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Fractions of amounts

CONCEPTUAL
Mathematics›Fractions|Ages 6—7|ID: mt_cFltwUQi-d

Recognise, find, name, and write fractions 1/3, 1/4, 2/4, and 3/4 of a length, shape, set of objects, or quantity

Mastery Evidence

  • Find 1/3 of 12 objects by sharing into 3 equal groups
  • Shade 3/4 of a rectangle that has been divided into 4 equal parts
  • Identify 1/4 of a length on a number line or ruler

Assessment Prompt

“If you put 12 grapes on the table, can [child] count out a quarter of them — and then show you what three-quarters of the grapes looks like?”

Curriculum Standards1 alignment

Maths/Y2/F/1The national curriculum in England
Recognise and find fractions

Recognise, find, name and write fractions 1/3, 1/4, 2/4 and 3/4 of a length, shape, set of objects or quantity.

Mathematics · Key Stage 1

Prerequisites4

Show full prerequisite tree
  • Finding halves and quarters (age 5+) hard

    Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters

    • What Is a Half? hard

      Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4

      • Division as equal sharing hard

        Finding a half requires equal sharing into 2 groups — a division concept

        • Subtraction as taking away or separating hard

          Division as equal sharing/grouping requires understanding subtraction as taking away/separating

          • How Many in Total? hard

            Understanding subtraction as taking away requires knowing numbers represent quantities (cardinality)

            • One-to-one counting hard

              Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

  • What Is a Half? hard

    Working with fractions extends from Y1 understanding of halves

    • Division as equal sharing hard

      Finding a half requires equal sharing into 2 groups — a division concept

      • Subtraction as taking away or separating hard

        Division as equal sharing/grouping requires understanding subtraction as taking away/separating

        • How Many in Total? hard

          Understanding subtraction as taking away requires knowing numbers represent quantities (cardinality)

          • One-to-one counting hard

            Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

  • Division as equal sharing soft

    Finding fractions of quantities uses equal sharing (division)

    • Subtraction as taking away or separating hard

      Division as equal sharing/grouping requires understanding subtraction as taking away/separating

      • How Many in Total? hard

        Understanding subtraction as taking away requires knowing numbers represent quantities (cardinality)

        • One-to-one counting hard

          Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

  • Fraction Notation hard

    Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator

Unlocks5