Predict first: which grows faster over a month, adding the same amount every day or multiplying by 2 every day? Then we'll race them.
Adding always makes a straight line, even if the amount is huge. Predict whether a bigger fixed amount can ever beat doubling, then test it on the slider.
Doubling never stops on the screen, but real forests and bank accounts do slow down. Predict what limit stops each one before we name it.
Where it shows up in real life
A rumor or chain message spreading through a class — each kid tells two friends and the whole school knows by lunch.
Folding paper, where each fold doubles the number of layers.
Money in a savings account earning compound interest, growing a slice of itself each year.
Predict first: which grows faster over a month, adding the same amount every day or multiplying by 2 every day? Then we'll race them.
Adding always makes a straight line, even if the amount is huge. Predict whether a bigger fixed amount can ever beat doubling, then test it on the slider.
Doubling never stops on the screen, but real forests and bank accounts do slow down. Predict what limit stops each one before we name it.