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Halves & Quarters of Shapes

CONCEPTUAL
Mathematics›Fractions|Ages 6—7|ID: mt_xACS3rWWDp

Partition circles and rectangles into two and four equal shares and describe them using the words halves, fourths, and quarters

Mastery Evidence

  • Divide a circle into two equal halves
  • Divide a rectangle into four equal quarters
  • Describe the whole as 'two halves' or 'four quarters'

Assessment Prompt

“If you give [child] a round pizza or a rectangular chocolate bar, can they divide it into four equal pieces and tell you each piece is called a quarter or a fourth?”

Curriculum Standards1 alignment

1.G.3Common Core State Standards for Mathematics
Partition circles and rectangles

Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.

G

Prerequisites2

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  • Finding halves and quarters (age 5+) hard

    Partitioning into fourths/quarters 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

    Partitioning shapes into halves 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'

Unlocks2