Equivalence between fifths and tenths

  • Equivalence between fifths and tenths
  • Course: Mathematics
  • Grade: Year 7
  • Section: Fractions
  • Outcome: Calculating equivalent fractions
  • Activity Type: Printable
  • Activity ID: 4242

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United Kingdom – National Curriculum expand/collapse

  • 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

  • Year 5
    • Number and Algebra
      • Fractions and decimals

        • ACMNA103 – Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator

        • ACMNA105 – Compare, order and represent decimals

  • Year 6
    • Number and Algebra
      • Fractions and decimals

        • ACMNA125 – Compare fractions with related denominators and locate and represent them on a number line

        • ACMNA127 – Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies

        • ACMNA131 – Make connections between equivalent fractions, decimals and percentages

  • Year 7
    • Number and Algebra
      • Real numbers

        • ACMNA152 – Compare fractions using equivalence. Locate and represent fractions and mixed numerals on a number line

        • ACMNA157 – Connect fractions, decimals and percentages and carry out simple conversions

New Zealand – National Standards expand/collapse

  • 7 – Year 7
    • 7.NA – Number and algebra
      • 7.NA.1 – Apply additive and multiplicative strategies flexibly to whole numbers, ratios, and equivalent fractions (including percentages)

  • 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.