S1 · Applied mathematics · PCT.APPLICATION

Percentage applications

Intuition

Understand first, compress later.

Mathematical models translate real situations into quantities, relationships and assumptions.

Switch representations

Percent bar60 %

inked hundredthsremaining hundredths

The bar is one whole cut into 100 equal hundredths, and 60 of them are inked. Percent, fraction and decimal are three ways of writing that one same amount.

Formal view

You can percentage applications when you can recognise the underlying objects, select valid rules and check each step for equivalence or logical implication.

Why does it work?

This skill sits on a prerequisite network. If a step is unstable, repair the missing prerequisite instead of merely doing more items of the same type.