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Shapes and patterns

Mathematics · Class 3

GG3-T01-04 · GG3-S01-04

This topic comes from GayaGnan's Class 3 catalog. It is generic, not an official board syllabus: check your board's book for the exact chapter.

1 ✨ Spark

A dice, a brick and a ball are on the table. Which ones can roll, and why?

Think about this for a moment before you start.

2 🧊 3D Explore

Turn the scene, tap the objects and answer. Easy, Medium and Challenge are the three checkpoints.

➗ Shapes and patterns

⭐ 0

3 📖 Explain

3D shapes have faces, edges and corners. A cube has 6 square faces, 12 edges and 8 corners. A cuboid has the same numbers, but its faces are rectangles.

A cylinder has 2 flat circle faces and a curved side, so it can roll and stand. A cone has 1 flat face and 1 corner at its tip. A sphere has no flat faces at all.

A pattern repeats in a fixed way. In a rangoli we can find the repeating part and say what comes next.

🇮🇳 Example from India

In a kitchen: a tea tin is a cylinder, a sugar cube is a cube, a funnel looks like a cone and a laddoo is a sphere.

⚠️ Common mistake

✗ A cube and a cuboid are the same shape.
✓ Both have 6 faces, but all faces of a cube are equal squares; a cuboid has rectangles of different sizes.

📒 Glossary

face
a flat or curved surface of a shape
edge
where two faces meet
corner (vertex)
where edges meet at a point

4 ✍️ Practice

Play Medium and Challenge in the 3D scene. The bars show how many you got right the first time.

🌳 Medium 🏆 Challenge

My mastery (right first time / played)

  • Easy0 / 0
  • Medium0 / 0
  • Challenge0 / 0

5 🏡 Real-life task

Try this at home or at school, then check the suggested answer.

Scenario You need a box to pack a gift. Will you choose a cuboid or a sphere? Explain.

Show a suggested answer

A cuboid: its flat faces stack and stand, and corners fit together. A sphere would roll away.

🧪 Try this activity

Collect 6 objects at home. Sort them into cubes, cuboids, cylinders, cones and spheres. Then make a rangoli or bead pattern with a repeating part of three.

6 💭 Reflect

Think, then answer in your own words. Your notes stay on this device.

Observation In the 3D scene, turn the cube slowly. How many corners do you count, and how did you avoid counting one twice?

Show a suggested answer

8 corners: 4 on the top face and 4 on the bottom face. Counting top and bottom separately stops double counting.

Explain / create Create a rangoli pattern with a repeating part and ask a friend to continue it.

Show a suggested answer

Example: circle, triangle, triangle, circle, triangle, triangle… The repeating part is circle–triangle–triangle, so a circle comes next.