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Combining Simple Shapes

Compose simple shapes to form larger shapes (e.g. two triangles make a rectangle)

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What a learner can do afterwards

  • Join two triangles to make a rectangle or larger triangle
  • Use pattern blocks to fill a hexagon outline
  • Create a picture or design by combining basic shapes

1 · Read

You know shapes like triangles and squares. Take a rectangle. Cut it from corner to corner. You get two matching triangles. The cut edge is the long edge on each part.

Cut a rectangle like this one from corner to corner to make two matching triangles.
Try it together

Ben has a six-sided puzzle. It has six matching triangle pieces. They fill it with no gaps. A shape with six straight sides is called a hexagon.

Shapes can make a picture. A triangle on top of a square makes a house. The triangle is the roof. A triangle sail and a long hull make a boat. The hull is the boat's body.

triangle roofsquare housetriangle saillong hull

Round edges leave gaps. A circle cannot press flat on a straight edge. That is why a circle cannot fill a rectangle corner.

Good to know

Try turning a shape around. Sometimes a turned shape fits together better.

Small shapes can join together to make bigger, new shapes.

2 · Watch

Take it off screen

Print a worksheetA4 with an answer key page for grown-ups. No screen, no internet.

Where it sits

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

18 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

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Combining Simple Shapes · Mathematics, ages 5 to 6 · LightMySky