Linkages

What are Linkages?

Build moving creatures and mechanisms with systems of sturdy cardboard levers and pivots. Learners explore four types of mechanical linkages — reverse motion, bell crank, parallel motion, and scissor — then design their own animals that dance, fish that swim, and other creatures that come to life. Every Linkages project becomes a small engineered machine with a story behind it.

Time Needed:
15-45 minutes. Suggested activity-station time is 15 minutes; recommended classroom learning time is 40 minutes.
Grade Level:
Pre-K and up
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Overview

Linkages introduce learners to the simple machines that make almost every moving object in the world work — levers connected by pivots. Each learner receives two sheets of die-cut cardboard bars, a sheet of die-cut shapes, a blank cardboard backing sheet, a set of plastic pivot fasteners (brads), a printed visual guide, and a reusable bag.

The build unfolds in nine steps. Learners explore their materials, prepare levers and pivots, connect two bars with a free pivot, then learn each of the four mechanical linkage types: reverse motion (sideways push-pull), bell crank (right-angle transfer), parallel motion (vertical-and-horizontal movement), and scissor (extend-and-retract). Once they understand the mechanisms, learners use a printable design sheet to imagine and plan a unique creature or machine, build a paper prototype, and create a final version that disguises the linkage inside a story. Extensions connect machines together into multi-part mega-mechanisms or use the design-sheet framework to solve real-world problems.

Materials

Each learner recieves
  • Two die-cut cardboard bar sheets (the straight levers)
  • A sheet of die-cut cardboard shapes
  • A blank cardboard backing sheet
  • A set of plastic pivot fasteners (brads)
  • A printed visual guide
  • A reusable reclosable bag
What you need to provide

Scissors for cutting scrap cardboard and paper prototype parts.

A pencil or dark pen for poking holes in the backing sheet and sketching designs on the printable design sheet.

Tape and art supplies — paper, scrap cardboard, markers, colored paper — for creating components and disguising the mechanism.

Optional resources
  • Printable design sheet (two-stage: prototype + final) for planning and iterating a creature or machine
  • Problem-Solving with Linkages worksheet for the grades 4+ design-thinking extension
  • Extra scrap cardboard for learners who want to cut custom levers or build a larger backing board
  • Colored paper, markers, and additional art supplies for decorating and disguising the finished mechanism
  • A printable information sheet showing the four linkage types side by side for reference

Key Challenges

  1. Prepare levers and pivots. Learners remove the die-cut bars and plastic pivot fasteners from their sheets, identifying each piece and its role — levers rotate, pivots connect them.
  2. Connect levers into a working system. Learners attach two bars with a free pivot, then anchor a fixed pivot to the cardboard board so one lever rotates while the other stays put.
  3. Build and compare four linkage types. Learners explore reverse motion, bell crank, parallel motion, and scissor linkages — discovering how each transfers push-and-pull forces in a different direction.
  4. Design a unique creature or machine. Using the printable design sheet, learners imagine, sketch, prototype, and finalize a one-of-a-kind project — an animal that dances, a fish that swims, a trash grabber, a rising sun — that disguises the linkage inside a story.

Learner Goals

MUST
  • Connect two cardboard bars with a plastic pivot so the levers slide and rotate freely.
  • Anchor a fixed pivot on the backing board so other levers can rotate around a stationary point.
  • Build at least one of the four linkage types — reverse motion, bell crank, parallel motion, or scissor — and demonstrate how it moves.
SHOULD
  • Identify levers, pivots, free pivots, and fixed pivots in their Linkages project and in everyday objects like scissors, an elbow, or a wheelbarrow.
  • Explain in their own words how push-and-pull forces travel through connected levers to make something at the other end of the system move.
  • Compare the four linkage types and pick the one that best matches the motion they want to create — sideways, vertical, both-at-once, or extending.
COULD
  • Invent a unique creature or machine by sketching, prototyping, and finalizing a design on the printable design sheet — disguising the linkage inside a story.
  • Combine multiple linkage types in one project so different parts of the creation move in different directions.
  • Pair up and connect two machines so the output of one becomes the input of the other — then combine pairs into a four-part mega-machine driven by a single input.

Extension Activities

  • Many Moving Machines. Have learners pair up and connect two completed linkage projects end-to-end, so the output of one machine becomes the input for the other. They will need to reinforce the backing boards with scrap cardboard to keep the combined system rigid. Once pairs work, combine two pairs into a four-part mega-machine driven by a single input — learners may need to simplify or reinforce components to get the whole thing moving.
  • Problem-Solving with Linkages (grades 4+). Use the Problem-Solving with Linkages worksheet to lead learners through a design-thinking exercise: identify a real-world problem, brainstorm an invention that could solve it, pick which linkage type fits, and build the solution. Finish with a whole-group share-out where learners present their inventions.
  • Puppets and marionettes (grades K-3). Thread yarn or string through the pivot holes of the die-cut pieces to turn a Linkages build into a simple marionette. Learners can animate characters from a recent read-aloud or a social studies lesson.
  • Animals and everyday objects. The slide deck offers a fish example — challenge learners to invent other animals or everyday objects that use linkages: a handheld fan, a pinwheel, a see-saw, a dancing creature, a waving arm. Each one uses a different linkage type.
  • Multi-session design project. Use the two-stage design sheet over multiple class periods. Session one: imagine and sketch. Session two: build a paper prototype. Session three: finalize with art supplies and disguise the mechanism inside a scene or story. This turns Linkages into a full engineering-design-process project.

Step-by-Step Guide

Pre-Activity Questions
Pre-K - Kindergarten
  1. Can you find something in the room that has two parts that move together when you push one of them?
  2. What happens when you bend your elbow? What do you think makes it bend?
  3. Have you ever used scissors? What makes them open and close in the middle?
1st - 3rd Grade
  1. What does it mean when we say something pivots? Can you show a pivot with your hands?
  2. If you push on one end of a long stick that is resting on a pencil, what do you think happens to the other end?
  3. Can you name a machine or a tool in your house that uses levers or pivots to move?
4th - 8th Grade
  1. What is the difference between a free pivot and a fixed pivot? Where would you use each?
  2. If you wanted to design a machine that grabs something far away, what kind of linkage do you think would work best?
  3. Real machines — a windshield wiper, a bicycle brake, a robot arm — use linkages to transfer motion from one place to another. Can you name one and guess which kind of linkage it uses?
Pro Tips
  • It’s theirs to keep. Remind learners from the start that this project belongs to them when they are done — watch how their engagement increases when they know they get to take it home.
  • Ask before you fix. When a learner is struggling with a brad that won’t grip or a lever that won’t slide, ask questions before offering fixes. Point out what you see and ask what they think is causing the problem. Avoid getting hands-on unless absolutely necessary.
  • Troubleshoot the brad first. Pivot fasteners often have legs that get in the way or stick out in the wrong direction. Have learners look closely — it might be as simple as removing and reversing the brad or pressing it flatter.
  • Simpler is better. Learners often want to use as many components as possible, which causes a linkage traffic jam. Encourage them to use as few moving parts as possible — the simpler the system, the better it works.
  • Scrap cardboard is free levers. If a learner needs a special part or a custom shape, scrap cardboard is the best source. Have them punch their own pivot holes at the same spacing as the die-cut ones, or invent their own piece shapes. Larger scrap backing boards unlock more complex systems.
  • Free pivots are everywhere. Before learners build their first pivot, invite them to find free pivots in the room or on their own body — a pair of scissors, an elbow, a doorknob, a wheelbarrow handle. It anchors the vocabulary in the real world.
  • Use guides for straight-line motion. When a lever wobbles off track, add a guide — a short lever scrap or just a pair of brads on either side — to keep it sliding in a straight line. Leave the guide loose enough that the lever slides easily.
  • Disguise the mechanism. Strong designs emphasize what learners want people to see (the fish, the dog, the trash grabber) and hide the less important parts of the mechanism underneath. Remind them of this before they start cutting art supplies.
  • Sketch first, build second. For older learners, the two-stage design sheet is the best tool in the kit. Have them sketch more than one idea before committing to one — it builds planning and problem-solving skills far more than free-building does.
  • The bag is a storage box. The reclosable bag is the perfect place to store projects in process and all the extra components between sessions. Name-tag the bag or tuck a paper name inside.

Step 1: Explore Your Materials

Question: What do you notice about the different pieces in your kit? How do you think they will come together to make something that moves?

  • Have learners open their reclosable bag and lay out everything: two die-cut cardboard bar sheets (the straight levers), a sheet of die-cut shapes, a blank cardboard backing sheet, a set of plastic pivot fasteners (brads), and a printed visual guide.
  • Ask learners to describe what they see before you name the parts — what do they think the long straight pieces do? What about the little plastic fasteners?
  • Remind learners that they will also need scissors, tape, and art supplies to add creature features to their finished mechanism. These are not included in the kit.
  • Remind learners from the start that this project will belong to them when they are done — watch how their engagement increases when they know they get to take it home.

Step 2: Prepare Your Levers and Pivots

Question: Have you ever used a lever or a pivot before? Can you find one in the room right now?

  • Have learners carefully remove the long straight bars from one die-cut sheet. These are the levers — rigid bars that will rotate around a pivot.
  • Next, have learners pull a plastic fastener (a brad) out of its strip. This is a pivot — a point or object that a lever rests on and rotates around.
  • Point out the small round holes in each lever — these are called pivot holes and are where the brads will go.
  • Set up a corner of each desk as a trash zone for the small cardboard scraps that fall out of the die-cut sheets. At the end of the activity, it will be easy to sweep them into a bin.
  • Keep all unused levers, pivots, and die-cut shapes in the reclosable bag — it is the perfect place to store projects in process and any extra components.

Step 3: Connect Two Levers with a Free Pivot

Question: When two levers are joined by a pivot, how do you think they will move?

  • Have learners insert a brad through the pivot hole at the end of one long lever and press it steadily through. Then have them line up the hole at the end of a second long lever and press the brad through that one too.
  • The two levers should now be firmly connected and should slide and rotate against each other when moved. This is a free pivot — a pivot that allows connected levers to move freely in any direction.
  • Invite learners to find other free pivots in everyday things. Scissors pivot at the middle to open and close. An elbow is a free pivot that lets an arm bend.
  • If the brad is catching or the levers are stuck, ask learners to look closely at how the brad legs are sitting — they may need to be pressed flatter or reversed so they do not snag on the cardboard.

Step 4: Build a Reverse Motion Linkage

Question: What happens when you push one end of a connected lever system? Which direction does the other end move?

  • Slide in the blank cardboard backing sheet. Have learners carefully poke a starter hole through the cardboard with a pencil, flip the brad so its point faces away from the board, and press it through to anchor a lever. This is a fixed pivot — it stays in place while other levers rotate around it.
  • Add one more free pivot and one more long lever to the system to complete a reverse motion linkage.
  • Use extra brads or short lever scraps as guides on either side of a moving lever, so it slides straight and does not wobble out of place. Leave the guides loose enough that the lever slides easily.
  • Ask learners to push one end of the system and watch the opposite end move in the reverse direction. Everything rotates around the fixed pivot.
  • Reverse motion linkages are great for elements that move sideways — a waving hand, a swinging tail, a sliding drawer.

Step 5: Build a Bell Crank Linkage

Question: What if you wanted something to move up and down when you push a lever sideways?

  • Bell crank linkages use an angled piece to transfer motion around a right angle — vertical push becomes horizontal motion, or the other way around.
  • Tell the story: long ago, in a castle, a servant would pull on a rope to ring the cookie-delivery bell. The rope traveled along the ceiling, turned a corner on an angled crank, and pulled on a hammer that struck the bell.
  • Have learners use a die-cut angled shape, a long lever as the "rope," and a short lever as the hammer. Anchor the crank with a fixed pivot and connect the two levers with free pivots at each end.
  • Pulling on the vertical lever should cause the horizontal lever to move sideways and strike an imaginary bell.
  • Bell crank linkages are perfect for scenes where a pull on one lever triggers a hit, a tap, or a side-to-side motion somewhere else.

Step 6: Build a Parallel Motion Linkage

Question: What if something needs to move sideways and up-and-down at the same time — like a rising sun, or a creature that slides across a scene?

  • Parallel motion linkages look like rectangles that can tilt. The top and bottom bars are the same length, the side bars are the same length, and opposing sides always stay parallel to each other — that makes the shape a parallelogram.
  • Have learners connect four levers into a parallelogram with free pivots at each corner, then anchor two of the pivots as fixed pivots so the rest of the shape can tilt while staying parallel.
  • As they tilt the parallelogram, any object attached to the top edge will move vertically and horizontally at the same time.
  • This mechanism is great for rising-and-falling sun scenes, creatures that slide across a background, or multi-element scenes where things move together.

Step 7: Build a Scissor Linkage

Question: How could you design a mechanism that extends far away from its starting position — and then folds back up again?

  • Scissor linkages are pairs of levers with pivots at the centers and at each end. A basic scissor is just two levers that pivot at the middle, like a pair of scissors does.
  • Have learners connect two levers with a free pivot at the center, then connect another pair the same way, then link the pairs together end-to-end. With enough pairs, the linkage can extend far and fold back into a small space.
  • Scissor linkages are perfect for mechanisms with reach: grabbers, claws, extending swords, pantograph drawers. In the slide deck example, learners build a fish whose body flexes and swims using a scissor linkage.
  • Remind learners: the simpler the linkage, the better it works. Too many moving parts often cause a linkage traffic jam.

Step 8: Design Your Unique Creation

Question: Now that you know how each linkage type moves, what will you invent?

  • Hand out the two-stage printable design sheet. On the first side, learners describe their creation in one sentence (a fish that swims, a dog that wags, a grabber that picks up trash) and pick which linkage type will power it.
  • Have them sketch two or more rough ideas before committing to one. Sketching more than one option builds planning and problem-solving skills. Label the mechanism so it is clear how elements will move.
  • Build a paper prototype. Draw and cut quick paper parts and attach them with tape to test the idea fast. Remind learners this is not the final version — it is supposed to be messy and quick.
  • Flip the design sheet to the final plan. Learners give their invention a title, list up to three improvements they will make, and draw a final sketch with every mechanism clearly labeled.
  • For grades 4 and up, introduce the Problem-Solving with Linkages worksheet: learners identify a real-world problem, brainstorm an invention that could solve it, and label which linkage type their solution uses.

Step 9: Iterate!

Question: What could you add, change, or combine to make your Linkages creation truly one of a kind?

  • This is an open-ended design and build challenge — every Linkages project should look different from the example. Encourage learners to keep tinkering, reinforcing backing boards, and adding scrap-cardboard components until their mechanism tells the story they want.
  • Remind them to disguise the less important parts of the mechanism so that what others see is the character, not the cardboard bars behind it.
  • See Extension Activities for structured challenges including combining machines into mega-mechanisms, solving real-world problems with the design-thinking worksheet, and repurposing Linkages as puppets or marionettes.
Post-Activity Questions
Pre-K - Kindergarten
  1. When you pushed one end of your linkage, what did the other end do? Did it surprise you?
  2. What does your creature look like? What does it do when you move the lever?
  3. Can you show me a pivot on your linkage? Can you find a pivot on your body?
1st - 3rd Grade
  1. Which linkage type did you use for your project — scissor, parallel motion, bell crank, or reverse motion? Why did you pick that one?
  2. Where does the force go when you push on one end of your linkage? Can you trace the path with your finger?
  3. If you built this again, what would you change about your design?
4th - 8th Grade
  1. Each linkage type is best for a different kind of motion. Which type was hardest to build, and why?
  2. Can you think of a real-world mechanism that uses the same kind of linkage you just built — and explain how the force travels through it?
  3. If you had to combine two of your classmates’ machines into one bigger system, where would the output of the first machine need to connect to the input of the second?

Standards & Goals

Common Core ELA Standards

RI.K-2.7 – Use illustrations and words in a text to describe key ideas: Example: Learners refer to the printed Linkages visual guide in their kit to identify which piece is a lever, which is a brad, and how the pivot holes line up — using both the printed illustrations and the educator’s spoken vocabulary to understand the system before assembling their first free pivot.

SL.K-2.1 – Participate in collaborative conversations: Example: Learners describe to a partner what happens when they push on one end of their reverse-motion linkage, using the vocabulary “lever,” “pivot,” and “fixed pivot” to explain why the opposite end moves in the other direction.

RI.3-5.3 – Explain relationships between concepts in a text: Example: Learners explain the cause-and-effect chain in their bell-crank linkage — how pulling the vertical lever causes the angled crank to rotate, which in turn pulls the horizontal hammer toward the imaginary bell — tracing the path of force through the connected levers.

W.3-5.3 – Write narratives to develop real or imagined experiences: Example: Learners write a short story for the creature or machine they designed on their Linkages design sheet, naming their invention, describing what problem it solves or what it does, and explaining how their chosen linkage type powers the moving part of the story.

RST.6-8.3 – Follow a multistep procedure when carrying out experiments: Example: Learners follow the Linkages build sequence precisely — preparing levers and brads, creating a free pivot, anchoring a fixed pivot with a pencil-poked starter hole, and adding guides before testing the system — understanding that each step depends on the previous one or the linkage will jam.

SL.6-8.1 – Engage in collaborative discussions with diverse partners: Example: Learners debate which linkage type is the best fit for a partner’s design challenge during the Problem-Solving with Linkages extension — comparing the trade-offs between reverse motion, bell crank, parallel motion, and scissor linkages and defending their choice with evidence from the mechanism’s motion.

Common Core Math Standards

K.MD.A.1 – Describe measurable attributes of objects: Example: Learners compare the lengths of the long levers and short levers in the Linkages kit and describe how a longer lever travels a greater distance when it rotates around the same pivot — connecting the observable attribute of length to the distance the mechanism moves.

K.G.A.1 – Describe objects using names of shapes and relative positions: Example: Learners identify the parallelogram shape formed by a parallel-motion linkage, naming the four sides and describing positional relationships — the top bar stays parallel to the bottom bar, the side bars tilt together — using shape and position vocabulary as they tilt the assembled linkage on the backing board.

3.MD.B.4 – Generate measurement data by measuring lengths: Example: Learners measure how far the end of their reverse-motion linkage travels when they push the opposite end a fixed distance, generating data about the ratio between input and output motion and comparing results across different lever lengths on the same backing board.

4.OA.C.5 – Generate and analyze patterns: Example: Learners observe the push-pull pattern of their reverse-motion linkage — when one lever moves right, the other moves left, over and over — and identify this as a consistent, repeating inverse relationship that they can predict before every push.

6.RP.A.1 – Understand ratio concepts and use ratio reasoning: Example: Learners explore the lever-arm ratio in their bell-crank linkage — a short input lever paired with a long output lever moves a shorter input distance into a longer output distance — and describe the ratio of input-to-output travel in simple terms, discussing how changing the lever lengths would change the ratio.

7.G.A.2 – Draw geometric shapes with given conditions: Example: Learners draw the parallelogram formed by a four-bar parallel-motion linkage on their design sheet, labeling the two pairs of equal-length sides and the fixed pivots — then predict how the parallelogram will tilt when one side is pushed, verifying the prediction by building and testing the linkage.

Next Generation Science Standards (NGSS)

K-PS2-1 – Motion and Stability: Forces and Interactions: Example: Learners explore how pushing and pulling one end of their Linkages system causes the other end to move in a predictable direction — observing firsthand that a push force transfers through the connected levers and around the fixed pivot to create motion at the far end of the mechanism.

K-2-ETS1-2 – Engineering Design: Develop a simple sketch, drawing, or physical model: Example: Learners sketch their creature or machine on the printable design sheet before building it — drawing where the levers will go, labeling the pivots, and planning how the linkage will be disguised inside the character — then iterate on the design when the first build does not move as expected.

3-PS2-1 – Forces and Interactions: Cause and Effect: Example: Learners investigate how the force of pushing on a reverse-motion linkage causes the opposite end to travel in the reverse direction, testing different push strengths and observing how harder pushes move the mechanism farther — establishing a cause-and-effect relationship between applied force and lever motion.

3-5-ETS1-3 – Plan and carry out fair tests to identify failure points: Example: Learners systematically troubleshoot a stuck Linkages system by checking one variable at a time — is the brad too tight, is the fixed pivot floppy, is there a lever traffic jam, is the backing board too flexible — isolating the failure point before making a fix.

MS-PS3-2 – Mechanical Energy Transfer: Example: Learners explain how mechanical energy transfers through their Linkages system — the push on one lever becomes rotational energy around the fixed pivot, which transfers through the connecting brads into the next lever, and finally into the motion of the disguised creature or machine at the output end.

MS-ETS1-2 – Engineering Design: Evaluate competing design solutions: Example: Learners compare which linkage type best solves a design challenge — reverse motion for side-to-side motion, bell crank for right-angle transfer, parallel motion for tilting-and-sliding scenes, scissor for reach and extension — evaluating trade-offs in simplicity, distance traveled, and visual effect before committing to a final design.

Troubleshooting & Pro Tips

Brad won’t go through the pivot hole

Pivot fasteners sometimes have legs that catch or stick out in the wrong direction. Have learners look closely at the brad before pushing — the two legs should go in together. If it still catches, pull it out, straighten the legs, and try again. Reversing the brad so the point faces the other way often helps.

Levers are stuck and won’t slide

The brad is probably pressed too tight. Have learners gently pry the brad’s legs open a little so the levers have room to rotate freely around it. The connection should be firm but not locked.

Lever wobbles or falls off the board

The lever needs a guide to keep it moving in a straight line. Add a short lever scrap or a pair of brads on either side of the wobbling lever, leaving enough space that it slides easily. If the backing board is floppy, reinforce it with a piece of scrap cardboard taped to the back.

Too many parts — linkage traffic jam

Learners often try to use every piece in the kit, which creates a system with too many moving parts that jam against each other. Gently encourage them to remove parts until the motion is clean — the simpler the linkage, the better it works.

Backing board is too small for the design

If a learner’s creation needs more room than the die-cut backing sheet provides, hand them a larger piece of scrap cardboard. They can tape or brad-punch a bigger backing board to fit the whole mechanism.

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