Fractions of a whole
Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a/b as a parts of size 1/b
Typical age: 8–9 years
“If you cut a pizza into 6 equal slices, can your child explain what 1/6 means — and then work out what 4/6 of the pizza looks like?”
0 / 3 mastered
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Needs first
- Fractions of amountsREQUIRED
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Fraction NotationREQUIRED
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+)REQUIRED
Partition into equal shares is prerequisite to understanding unit fractions
Unlocks next
- Understanding fractions (age 9+)REQUIRED
Understanding a/b as a parts of size 1/b is prerequisite to understanding a/b as sum of 1/b
- Fractions of a whole (age 8+)REQUIRED
Must understand a/b notation before expressing whole numbers as fractions
- Equivalent fractions on a number lineREQUIRED
Must understand unit fractions to reason about equivalence
- Halves and quarters (age 8+)
Understanding fractions supports measuring to nearest half/quarter inch
- Comparing fractions (age 8+)REQUIRED
Must understand unit fraction size reasoning for same-numerator comparison
- Fractions as parts of shapesREQUIRED
Must understand unit fractions to express area parts as 1/b
- Fractions on a number line (age 8+)REQUIRED
Must understand unit fractions before placing them on number line