Liri floated past the skylight and suddenly stopped.
Liri: “Erklärus – your window is a rectangle! And the Moon behind it is a circle!”
Erklärus: “Now you see it too. Shapes are everywhere – you just have to look closely.”
Shapes everywhere
🔵 The four basic shapes
There are four shapes that you can find almost everywhere:
Circle
round, no corners
e.g. the Moon
e.g. the Moon
Triangle
3 corners, 3 sides
e.g. the tip of a rocket
e.g. the tip of a rocket
Square
4 equal sides
e.g. a pane of glass
e.g. a pane of glass
Rectangle
4 corners, sides of different lengths
e.g. the blackboard
e.g. the blackboard
🎒 The feely bag – recognising shapes without looking
Erklärus reaches into a bag without looking inside and feels a shape.
Erklärus: “I can feel: three corners, three edges. What is it?”
Circle
Triangle
Square
Erklärus: “Another one: completely round, no corners at all. What is it?”
Circle
Rectangle
Square
🔁 Continuing patterns
Patterns repeat again and again in the same rhythm. What comes next?
🔴
🔵
🔴
🔵
?
🔴
🔵
Now a trickier pattern:
🔺
⚪
⚪
🔺
⚪
?
⚪
🔺
🌌 Shapes in the universe
Seen from far away, the Earth is almost a perfect circle – a sphere.
The tip of many rockets is a triangle, so that they cut through the air better.
If you join bright stars in the sky with lines, constellations appear – whole patterns made of dots!
A new way of looking
Liri looked around the room once more. Everywhere that there had only been things before, she now saw shapes.
Liri: “I think I see the world differently now.”
Erklärus: “That is geometry. It doesn’t change the world – it changes how you look at it.”
Liri: “Now I recognise the shapes in my memories too – the ring of the giant planet was a circle, the tip of the rocket a triangle. I’ll draw them on my star map.”
“The four basic shapes: circle, triangle, square, rectangle. Patterns repeat in a rhythm – if you find the rhythm, you know what comes next.”
What you learned today
Circle · Triangle · Square · Rectangle
Spotting patterns: find the rhythm, then continue it
🌟
Chapter 5 mastered!
Erklärus and Liri now see the world with mathematical eyes – full of shapes and patterns.
Erklärus’s notebook – page 5:
“Four basic shapes: circle, triangle, square, rectangle. You recognise shapes by their corners and sides – even with your eyes closed. Continuing a pattern means: finding the rhythm.”
“Four basic shapes: circle, triangle, square, rectangle. You recognise shapes by their corners and sides – even with your eyes closed. Continuing a pattern means: finding the rhythm.”