science
  2. Use models to show how particle motion changes as thermal energy is added or removed

MIDDLE SCHOOL PHYSICAL SCIENCE (NEXT GENERATION SCIENCE STANDARDS) • MATTER AND ITS INTERACTIONS

Use models to show how particle motion changes as thermal energy is added or removed

Discover why heating a substance makes its tiny particles move faster and how cooling slows them down.

SECTION 1

Historical Context & Motivation

People have wondered about heat for thousands of years. Ancient Greek thinkers believed that fire was one of the four basic elements. They thought heat was a kind of invisible fluid that flowed between objects. For a long time, nobody connected heat to the tiny particles inside matter.

Over centuries, scientists started to ask a big question: What actually happens inside a substance when it gets hotter or colder? Answering that question changed how we understand everything from melting ice to boiling water.

1738
Daniel Bernoulli's Particle Idea
Swiss scientist Daniel Bernoulli suggested that gas is made of tiny moving particles. He proposed that their motion creates pressure.
1827
Robert Brown Sees Pollen Jiggle
Botanist Robert Brown looked at pollen grains in water through a microscope. He saw them zigzagging randomly, hinting that invisible particles were bumping into them.
1860s
Kinetic Theory Takes Shape
James Clerk Maxwell and Ludwig Boltzmann developed the kinetic molecular theory. It explains that temperature measures the average motion energy of particles.
1905
Einstein Explains Brownian Motion
Albert Einstein used math to prove that Brown's jiggling pollen was caused by water molecules crashing into it. This convinced most scientists that atoms and molecules are real.

Today we know that all matter is made of incredibly tiny particles (atoms and molecules). These particles are always in motion. The big question we will explore is: How does adding or removing thermal energy change the way these particles move? To answer it, we will build and use models — simple pictures and descriptions that help us "see" what is happening at a scale too small for our eyes.

SECTION 2

Core Principles & Definitions

Anchoring Phenomenon

🍫 PHENOMENON
You leave a chocolate bar on the dashboard of a car on a sunny day. When you come back, the chocolate has melted into a gooey puddle. Later that night, you put it in the freezer, and it turns solid again. What is happening to the tiny particles inside the chocolate as it melts and then freezes?

To explain this phenomenon, we need a few key ideas. Let's start with the most important vocabulary and principles.

1

Thermal Energy

Thermal energy is the total energy of all the moving particles in a substance. The more particles move, the more thermal energy the substance has.
2

Kinetic Energy of Particles

Kinetic energy means movement energy. Every single particle in matter has kinetic energy because it is always moving — vibrating, sliding, or flying around.
3

Temperature

Temperature measures the average kinetic energy of all particles in a sample. Higher temperature means particles move faster on average.
4

States of Matter

Matter exists as a solid, liquid, or gas. The state depends on how fast particles move and how strongly they attract each other.
5

Particle Models

A particle model is a drawing or diagram that represents particles as small circles. Arrows can show how fast and in which direction they move.
✦ KEY TAKEAWAY
Think of particles like students in a classroom. In a solid, students sit in their seats and just wiggle a little. In a liquid, students get up and walk around the room, sliding past each other. In a gas, students sprint all over the school building, bouncing off walls and each other! Adding thermal energy is like giving students more and more energy drinks — they move faster and spread out more.
SECTION 3

Particle Motion in Three States of Matter

The diagram below is a particle model. It shows what particles look like in each state of matter. Each small circle represents a particle (an atom or molecule). The arrows show how the particles are moving. Longer arrows mean faster motion.

Particle Model: Solids, Liquids, and GasesSOLID (Ice)Particles vibrate in placePacked tightly, fixed positionsLIQUID (Water)Particles slide past each otherClose together, free to flowGAS (Steam)Particles fly freely at high speedFar apart, moving very fastAdd Thermal Energy →← Remove Thermal EnergyParticle speed and spacing increase →
This particle model shows how particles behave in a solid, liquid, and gas. Notice three things: (1) the spacing between particles increases from solid to gas, (2) the arrows get longer showing faster motion, and (3) the arrangement goes from orderly rows to random positions.

Look at the solid box on the left. The particles are packed closely together in neat rows. They vibrate (shake back and forth) but stay in their positions. Now look at the liquid in the center. The particles are still close, but they can slide around each other. Finally, look at the gas on the right. The particles are spread far apart and zoom in every direction. This is what happens when you keep adding thermal energy to a substance.

🔬 NGSS SCIENCE PRACTICE
Developing and Using Models (SEP 2): Scientists draw particle models to explain things we cannot directly see. A good model shows spacing, arrangement, and motion of particles. You can use these models to predict what will happen when energy is added or removed.
SECTION 4

How Thermal Energy Changes Particle Motion

When you heat a substance, you are transferring thermal energy into it. That energy goes directly to the particles and makes them move faster. When you cool a substance, thermal energy leaves, and particles slow down. Let's see how this works for each state of matter.

Adding Thermal Energy (Heating)

  1. Solid → warmer solid: Particles vibrate faster and harder, but they stay locked in their positions.
  2. Solid → liquid (melting): Enough energy is added to break the rigid structure. Particles begin sliding past each other.
  3. Liquid → gas (boiling / evaporating): Particles gain enough energy to overcome their attractions completely. They fly apart and spread out.

Removing Thermal Energy (Cooling)

  1. Gas → liquid (condensation): Particles slow down enough for attractions to pull them closer together.
  2. Liquid → solid (freezing): Particles slow even more and lock into fixed positions, forming a rigid structure.
RELATIONSHIP BETWEEN THERMAL ENERGY AND TEMPERATURE
More thermal energy → higher average kinetic energy → higher temperature
This is a cause-and-effect chain (CCC: Cause and Effect). Adding thermal energy causes particles to speed up. The effect is a rise in temperature. The reverse is also true: removing thermal energy lowers temperature because particles slow down.
⚠️ IMPORTANT — DURING A STATE CHANGE
When a substance is melting or boiling, you are still adding thermal energy — but the temperature does not go up! The energy is being used to break the attractions between particles instead of making them move faster. This is a key idea that surprises many students.

Think about it this way. You keep adding heat to a pot of boiling water. The temperature stays at 100 °C until all the water has turned to steam. The energy goes toward pulling particles apart, not speeding them up. Once all the liquid is gone, adding more energy will raise the temperature of the steam.

SECTION 5

Energy Diagram: Heating Curve

A heating curve is a graph that shows how the temperature of a substance changes as thermal energy is added over time. It is one of the most important models in this topic. Let's look at one for water.

Heating Curve of WaterThermal Energy Added →Temperature (°C)−200100ICEwarms upMELTINGtemp stays 0 °CLIQUID WATERwarms upBOILINGtemp stays 100 °CSTEAMwarms upKey Pattern (CCC: Patterns)Flat sections = state changesSloped sections = temperature rises
The heating curve of water shows five regions. The sloped sections (ice warming, liquid warming, steam warming) are where temperature increases as energy is added. The flat sections (melting at 0 °C and boiling at 100 °C) are where energy goes toward breaking particle attractions — temperature does not change.

Notice the pattern (CCC: Patterns) in the graph. Every time there is a state change (melting or boiling), the line goes flat. That flat line tells us that the added energy is being used to break the forces holding particles together. Once the state change is done, the line goes up again because particles are speeding up.

✦ KEY TAKEAWAY
Imagine you are saving money for a new video game. For a while, every dollar you earn goes into your piggy bank (temperature rising). But then you have to pay a fee to unlock the game store (state change). While you pay the fee, your bank balance stays the same — your money goes to the fee, not savings. That is exactly what happens during melting and boiling: energy goes toward breaking particle attractions, not raising temperature.
SECTION 6

Worked Example: Drawing a Particle Model

Let's practice the science and engineering practice of Developing and Using Models. We will draw particle models to explain the melting chocolate phenomenon from Section 2.

Modeling Chocolate Melting on a Hot Dashboard

Step 1 — Identify the Starting State

The chocolate bar starts as a solid. In our model, we draw particles as small circles packed closely together in a regular pattern. We add tiny arrows to show that they vibrate in place.
Model A: Closely packed circles in neat rows, tiny arrows vibrating.

Step 2 — Describe the Energy Change

Sunlight heats the car dashboard. Thermal energy transfers from the hot dashboard into the chocolate. This is the cause in our cause-and-effect explanation.
Cause: Thermal energy is added from the hot surroundings.

Step 3 — Describe the Particle Change

As particles gain energy, they vibrate more and more. Eventually they have enough kinetic energy to break free from their fixed positions. They start to slide past each other. The solid melts into a liquid.
Effect: Particles move from vibrating in place to sliding freely — the chocolate melts.

Step 4 — Draw the Final State Model

Now we draw Model B: particles are still close together but no longer in neat rows. They are randomly arranged and have medium-length arrows showing they slide past each other. This represents the melted (liquid) chocolate.
Model B: Closely spaced but randomly arranged circles, medium arrows in different directions.

Step 5 — Explain Freezing (Reversing the Process)

When you put the chocolate in the freezer, thermal energy is removed. Particles slow down and attractions pull them back into fixed positions. Draw Model C looking like Model A again — tightly packed, tiny vibration arrows.
Model C: Particles return to ordered rows with tiny arrows — chocolate is solid again.
✅ MODEL-BUILDING CHECKLIST
When you draw your own particle model, always include: (1) circles for particles, (2) arrows for motion, (3) labels for the state of matter, and (4) a description of whether energy was added or removed. A complete model lets someone else look at your drawing and understand what is happening at the particle level.
SECTION 7

Strengths and Limitations of Particle Models

Every scientific model has strengths and limitations. A model is useful because it simplifies a complex idea. But that same simplification means it cannot show everything. Understanding what a model can and cannot do is part of thinking like a scientist.

Strengths and Limitations of Particle Diagrams
FeatureStrengths ✓Limitations ✗
Particle spacingShows that particles are closer in solids and farther apart in gasesCircles are drawn much larger than real particles; scale is not accurate
Particle motionArrows show speed and direction of movement clearlyA drawing is a single snapshot — it does not show motion over time like an animation would
Attractions between particlesWe can infer attraction by how close particles are drawnDoes not show the invisible forces between particles directly
Number of particlesA small number of circles makes the pattern easy to seeReal matter contains trillions of trillions of particles — far more than we can draw
✦ KEY TAKEAWAY
A particle model is like a map of your school. The map shows where rooms are and how hallways connect, but it cannot show the noise, the smells, or the thousands of students walking around. It is useful for the information it does include, even though it leaves out many real details. Scientists improve models over time to include more information.
SECTION 8

Connecting to Advanced Ideas

The particle models you learned today are the foundation for much deeper science in high school and college. Here is how the ideas connect to what comes next.

From Middle School Models to Advanced Science
What You Learn Now (Middle School)What Comes Next (High School & Beyond)
Temperature measures average particle kinetic energyYou will calculate kinetic energy using the formula KE = ½mv², where m is mass and v is velocity
Particles have attractions that hold them togetherYou will learn about intermolecular forces (London dispersion, dipole-dipole, hydrogen bonds)
Flat parts of the heating curve mean energy breaks attractionsYou will calculate the energy needed for state changes using heat of fusion and heat of vaporization
We draw particle models with circles and arrowsYou will use computer simulations that model millions of particles and predict real material behavior

There is even a state of matter beyond gas: plasma. When a gas gets so hot that particles start losing electrons, it becomes plasma. Stars like our Sun are made of plasma! The same core idea applies: adding enormous amounts of thermal energy makes particles move incredibly fast and changes the state of matter.

🔗 CROSSCUTTING CONCEPT: ENERGY AND MATTER
The flow of energy drives changes in matter. In every system, energy is conserved — it is not created or destroyed. When thermal energy enters a substance, it has to go somewhere: either into faster particle motion (temperature rise) or into breaking attractions (state change). This pattern appears across all areas of science, from chemistry to Earth science to biology.
SECTION 9

Practice Problems

PROBLEM 1 — CONCEPTUAL
A student draws a particle model of a gas. Which description best matches what the model should look like? A. Circles packed tightly in neat rows with tiny arrows B. Circles spread far apart with long arrows pointing in many directions C. Circles close together but randomly arranged with medium arrows D. Circles with no arrows because gas particles do not move
PROBLEM 2 — BASIC
You take an ice cube out of the freezer and leave it on the counter. As it melts, what happens to the average kinetic energy of the water particles? A. It decreases because the ice is melting B. It stays the same during melting, then increases C. It increases steadily the entire time D. It stays the same forever
PROBLEM 3 — INTERMEDIATE
Look at a heating curve. A substance is being heated and its temperature has stopped rising even though energy is still being added. Which of the following best explains what is happening at the particle level? A. The particles have stopped moving completely B. The energy is being used to break attractions between particles during a state change C. The thermometer is broken D. The substance has reached its maximum possible temperature
PROBLEM 4 — APPLIED
On a humid summer day, you pour a glass of ice-cold lemonade. Water droplets form on the outside of the glass. Using a particle model, which explanation best describes why the droplets appear? A. Lemonade leaks through the glass B. Water vapor particles in the air slow down near the cold glass, lose kinetic energy, and their attractions pull them together into liquid droplets (condensation) C. The glass creates new water particles D. The ice inside the glass pushes water through the walls
PROBLEM 5 — CRITICAL THINKING
A student says: "In a solid, particles don't move at all. In a liquid, they start moving. In a gas, they move the fastest." Evaluate this claim. Which part is correct and which part is incorrect? Use the crosscutting concept of Stability and Change in your answer. A. The claim is completely correct B. The claim is completely incorrect — particles do not move in any state C. The part about gases being fastest is correct, but the claim that solid particles don't move is incorrect — solid particles vibrate in fixed positions D. The claim is correct only for gases and incorrect for both solids and liquids
SUMMARY

Lesson Summary

All matter is made of tiny particles (atoms and molecules) that are always in motion. Thermal energy is the total kinetic energy of all these particles. Temperature measures the average kinetic energy of particles. When thermal energy is added, particles speed up and may change from solid to liquid to gas. When thermal energy is removed, particles slow down and may change from gas to liquid to solid.

We use particle models to show spacing, arrangement, and motion of particles in each state. In a solid, particles vibrate in fixed positions. In a liquid, they slide past each other. In a gas, they fly freely at high speeds. During state changes (melting, boiling, freezing, condensation), the temperature stays constant because energy goes toward breaking or forming particle attractions rather than changing speed. The crosscutting concepts of Cause and Effect, Energy and Matter, and Patterns help us explain and predict how matter behaves as thermal energy changes.

Varsity Tutors • Middle School Physical Science (Next Generation Science Standards) • Use models to show how particle motion changes as thermal energy is added or removed