What is Proportional Reasoning?

Comparing and converting on the fly

Proportional reasoning is your ability to understand and compare ratios, fractions, and relative quantities. It's how you figure out that 30% off a $50 item is a better deal than 20% off a $70 item, or how to scale a recipe from four servings to six without making a mess.

Source

Piaget, J., & Inhelder, B. (1975). The Origin of the Idea of Chance in Children. W. W. Norton & Company.

In real life...

When you encounter a proportion problem in daily life, try anchoring to a simple reference point. For percentages, start from 10% (just move the decimal point) and build from there. Need 15%? Take 10% and add half of it. These mental benchmarks make proportional calculations feel almost effortless.

Connected games

Halve Your Cake

Math