LightMySky

Composing Shapes

Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, quarter-circles) to create composite shapes, and compose new shapes from the composite shape

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What a learner can do afterwards

  • Combine two triangles to form a rectangle or larger triangle
  • Put together half-circles and quarter-circles to form circles or new shapes
  • Decompose a composite shape and describe which simpler shapes make it up

The lesson

You already know how to put two shapes together to make a new one. Now you will go further. You can put together shapes like triangles, half-circles, and quarter-circles to build new shapes. You can even use the new shape you just built to build something even bigger.

Tap to shade 2 of the 2 parts.
Two half-circles fit together, flat edge to flat edge, with no gaps. Together they make one whole circle.
Try it together

Leo has two same-size right triangles. He flips one over and slides it next to the other so their long slanted sides touch with no gaps. Now the two triangles together make one rectangle.

A shape you build, like Leo's rectangle, is called a composite shape. You can use a composite shape just like any other piece. Put a triangle on top of the rectangle, and you have built a little house.

Good to know

When you see a big shape, look closely for the smaller shapes hiding inside it. Ask yourself: which flat shapes were put together to make this one?

Put simple shapes together to build new shapes, then use those new shapes to build something even bigger.

Watch it

Where it sits

Learn first

This opens up

Nothing builds on it yet.

Where this leads

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

Then practise

8 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.

Composing Shapes · Mathematics, ages 6 to 7 · LightMySky