3rd Grade Science (Next Generation Science Standards) • Engineering Design

Variables and Failure Points

Discover why some bridges fall down — and how engineers figure out exactly what went wrong so they can make them stronger.

A microscope with leaf and experiment flask for elementary science discovery
Inside this lesson 9 sections 5 questions 5 figures

SECTION 1

The Phenomenon: The Collapsing Paper Bridge

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🔍 ANCHORING PHENOMENON

All three teams had the exact same materials. So why did one bridge work so much better than the others? And what exactly caused each bridge to fail?

Scientists and engineers ask questions just like this every day. When something doesn't work, they need to figure out what changed between the designs and where the weakness was that caused it to break.

Flat paper55 pennies ✗Bridge AFolded paper1515 pennies △Bridge BAccordion folds4040 pennies ✓Bridge C
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💭 THINKING QUESTIONS
  • What do you think was different about how each bridge was built?
  • Where exactly on each bridge do you think it started to break?
  • If you wanted to test why one bridge was stronger, what would you change — and what would you keep the same?

SECTION 2

What Scientists and Engineers Know

When engineers design something — like a bridge, a toy, or a building — they need to think carefully about what might make their design work or fail. To do this, they use two very important ideas: variables and failure points.

1

What Is a Variable?

A variable is anything in a design or experiment that can be changed. In our paper bridge example, the shape of the paper fold is a variable. The number of pennies is a variable. Even the distance between the book stacks is a variable. Engineers carefully track which variables they change and which ones they keep the same.
2

What Is a Failure Point?

A failure point is the specific spot or reason where a design breaks, bends, or stops working. On Bridge A, the flat paper sagged in the middle — that's the failure point. Engineers always look for failure points so they know what part of the design to improve.
3

Fair Tests Need Controlled Variables

To figure out which variable caused a change, engineers run fair tests. In a fair test, you only change one variable at a time and keep everything else the same. That way, you know exactly what caused the difference. The things you keep the same are called controlled variables.
4

Using Failure to Improve Designs

Failure is not a bad thing in engineering — it is a learning tool. When engineers find a failure point, they study it closely. Then they change the variable that caused the problem. They test again. This cycle of test, fail, learn, and improve is how engineers make great designs.

SECTION 3

Let's Investigate

🔬 Investigation Spotlight: Testing Paper Bridge Variables

What scientists and engineers do: They plan and carry out investigations where they change one variable at a time to figure out what affects how well a design works.

Investigation question: How does the shape of a paper fold affect how many pennies a paper bridge can hold?

Materials you would need:

  • 6 sheets of paper (all the same size)
  • 2 stacks of books (same height, same distance apart)
  • A cup of pennies
  • A data table to record results

What you would do:

  • Keep the same: paper size, book height, distance between books (these are controlled variables).
  • Change ONE thing: the shape of the paper fold (flat, single fold, accordion fold — this is the variable you test).
  • Test each design: Place pennies on the bridge one at a time. Record how many pennies it holds before it fails.
  • Observe the failure point: Watch carefully — where exactly does the bridge start to bend, sag, or break?
  • Run 2 trials for each fold shape. This helps you know if your results are reliable.
1. Ask a Question2. Plan a Fair Test3. Test & Observe4. Identify Failure Point5. Change One VariableTest Again!Change only 1 thing.Keep the rest the same.Where did it break?Why did it break there?
The engineering investigation process: Ask a question, plan a fair test, test and observe, identify failure point, change one variable, and test again.

Notice step 5: engineers change one variable based on what they learned from the failure point — and then they test again! This cycle keeps going until the design works well enough.

SECTION 4

What We Discovered

When students ran this investigation, they collected data in a table. Look at the results below. The data tells a clear story about how one variable — the fold shape — made a big difference in how strong the bridge was.

BRIDGEFOLD SHAPE (VARIABLE)TRIAL 1 (PENNIES)TRIAL 2 (PENNIES)FAILURE POINT
AFlat (no fold)56Paper sagged in the middle
BSingle fold down the center1514Fold creased and flattened under weight
CAccordion fold (5 folds)4038Edges buckled after many pennies

The data shows that changing just one variable — the fold shape — made a huge difference. Bridge C held almost 8 times more weight than Bridge A! This happened because the accordion folds spread out the weight across many ridges. The flat paper had no support at all, so it sagged right away.

Each bridge had a different failure point. Bridge A failed in the center because flat paper bends easily under weight. Bridge B's single fold was stronger, but the fold itself eventually flattened out. Bridge C lasted the longest, but even it failed when the edges of the accordion folds finally buckled under the heavy load of pennies.

By studying these failure points, an engineer could now ask: "How can I fix the edge-buckling problem on Bridge C?" Maybe reinforcing the edges or adding tape would help. That's the next variable to test!

Cross-Section View: Why Shape MattersBridge A — FlatWEIGHT⚠ Sags here!No support = weakBridge B — Single FoldWEIGHT⚠ Fold flattensSome support, but limitedBridge C — AccordionWEIGHTWeight spreads out!Many ridges = strongThe Variable Changed: Fold ShapeSame paper, same books, same pennies — only the fold shape changed.ABCWeakStrong← Strength Scale →

SECTION 5

Patterns and Connections

The crosscutting concept we are exploring in this lesson is Cause and Effect. Scientists and engineers know that events have causes that generate observable patterns. When engineers design tests to identify causes, they change one variable at a time.

This pattern — changing one thing and watching what happens — shows up everywhere in science. Let's look at how cause and effect works across different areas of science:

AREA OF SCIENCEVARIABLE CHANGED (CAUSE)WHAT HAPPENS (EFFECT)FAILURE POINT / RESULT
EngineeringPaper fold shapeBridge holds more or fewer penniesFlat paper sags in the middle
Life ScienceAmount of sunlight for a plantPlant grows taller or shorterPlant in dark closet wilts (failure point)
Earth ScienceAmount of rainfall on a hillsideSoil washes away faster or slowerSteep hill with no plants erodes fastest
Physical ScienceForce used to push a ballBall rolls farther or shorter distanceWeak push means ball stops quickly

Do you see the pattern? In every example, there is one cause (the variable that changes) and one effect (the result we observe). When we control all the other variables, we can clearly see what caused the result. This is how engineers identify failure points — they figure out which specific cause led to the failure.

SECTION 6

Real-World Connections & Engineering Design

Engineers in the real world use variables and failure points every single day. When a real bridge, building, car, or airplane is designed, engineers go through the same process you learned about — just on a much bigger scale.

Here is how the engineering design process works when engineers build something like a new playground structure:

Worked example

  1. 1

    1. Define the Problem

    "We need a playground climbing wall that is safe for kids and doesn't tip over."
  2. 2

    2. Identify the Variables

    Engineers list everything that could affect the design — the height of the wall, the material it's made from, the thickness of the base, and how far apart the handholds are.
  3. 3

    3. Build and Test

    They build a small model first and test it. They push on it, pull on it, and put weight on it.
  4. 4

    4. Find the Failure Point

    Maybe the model tips when pushed from the side. The failure point is the base — it's too narrow.
  5. 5

    5. Change One Variable and Retest

    They make the base wider and test again. If it doesn't tip, they've solved the problem! If something else breaks, they find that new failure point and keep improving.

Real engineers also study failures from the past. When a bridge collapses or a phone screen cracks, teams of engineers investigate the failure point. They ask: "What variable caused this? Was the material too weak? Was the design the wrong shape? Was there too much weight?" This careful detective work leads to safer, better designs for everyone.

You are already thinking like an engineer when you build something, watch it break, and think about what to change. Every time you say "Let me try it a different way," you are using the engineering design process!

SECTION 7

Key Vocabulary Review

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📖 KEY VOCABULARY

Variable — Anything in a design or experiment that can be changed. In a paper bridge test, the fold shape, paper size, and number of pennies are all variables.

Failure Point — The specific spot or reason where a design breaks, bends, collapses, or stops working the way it should.

Fair Test — An investigation where you change only one variable at a time and keep everything else the same, so you know exactly what caused the result.

Controlled Variable — A variable that you keep the same during a test so it doesn't affect the results. Also called "things you keep the same."

Engineering Design Process — The step-by-step method engineers use to define a problem, design a solution, test it, find failure points, and improve the design.

Cause and Effect — The relationship between something that happens (the cause) and what it leads to (the effect). Engineers use fair tests to identify cause and effect.

Trial — One round of testing. Running multiple trials helps you know if your results are reliable.

SECTION 8

Practice: Test Your Understanding

Question 1: Foundational

A group of students built a paper bridge between two stacks of books. They tested it by placing pennies on top until the bridge collapsed. The bridge fell when they added the 8th penny. What is the failure point of this bridge?
  • A. The type of paper used to build the bridge
  • B. The point when the 8th penny was added and the bridge collapsed
  • C. The distance between the two stacks of books
  • D. The number of books in each stack
Show answer
Correct answer: B. The failure point is the moment when the design stops working — in this case, when the 8th penny caused the bridge to collapse. Choice A (the type of paper) is a variable in the design, not the failure point itself. Choice C (the distance between the stacks) is another variable that could affect the test, but it is not the failure point. Choice D (the number of books in each stack) describes part of the test setup, not the moment the design failed.

Question 2: Foundational

Students are testing different designs for a container that keeps an ice cube from melting too fast. Which of the following is a variable they could change in their test?
  • A. The material used to wrap the container
  • B. The fact that ice melts when it gets warm
  • C. The moment the ice cube melts completely
  • D. The name the students give their design
Show answer
Correct answer: A. A variable is something that can be changed in a test to see how it affects the result. The wrapping material (A) can be changed — students could try cotton, foil, or fabric. Choice B describes a scientific fact that cannot be changed by the students. Choice C describes the failure point (when the design stops working), not a variable. Choice D (the name) does not affect how well the container works.

Question 3: Moderate

Maria built a small boat out of aluminum foil to hold marbles. She tested three boats with different shapes. Boat 1 sank with 5 marbles, Boat 2 sank with 12 marbles, and Boat 3 sank with 9 marbles. Which boat had the latest failure point?
  • A. Boat 1, because it was tested first
  • B. Boat 3, because 9 is in the middle
  • C. Boat 2, because it held the most marbles before sinking
  • D. Boat 1, because it sank with the fewest marbles
Show answer
Correct answer: C. The latest failure point means the design lasted the longest before failing. Boat 2 held 12 marbles before sinking, which is more than the other boats. Choice A is wrong because Boat 1 failed the earliest — at only 5 marbles. Choice B is wrong because being "in the middle" does not mean the latest failure point. Choice D correctly states that Boat 1 sank with the fewest marbles, but that describes the earliest failure point, not the latest.

Question 4: Moderate

A team of students is designing a shelter for a toy animal that can protect it from wind. They want to do a fair test. Which plan describes a fair test where only one variable is changed?
  • A. Test shelters made of different materials, using different fan speeds and different sized toys
  • B. Test shelters made of different materials, using the same fan speed and the same toy
  • C. Test the same shelter over and over with different fan speeds and different toys
  • D. Test shelters with different materials and different shapes at different times of day
Show answer
Correct answer: B. A fair test changes only one variable at a time so you can see what caused the difference. In choice B, only the material changes while the fan speed and toy stay the same. Choice A changes three things at once (material, fan speed, and toy size), so you cannot tell which change made the difference. Choice C changes the fan speed and the toy, which is more than one variable. Choice D changes the material, shape, and time of day — too many variables to know what caused the result.

Question 5: Challenging

Jamal built a tower out of index cards. The tower fell over when he placed a small book on top. He wants to redesign his tower so it doesn't fail at the same point. Based on what he learned from the failure point, what is the best next step for Jamal?
  • A. Build the exact same tower and test it again without changing anything
  • B. Use a lighter book so the tower does not fall over
  • C. Change one variable, like the shape or base of the tower, and test it again
  • D. Stop testing because the tower already failed
Show answer
Correct answer: C. Engineers use information from failure points to improve their designs. The best next step is to change one variable — such as making the base wider or changing the shape — and test again to see if it improves the design. Choice A is wrong because building the same tower without changes will give the same result. Choice B is wrong because making the test easier (using a lighter book) doesn't actually improve the tower's design. Choice D is wrong because failure is a normal part of the engineering design process — it gives useful information for making improvements.

SECTION 9

What's Next?

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🔮 WHAT'S NEXT?

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