Equivalence - thirds and sixths

  • Equivalence - thirds and sixths
  • Course: Mathematics
  • Grade: Year 5
  • Section: Fractions
  • Outcome: Modelling equivalent fractions.
  • Activity Type: Printable
  • Activity ID: 4003

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United Kingdom – National Curriculum expand/collapse

  • KS2.Y3 – KS2 Year 3
    • Year 3 programme of study
      • KS2.Y3.N.F – Number - fractions

        • Pupils should be taught to:

          • KS2.Y3.N.F.4 – Recognise and show, using diagrams, equivalent fractions with small denominators

  • KS2.Y4 – KS2 Year 4
    • Year 4 programme of study
      • KS2.Y4.N.F – Number - fractions (including decimals)

        • Pupils should be taught to:

          • KS2.Y4.N.F.1 – Recognise and show, using diagrams, families of common equivalent fractions

  • KS2.Y5 – KS2 Year 5
    • Year 5 programme of study
      • KS2.Y5.N.F – Number - fractions (including decimals and percentages)

        • Pupils should be taught to:

          • KS2.Y5.N.F.2 – Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths

Australia – Australian Curriculum expand/collapse

  • Year 4
    • Number and Algebra
      • Fractions and decimals

        • ACMNA077 – Investigate equivalent fractions used in contexts

        • ACMNA078 – Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line

New Zealand – National Standards expand/collapse

  • 5 – Year 5
    • 5.NA – Number and algebra
      • 5.NA.1 – Apply additive and simple multiplicative strategies and knowledge of symmetry to:

        • 5.NA.1.b – find fractions of sets, shapes, and quantities

United States – Common Core State Standards expand/collapse

  • 4 – Grade 4
    • 4.NF – Number & Operations—Fractions (Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, 100.)
      • Mathematics

        • 4.NF.1 – Explain 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 themselves are the same size. Use this principle to recognize and generate equivalent fractions.

  • 3 – Grade 3
    • 3.NF – Number & Operations—Fractions¹ (Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, 8.)
      • Mathematics

        • 3.NF.3 – Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

          • 3.NF.3.a – Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.