Lesson of the Day 13
Published on: February 28, 2011
"The hands are the instruments of man's intelligence." — Maria Montessori
Triangles are everywhere — in the roof of a house, the slice of a pizza, the wings of a butterfly. With just three connecting straight sides, the triangle is one of the most fundamental shapes in geometry, and children are naturally fascinated by how something so simple can look so different depending on the length of its sides and the size of its angles. In this lesson, we explore triangles through hands-on matching, reading nomenclature cards, and creative art projects that bring geometry to life.
🎒 Materials You'll Need
- Triangle printout cards (see free printouts below)
- Scissors and a ruler or straight edge
- Construction paper in assorted colors
- Tape (a long piece with sticky side up for the snake activity)
- Glue stick and plain paper for art projects
- Montessori geometric cabinet or shape cards — a wonderful complement to this lesson
- Optional: colored pencils, markers, or crayons for decorating
- 👉 Colorful Constructive Triangles Set on Amazon
- 👉 Montessori Geometric Cabinet Puzzles on Amazon
🔎 Free Printouts
Use these free printable resources to extend the lesson:
- 📄 Triangle Cards — Print and explore different types of triangles
- 📄 Triangle Reading / Nomenclature Cards — Learn the names of different triangle types with 3-part cards
- 📄 Geometric Cards – Circles — Extend shape exploration to circles
- 📄 Curved Shapes — Compare straight-sided triangles to curved shapes
- 📄 Curved Shapes (Solid) — Solid versions for matching activities
🔺 Part 1: What Is a Triangle?
A triangle is a shape with three connecting straight sides. That's the one rule — but within that simple rule, triangles come in a wonderful variety of sizes and shapes. Some are tall and narrow, some are short and wide, and some have all sides exactly equal. Invite your child to look around the room and see how many triangles they can spot!
Activity 1: Easy Matching Game
This is a perfect first activity for younger children and a wonderful way to develop visual discrimination skills.
- Print out two copies of the triangle cards.
- Cut out each triangle carefully.
- Mix up all the pieces on a tray or mat.
- Show your child how to find two triangles that look exactly the same and place them side by side.
- Encourage your child to notice what makes each triangle different — are the sides long or short? Is one angle very pointy?
This hands-on sorting work builds the same skills as the Montessori geometric cabinet — training the eye to see subtle differences in form.
📖 Part 2: Learning the Names of Triangles
Activity 2: Triangle Nomenclature Cards
For children who are ready to learn more, you can introduce the names of different types of triangles — equilateral, isosceles, scalene, right, acute, and obtuse. The triangle nomenclature cards are perfect for this work.
For younger children: Simply use the picture cards and name labels together so they can see and hear the vocabulary.
For older children: Print two copies of each page to create 3-part cards — one complete control card, one picture card, and one label card. The child matches the labels to the pictures, then checks their work with the control card. These make wonderful reading practice too!
🎨 Part 3: Triangle Art
Now comes the creative fun! These art activities let children explore triangles through their hands while reinforcing the geometry concepts they've been learning.
Activity 3: Drawing Triangles
Show your child how to draw triangle shapes on paper using a ruler or straight edge. You can also fold paper into triangle shapes and let them cut along the folds. This is excellent fine motor practice!
Activity 4: Triangle Snake
This is a favorite with little ones!
- Cut out many triangles in different sizes and colors.
- Lay a long piece of tape on the table, sticky side up.
- Press triangles along the tape to form a long worm or snake.
- Use the first triangle as the head — it becomes the pointy snout!
Your triangle snake might look something like this: <>>>>>>>>>>>>>
Activity 5: Triangle Creatures & Designs
Challenge your child to create pictures and designs using only triangle shapes. Here are some ideas to get started:
- 🐟 A fish — one large triangle for the body, a smaller one for the tail
- ⭐ A star — triangles can be arranged into beautiful star shapes
- 🦋 A butterfly — triangle wings on each side of a simple body
- 🏠 A house — a triangle roof sitting on top of a square
Print extra copies of the triangle cards so you have plenty of shapes for all these fun art projects. You can also use colored construction paper to cut freehand triangles in every size and color imaginable.
💡 Montessori Tips
- Follow the child: Some children will spend a long time on the matching game, while others will race to the art projects. Both are valid and valuable!
- Use precise language: Even with young children, use the correct geometric terms — "equilateral," "isosceles," "right angle." Children absorb vocabulary naturally during the sensitive period for language.
- Connect to the real world: Point out triangles in architecture, nature, and everyday objects. A yield sign, a slice of watermelon, a mountain peak — triangles are everywhere once you start looking.
- Extend the work: Pair this lesson with the Montessori constructive triangles material, where children discover that all flat geometric shapes can be built from triangles.