Fraction Islands

A dock must be split into equal shares. You choose halves or fourths, then whether the pieces stay equal.

Grades 1, 2, 3 · partition

One equal part of the reef must be marked. You choose the denominator, then whether to shade one part or the whole.

Grades 3 · unit-fractions

The ferry stops on equal jumps from 0 to 1. You choose the jump size, then whether to count spaces or tick marks.

Grades 3, 4 · fraction-line

Two pools look different and hold the same water. You choose which fraction to rewrite, then whether to scale both terms or only the numerator.

Grades 3, 4 · equivalent-fractions

Two islands claim to be the larger share of the same whole. You choose a comparison, then whether to use the same whole or the flashier digits.

Grades 3, 4 · compare-fractions

Two dishes share a denominator. You choose which to add, then whether to add numerators only or denominators too.

Grades 4 · add-like-fractions

Two shores use different denominators. You choose a common piece size, then whether to rewrite both fractions or add too soon.

Grades 5 · add-unlike-fractions

A wind takes a fraction of a sail, then a fraction of what remains. You choose to multiply or to divide, and whether 'of' means multiply.

Grades 4, 5 · multiply-fractions