Math · ScaleVISUAL DISCOVERY 10 OF 1,100

Grow Every Direction

Explorer · about 8 minutes · a little curiosity goes a long way

For grown-ups
Today’s little discovery

Scaling by k multiplies every horizontal and vertical length by k, creating k × k copies in area. A solid adds a third direction, making k³ copies.

Count copies across first, then rows.

This is a learning model. Try the take-home activity together.
Voice settings

Using Heart (en-US).

Your selected voice and opening narration get ready when the page opens with Sound on. The first visit downloads a voice model (about 92 MB), which your browser can cache. No lesson text is sent to a speech service.The sample plays once and does not change the Sound on/off setting.
  1. Wonder
  2. Guess
  3. Try it
  4. Discover
  5. Celebrate
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2 across × 2 upSide scale2×Area scale4×Volume scale8×
HERE’S A LITTLE WONDER…

Why does a twice-as-wide shape cover four times the area?

A tiny tile is enlarged like a photo, equally in every direction.

No rush. Try an idea and see.