Number & Operations: Fractions Progression Map

Common Core MathGrades 3 to 517 core standards · 34 related · 86 connections

The fractions thread from understanding unit fractions to dividing fractions, and where it feeds ratios and the rational number system.

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Core learning progression

Select a standard to see its exact path and cross-topic foundations.

Grade 3

3 standards

Grade 4

7 standards

Grade 5

7 standards

How to Read This Map

Start in the focused explorer, where standards are grouped into human-readable skill threads and placed in grade order. Select a standard to see what it builds on and what it unlocks. The full network preserves every verified connection: solid lines are essential prerequisites and dashed lines are supporting connections. Cross-topic foundations appear in a selected standard's details. Every standard links to a full breakdown with teaching ideas. How these connections are verified.

All standards on this map, as a list

Number & Operations: Fractions

  • 3.NF.A.2Understand a fraction as a number on the number line; represent fractions on a number line diagram.
  • 3.NF.A.3Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
  • 3.NF.A.1Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
  • 4.NF.B.3Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
  • 4.NF.A.1Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions...
  • 4.NF.B.4Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
  • 4.NF.C.7Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the...
  • 4.NF.A.2Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that...
  • 4.NF.C.5Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.
  • 4.NF.C.6Use decimal notation for fractions with denominators 10 or 100.
  • 5.NF.B.3Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed...
  • 5.NF.A.2Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to...
  • 5.NF.A.1Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of...
  • 5.NF.B.6Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
  • 5.NF.B.4Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
  • 5.NF.B.7Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
  • 5.NF.B.5Interpret multiplication as scaling (resizing), by:

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