Curriculum & Standards · Fractions

Fractions, calibrated to the world's most demanding primary fractions track.

From half of a circle to dividing a fraction by a fraction, percent change and ratio — sequenced through CPA (Concrete-Pictorial-Abstract) with Singapore's bar model as the closing tool, matching Singapore P1-P6, CCSS 3-5.NF and Japan G3-G6.

Skills

Modules (hex)

Official standards benchmarked

5–12

Age coverage

Why fractions are the most-cited K-12 sticking point — and how we close it

TIMSS and PISA both flag fractions as the topic with the largest gap between top and average performers. Singapore P5 closes with all four operations including fraction × fraction and whole ÷ fraction, all wrapped in bar-model word problems. Rodybee tracks that progression skill-for-skill.

#	Country	TIMSS score
1	🇸🇬Singapur	615
2	🇹🇼Chinese Taipei	607
3	🇭🇰Hong Kong	594
3	🇰🇷Corea	594
5	🇯🇵Japón	591

Source: TIMSS 2023 Grade 4 Math Achievement ↗

Find your child's level

Pick an age and see exactly what we teach at that point — and what the most demanding standards in the world expect at the same age. There's no marketing fluff: each topic links to the official curriculum document.

Your child's age

Rodybee for your child · 7 años

What we teach at this age

Half of a figure or set
Find half of a shape or a small set of objects.
In module · Fractions 1 — Foundations
A quarter of a figure or set
Find a quarter of a shape or a set of 4-28 objects.
In module · Fractions 1 — Foundations
Half of even numbers
Find half of any even number.
In module · Fractions 1 — Foundations
Quarter of multiples of 4
Find a quarter of multiples of 4.
In module · Fractions 1 — Foundations
A third of multiples of 3
Find one third of multiples of 3 like 6, 9, 12.
In module · Fractions 2 — Partitions & unit fractions
Naming unit fractions
Match unit fractions (1/2, 1/3, 1/4 …) with their names.
In module · Fractions 2 — Partitions & unit fractions
Equal parts
Recognize when a whole is split into equal parts.
In module · Fractions 2 — Partitions & unit fractions
Fraction notation a/b
Read and write fractions as a/b with denominators 2, 3, 4, 5, 6, 8, 10.
In module · Fractions 3 — Notation & number line
Fractions on the number line
Locate fractions on a number line from 0 to 1.
In module · Fractions 3 — Notation & number line
Unit vs non-unit fractions
Tell unit fractions (1/b) from non-unit fractions (a/b).
In module · Fractions 3 — Notation & number line
Wholes as fractions
Recognize that 4/4 = 1 and 3 = 3/1.
In module · Fractions 3 — Notation & number line

Highest international bar at this age · G1

🇬🇧Reino Unido

Mitad y cuarto formales como operadores. Cambridge Stage 1 introduce ½ y ¼.

🇬🇧Reino Unido
Year 1: ½ y ¼ de objetos, formas y cantidades. Lenguaje formal de fracciones simples.
Source: UK Primary National Curriculum Mathematics ↗
🇦🇺Australia
Year 1: identificar y describir mitades, cuartos y eighths.
Source: ACARA Mathematics F-6 Sequence of Content ↗
🇺🇸Estados Unidos
1.G.A.3: partir círculos y rectángulos en mitades y cuartos.
Source: CCSS Number & Operations—Fractions (3-5.NF, 6.NS) ↗

Grade-by-grade benchmark

Full table of what each major standard expects per grade. Every cell is sourced from the official ministry, board or framework document.

Kindergarten / Reception · ~5–6 años

Highest bar · 🇬🇧 Reino Unido

Mitad y cuarto como operadores informales sobre figuras y conjuntos pequeños.

Country	Expected topics	Official source
🇬🇧Reino Unido	Reception: half y quarter como conceptos informales con manipulables.	UK Primary National Curriculum Mathematics ↗
🇦🇺Australia	Foundation: identificar mitades de figuras simples.	ACARA Mathematics F-6 Sequence of Content ↗
🇺🇸Estados Unidos	Implícito vía partitioning en G1 (1.G.A.3): mitades y cuartos.	CCSS Number & Operations—Fractions (3-5.NF, 6.NS) ↗

Rodybee skills at this grade

Half of a figure or set

1° / Year 1 / P1 · ~6–7 años

Highest bar · 🇬🇧 Reino Unido

Mitad y cuarto formales como operadores. Cambridge Stage 1 introduce ½ y ¼.

Country	Expected topics	Official source
🇬🇧Reino Unido	Year 1: ½ y ¼ de objetos, formas y cantidades. Lenguaje formal de fracciones simples.	UK Primary National Curriculum Mathematics ↗
🇦🇺Australia	Year 1: identificar y describir mitades, cuartos y eighths.	ACARA Mathematics F-6 Sequence of Content ↗
🇺🇸Estados Unidos	1.G.A.3: partir círculos y rectángulos en mitades y cuartos.	CCSS Number & Operations—Fractions (3-5.NF, 6.NS) ↗

Rodybee skills at this grade

A quarter of a figure or set · Half of even numbers · Quarter of multiples of 4

2° / Year 2 / P2 · ~7–8 años

Highest bar · 🇬🇧 Reino Unido

Tercios + nombrar fracciones unitarias generales (1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/10).

Country	Expected topics	Official source
🇬🇧Reino Unido	Year 2: 1/3 explícito. Equivalencias 2/4 = 1/2. Combinar fracciones con +.	UK Primary National Curriculum Mathematics ↗
🇺🇸Estados Unidos	2.G.A.3: extender particiones a tercios.	CCSS Number & Operations—Fractions (3-5.NF, 6.NS) ↗
🇸🇬Singapur	P2: half, quarter, third con manipulables y representación icónica (CPA).	Singapore MOE Primary Mathematics Syllabus 2021 ↗

Rodybee skills at this grade

A third of multiples of 3 · Naming unit fractions · Equal parts

3° / Year 3 / P3 · ~8–9 años

Highest bar · 🇺🇸 Estados Unidos

Notación a/b. Recta numérica como representación canónica. Equivalencia y comparación. ± mismo denom.

Country	Expected topics	Official source
🇺🇸Estados Unidos	3.NF.A.1-3: a/b como a copias de 1/b. Recta numérica. Equivalencia y comparación con denom igual o numerador igual.	CCSS Number & Operations—Fractions (3-5.NF, 6.NS) ↗
🇸🇬Singapur	P3: equivalencias y suma/resta con mismo denom. Comparación con denom hasta 12.	Singapore MOE Primary Mathematics Syllabus 2021 ↗
🇯🇵Japón	G3: introducción formal de fracciones como medida (unitary view).	MEXT Japan Elementary School Mathematics ↗

Rodybee skills at this grade

Fraction notation a/b · Fractions on the number line · Unit vs non-unit fractions · Wholes as fractions · Equivalent halves

4° / Year 4 / P4 · ~9–10 años

Highest bar · 🇸🇬 Singapur

Equivalencia general. Simplificar. ± related denom. Fracción de cantidad. Improper y mixed numbers. Decimales tenths/hundredths.

Country	Expected topics	Official source
🇸🇬Singapur	P4: fracciones equivalentes, simplificar, comparación y orden, fracción de cantidad. Mixed/improper. Conexión decimal.	Singapore MOE Primary Mathematics Syllabus 2021 ↗
🇺🇸Estados Unidos	4.NF: equivalencia con multiplicación/división. ± con related denoms. Fracción × entero. Decimales tenths/hundredths.	CCSS Number & Operations—Fractions (3-5.NF, 6.NS) ↗
🇯🇵Japón	G4: improper y mixed numbers formales. Operaciones con mismo denom.	MEXT Japan Elementary School Mathematics ↗

Rodybee skills at this grade

Equivalent fractions (general) · Simplify fractions · Compare fractions (same denominator) · Compare fractions (same numerator) · Compare unlike fractions · Add halves · Add fractions (same denom) · Subtract fractions (same denom) · Add fractions (related denom) · Subtract fractions (related denom) · Unit fraction of a quantity · Fraction of a quantity · Improper fractions · Mixed numbers · Convert improper ↔ mixed · Fraction → decimal (tenths) · Fraction → decimal (hundredths) · Decimal → fraction · Fraction → percent · Percent → fraction / decimal

5° / Year 5 / P5 · ~10–11 años

Highest bar · 🇸🇬 Singapur

Las cuatro operaciones de fracciones. Bar model multi-step. Singapur P5 cierra el currículum nivel mundial.

Country	Expected topics	Official source
🇸🇬Singapur	P5: cuatro operaciones de fracciones (proper × proper, mixed × whole). División entero ÷ fracción y fracción ÷ entero. Bar model multi-step.	Singapore MOE Primary Mathematics Syllabus 2021 ↗
🇺🇸Estados Unidos	5.NF: ± unlike denom. Mult fracción × fracción. División fracción ÷ whole y whole ÷ unit fraction.	CCSS Number & Operations—Fractions (3-5.NF, 6.NS) ↗
🇯🇵Japón	G5: mult/div fracciones. Cálculo formal con denoms distintos.	MEXT Japan Elementary School Mathematics ↗

Rodybee skills at this grade

Add fractions (unlike denom) · Subtract fractions (unlike denom) · Multiply fraction × whole · Multiply fraction × fraction · Divide fraction ÷ whole · Divide whole ÷ fraction

6° / Year 6 / P6 · ~11–12 años

Highest bar · 🇸🇬 Singapur

División fracción ÷ fracción. Porcentaje aplicado (descuentos, impuestos). Razón ↔ fracción. Bar model multi-step avanzado.

Country	Expected topics	Official source
🇸🇬Singapur	P6: descuentos, impuestos, intereses simples. Razón multi-quantity. Velocidad. Word problems algebraicos con bar model.	Singapore MOE Primary Mathematics Syllabus 2021 ↗
🇺🇸Estados Unidos	6.NS.A.1: división fracción ÷ fracción con interpretación.	CCSS Number & Operations—Fractions (3-5.NF, 6.NS) ↗
🇯🇵Japón	G6: operaciones con fracciones generales. Ratio y proporción.	MEXT Japan Elementary School Mathematics ↗

Rodybee skills at this grade

Divide fraction ÷ fraction · Word problems with bar model · Fractions in measurement · Percent increase / decrease · Fractions and ratio

Full research document

Methodology, gap analysis, recommendations and the complete list of sources are in the underlying research markdown.

Read the full benchmark document →