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Proportion playground – comparing ratios

MathematicsAlgebraAges 12–13

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Four everyday contexts – bead necklaces, mixing paint, billiard tables and buying apples or guavas – each place two groups A and B side by side so you can compare two ratios: count round and square beads on two necklaces, mix blue and yellow into two colours, choose the size of two rectangular billiard tables and watch the path of a ball bouncing off the cushions, or compare unit prices when buying different quantities for different totals. The simulation simplifies each ratio and tells you straight away whether the two sides are in the same ratio. Adapted from the "Proportion Playground" simulation by PhET Interactive Simulations, University of Colorado Boulder (CC BY 4.0); rewritten.

Lesson: Direct proportion

How to use

Parameters you can change

  • Screen Necklace, Paint, Billiards, Apples/guavas
  • Show simplest ratio on the figure
  • Necklace A: round beads 0–12 beads
  • Necklace A: square beads 0–12 beads
  • Necklace B: round beads 0–12 beads
  • Necklace B: square beads 0–12 beads
  • Cup A: blue drops 1–10 drops
  • Cup A: yellow drops 1–10 drops
  • Cup B: blue drops 1–10 drops
  • Cup B: yellow drops 1–10 drops
  • Table A: width W 1–6 squares
  • Table A: length L 1–6 squares
  • Table B: width W 1–6 squares
  • Table B: length L 1–6 squares
  • Group A: number of fruit 1–12 fruit
  • Group A: total cost 1–12 USD
  • Group B: number of fruit 1–12 fruit
  • Group B: total cost 1–12 USD
  • Fruit Apples, Guavas

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